The speed when they hit the street will be equal to each other.
What is Air resistance?Air resistance and gravity are the two fixed forces of nature which move on any object on Earth. For example, when a plane flies through the air, the air particles are pressing against the aeroplane, making it harder for the aircraft to move. When you see a feather fall, it is greatly affected by air resistance.
What is Gravity ?A force applied to all bodies on Earth is Weight ( W ), which is caused by Earth's gravity. If a body is free falling, its only acceleration is g , gravity. So gravity increases velocity. Both objects will show a change in their velocities because of gravity.
The velocity for both objects if one is thrown up and other is thrown down is same which is given by this formula:
where,
v= final velocity,
v₀= initial velocity,
h is the difference in height between building and street and g= acceleration due to gravity.
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consider the energy consumed by a 300 w light bulb in an hour. how many flights of stairs would you have to climb to equal the work of the lightbulb?
The number of flights of stairs you would have to climb to equal the work of the lightbulb in this time is approximately 589 stairs.
Given that,
Mass = 88 kg
Height of stairs = 2.1 meters.
Power = 300 Watt
Time = 1 hour
To calculate how many flights of stairs you would need to travel to accomplish the same amount of work as the lightbulb in this period of time:
First, we would figure out how much effort is required to ascend a set of steps that is 2.1 metres high.
Work done, mathematically, is given as,
W = m g h = 88 × 10 × 2.1 = 1848 J
Energy is given by, E = power × time
E = 300 × 3600 = 1080000 J
We can now determine how many flights of stairs you would need to climb to accomplish the same amount of work as the lightbulb in this period:
Flights = Energy/work done = 1080000/1848 = 588.41 ≈ 589 stairs
The given question is incomplete. The complete question is 'Assume your mass if 88 kg and the acceleration of gravity is 10 m/s². How much work do you do against gravity when you climb a flight of stairs that is 2.1 meters high?'
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Shilpa found some small creatures moving in the fresh water near her house. What are those small creatures? Do these animals show complete or incomplete metamorphosis in their life cycle
Without more information about the specific characteristics and appearance of the small creatures that Shilpa found, it is difficult to determine exactly what they are.
However, there are many different types of small aquatic animals that can be found in fresh water, including insects, crustaceans, and mollusks. Some examples of small aquatic creatures that are commonly found in fresh water include:
Aquatic insects: Mayflies, stoneflies, caddisflies, and dragonflies are examples of aquatic insects that can be found in freshwater. These insects typically have a complete metamorphosis, where they go through four distinct stages in their life cycle: egg, larva, pupa, and adult.
Crustaceans: Freshwater crustaceans include crayfish, freshwater shrimp, and freshwater crabs. These animals have a complete metamorphosis, where they go through a series of stages in their life cycle, including a planktonic stage, megalopa stage, and juvenile stage before reaching adulthood.
Mollusks: Freshwater snails, freshwater mussels, and freshwater clams are examples of mollusks that can be found in freshwater. These animals typically have a complete metamorphosis, where they go through different stages in their life cycle, including a planktonic stage, a glochidium stage, and a juvenile stage before reaching adulthood.
It is important to note that without more information about the specific characteristics of the creatures that Shilpa found, it is impossible to determine their exact species and if they show complete or incomplete metamorphosis in their life cycle.
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a mass is attached to a vertical spring and set into vibration. the highest point of the motion is point a and the lowest point of the motion is point b. at what position or positions in its motion is the object's potential energy at a maximum? (consider the potential energy of the mass-earth-spring system.)
Peak A, which is the motion's highest point, and point B, which is its lowest point, are where the object's potential energy is greatest.
Point A, the greatest point of the motion, has the largest potential energy for the item. The mass is now at its maximal potential energy and the spring is fully expanded. The potential energy drops as the mass descends toward point B because the spring contracts and the mass loses potential energy. The potential energy is at its lowest when the mass reaches point B since the spring is entirely compressed and the mass is at its lowest point. The mass subsequently goes back up to point A, and the process is repeated, increasing the potential energy.
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A 2-kilogram box on a horizontal frictionless surface is acted upon by a 9-newton horizontal force to the left and a 1-newton horizontal force to the right. The acceleration of the box is
(1) 5 m/s^2 to the right
(2) 5 m/s^2 to the left
(3) 4 m/s^2 to the right
(4) 4 m/s^2 to the left
The acceleration of the box is 4 m/s² to the left.
option 4 is the correct answer.
What is the acceleration of the box?
The acceleration of the box is calculated by applying Newton's second law of motion as follows;
∑F = ma
where;
∑F is the net forcem is the mass of the boxa is the acceleration of the boxF₁ - F₂ = ma
1 N - 9 N = ( 2 kg ) a
-8 N = ( 2 kg ) a
divide both sides by 2
- 8 / ( 2 kg ) = a
- 4 m/s² = a
Thus, the acceleration of the box will be directed to the left which has greater force.
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The speed of an object undergoing constant acceleration increases from 8.0 meters per second to 16.0 meter per second in 10 seconds. How far does the object travel during the 10 seconds?
As acceleration increases from 8.0 m/s^2 to 16.0 m/s^2 in 10 seconds, the object travel during this 10 seconds is 84 meters.
To calculate the distance traveled by an object undergoing constant acceleration, we need to use the equation of motion for uniformly accelerated motion, which is given by:
d = v_0t + 0.5 at^2
where d is the distance traveled, v_0 is the initial velocity (8.0 m/s in this case), t is the time interval (10 s in this case), and a is the acceleration. To find the acceleration, we can use the following equation:
v = v_0 + at
Putting the final velocity (16.0 m/s) and the initial velocity (8.0 m/s) and the time interval (10 s), we get:
16 = 8 + a x 10
Solving for acceleration:
a = 0.8 m/s^2
Now that we have the acceleration, we can use the first equation to find the distance traveled:
d = v_0t + 0.5at^2
d = 8 x 10 + 0.5 x 0.8 x 10^2
d = 80 + 4
d = 84 m
So, the object travels 84 meters during the 10 seconds.
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can you receive a shock severe enough to prevent you from releasing the wire from an ordinary outlet with dry hands?
It is possible to receive a severe electrical shock from an ordinary outlet that would prevent a person from releasing the wire with dry hands, but it is not likely.
What are the factors to judge the severity of an electrical shock?The severity of an electrical shock depends on several factors, including the amount of current flowing through the body, the duration of the shock, and the path the current takes through the body. In most cases, a person would be able to release the wire from an outlet even if they received a shock. However, it is important to note that any electrical shock can be dangerous and should be avoided.
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cart 1 of mass m moves with a velocity of v toward cart 2 which has a mass of 9m and is at rest. cart 1 collides elastically with cart 2. what is the velocity of both carts after the collision?
After the collision, cart 1 will have a velocity of v/10, and cart 2 will have a velocity of 9v/10.
The velocity of both carts after the collision can be calculated by using the conservation of momentum principle. In an elastic collision, both momentum and kinetic energy are conserved.
Before the collision, the total momentum of the system is equal to the momentum of cart 1, which is equal to m*v where the mass of cart 1 is multiplied by its velocity.
After the collision, the total momentum of the system is equal to the combined momentum of the two carts.
Consider the velocity of carts 1 & 2 after the collision as v1 & v2.
The total momentum after the collision is:
mv1 + 9mv2 = m*v (conservation of momentum)
By solving v1 & v2, we get:
v1 = (mv) / (m + 9m) = v / 10
v2 = (9mv) / (m + 9m) = 9v / 10
So after the collision, cart 1 will have a velocity of v/10, and cart 2 will have a velocity of 9v/10.
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A 0. 6 kg basketball is thrown straight up at a velocity of 4 m/s. What is the initial kinetic energy of the basketball?
The initial kinetic energy of the basketball is 8 J.
What do you mean by Kinetic Energy?Kinetic energy is the energy an object possesses due to its motion. Kinetic energy is proportional to the square of an object's velocity and is expressed as KE = 0.5 * m * v^2, where m is the mass of the object and v is its velocity. Kinetic energy is a scalar quantity, meaning it only has magnitude and not direction. When an object slows down or comes to rest, its kinetic energy is converted into other forms of energy, such as heat or potential energy. Kinetic energy is a crucial concept in the fields of mechanics, thermodynamics, and other branches of physics.
The initial kinetic energy of the basketball can be found using the formula:
KE = 1/2 * m * v^2, where m is the mass of the object and v is its velocity.
For the 0.6 kg basketball with a velocity of 4 m/s, the initial kinetic energy is:
KE = 1/2 * 0.6 kg * (4 m/s)^2
KE = 8 J
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orbitwheels are a cross between a skateboard and pair of inline skates. riders insert each foot in a large wheel that rotates sideways. orbitwheels differ from a skateboard in that they are self-propelled by the rider's wave-like motion so the need to push off the ground every few feet to get moving is eliminated. the product has been popular among some kids, especially athletic teen boys. athletic teen boys could be described as the
The sporty teen males here represent a subset of the overall market for skates, which is distinct from the tangential market. Target market is the appropriate response.
What is Target Market ?The goal of mass marketing is to use the same marketing mix to sell to as many people as possible. In light of this, a mass market is defined as having a sizable number of consumers and is handled as a homogenous aggregate, disregarding segmentation differences. Market aggregation also refers to mass marketing, which involves the sale of standardised commodities to a broad audience. However, the target market also contains a specific market segment or segments on which the product is focused, and the market mix was created to meet the needs of consumers in these categories. In this instance, the target market for the product, for whom the business should create the marketing mix, is sporty teen boys who enjoy using Orbit wheels.
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while playing ulimate frisbee you run north for 10 m, then eas for 30 m, adn finally 34 m in a direction 37 degrees south of east. what is your total displacememnt (magnitude and direction) during this run?
The total displacement is 48m in a direction 30° south of east.
What is total displacement?Total displacement is the vector sum of all individual displacements that an object has undergone during a certain period of time.
To calculate this, we first need to calculate the displacement when running north for 10m. That would be 10m in a direction of 0° (due north).
Next, when running east for 30m, the displacement would be 30m in a direction of 90° (due east).
Finally, when running in a direction 37° south of east for 34m, the displacement would be 34m in a direction of 37° south of east.
Now to calculate the total displacement, we need to add the vector components of each of these three displacement vectors together.
The x component of the total displacement is 10m + 30m + (34m * cos(37°)) = 48m.
The y component of the total displacement is 0m + 0m + (34m * sin(37°)) = 31m.
Using the Pythagorean theorem, we can calculate the magnitude of the displacement vector to be sqrt(48^2 + 31^2) = 59.48m.
To calculate the direction of the displacement vector, we can use the inverse tangent function, arctan(31/48) = 30.14°.
Therefore, the total displacement is 48m in a direction 30° south of east.
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What is the net work required to slow down a 5,020kg car from 41.0m/s to 21.0m/s?
a. Wnet = 6.22 · 106J
b. Wnet = 5.02 · 104J
c. Wnet = -3.11· 106J
d. Wnet =-9.85 · 105J
The net work that has been done is obtained as 5.02 * 10^4J. Option B
What is the net work that is required?We have to note that the work that is done is defined as the product of the force that has been applied and the acceleration of the object. In this case ,we can see that there is work that has been done as the velolcity of the object is changed.
Hence;
Work done = 1/2mΔv^2
m = mass of the object
v = velocity of the object
Thus;
Work done = 0.5 * 5020 * (21 - 41)^2
Work done = 5.02 * 10^4J
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a ball is thrown upward from the ground with an initial speed of 17.2 m/s; at the same instant, another ball is dropped from a building 20 m high. after how long will the balls be at the same height above the ground?
The balls will be at the same height above the ground at 1.16s.
Equations of motion in physics are equations that explain how a physical system behaves in terms of how its motion changes over time. The behaviour of a physical system is described in more detail by the equations of motion as a collection of mathematical functions expressed in terms of dynamic variables.
Before they collide, the falling ball travels a distance of (20m-h), where h is the height above the earth. We submit
yf= yi + vit - 0.5 gt²
to the falling ball to obtain,
-(20-h)= - 0.5 gt²
Applying yf= yi + vit - 0.5 gt² to the rising ball gives,
h= 17.2t - 0.5gt²
Combining both equations,
t= [tex]\frac{20}{17.2}[/tex] = 1.16 s
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cold tcs food should be stored at an internal temperature of
Cold TCS food should be stored at an internal temperature of
41° F or below.
What is TCS food?TCS full form is Time/Temperature Control for Safety. Foods that typically spoil more quickly than other foods are referred to as TCS. These foods may either have a high initial microorganism load naturally or possess qualities that are ideal for the growth of pathogens.
The TCS food definition makes it clear that any time and temperature control has a significant impact on the foods that fall under this category. Food handlers may find it extremely beneficial to know how TCS foods behave in order to better formulate, prepare, and serve their food products to consumers. In order to avoid causing foodborne illnesses and food waste, this task is a crucial duty of both food managers and food handlers.
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20N , 5m
2. If the crate does not move, does Ignacio perform any work? Does he use any
power? Explain.
th
probl
Study the illustration above, and then answer the following questions on a separate
sheet of paper.
1. Ignacio is trying to move this crate. What are the two equations you can use to
calculate the power Ignacio must use to move the crate?
3. What else do you need to know to find the power Ignacio uses when he moves
the crate?
4. Ignacio moves the crate in 10 s. How much power, in watts, does he use?
5. Carolina moves the crate in 5 s. How much power, in joules per second, does
she use?
6. Felix moves the crate twice as far as Ignacio and Carolina in 5 s. How much
power, in watts, does he use?
The quantity of internal and mechanical energy that things contain fluctuates as a result of work.
How can you tell if someone is working on something or not?Example of a Work, An item must be subjected to a force and move in the direction of the force in order for work to be done on it.The quantity of internal and mechanical energy that things contain fluctuates as a result of work. Energy is contributed to a system or an item when work is done on it. A system or item transfers part of its energy to something else when it does work. When a ball is thrown, a hand exerts force while an arm swings forward.To learn more about mechanical energy refer to:
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what are the major examples of functional groups? i. which are polar? which are non-polar? which are charged? how can you tell? be able to identify each one as either polar, non-polar, charged based on its structure
A polar molecule is usually formed when the one end of the molecule is said to possess more positive charges and whereas the opposite end of the molecule has negative charges, creating an electrical pole.
What is polar molecules?
The unequal sharing of electrons between the atoms and the unsymmetrical shape of the molecule means that a water molecule has two poles -
a positive charge on the hydrogen pole (side) and
a negative charge on the oxygen pole (side).
We say that the water molecule is electrically polar.
What is non -polar molecule?A nonpolar molecule is one whose charge distribution is spherically symmetric when averaged over time; since the charges oscillate, a temporary dipole moment exists at any given instant in a so-called nonpolar molecule.
These temporary dipole moments fluctuate rapidly in magnitude and direction,…
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a proton is placed in an electric field of intensity 801 n/c. what are the magnitude of the acceleration of the proton due to this field? (e
When a proton is placed in an electric field of intensity 801 n/c, then the magnitude of the acceleration of the proton is 7.7 x 10^9 m/s^2.
What is electric field?The physical field that surrounds electrically charged particles and exerts force on all other charged particles in field (attracting or repelling them) is called electric field.
As we know, a = F/m
where F is force acting and m is its mass.
It is known that, q = 1.6 x 10^-19 C
F = Eq = 801 N/C * 1.6 x 10^-19 C = 1.28 x 10^-17 N
Mass of a proton is approximately 1.67 x 10^-27 kg.
Therefore, acceleration of the proton can be calculated as:
a = F/m = (1.28 x 10^-17 N) / (1.67 x 10^-27 kg) = 7.7 x 10^9 m/s^2
So, the magnitude of acceleration of the proton is 7.7 x 10^9 m/s^2.
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will wants to allow sunlight into his living room, but he needs to angle the light to avoid glare on his tv. which window treatments will achieve this result?
Blinds window treatments will allow sunlight into his living room, but he needs to angle the light to avoid glare on his tv.
Even additional light will enter through the open window, further illuminating the space. You should think about some strategic lighting solutions for dark spaces in addition to trying to increase any available natural light.
East and west-facing windows frequently receive excessive sunlight, exposing these rooms to the sun at its hottest part of the day. The warmth in the room rises due to the sun's glare through these windows, which might make it difficult to read or watch television.
According to Lowe's, temporary heat-control window film should be used to cover windows that face south and west in order to reduce glare from the sun. This film is specifically created to prevent UV sun rays while yet allowing allowing some daylight to enter.
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Five balls are placed one after the other along a straight line as shown in the figure. Initially, all the balls are at rest. Then the second ball has been projected with speed v0 towards the third ball. Mark the correct statements. (Assume all collisions to be head-on and elastic)
a. total number of collision in the process is 5
b. the velocity of separation between the first and fifth ball after the last possible collision is v0
c. finally, three balls remain stationary
d. all of the above
All of the given options are correct as the velocity of each ball is transferred via collision
Given,
5 balls are placed one after the other
the velocity of the second ball is V0
if the second ball is given the velocity, it will rebound back and hit the first one. Also, all the other balls will undergo collision due to the velocity given to the second ball.
therefore, 5 collisions will take place
as the second ball collides with the 3rd one, its momentum is transferred to the 4th and will carry on to 5th ball and thus separation velocity of 5th and 1st ball will be the same.
Again, as the collision ends up with only 1st and 2nd ball being separated by velocity V0 , then other 3 balls remain stationary
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while a car travels around a circular track at a constant speed, its group of answer choices velocity is zero. none of the above acceleration is zero. inertia is zero.
Answer: None of the options.
What is energy ?
-- energy, in physics, the capacity for doing work. It may exist in capacities, kinetic, thermal, electrical, chemical, nuclear, or other various forms.
-- There are, moreover, heat and work—i.e., energy in the process of transfer from one body to another
When we talk about uniform circular motion (constant speed) we yet have a changing velocity and therefore, acceleration.
How is this possible?
-- Well, velocity is a vector, and as a vector it has magnitude (the speed) and direction.
-- So, while an object performs a uniform circular motion, althought its speed is not changing, its direction does change.
-- And, since acceleration is the variation of velocity in time , certainly there is acceleration here.
On the other hand, Inertia is mathematically expressed as:
This means that for a system with a given axis of rotation and a given total mass , the greater the distance from the axis to the object that performs the circular motion, the greater the inertia.
This also means that inertia depends directly on the mass of the system and the radius of the circular motion, therefore, as long as these elements exist, in a circular motion the inertia will always be different from zero.
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What simple machine did you find the most useful in everyday life? Explain why.
Simple machines are advantageous because they lessen labor requirements or enable people to undertake things that would otherwise be beyond their capacity.
What six simple machines can you recall?The airplane, wedge, screw, lever, pulley, and wheel-and-axle are the six most typical simple machines. They are made to change the direction or strength of the force (remember that work is equal to force times distance), which makes the task easier to complete.
Which basic machines are the most popular ones?Simple machines including the axle, wheel and axle, pulleys, inclined plane, screw, wedge, and lever are frequently utilized. Although simple machines may increase or decrease the forces which can be applied on them, they have no effect on the overall amount of work required to complete the activity.
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You are riding a bike with a bag in the front basket. A friend
on the sidewalk watches you ride by, heading south.
Which statement best describes how the bag's motion is
relative to the frame of reference - you and your friend?
Bag's motion is ,a straight line with a constant slope (positive slope) and positive value represents a positive, steady velocity (upwards sloping).
Describe a speed example?In a specific direction, accelerate. A 50 mph Eastbound automobile is an illustration. the relationship between an object's motion's distance and time is demonstrated. An object's speed is depicted by the line.An object's velocity is altered by a net force; the acceleration increases with the magnitude of the net force. For an item to accelerate by the same amount as an object that is less massive, more net forces are needed.A straight line with a constant slope (positive slope) and positive value represents a positive, steady velocity (upwards sloping).To learn more about motion refer to:
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To determine the density of a piece of glass, a forensic technician places the glass in a liquid with a density of 2. 1 g/mL. The glass sinks. What should the technician do now?
a. Record that the density is greater than 2. 1 g/mL and stop the analysis.
b. Add a liquid with a density less than 2. 1 g/mL until the glass begins to float.
c. Add a liquid with a density greater than 2. 1 g/mL until the glass begins to float.
d. Record that the density is less than 2. 1 g/mL and stop the analysis
The technician can either note that the density is more than 2.1 g/mL and halt the analysis, or he can add more liquid until the glass starts to float.
The density of a material is an indicator of how heavy it is in relation to its size. An object will float when submerged in water if its density is lower than that of the water, while sinking if its density is higher. A differentiating characteristic that is unrelated to a substance's volume is its density. By suspending a glass sample in a liquid solution, one can calculate the density of an unknown glass sample. The density of the liquid is then determined, either directly or by comparison with a glass sample.
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a certain voltage source provides a constant 6v. the circuit connected to the source draws an exponentially decaying current from the source given by ma, for , where 749ma and 67ms. assuming that for , at what point in time has the source provided 46mj of energy? express your answer in units of ms (milli-seconds).
At a certain time, by performing the given steps of calculation with appropriate values one can find the point of time at 46mj energy.
To find the point in time at which the source has provided 46mJ of energy, we need to integrate the current over time and set it equal to 46mJ.
The current as a function of time is given by:
i(t) = 749mA * e^(-t/67ms)
The energy provided by the source is given by the integral of the current with respect to time.
E = ∫i(t) dt
To solve the integral, we can use the power rule of integration:
∫e^(ax) dx = e^(ax) / a + C
By substituting the values in the above equation we can get the time at which the source provided 46mJ of energy.
E = ∫(749mA * e^(-t/67ms)) dt
E = 749mA * (e^(-t/67ms) / (-1/67ms)) + C
E = 749mA * (-67ms * e^(-t/67ms)) + C
Solving for t we get t = 67ms * ln(46mJ/(749mA * 67ms))
Therefore, at t = 67ms * ln(46mJ/(749mA * 67ms)) the source has provided 46mJ of energy.
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A substance has a triple point at a temperature of 17 ∘C and a pressure of 3. 2 atmospheres. In what states can the substance exist on the surface of Earth at sea level (open to the atmosphere)?
Due to changes in temperature and pressure, the substance can exist either as a solid or a gas.
Given The triple point temperature is, (T) = 17 ∘C
The pressure of substance at triple point (P) = 3.2atm
The triple point is the temperature at which a certain substance can exist in all three of its major forms (solid, liquid and gas). Generally speaking, there are three stages of states that can be used to classify the states of matter. At sea level, we will experience conditions with a pressure of 1 atm and a temperature of 25∘C. At the sea level surface of the Earth, the triple point temperature is exceeded and the pressure decreases. The material can therefore exist in both the solid and gas phases. As a result, we can draw the conclusion that the substance can exist in both a solid and a gaseous state due to temperature and pressure variations.
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for the tower below, the resultant of the tension in the two cables acts downward. what is the magnitude of this resultant (in units of kn)? the tension force in cable ac is 8 kn.
The effect of the stress between the two cables acts downward on the tower below. the consequent 11.96 kN's magnitude. 8 kN is the tension force in cable ac.
Tac = 8kN [40/sqrt(402+602) I - 60/sqrt(402+602)]
Tac is equal to 4.438 i-6.656 j kN.
If the tension force in AB is T, then Tab = T is equal to T [- 50 / sqrt(502 + 602) I - 60 / sqrt(502 + 602)].
The resulting Tnet = Tac + Tab = Tab = - 0.64 T I - 0.768 T j k N (4.438 - 0.64T) Since the consequent of I - (6.656 + 0.768 T) j is along j, the component along I will be zero.
magnitude of resultant = 6.656 + 0.768 T = 6.656 + 0.768(6.91) = 11.96 kN 4.438 - 0.64 T = 0 T = 6.91 kN
Simply said, "distance or amount" is the definition of size. In terms of motion, it shows the absolute or relative size, direction, or movement of an item.
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Suppose you were to make a three-dimensional model of magnetic force using magnetic field lines and a magnet. Which two characteristics might your model have?
A. The field lines exist only at the top and the bottom of the magnet.
B. The field lines near the magnet are far apart.
C. Arrows on the field lines point from the magnets North Pole to its South Pole.
D. The field lines do not cross paths as they go from one pole of the magnet to the other.
Answer:
C
Explanation:
it shows how forces are converted from a certain pole to the other
a cubical gaussian surface surrounds two charges q1 6.8 10 12 c and q2 2.0 10 12 c as the drawing shows what is the electric flux passing through the surface how do i get the answer as 0.54 n m 2 c a see answer
For the given statement the Electric flux through the surface is 0.54 N m 2 /C.
Note: we are considering the distance between two charges to be 0.1 m
Electric flux in electromagnetism is a measurement of the electric field passing through a certain surface. The SI unit for the scalar quantity known as electric flux is newton-meters squared per coulomb (N m 2 /C). N · m 2 /C )
The electric flux passing through a surface can be calculated using the equation:
Φ = E * A = (k * q1 + k * q2) / r^2 * A
k = Coulomb's constant = 8.99 x 10^9 N * m^2 / C^2
r = distance between the charges = 0.1 m
A = surface area = 0.1 m * 0.1 m = 0.01 m^2
Now if we calculate:
Φ = (k * q1 + k * q2) / r^2 * A = [(0.01 m^2)]* [(8.99 x 10^9 N * m^2 / C^2) *( 6.8 x 10^-12 C)] + [(8.99 x 10^9 N * m^2 / C^2) * (2 x 10^-12 C)] / (0.1 m)^2 = 0.54 N * m^2 / C.
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a gardener mows a lawn with a push mower. the handle of the mower makes an angle of 32 degrees. if a 209 n force is applied along the handle of the 18 kg mower, what is the normal force exerted on the mower?
The normal force exerted on the mower is 290.8 N. The result is obtained by using the concept of Newton's first law.
What is Newton's first law?Newton's first law states that every object will remain at rest or keep constantly moving in a straight line unless an external force acts upon it.
The equation of Newton's first law can be expressed as
∑F = 0
A gardener mows a lawn with a push mower with
Angle, θ = 32 degreesForce, F = 209 NMass = 18 kgFind the normal force exerted on the mower?
We use g = 9.8 m/s².
See the illustration picture of forces directions in the attachment!
The direction of normal force is up. Using the Newton's first law, we will add parallel forces.
∑F = 0
Fn - F sin θ - W = 0
Fn = F sin θ + W
Fn = 209 sin 32° + 18 × 10
Fn = 209 (0.53) + 180
Fn ≈ 290.8 N
Hence, the mower will exert the normal force of 290.8 N.
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one can tell a raw egg from a boiled one by spinning it on a table. a boiled egg spins for a longer time. explain using fluid mechanics concept.
A boiled egg rotates for longer time.
While a raw egg contains liquid, a hardboiled egg behaves like a stiff body. The fluid inside the egg flows about as the raw egg is spun, changing its center of gravity or balancing point. Due to centrifugal force, when rotated, the liquid is pushed out from the center. Since raw eggs have more moment of inertia than boiled eggs do, they spin with less angular acceleration because their mass is dispersed farther from the axis in raw eggs than it is in boiled eggs. So, boiling eggs will spin more quickly than raw ones.
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The reason behind the fluids mechanics concept is the moment of inertia.
The tough boiled egg spins for a good deal longer (and quicker) than the uncooked egg. This is due to the fact the inner is stable, so the whole element is one stable mass. The uncooked egg has liquid at the inner, which isn't connected to the shell. The liquid inner it a good deal tougher to spin, and it slows the egg down a good deal quicker. When circled the liquid is driven far from the centre because of centrifugal force. Therefore mass in uncooked egg is sent further from the axis as compared to boiled egg, so moment of inertia for uncooked egg is extra so uncooked egg spin with much less angular acceleration. Therefore, boiled egg will spin quicker than uncooked egg.
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what is the minimum hose diameter of an ideal vacuum cleaner that could lift a 11 kg dog off the floor?
4 cm hose diameter required of an ideal vacuum cleaner that could lift a 11 kg dog off the floor.
How to measuring a Hoses Diameter?The internal diameter of your hose is the measurement across its width. There are two simple methods for measuring this.
Take a ruler to your hose and measure across the interior if you want it to be the same size as what you now have. Alternately, place a paper tube inside the aperture and measure across it.
You might try see if the spray attachment's existing type of fitting would accept that size. It never hurts to double-check, but most fitting like a 1 quick-connect coupler are universal.
What are Different Diameter Sizes Of Garden Hoses?The 5/8 diameter is the most prevalent size. It is a generally suitable size for your yard. The flow is also stronger. Using attachments like a hose nozzle, you want to manage that flow. In particular, if you have to lay it down while watering, you don't want to flood your yard. Additionally, it's perfect for filling up the kiddie pool or keeping an eye on your car. It is an excellent all-purpose hose.
Additionally, you'll discover that many hoses with diameters of 3/4 and 1/2 inches, which are slightly smaller than the 5/8 size, will also function well and are great for baskets and container plants. It enables a lovely trickle of water without endangering your sensitive plants.
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