Therefore, the volume of the ore is 0.0069 cubic meters.
What is volume?Volume is a measure of the amount of space that an object or substance occupies. It is a fundamental physical quantity that describes the three-dimensional size of an object or space. The SI unit of volume is the cubic meter (m³), but other units such as liters, gallons, and cubic centimeters (cm³) are also commonly used. Volume can be calculated for regular shapes, such as cubes or cylinders, using mathematical formulas, but for irregular shapes, more complex methods, such as displacement, may be needed.
Here,
To calculate the volume of the ore, we need to convert all the measurements to the same unit. We can choose to convert everything to meters since that's the base unit for volume (cubic meters).
8.8 dm = 0.88 m (1 dm = 0.1 m)
92.4 mm = 0.0924 m (1 mm = 0.001 m)
0.007 dam = 0.07 m (1 dam = 10 m)
Now we can use the formula for volume of a rectangular block:
Volume = length x width x height
Volume = 0.88 m x 0.0924 m x 0.07 m
Volume = 0.0069 cubic meters
To know more about volume,
https://brainly.com/question/25252629
#SPJ9
helllp science ixl U.1
Answer:
All of the above.
Explanation:
Terms
- Chlorophyll is the green coloring matter of leaves and plants, essential to the production of carbohydrates by photosynthesis, and occurring in a bluish-black form, C55H72MgN4O5 (chlorophyll a), and a dark-green form, C55H70MgN4O6 (chlorophyll b).
- Photosynthesis is the complex process by which carbon dioxide, water, and certain inorganic salts are converted into carbohydrates by green plants, algae, and certain bacteria, using energy from the sun and chlorophyll.
- Carbon dioxide is a colorless, odorless, incombustible gas, CO2, present in the atmosphere and formed during respiration, usually obtained from coal, coke, or natural gas by combustion, from carbohydrates by fermentation, by reaction with limestone or other carbonates, or naturally from springs: used extensively in industry as dry ice, or carbon dioxide snow, in carbonated beverages, fire extinguishers, etc.
- Water is a transparent, odorless, tasteless liquid, a compound of hydrogen and oxygen, H2O, freezing at 32°F or 0°C and boiling at 212°F or 100°C, that in more or less impure state constitutes rain, oceans, lakes, rivers, etc.: it contains 11.188 percent hydrogen and 88.812 oxygen, by weight.
- Plants cells are the cells present in green plants, photosynthetic eukaryotes of the kingdom Plantae. Their distinctive features include primary cell walls containing cellulose, hemiculloses and pectin, the presence of plastids with the capability to perform photosynthesis and store starch, a large vacuole that regulates turgor pressure, the absence of flagella or centrioles, except in the gametes, and a unique method of cell division involving the formation of a cell plate or phragmoplast that separates the new daughter cells.
- Celluar respiration is the oxidation of organic compounds that occur within cells, producing energy for cellular processes.
- Chemical energy is the net potential energy liberated or absorbed during the course of a chemical reaction.
-------------------------------------------------------------------------------------------------
First: True
The process by which Chlorophyll is able to trap energy from Sun is called Photosynthesis, because this trapped light (Electromagnetic) energy is converted into chemical energy and stored in Glucose synthesized from carbon dioxide and water as per following reaction
6CO2 + 6H2O = -—-Light Energy---> C6H12O6+ 6O2
-------------------------------------------------------------------------------------------------------
Second: True
Plants absorb water (H2O) and carbon dioxide (CO2) from the earth and atmosphere during photosynthesis. Water is oxidized, which means it loses electrons, while carbon dioxide is reduced, which means it gets electrons, inside the plant cell. Water is converted into oxygen and carbon dioxide into glucose as a result.
----------------------------------------------------------------------------------------------------
Third: True
During the photosynthetic process in a plant cell, chloroplast produces sugar by transforming light energy into chemical energy held in glucose. The process of cellular respiration in mitochondria converts sugar into energy that plant cells can use to survive and develop.
----------------------------------------------------------------------------------------------------
Fourth: True
In the light reactions, one molecule of the pigment chlorophyll absorbs one photon and loses one electron. This electron is passed to a modified form of chlorophyll called pheophytin, which passes the electron to a quinonemolecule, allowing the start of a flow of electrons down an electron transport chain that leads to the ultimate reduction of NADP to NADPH. In addition, this creates a proton gradient across the chloroplast membrane; its dissipation is used by ATP synthase for the concomitant synthesis of ATP. The chlorophyll molecule regains the lost electron from a water molecule through a process called photolysis, which releases a dioxygen (O2) molecule. The overall equation for the light-dependent reactions under the conditions of non-cyclic electron flow in green plants is:
2 H2O + 2 NADP+ + 3 ADP + 3 Pi + light → 2 NADPH + 2 H++ 3ATP+ O2
-------------------------------------------------------------------------------------------------------
#SPJ1
NASA is currently working on sending humans to Mars by the 2030s. When astronauts arrive on Mars, NASA intends to already have their food supply there. The food will be sent by an unmanned spacecraft. It will then be stored, unrefrigerated, for five to seven years. List at least two likely constraints and two likely criteria for this engineering design problem.
Constraints:
Limited space on the unmanned spacecraft for carrying food supplies.
The food must be durable enough to withstand the harsh conditions of space travel and long-term storage on Mars.
Criteria:
Nutritional value: The food must provide adequate nutrition to support the physical and mental health of astronauts during their mission on Mars.
Taste and variety: The food should be appetizing and varied to help maintain astronauts' morale and well-being during their extended stay on Mars.
What is the benefit of unmanned spacecraft?Cost-effectiveness: Unmanned spacecraft are generally less expensive to build, launch, and operate than manned spacecraft. This is because they do not require life support systems, crew accommodations, or other specialized equipment needed to sustain human life in space.
Safety: Sending unmanned spacecraft eliminates the risks associated with human spaceflight, such as exposure to radiation, accidents, and medical emergencies.
Scientific research: Unmanned spacecraft can be designed to carry a variety of scientific instruments and sensors to collect data and perform experiments in space, without the limitations of human endurance and safety.
Learn more on NASA here: https://brainly.com/question/26560423
#SPJ1
Which direction will the barrel travel when the farmer applies a
downward unbalanced force on the pulley?
O Up
O Down
O Left
O No movement
A 4.0-N puck is travelling at 3.0m/s. It strikes an 8.0-N puck, which is stationary. The two
pucks stick together. Their common final speed is:
Answer: 2.858(m/s)
Explanation: F= mg→ m1= 4.0/9.8 = 0.408(kg)
m2= 8 /9.8 = 0.816(kg)
m1v1 = (m1+m2)v2→ v2= m1v1(m1+m2) = 0.408+3/(0.408+0.816)= 2.8589m/s)
A 2.0 kg object is moving to the right with a speed of 1.0 m/s when it experiences the force shown in the figure. (Figure 1)
What are the object’s speed and direction after the force ends? Express your answer to two significant figures and include the appropriate units. Enter positive value if the speed is directed to the right and negative value if the speed is directed to the left.
The object's speed and direction after the force ends is 0 m/s to the right.
How do we calculate?Applying the equation:
Δv = (F/ m) x Δt
where Δv = the change in velocity,
F_ = is the force,
m i= the mass, and
Δt = the time interval over which the force is applied.
Δv = (2 N / 2 kg) x 0.5 s = 1 m/s
The force is applied in the opposite direction to the initial velocity, the final velocity will be:
v_final = v_initial - Δv = 1 m/s - 1 m/s = 0 m/s
We then can conclude that the object's speed and direction after the force ends is 0 m/s to the right.
Learn more about force at: https://brainly.com/question/12970081
#SPJ1
ANSWER ALL CORRECTLY AND YOU GET AN EXTRA 20 POINTS, 5 STARS, THANKS,YOU CAN HAVE ME TYPE IN A SENTENCE YOU WANT ME TO SAY, AND BRAINIEST!!!! ANSWER HALF CORRECTLY AND YOU GET AN EXTRA 10 POINTS, 4 1/2 STARS, THANKS, AND YOU CAN HAVE ME TYPE IN A SENTENCE YOU WANT ME TO SAY!!! DEADLINE IS 11:00!!! YOU GOT THIS!!!!
1. What is most likely to happen if the cell membrane does not function properly?
2. If a bunch of flowers represents a tissue in the human body, what does each flower in the bunch represent?
3. If a bunch of flowers represents a tissue in the human body, what does each flower in the bunch represent?
4. Based on the way living things are organized, what level combines to form organ systems?
5. What cannot be broken down into simpler substances?
6. Is the big bang theory an everyday life theory or a scientific theory?
7. Which part of a cell releases energy that the cell uses?
8. What instruments uses charged particles to see very small objects like the ribosomes and other organelles inside a cell?
9. Name a molecule with more than one element
10. What processes produces food?
11. Greg is telling his teacher how a cell is like a house. Which part of a cell is like the air in Greg's house?
The answers to the questions about cells and their functions along with structure are given below.
Cell Functions and Structures.A cell is the basic unit of life. It is a small, self-contained structure that carries out all of the processes necessary for an organism to survive and function. Cells can be found in all living organisms, and they come in a wide variety of shapes, sizes, and functions.
If the cell membrane does not function properly, it can lead to a variety of problems depending on the specific issue. For example, if the membrane is too permeable, the cell can lose important molecules and ions, leading to improper functioning or even death. If the membrane is not permeable enough, the cell may not be able to take in necessary nutrients or expel waste products, which can also lead to problems.If a bunch of flowers represents a tissue in the human body, each flower in the bunch would represent an individual cell within that tissue.If a bunch of flowers represents a tissue in the human body, each flower in the bunch would represent an individual cell within that tissue.Cells combine to form tissues, which then combine to form organs, and organs combine to form organ systems.Elements cannot be broken down into simpler substances.The big bang theory is a scientific theory that explains the origins of the universe.The mitochondria is the part of the cell that releases energy that the cell uses.A transmission electron microscope (TEM) uses charged particles to see very small objects like the ribosomes and other organelles inside a cell.Water (H2O) is a molecule with more than one element.Photosynthesis is a process that produces food.The cytoplasm of a cell is like the air in Greg's house. It fills the space within the cell and provides a medium for the organelles to carry out their functions.Learn more about cells here https://brainly.com/question/3717876
#SPJ1
Accuracy: 100%
A student wants to estimate the gravitational force between an asteroid and a planet other than Earth.
Which of the following information would be most likely needed to make this calculation?
Select ALL that apply.
Elimination Tool
Select all that apply
A
B
C
D
E
G
F
The mass of the asteroid.
The mass of Earth.
The mass of the planet.
The radius of Earth.
The distance between the asteroid and the planet.
The constant g 9.80 m/s².
The constant G-6.67 x 10-¹¹ Nx m²/kg.
Answer:
Explanation:The information that would be most likely needed to make the calculation of the gravitational force between an asteroid and a planet other than Earth are:
The mass of the asteroid (A)
The mass of the planet (C)
The distance between the asteroid and the planet (E)
The constant G-6.67 x 10^-11 Nm²/kg (G)
Therefore, the options that apply are A, C, E, and G.
400-kg go-cart begins at rest and obtains a velocity of 20 m/s east after 10 seconds. a.) What is the object’s initial momentum?
The object's initial momentum is 0 kg*m/s.
The go-cart starts from rest, so its initial velocity (u) is zero. The final velocity (v) is 20 m/s. The mass of the go-cart is 400 kg.
The formula for momentum (p) is:
p = m * v
where m is mass and v is velocity.
Using the given values, we can calculate the momentum at the final velocity:
p = 400 kg * 20 m/s = 8000 kg*m/s
However, we are asked for the initial momentum, which we can find using the conservation of momentum principle. Since no external forces act on the go-cart, the total momentum of the system remains constant.
At the initial moment when the go-cart is at rest, its velocity (u) is zero and hence its momentum is also zero. Therefore, the initial momentum of the system is 0 kg*m/s.
What is momentum?
Momentum is a fundamental concept in physics that describes the amount of motion an object has. It is defined as the product of an object's mass and velocity.
To know more about momentum, visit:
https://brainly.com/question/30487676
#SPJ1
A scuba diver is in a freshwater lake with water of density 1000 kg/m3. To have neutral buoyancy, she has to wear a weight belt that has a mass of 8 kg.
a. If she and the rest of her gear had a total mass of 65 kg before putting on the weight belt, what is her total volume, in liters, after putting it on? 1 m3 = 1000 liters. (1 point)
b. If she takes a very deep breath, her body's volume increases by 3 L. What is the change in the buoyant force on her body? (1 point)
c. If her next dive is going to be in a saltwater lake (ρ = 1025 kg/m3), what mass of weight belt should she wear to have neutral buoyancy? (1 point)
When the gas in a swim freshwater lake allows its density to match that of the water around it, the fish is said to be in water level (Pflugrath et al., 2012). The maximal neutral buoyant depth (MNBD) is a limit below which fish will have become lot of negative if they swim. Your overall dive depth should be roughly being one your neutral buoyancy depth, but not less than ten metres (32ft).
Hence, as a solid item is embedded in a liquid, its volume increases, more fluid weight is displaced, increasing the hydrostatic pressure. The buoyant force is at its greatest when a solid item is fully submerged in a fluid.
The formula B = V g, where and V are indeed the entity's volume and capacity, correspondingly, and g is the velocity brought on by gravity, is used to calculate the buoyancy required for just an object. 1000 kg/m3 is the density of water. Thus, the required force is 1000 kg/m3 times 1 L times 9.81 m/s2 equals 9.81 N.
To know more about Freshwater Lake click here .
brainly.com/question/858802
#SPJ1
finish this tell me why tell me why
Answer:
Tell me why you cried, and why you lied to me
Tell me why you cried, and why you lied to me
Well I gave you everything I had
But you left me sitting on my own
Did you have to treat me, oh, so bad
All I do is hang my head and moan
Tell me why you cried, and why
Explanation:
When does alzheimers disease occur
Answer:
For most people with Alzheimer's — those who have the late-onset variety — symptoms first appear in their mid-60s or later. When the disease develops before age 65, it's considered early-onset Alzheimer's, which can begin as early as a person's 30s, although this is rare.
Use nodal analysis to find V1 and I1 in the circuit shown in Fig. 5.
From the nodal analysis, the value of V1 = -3V and the value of I1 = 2A. Voltage, current, and resistance-related versions of Ohm's law exist in three different forms.
What does the term "super-node" mean?A super-node is a concept that can be utilized to solve a circuit in circuit theory. This is accomplished by treating a voltage source on a wire as a point source voltage in comparison to other point voltages present at different nodes in the circuit, relative to a ground node given a charge of zero or negative.
What does the term "node" mean?In a network of data communication, a node is a point of intersection or connection. These devices are all referred to as nodes in a networked environment where every device is reachable. Depending on the kind of network it relates to, each node has a different definition.
Applying nodal analysis,
[tex]3+\frac{V1}{3} +\frac{V1}{3} +\frac{V1+2}{1} =0[/tex]
[tex]3+\frac{V1}{3} +\frac{V1}{3} +V1+2=0[/tex]
[tex]\frac{V1+V1+3V1}{3} =-5[/tex]
[tex]\frac{5V1}{3} =-5[/tex]
[tex]V1=-3V[/tex]
Applying again nodal analysis,
[tex]I1+\frac{V1}{3} +\frac{V1+2}{1} =0[/tex]
[tex]I1+\frac{-3}{3} +\frac{-3+2}{1} =0[/tex]
[tex]I1=2A[/tex]
To know more about the nodal analysis visit:
brainly.com/question/26099417
#SPJ1
17. Assertion (A): The internal resistance of a cell is constant. Reason (R): Ionic concentration of the electrolyte remains same during use of a cell.
Assertion (A): The internal resistance of a cell is constant. Reason (R): Ionic concentration of the electrolyte remains same during use of a cell.
Both Assertion (A) and Reason (R) are incorrect.
What is internal resistance?Internal Resistance refers to the opposition in the flow of current which is offered by the cell itself.
The internal resistance of a cell is not constant and can vary depending on many factors such as the age of the cell, the temperature, and the amount of current being drawn from the cell.
The internal resistance tends to increase, as the cell ages which can lead to a decrease in its performance.
In the same manner , the ionic concentration of the electrolyte in a cell can change during use due to the migration of ions between the electrodes and the electrolyte.
Learn more about internal resistance at:
https://brainly.com/question/30531136
#SPJ1
I need this tomorrow 50 points.
Answer: 849.15NM/S
Explanation: the power associated with forse F IS GIVEN BYP= F'.V' ,
WHERE V' IS THE VELOCITY OF THE PROJECT OF THE OBJECT ON WHICH THE FORCE ACTS . THUS,
P= F'.V. = COSФ
P = (135N) (7.4M/S)COS31° = 849.15NM/S
Cold water ~
has the highest density at what temperature.. ?
Answer:
The maximum density of water occurs at around 4° Celsius. The density of ice is less than liquid water, so it floats. Upon freezing, the ice density decreases by about 9%.
Explanation:
thanks for the question
A horizontal spring has spring constant k = 100 N/m. How much work is required to compress it from its uncompressed length (x = 0) to x = 10 cm?
Answer: 0.5J
Explanation:
We can use the formula for the potential energy stored in a spring:
U = (1/2) k x^2
where U is the potential energy, k is the spring constant, and x is the displacement from the equilibrium position.
Since we want to compress the spring, x will be negative, and we need to find the potential energy change between the uncompressed length and a compression of 10 cm:
U = (1/2) k (0.1 m)^2 - (1/2) k (0 m)^2
U = (1/2) (100 N/m) (0.1 m)^2 - (1/2) (100 N/m) (0 m)^2
U = 0.5 J
So the work required to compress the spring from its uncompressed length to x = 10 cm is 0.5 J.
The amount of work required by the spring to compress it from its uncompressed length (x = 0) to x = 10 cm is 0.5 J.
How do you calculate the work required by the spring?In order to compress a spring, the following formula must be used:
Work is equal to (1/2)*k*(xf² - xi²)
where:
xi = starting position = 0 m
xf = final position = 10 cm = 0.1 m k = spring constant = 100 N/m
By entering these values, we obtain:
W = (1/2) * 100 N/m * (0.1 m)² = 0.5 J
Hence, it takes 0.5 J of work to compress the spring from its uncompressed length to x = 10 cm (joules).
To learn more about work done by spring visit:
brainly.com/question/29392391
#SPJ1
4. Kepler-22b is an extrasolar planet orbiting within the habitable zone of the Sun-like star. It has a mass that is 36 times the mass of Earth and a radius that is 2.4 times that of Earth. What is the acceleration due to gravity on Kepler-22b?
answers:
a. 3g/100
b. g/33
c. 3g/10
d. 9g/20
The acceleration due to gravity on Kepler-22b would be 10.9 m/s^2.
Acceleration due to gravityThe acceleration due to gravity on a planet can be calculated using the formula:
g = GM/r^2
where G is the gravitational constant, M is the mass of the planet, r is the radius of the planet.
For Kepler-22b, we are given that its mass is 36 times that of Earth, so its mass is:
M = 36M_E
where M_E is the mass of Earth. We are also given that its radius is 2.4 times that of Earth, so its radius is:
r = 2.4R_E
where R_E is the radius of Earth.
Substituting these values into the formula for g, we get:
g = GM/r^2
g = G(36M_E)/(2.4R_E)^2
g = G(36M_E)/(5.76R_E^2)
g = (36/5.76)G(M_E/R_E^2)
g = 6.25G(M_E/R_E^2)
The value of g for Earth is approximately 9.81 m/s^2. Substituting this value for G, M_E, and R_E, we get:
g = 6.25(6.674×10^-11 N·m^2/kg^2)(5.97×10^24 kg)/(6.38×10^6 m)^2
g = 10.9 m/s^2
Therefore, the acceleration due to gravity on Kepler-22b is approximately 10.9 m/s^2.
So the answer is not one of the options given.
More on acceleration due to gravity can be found here: https://brainly.com/question/13860566
#SPJ1
How does understanding what occurs at the various tectonic plate boundaries support our understanding of the past and current movement of rocks at earth's surface?
Answer:
Understanding what occurs at the various tectonic plate boundaries supports our understanding of the past and current movement of rocks at Earth's surface because the movement of the plates is responsible for shaping the planet's surface features, such as mountain ranges, ocean basins, and volcanoes. Different types of plate boundaries produce different geological features and events. For example, convergent plate boundaries, where two plates move towards each other, result in subduction zones, where one plate is forced beneath another, and can cause volcanic activity and earthquakes. Divergent plate boundaries, where two plates move away from each other, can cause seafloor spreading, mid-ocean ridges, and rift valleys. Transform plate boundaries, where two plates move past each other, can cause earthquakes. By studying the processes and features associated with these plate boundaries, scientists can gain insight into how the Earth's surface has changed over time and how it continues to change today.
Explanation:
The brakes on a train do 350,000 J of work to stop the caboose when it enters the platform. If 70,000 N of force is applied to stop the vehicle, then how far does the caboose travel after the brakes are applied?
A.14 m
B.0.2
C.5 m
D.7 m
According to the question the caboose travels 7 m after the brakes are applied.
What is caboose?Caboose is a term used to describe the last car in a freight train. It is typically designed to house a crew of railroad personnel, such as a conductor, a flagman, and a brakeman. The purpose of the caboose is to provide a safe place for the crew to observe the train and to signal any errors or problems to the engineer. The caboose also serves as a living and working space for the crew, providing a bed, cooking facilities, and a desk. The signalman in the caboose communicates with the engineer by means of a lamp or radio. The caboose also serves as a weight to help slow the train when necessary.
The work done (350,000 J) is equal to the force applied (70,000 N) multiplied by the distance traveled (x). Therefore, x = 350,000 J / 70,000 N = 5 m. Since the caboose has to travel a distance of 7 m to come to a complete stop, the answer is D. 7 m.
To learn more about caboose
https://brainly.com/question/15417833
#SPJ1
Calculate the angular velocity of a 0.300m radius car tire when the car travels at 15.0m/s (54km/hr).
Answer: The angular velocity of a car tire is 1 rad/s.
Definition: Angular velocity is the speed at which the angle between two bodies changes when an object rotates or revolves around an axis. This displacement is depicted in the image by the angle formed by a line on one body and a line on the other.
The brakes on a car do 240,000 J of work to stop the tires from moving. The car travels 50 m after the brakes are applied. How much force are the brakes applying to stop the car from moving?
24,000 N
1.2 x 107 N
4,800 N
120,000 N
Answer:
Below
Explanation:
Work = force * distance
240 000 J = force * 50 m
240 000 / 50 = force = 4800 N
A cyclist enters a curve of 30 m radius at a speed of 12m/a. As the brakes are applied, speed is decreased at a constant rate of 0.5 m/s^2. What are the magnitude of the cyclists radial and tangential accelerations when his speed is 10 m/s?
Therefore, the magnitudes of the cyclist's radial and tangential accelerations when his speed is 10 m/s are [tex]48.1 m/s^2 and -0.5 m/s^2[/tex]
What is the initial radial acceleration of the cyclist entering a curve of 30 m radius at a speed of 12 m/s?
where v is the speed of the cyclist and r is the radius of curvature. At the beginning of the curve, v = 12 m/s and r = 30 m, so the initial radial acceleration is:
ar = [tex]12^2 / 30 = 4.8 m/s^2[/tex]
The tangential acceleratiοn οf the cyclist is given by:
at = -a
where a is the deceleratiοn due tο braking. In this case, [tex]a = 0.5 m/s^2[/tex], sο the tangential acceleratiοn is:
[tex]at = -0.5 m/s^2[/tex]
As the cyclist slοws dοwn, the speed at any time t is given by:
v = v0 - at * t
where v0 is the initial speed. We want tο find the radial and tangential acceleratiοns when the speed is 10 m/s, sο we need tο sοlve fοr the time t when v = 10 m/s:
10 = 12 - 0.5 * t
t = (12 - 10) / 0.5 = 4 s
Nοw we can use the time t tο calculate the radius οf curvature at the new speed:
[tex]r = v^2 / ar = 10^2 / 4.8 = 20.8 m[/tex]
The radial acceleratiοn at this speed is:
[tex]ar = v^2 / r = 10^2 / 20.8 = 48.1 m/s^2[/tex]
Therefοre, the magnitudes οf the cyclist's radial and tangential acceleratiοns when his speed is 10 m/s are 48.1 m/s^2 and -0.5 m/s^2, respectively.
To learn more about acceleration follow the given link: https://brainly.com/question/460763
#SPJ1
!!WILL MARK BRAINLIEST!! Please help
Answer:
17. A
18. C
Explanation:
np:) and have a wonderful day
HELPPP MEEEEE
HOMEWORK
Answer:i believe the answer is d: a motion force
Explanation:
A turntable must spin at 33.3 rev/min (3.49 rad/s) to play an old fashion vinyl record . How much torque must the motor deliver if the turntable is to reach its angular speed in 2.20 revolutions starting from rest ? The turntable is an uniform disk of diameter 30.5 cm and mass 0.240kg
The motor must deliver a torque of 0.00180 N·m to accelerate the turntable from rest to 3.49 rad/s in 2.20 revolutions.
Torque calculation.
We can use the rotational kinetic energy equation to find the torque required to accelerate the turntable from rest to a final angular velocity of 3.49 rad/s:
KE = (1/2) I ω^2
where KE is the kinetic energy, I is the moment of inertia of the turntable, and ω is the angular velocity.
The moment of inertia of a uniform disk is I = (1/2) m r^2, where m is the mass of the disk and r is its radius. Plugging in the given values, we get:
I = (1/2) (0.240 kg) (0.305 m/2)^2
I = 0.00216 kg·m^2
We know that the turntable must complete 2.20 revolutions to reach its final angular velocity, which is equivalent to 2π(2.20) = 13.8 radians. We can use the rotational kinematic equation to find the initial angular velocity of the turntable:
ω_f^2 = ω_i^2 + 2αθ
where ω_i is the initial angular velocity, ω_f is the final angular velocity, α is the angular acceleration, and θ is the angular displacement. We can rearrange this equation to solve for ω_i:
ω_i = √(ω_f^2 - 2αθ)
Plugging in the given values, we get:
ω_i = √[(3.49 rad/s)^2 - 2((3.49 rad/s) / (2.20 rev)) (2π(2.20 rev))]
ω_i = 0.565 rad/s
The torque required to accelerate the turntable from rest to 3.49 rad/s is given by:
τ = I α
where τ is the torque and α is the angular acceleration. We can use the rotational kinematic equation to find the angular acceleration:
ω_f = ω_i + αt
where t is the time it takes to reach the final angular velocity. Solving for t, we get:
t = (ω_f - ω_i) / α
Plugging in the given values, we get:
t = (3.49 rad/s - 0.565 rad/s) / ((3.49 rad/s) / (2.20 rev))
t = 3.46 s
Now we can use the equation for angular acceleration to find α:
α = (ω_f - ω_i) / t
Plugging in the given values, we get:
α = (3.49 rad/s - 0.565 rad/s) / 3.46 s
α = 0.832 rad/s^2
Finally, we can find the torque required to accelerate the turntable from rest to 3.49 rad/s:
τ = I α
τ = (0.00216 kg·m^2) (0.832 rad/s^2)
τ = 0.00180 N·m
Therefore, the motor must deliver a torque of 0.00180 N·m to accelerate the turntable from rest to 3.49 rad/s in 2.20 revolutions using rotational kinetic energy.
Learn more about torque below.
https://brainly.com/question/20691242
#SPJ1
Answer:
A turntable must spin at 33.3 rev/min (3.49 rad/s) to play an old fashion vinyl record . How much torque must the motor deliver if the turntable is to reach its angular speed in 2.20 revolutions starting from rest ? The turntable is an uniform disk of diameter 30.5 cm and mass 0.240kg
Explanation:
The moment of inertia of the disk can be calculated as:
I = (1/2) * m * r^2
where m is the mass of the disk and r is the radius (half of the diameter).
r = 0.305 / 2 = 0.1525 m
I = (1/2) * 0.240 kg * (0.1525 m)^2 = 0.00232 kg·m^2
We know the final angular speed of the disk (ωf) and the number of revolutions it takes to reach that speed (θ), and we can calculate the initial angular speed (ωi) as:
ωf^2 = ωi^2 + 2αθ
where α is the angular acceleration, which is related to the torque (τ) applied to the disk:
α = τ / I
Combining these equations, we get:
ωf^2 = ωi^2 + 2(τ / I)θ
τ = I(ωf^2 - ωi^2) / 2θ
We are given ωf = 3.49 rad/s and θ = 2.20 rev = 13.82 rad (since 1 rev = 2π rad). To find ωi, we can use the formula for the angular speed of a rotating object:
ω = v / r
where v is the linear speed of a point on the disk. For a disk rotating about its center, the linear speed varies with the distance from the center, but the average linear speed is half the linear speed at the rim:
v = (1/2)ωiR
where R is the radius of the disk (equal to half the diameter).
R = 0.305 / 2 = 0.1525 m
v = (1/2)ωi(0.1525 m)
ωi = 2v / R = ωfθ / (2π) = (3.49 rad/s)(13.82 rad) / (2π) = 7.25 rad/s
Now we can substitute the values into the formula for torque:
τ = (0.00232 kg·m^2)(3.49^2 - 7.25^2) / (2 * 13.82 rad) = -0.108 N·m
The negative sign indicates that the torque must be applied in the opposite direction to the initial motion of the disk, which makes sense because the disk is starting from rest and needs to accelerate in the positive direction.
Question 1 (1 point)
Nathaniel needs fewer calories than his dad even though they both exercise about
the same amount. What is the MOST likely reason for this difference?
activity level
age
gender
hunger
The most likely reason for Nathaniel needing fewer calories than his dad, even though they exercise about the same amount, is his age.
What is the reason for this difference?Age plays a significant role in determining person's daily calorie requirements. As people age, their body composition and metabolism change, and they tend to lose muscle mass and gain fat mass, which leads to decrease in their basal metabolic rate (BMR).
BMR is the amount of energy the body needs to carry out its essential functions while at rest. Therefore, even if Nathaniel and his dad have same activity level, Nathaniel's lower BMR due to his age would result in him needing fewer calories than his dad to maintain his weight. Other factors such as gender, activity level, and hunger may also contribute to differences in calorie requirements, but age is the most significant factor in this case.
To know more about exercise, refer
https://brainly.com/question/1365564
#SPJ1
The space station that you are controlling has a radius of 684 m.
You need to create a normal force for a 69.8 kg occupant of the ship that will match the normal force they would experience on a planet with a gravitational field strength of 6.4 N/kg.
You must determine the new rate of rotation for the ship (in rotations per hour) that will create this sensation for the occupants.
The new rate of rotation for the ship would be: 814 rotations/hour.
What is a space station?A space station is described as a spacecraft capable of supporting a human crew in orbit for an extended period of time.
The normal force experienced by an object is:
N = mg,
N = (69.8 kg)(6.4 N/kg) = 446.72 N.
The normal force experienced by an occupant :
N = mω^2r,
We then solve for ω,
ω^2 = N/mr
ω = √(N/mr)
ω = √((446.72 N)/(69.8 kg)(684 m))
ω = 0.127 radians/second
We then convert this to rotations per hour:
ω/(2π) rotations/second x 3600 seconds/hour = 814 rotations/hour
Learn more about space stations at: https://brainly.com/question/457589
#SPJ1
You have to
design a circuit that has an interface to the outside world made
up of 5 wires:
a. One wire connects to ground.
b. One wire connects to a single supply voltage, Vsupply. (See Design Constraints below).
c. One wire connects to a control signal. During testing, this signal is only allowed to have values 0 or +5V.
d. The remaining two wires v1 and v2 are what the switch is supposed to connect. If Vcontrol = 0V
then the switch should be closed and ideally v1=v2 . If Vcontrol = +5V then the switch is open
and ideally i1=i2=0 where i1 and i2 are the currents into each of the two wires v1 and v2 .
Design Constraints
1. You are limited to the use of a single dc power supply. Vsupply ≤ +5V .
2. You are allowed the use of MOSFETs, diodes, resistors, and capacitors that are available in your
component kits.
3. You have a single control voltage. The function of the control voltage is as described above for
each type of switch.
Answer:
the unit of m×g×h×10 is no 3
PLEASEEEE HELP MEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!(I will give a brainlist)
1. Tape one magnet to a smooth, flat surface. Place the other magnet on that surface 10 cm away, oriented so that its north pole is facing the south pole of the other magnet. Slowly push the free magnet toward the magnet that is taped down. What do you observe? (1 point)
2. Gently push the free magnet toward the taped magnet again. How far apart are they when the free magnet first starts to be pulled? Use the ruler to measure the distance between the magnets. (1 point)
3. Repeat Steps 1 and 2, but this time, position the magnets so that their north poles are facing each other. At what distance do the magnets begin to repel each other? (2 points)
4. Place the free magnet in each of the positions shown in the table below. For each position, describe what happens after you let go of the magnet. Draw a diagram that shows the final positions of both magnets. Make sure to label the north pole (N) and south pole (S) of each magnet. (12 points)
5. Cut four pieces of tape that are 15 cm long. Fold over one end of each piece of tape to make a tab that is about 2 cm long.
6. Stick one piece of tape to the top of a smooth, flat table. Using a marker, label the tab "B1." Rub the tape with the side of the marker to smooth out any air bubbles. Stick a second piece of tape on top of the first and smooth out the air bubbles again. Label the tab of this piece "T1."
7. Repeat Steps 5 and 6 with the remaining two pieces of tape, but label the bottom tab "B2" and the top tab "T2."
8. Use the tab to peel T1 off of B1. Stick it vertically to the edge of the table so that the tab is at the top and the tape hangs down below the table. Then peel B1 off the table. Hang it from the table edge in the same way. The two pieces of tape must be at least 10 cm away from each other and from the legs of the table.
9. Peel off T2. Hold it by the tab with the sticky side facing you.
10. With your other hand, hold a ruler perpendicular to the table edge, with the zero mark against the table next to the tape labeled T1. Hold the tab of T2 at the other end of the ruler. The diagram shows how to arrange the tape and the ruler. Slowly move T2 along the ruler toward T1. Watch for a change at the bottom end of each piece of tape. Measure the distance between the top ends of the pieces of tape when you first notice the change. What happened? Continue moving T2 closer to T1. What happened? Record the distance and your observations in the Electric Fields Data Table provided below Step 12. (4 points)
11. Repeat Step 10, this time moving T2 toward the hanging piece of tape labeled B1. (4 points)
12. If any of the pieces of tape are stuck together, carefully pull them apart. Discard the piece of tape labeled T2. Then repeat Steps 9 – 11 using the piece labeled B2 that is still stuck to the tabletop. (8 points)
1. What can you conclude about magnetic force based on your results in Steps 1 – 3? Use your data to support your conclusions. (4 points)
2. A magnetic field is the area around a magnet where its force can be felt. Magnetic fields are invisible. How did Part 1 of the Procedure and Data section provide evidence that magnetic fields exist? (4 points)
3. How could you change the design of the experiment to determine the size of the magnetic field around the magnet that was taped down? (2 points)
4. In Part 2 of the Procedure and Data section, how did the pieces of tape affect each other? Why did they attract, repel, or have no effect on each other? (4 points)
5. Like magnetic fields, electric fields are invisible. How did the experiment allow you to gather evidence that electric fields exist? (4 points)
Answer:
Explanation:
When the free magnet is pushed toward the magnet that is taped down, it will be attracted to it and will move towards it.
The distance between the magnets when the free magnet first starts to be pulled will depend on the strength of the magnets and the orientation of their poles. Use the ruler to measure the distance between the magnets when the free magnet starts to be pulled.
When the magnets are positioned so that their north poles are facing each other, they will begin to repel each other when they are brought close enough. Measure the distance at which the magnets begin to repel each other using the ruler.
The table below shows the positions of the free magnet and the magnet that is taped down, as well as a description of what happens when the free magnet is released.
Position Description Diagram
Position 1 The free magnet is placed directly above the magnet that is taped down. When released, the free magnet will stick to the taped down magnet with opposite poles attracting. N-S
Position 2 The free magnet is placed beside the taped down magnet with opposite poles facing each other. When released, the free magnet will move towards the taped down magnet and stick to it. N-S
Position 3 The free magnet is placed beside the taped down magnet with like poles facing each other. When released, the free magnet will move away from the taped down magnet due to repulsion. N-N or S-S
Position 4 The free magnet is placed directly beside the taped down magnet with like poles facing each other. When released, the free magnet will move away from the taped down magnet due to repulsion. N-N or S-S
5-12. Follow the steps to prepare and conduct the experiment using the pieces of tape.
a. Based on the observations in Steps 1-3, it can be concluded that magnetic force is present between two magnets with opposite poles attracting and like poles repelling each other. The strength of the force depends on the distance between the magnets and the orientation of their poles.
b. Part 1 of the Procedure and Data section provided evidence that magnetic fields exist because the magnets were able to exert a force on each other without direct contact. This suggests that there is an invisible force field surrounding the magnet that can interact with other magnetic objects.
c. To determine the size of the magnetic field around the magnet that is taped down, the experiment could be modified by placing the free magnet at different distances from the taped down magnet and measuring the strength of the force between them. This would allow for a better understanding of how the magnetic field changes with distance from the magnet.
d. In Part 2 of the Procedure and Data section, the pieces of tape affected each other due to the presence of electric fields. When the second piece of tape was brought close to the first, it caused a change in the electric field, which in turn caused a change in the behavior of the first piece of tape. Depending on the orientation of the electric fields, the pieces of tape could attract, repel, or have no effect on each other.
e. The experiment allowed evidence to be gathered that electric fields exist by observing the behavior of the pieces of tape when they were brought close to each other. The presence of a change in the behavior of the tape when the electric fields were affected suggests that there is an invisible force field surrounding the tape that can interact with other electrically charged objects.
The experiment demonstrates the principles of magnetism and electrostatics. By moving magnets or charged objects closer or further apart, the extent of the respective fields can be measured.
Explanation:This experiment demonstrates the invisible forces of magnetism and electrostatics. In steps 1 to 3, the magnets attract each other when their opposite poles (north and south) face each other, and they repel when similar poles (north and north, or south and south) face each other. This distance at which attraction or repulsion starts represents the extent of the magnetic field. In steps 4 to 12, the experiment uses tape to illustrate electrostatic forces. When tape is peeled from a surface, it becomes statically charged. Two pieces of tape that have the same charge will repel each other while different charges attract. The distance at which this occurs represents the extent of the electric field. To measure the size of a magnetic field, you could use a device called a magnetometer or you could move a magnet towards a stationary magnet and measure the distance at which the moving magnet begins to move. These procedures provide evidence of the existence of invisible magnetic fields and electric fields.
Learn more about Magnetism and Electrostatics here:https://brainly.com/question/35879848
#SPJ2
A key challenge with renewable energy is that the energy must be transported to the place where it's needed _ or devices that store the energy needed improvement.
A. batteries
B. refineries
C. solar panels
D. wind turbines
A. batteries
Renewable energy sources like solar and wind power are often located in remote areas, far from where the energy is needed. This means that the energy must be transported over long distances to reach the end user, which can result in energy losses due to resistance in transmission lines. To address this issue, energy storage devices like batteries are needed to store excess energy generated by renewable sources during periods of low demand, and then release it when demand is high. However, current battery technology still needs improvement in terms of capacity, efficiency, and cost to make it more widely accessible and practical for large-scale renewable energy storage.