The body will be at a temperature of 60°F after around 72 minutes.
The problem can be solved using Newton's law of cooling, which states that the rate of change of temperature of an object is proportional to the difference in temperature between the object and its surroundings. Mathematically, this can be represented as:
T(t) = T_s + (T₀ - T_s) e^(-kt)
where T(t) is the temperature of the object after time t, T₀ is the initial temperature of the object, T_s is the temperature of the surroundings, t is time and k is a constant of proportionality called the cooling coefficient.
Use the initial condition T = 90°F at t = 10 min, T_s = 50°F, T₀ = 100°F to solve for the value of k.
T(t) = T_s + (T₀ - T_s) e^(-kt)
90°F = 50°F + (100°F - 50°F) e^(-k)(10)
40°F = 50°F e^(-k)(10)
e^-10k = 0.8
k = 0.0223
thus we can calculate the time it takes for the body to reach a temperature of 60°F:
T(t) = T_s + (T₀ - T_s) e^(-kt)
60°F = 50°F + (100°F - 50°F) e^(-0.0223)(t)
10°F = 50°F e^(-0.0223)(t)
e^(-0.0223)(t) = 0.2
t = 72.1721
t ≅ 72 minutes
Therefore, it would take around 72 minutes for the body to reach a temperature of 60*F.
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a point charge with charge 0.00874 c is located at coordinate (0, 0). what is the y component of the electric field in n/c produced by this charge at coordinate (-9.88, 6.11)? the coordinates are given in meters.
The y component of the electric field is -5.17e-4 N/C.
What is electric field?Electric field is a physical quantity that is used to describe the force exerted on a charged particle by an electric field. It is a vector quantity that can be measured in newtons per coulomb (N/C). Electric field is created by a stationary charge, which can be either a positive or negative charge.
The electric field at any given point is determined by Coulomb's Law. The formula for Coulomb's law is
E = k * (q1 * q2) / r^2
where k is the Coulomb constant, q1 and q2 are the two charges, and r is the distance between them.
In this case, q1 is the point charge and q2 is a test charge at the given coordinates. The distance between them is given by the Pythagorean theorem: r = sqrt((-9.88)^2 + (6.11)^2) = 10.90 m.
Plugging all of this into the formula, we get
E = 9e9 * (0.00874 * 1) / (10.90)^2 = 8.05e-4 N/C
The electric field is a vector, so we must also calculate the direction. The electric field points away from the point charge, so we can use the direction of the vector from the point charge to the test charge to determine the direction of the electric field. The direction is determined by arctan(6.11/-9.88) = -0.6358 radians.
Thus, the electric field vector can be written as (8.05e-4 * cos(-0.6358), 8.05e-4 * sin(-0.6358)) = (-7.46e-4, -5.17e-4) N/C.
The y component of the electric field is -5.17e-4 N/C.
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true or false: the first law of thermodynamics states firmly that energy is a thermodynamic property.
The given statement 'The first law of thermodynamics states firmly that energy is a thermodynamic property' is a true statement because conservation of energy takes place.
Just like mass, energy is always conserved i.e, it can only be changed from one form to another; it cannot be created or destroyed. The term internal energy refers to the kinetic and potential energy that is associated with the system's molecules and is defined as a thermodynamic feature of the system.
Numerous energy transfers and conversions occur after any change in a system caused by the interaction of heat, work, and internal energy. However, there is no net change in the total amount of energy during these exchanges.
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two particles, an electron and a proton, are initially at rest in a uniform electric field of magnitude 468 n/c. if the particles are free to move, what are their speeds (in m/s) after 48.8 ns?
A homogeneous electrostatic force of strength 564 N/C is initially present around two substances, an electrons and a proton. if the atoms and molecules are unrestrained.
When both a proton and an electron are inserted into an electric?According to our inquiry, a electron as well as a proton will attract one another with a electrical force of equal strength when they are placed in a magnetic field because of their opposing polarities. However, because of their opposing charges, the force will act in the opposite direction.
Are neutrons simply the sum of protons and electrons?Proton, electron, and an antineutrino do not make up a neutron. These particles are simply byproducts of its decay. One up quark, two down quarks, and numerous "intermediary particles" known as gluons, that carry a interaction between the quarks, make up a neutron.
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I have a project due tomorrow to make a compound machine. What I did is I made a wheel and axle by taking a long pencil (11.2 inches) and attaching it to two wheels on either end which are 1.1 inches. Then I tied a string (5 inches) in the middle of the pencil. This acted as a pulley. My problem is I do not know how to calculate mechanical advantage for my compound machine. Please help.
The ratio of the output force exerted by the last machine in the series divided by the input force applied to the first machine is the mechanical advantage of a compound machine.
What is a compound machine?A machine is a physical system that use power to exert forces, regulate movement, and carry out an action.
A compound machine is a device made up of several simple machines connected in series, each of which serves as the input force for the others. A simple gear train is made up of several gears (wheels and axles) connected in series, just like a bench vise is made up of a lever (the vise's handle) and a screw.
The product of the mechanical advantages of the series of basic machines that make up the compound machine equals the mechanical advantage of the compound machine.
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what term is used to describe the continuous heating and cooling of magma within the mantle
The term is used to describe the continuous heating and cooling of magma within the mantle Convection currents.
What results in the mantle's convection currents?The heat from the earth's core and the mantle causes convection currents to form in the mantle. Mantle material rises in hot columns slowly. The hotter material spreads out at the top of the asthenosphere and pushes the cooler material aside. The mantle receives this cooler substance once more.
Where is and what the mantle is?Earth's interior is made up primarily of the mantle, which is solid. The Earth's thin outer layer, the crust, and its dense, extremely hot core are separated by the mantle. The mantle makes up a staggering 84% of the total volume of the Earth and is roughly 2,900 kilometers (1,802 miles) thick.
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When the mantle moves, heat is transferred from the blazing core to the brittle lithosphere, a process known as mantle convection.
What does the term "mantle convection" mean? Convection currents.Mantle Convection.When the mantle moves, heat is transferred from the blazing core to the brittle lithosphere, a process known as mantle convection.The temperature of the mantle lowers over extended periods of time as it is heated from below and cooled from above.To the convection of the mantle, all these components are present.In the Earth's mantle, convection currents have been found.The mantle's convection circulation is caused by heated mantle material ascending from the mantle's depths while cooler mantle material sinking.The shifting of the Earth's crustal plates is assumed to be caused by this kind of circulation.Convection, an advective heat-transfer mechanism, is the term used to describe the mantle's large-scale motion, in which hot material rises in some locations while colder material sinks in others.To learn more about "mantle convection" refer
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a certain substance strongly absorbs infrared light having a wavelengh of 6.50 what is the frequency in hertz of this liggt socratic.org
The frequency of the infrared light is 4.6 × 10¹² Hz. The result is obtained by using the formula for frequency.
What is the formula for the frequency of a light?The formula for the frequency of a light is
f = c/λ
Where
f = frequency (Hz)c = speed of light (3 × 10⁸ m/s)λ wavelength (m)Infrared light is the band of the electromagnetic radiation spectrum with the wavelength between 780 nm to 1.300 nm.
When it is converted to mm, it would be
0.70 mm - 1.3 mm
An infrared light has a wavelength of 6.5 × 10⁻⁵ m. (The most possible unit).
The frequency would be
f = c/λ
f = (3 × 10⁸)/(6.5 × 10⁻⁵)
f = (3 × 10⁸)/(6.5 × 10⁻⁵)
f = 0.46 × 10¹³ Hz
f = 4.6 × 10¹² Hz
Hence, the frequency of the infrared light is 4.6 × 10¹² Hz.
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Which of the following happens to an object in free fall right after it’s thrown upwards?
(Select all that apply.)
a. Increasing Ug
b. Decreasing Ug
c. Decreasing K
d. Increasing K
e. None of the above
The a body has been thrown upwards then there would be Decreasing Ug. Option B
What is free fall?If we are talking about the free fall, let us bear in mind that we have to know that this is the situation where the object would be falling freely under the influence of gravity.
We must note that the acceleration due to gravity would cause the object to move at a constant velocity as the object is falling freely on the surface of the earth. The value of the acceleration due to gravity would be decreasing as the object is moving upwards.
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from smallest to largest, what is our cosmic address? 1 answer 1 earth 2 answer 2 solar system 3 answer 3 virgo supercluster 4 answer 4 choose... 5 answer 5 choose... 6 answer 6 choose...
Celestial bodies known as astronomical bodies are those that exist naturally in the cosmos. Earth, the solar system, the Milky Way galaxy, the local group, the Virgo cluster, and the cosmos are the things in order of smallest to biggest size.
How do heavenly objects work?
Celestial objects are celestial bodies that are naturally occuring and have a variety of dimensions, masses, distances, and atmospheres. The collection of other celestial objects in it contains the universe as its biggest member.
The neighborhood cluster of galaxies known as Virgo or the local super cluster is made up of a large number of galaxies. The cluster that houses the solar system is called the Milky Way galaxy.
The region of the galaxy that contains astronomical objects like the Sun, planets, stars, moon, etc. is known as the solar system. One of the planets in a solar system is Earth.
The universe, earth, solar system, milky way galaxy, local group, and Virgo cluster are therefore the astronomical objects in order of size.
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Note: The correct question would be as bellow,
Put the following astronomical objects and bodies in order from smallest to largest
1. solar system
2. Milky Way Galaxy
3. universe
4. Virgo cluster
5. Earth
6. Local Group
consider a projectile fired vertically in a constant gravitational field. for the same initial velocities, find the times required for the projectile to reach its maximum height (a) with no resisting force and (b) for a resisting force proportional to the instantaneous velocity of the projectile. (c) show that the result in (a) can be recovered from the result in (b).
Compare the amount of time needed is for projectile to go from its initial velocity to its highest point. (A) for a resistive force of zero.
What types of things are velocities?A number called velocity describes the speed and direction of a point's motion. Because it has both direction and magnitude, velocity is referred to as a linear momentum and cannot be fully expressed in numerical terms, unlike time or length, that are scalar numbers.
How is speed measured?According to the equation v = s/t, velocity (v) is indeed a vector quantity which quantifies displacement (and change in position, s), over change in time (t).
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Charge of uniform density (80 nC/m3) is distributed throughout a hollow cylindrical region formed by two coaxial cylindrical surfaces of radii 1. 0 mm and 3. 0 mm. Determine the magnitude of the electric field at a point which is 4. 0 mm from the symmetry axis. Group of answer choices
The magnitude of the electric field when it is located at a distance of 4.0 mm from the symmetry axis is 4.5 N/C
What is magnitude?The absolute or relative direction or size of an object's motion in the sense of motion can be used to define magnitude. It is extensively utilized to convey something's size or scope. In physics, the term "magnitude" typically means "distance" or "quantity."
According to the question,The charge density = 80 nC/m3.
The inner radius, r' = 1 mm
The outer radius, r'' = 3 mm
distance, r = 4 mm
The linear charge density is given by
λ = ρ π ( r"²- r²).
λ = 80 ×10⁻⁹ × 3.14 × 10 ⁻⁶× (9-1).
λ = 2 × . 10⁻¹²
The electric field is given by,
E = λ/4πe0r.
E = 4.5 N/C.
Therefore, the magnitude of the electric field at a point that is 4.0 mm from the symmetry axis is found to be 4.5 N/C.
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Two cubical block A and B of ame dimenion but mae m and 3m are joined by a tring and are at equilibrium in water a hown in figure. Then
The density of block A and block B is 500 kg/m^3 and 1500 kg/m^3 respectively and the tension of the string is mg.
To find: The density of 2 masses and Tension of the string
What is meant by density ?
The measure of how densely a material is packed together is called density. As the mass per unit volume, it has that definition.Symbol for density: D or Formula for Density: Where is the density, m is the object's mass, and V is its volume, the equation is: = m/V.How much matter is confined within a volume is determined by density. For an identical size object, a dense object weighs more than a less dense one. A substance that is less dense than water will float on it; a substance that is denser will sink. Density equals mass per unit volume, or D = M / V, is the density equation.Mass of block A=m and Mass of block B= 3m.
Let V represent the volume of the block, ρ represents the water density, and ρ1 represent the density of block A.
For Block A, V ρ g = T+ V ρ1g……… (1) where T represents the string's tension.
For block B, V ρ g +T= 3V ρ1g……… (2)
Adding (1) and (2), we get
2V ρ g = 4V ρ1 g
ρ1 = ρ/2 = 1000/2 =500 Kg m^-3
As a result, block A's density is 500 kg/m^3, while block B's density is 1500 kg/m^3.
When we enter these values into (1), we get
V 2ρ1 g = T+ V ρ1g
T = V ρ1 g = mg
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a ball player catches a ball 3.46 ss after throwing it vertically upward. part a with what speed did he throw it?
The initial velocity of the ball would be 14.7 m/s.
What is initial velocity?Initial velocity is the speed and direction of an object at the start of its motion. It is a vector quantity, meaning it has both magnitude (the speed) and direction. Initial velocity is usually denoted by the letter v, with an arrow above it to indicate its direction.
The speed with which the ball player threw the ball can be calculated using the equation v = √2gh,
where v is the initial velocity,
g is the acceleration due to gravity (9.8 m/s2), and
h is the height from which the ball was thrown.
In this case, h = 3.46 s, so the initial velocity of the ball would be v = √2(9.8)(3.46) = 14.7 m/s.
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calculate the total potential energy, in btu, of an object that is 20 ft below a datum level at a location where g
The total potential energy of an object that is 20 ft below a datum level at a location where g = 31.7 ft/s², and which has a mass of 100 lbm is 2.53 Btu.
Potential energy is the power that an object can store as a result of its position in relation to other objects, internal tensions, electric charge, or other circumstances. Potential energy is denoted mathematically as:
PE = m x g x h
Where,
m = mass of the object (kg)
g = acceleration due gravity
h = height
We must calculate an object's total potential energy in British thermal units (Btu)
Hence,
PE = 100 x 31.7 x 20 (1 / 25037) btu
= 2.5322 btu
The question is incomplete, it should be:
Calculate the total potential energy, in Btu, of an object that is 20 ft below a datum level at a location where g = 31.7 ft/s², and which has a mass of 100 lbm.
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A motor requires 400 joules of energy to lift a 5. 0 kg mass 2. 0 meters. Calculate the efficiency of this motor
A motor requires 400 joules of energy to lift a 5. 0 kg mass 2. 0 meters. The efficiency of this motor is 25%.
What is meant by energy ?
Energy is referred to by scientists as the capacity for work. People have figured out how to transform energy from one form to another and then use it to accomplish tasks, making modern civilization possible.The ability to exert a force that causes an item to move is what is meant by the definition of energy as the "power to accomplish work." Even though the definition is unclear, the meaning is clear: energy is simply the force that moves things.Energy can take on a variety of shapes. Examples of these include: electrical energy, sound energy, chemical energy, nuclear or atomic energy, light energy, heat energy, mechanical energy, gravitational energy, and so on.Each form has the ability to shift or transform into the others.To learn more about energy refer to
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if a ball is thrown straight up into the air, what is its acceleration as it moves upward? magnitude
The ball is thrown straight up into the air, its acceleration is -9.8 m/s²(upwards).
What is acceleration?A measure of how quickly an object's velocity changes is called acceleration. It has both a direction and a magnitude because it is a vector quantity. The magnitude of acceleration is measured in units of meters per second squared (m/s²) or feet per second squared (ft/s²). The direction of acceleration is the direction of the change in velocity.
Positive acceleration and negative acceleration are the two different types of acceleration. Positive acceleration occurs when an object's speed increases, and negative acceleration occurs when an object's speed decreases.
As the ball is thrown straight up into the air, it initially accelerates upward due to the force of the throw. As it moves upward, it eventually reaches its maximum height and begins to fall back down to the ground.
The acceleration of the ball as it moves upward is equal to the force of gravity acting on it, which is 9.8 m/s², but in the opposite direction. The direction of acceleration is opposite to the direction of velocity, so the acceleration is upward, but negative. 9.8 m/s² is the magnitude of the acceleration.
So, as the ball is thrown straight up into the air, its acceleration is -9.8 m/s² (upwards).
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Avatar questions
1) Since the moon Pandora is presumably smaller than the Earth , what can you expect to be different ? In other words our moon is smaller than the Earth & what's one of the big differences because of that
2) Did you see any evidence of this difference in the movie Yes / No ? If yes , where ? If no , what should you have seen ?
3) Give an example where the law of physics is SERIOUSLY VIOLATED hint ( has something to do with " something " that shouldn't be floating ) .
4) How are the Na'vi aliens maybe a bit too much like us humans or animals on their planet mean come on , they developed on another planet -- give at least 3 traits that make them " too human " or animals that are too close to things here at home :
1) Because the moon Pandora is smaller than the Earth, it is likely to have a weaker gravitational pull and a thinner atmosphere. This means that heavier objects, like people, would be able to fly and jump higher than on the Earth.
2) No, there was no evidence of this difference in the movie. If there was, the characters should have been seen flying or jumping higher than what is normal on Earth.
3) In the movie, one of the characters is able to fly while holding onto a large tree branch. This violates the law of physics, as the branch should not be able to remain afloat due to its size and weight.
4) The Na'vi aliens have some traits that make them too similar to humans and animals on Earth. These traits include having two eyes, a humanoid shape, and speaking a language. They also have animals that are similar to those found on Earth, such as horses, birds, and dogs.
What is gravitional pull?
Gravitational pull is the force of attraction between objects that have mass. It is the force that keeps us on the ground and keeps the planets in orbit around the sun. It is a fundamental force of nature that is caused by the interaction between two objects with mass.
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trials with which two sets of experimental conditions would allow an experimenter to determine the effect of increasing drop height upon the force experienced by the egg?
Size: large, drop height: 1 metre, surface: hard floor, and size: large, drop height: 10 metres, surface: hard floor are the two trials that would allow a researcher to examine the influence of increasing drop height upon the force experienced by the egg.
Since the goal of the experiment is to understand how a difference in mass (or size) can impact the force that the egg experiences, It means that the other points of measurement should remain the same and only the size should change. Therefore, the Trials that would enable an experimenter to ascertain the impact of increasing drop height on the force felt by the egg under two sets of experimental conditions are size: large, drop height: 1 metre, and surface: hard.
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A projectile is fired with an initial speed of 250 m/s at an angle of 42° above the
horizontal
a. Determine the total time in the air.
b. Determine the maximum height reached by the projectile.
c. Determine the maximum horizontal distance covered by the projectile.
d. Determine the velocity of the projectile 5 s after firing.
a) The total time in air is 34.1 s
b) The maximum height is 1428 m
c) The horizontal distance is 6343 m
d) The velocity after 5 s is 299 m/s
What is the projectile?Let us note that the projectile has to do with any object that is moving along a parabolic path.
a) Time of flight = 2usinθ/g
u = initial velocity
g = acceleration due to gravity
θ = angle of projection
T = 2 * 250 sin 42/9.8
= 34.1 s
b) H = v^2sin^2θ/2g
H = (250)^2 sin^2(42)/2(9.8)
H = 27983/19.6
H = 1428 m
c) R = v^2 sin2θ/g
R = (250)^2sin 2(42)/9.8
R = 6343 m
d) v = u + gt
v = 250 + (9.8 * 5)
v = 299 m/s
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A teacher conducts an experiment in class to show the importance of physical properties in classifying matter. You have six samples of different materials with the same mass of 12 grams(g). Some samples are larger than others, but they all have the same mass. The teacher classified the samples into two groups based on a single physical property. Then, he asked the students: Which physical property would you most likely have used to classify the samples into these two groups?
Physical and chemical qualities are present in all matter.
What are Physical properties?Physical qualities, such as mass, color, and volume, are characteristics that may be measured by scientists without modifying the makeup of the sample being studied (the amount of space occupied by a sample).
Chemical characteristics, such as flammability and susceptibility to corrosion, define a substance's distinctive capacity to reacted to generate new substances. A pure substance's chemical and physical properties are the same in all samples.
Extensive or intensive physical properties are both possible. The substance's extensive attributes, such as mass, weight, and size, change with the amount present.
Therefore, Physical and chemical qualities are present in all matter.
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If a current of 23A flows through a circuit and the battery produces a potential difference of 9V, calculate the resistance.
The resistance of the battery if a current of 23A flows through a circuit and the battery produces a potential difference of 9V is 0.39 ohms.
How to calculate resistance?Resistance is the force that tends to oppose motion. It is measured in ohms. The resistance of a battery can be calculated using the following formula;
V = IR
Where;
V = voltage (volts)R = resistanceI = currentAccording to this question, a current of 23A flows through a circuit and the battery produces a potential difference of 9V. The resistance can be calculated as follows:
R = V/I
R = 9/23
R = 0.39ohms
Therefore, 0.39ohms is the resistance of the battery.
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a stone is thrown vertically up with a speed of 14 m/s, and at that moment it had 37 j of kinetic energy. what was the mass of the stone?
The mass of the stone is 0.38 kg. The result is obtained by using the formula for kinetic energy.
What is kinetic energy?Kinetic energy is the energy of an object due to its motion. The kinetic energy can be expressed as
KE = ½ mv²
Where
KE = kinetic energy (J)m = mass of object (kg)v = velocity of object (m/s)A stone is thrown vertically up. It has
Speed, v = 14 m/sKinetic energy, KE = 37 JFind the mass of the stone!
Using the formula for kinetic energy, we will get the mass.
KE = ½ mv²
37 = ½ m(14)²
37 = ½ m(196)
37 = 98m
m = 0.38 kg
Hence, the stone has a mass of 0.38 kg.
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QUESTION 6 New cars have a crumple zone to help minimise injuries during accidents. In addition seat belts, air bags and padded interiors can reduce the chance of death or serious injury.
6.1 Use principles in Physics to explain how air bags can reduce the chance of death or injury. (3)
Using principles in Physics the way in which air bags can reduce the chance of death or injury is that the airbag increases the time over which the velocity of the head changes so that the acceleration is reduced, and thus the force is reduced.
What is an Airbag?This is referred to as a vehicle occupant-restraint system using a bag designed to inflate extremely quickly, then quickly deflate during a collision.
The gas in the bag can only leave at a certain rate which makes it deflates slowly, and the time duration of the deceleration increases which therefore leads to the force being reduced during a collission and reduces the risk of injury.
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an electron moves with a constant horizontal velocity of 3.0 x 106 m/s and no initial vertical velocity as it enters a deflector inside a tv tube. the electron strikes the screen after traveling 17.0 cm horizontally and 40.0 cm vertically upward with no horizontal acceleration. what is the constant vertical acceleration provided by the deflector? (the effects of gravity can be ignored.)
The constant vertical acceleration provided by the deflector is a = 1.11 * 10^6 m/s^2.
What is meant by acceleration?The rate of change of velocity is called acceleration. Acceleration means that the speed is changing, but not always.
y = vi*t + (1/2)at^2
Where y is vertical displacement, vi is initial vertical velocity, t is time of travel, and a is the constant acceleration.
So, y = (1/2)at^2
Given, vertical displacement of the electron (y = 40.0 cm)
x = vt
x is the horizontal displacement and v is horizontal velocity.
So, t = x/v
t = (17.0 cm) / (3.0 x 106 m/s) = 5.67 x 10^-8 s
y = (1/2)(a)(t)^2
a = 2y/t^2
a = 2(40.0 cm) / (5.67 x 10^-8 s)^2
So, the acceleration provided by the deflector is a = 1.11 * 10^6 m/s^2.
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By what factor does the kinetic energy of a car change when its speed is tripled?
(A) no change at all
(B)factor of 3
(C) factor of 6
(D) factor of 9
By a factor of 9, the Kinetic energy rises.
What happens to kinetic energy of an object if its speed is tripled?The formula for kinetic energy is 1/2 m b square. Half a metre will be used if speed is to be tripled. Divide equation 2 by 19 by 2 m b square by 9, and the resulting energy is 9 tens points. Thus, if an object's speed is tripled, its kinetic energy increases by a factor of nine.According to K=12mv2, kinetic energy. Now, if the velocity v is decreased to 13 percent of the initial velocity while maintaining the same mass, the kinetic energy is decreased to 19 percent of its initial value (since kinetic energy is directly proportional to the square of velocity). Q.As a result, if a body's momentum is tripled, its kinetic energy will increase by a factor of nine.To learn more about Kinetic energy refer to:
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if a car has a mass of 1,000 kg that is evenly distributed to its four tires, how much force does each tire apply to the road?
if a car has a mass of 1,000 kg that is evenly distributed to its four tires, force each tire apply to the road is 2450 N.
A force is not something an object "has in it" or that it "contains." One thing experiences a force from another. There are both living things and non-living objects in the concept of a force.
To calculate the weight of the car.
Weight = Mass x Acceleration due to gravity
Weight = 1000 kg x 9.8 m/s2
Weight = 9800 N
Divide the weight of the car by 4, to get the force each tire applies to the road
Force = Weight ÷ 4
Force = 9800 N ÷ 4
Force = 2450N
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Two objects moved to 1/3 of the original distance. What is the new force if the original force was 45 Newtons?
Two objects moved to 1/3 of the original distance.The new new force if the original force was 45 Newtons is 405 newton.
Force: What is it?
Force is a physical quantity that describes how two or more objects interact with one another. It has magnitude and direction because it is a vector quantity.
A push or pull on an object is a common way to describe force. It has the ability to accelerate, change direction, or alter an object's size or shape. There are two primary categories of forces: non-contact and contact forces.
Newton (N) is the standard force unit in the International System of Units (SI). The force required to accelerate a mass of one kilogram at a rate of one meter per second squared is referred to as one Newton.
The British system uses the pound-force (lbf), the CGS system uses the dyne, and the Metric system uses the kilopond (kp).
Calculating the problem:The new force F2 is given by:
F2 = F1 × (d1^2 / d2^2)
F2 = 45 N × (d1^2 / (1/3d1)^2)
F2 = 45 N × (d1^2 / (1/9d1^2))
F2 = 45 N × 9d1^2 / (1/9d1^2)
F2 = 45 N × 9
F2 = 405 N
So, the new force is 405 Newtons.
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a model rocket sits on a launch pad loaded with fuel. the igniter causes the rocket to rise off the pad, oxidizing 100 g of fuel and ejecting it out the back of the rocket at 650 m/s. after launch, the rocket has a mass of 3 kg. what is its velocity after launch?
The velocity of the rocket after launch is 21.67 m/s.
The velocity of the rocket after launch can be calculated by using the equation of motion for the conservation of momentum.
The initial momentum of the rocket-fuel system is zero (the rocket is at rest on the launch pad), and the final momentum is equal to the mass of the rocket (3 kg) multiplied by its velocity after launch.
We know that the initial momentum is zero, and the final momentum is (mass * velocity)
we can find the final velocity by,
final momentum = mass * velocity
= (3kg) * v
We also know that the fuel is ejected out the back of the rocket at a velocity of 650 m/s
So the momentum of the fuel is equal to its mass (100 g) multiplied by its velocity.
momentum of fuel = mass * velocity
= (0.1 kg) * 650 m/s
The momentum of the rocket-fuel system must be conserved, so the final momentum of the rocket after launch is equal to the momentum of the fuel that was ejected.
final momentum = (3 kg) * v = (0.1 kg) * 650 m/s
By solving V, we get:
v = (0.1 kg * 650 m/s) / 3 kg = 21.67 m/s
So the velocity of the rocket after launch is 21.67 m/s.
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a solar cell with a reverse saturation current of 1na has a solar current of 1.1 a. compute the maximum output power of the cell per unit of thermal voltage.
0.433 ohms the maximum output power of the cell per unit of thermal voltage.
The relation between saturation current ,solar current and maximum output power per unit of thermal voltage is given below
[tex](1+\frac{V_{max}}{V_{T}})e^{\frac{V_{max}}{V_{T}}}=\frac{I_{s}+I_{o}}{I_{o}}[/tex]
[tex]I_{s} = solar \: \: current,\: \: I_{o}=reverse \: \: saturation\: \: current[/tex]
Id= (1 x 10⁻⁹)(e¹⁷⁸⁸ – 1) = 58.24 mA
IL = IS – ID = 1.1 A – 58.24 mA = 1.042 A.
VmaxP = K*VT = 17.88 kT/q
RL = VmaxP/ID = (17.88/1042)kT/q = 17.16 kT/q
At 20oC, kT/q = 25.25 mV, hence RL = 0.433 ohms. Load Resistance
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-- (
2)
(iii) In an experiment using this circuit, an ammeter reading
was 0. 75 A.
The calculated value of the resistance of resistor Rwas 16 0.
What is the voltmeter reading?
Answer:
In order to determine the voltmeter reading in this experiment, we need to use Ohm's Law, which states that the current in a circuit is directly proportional to the voltage and inversely proportional to the resistance. The equation is:
V = I * R
Where:
V = voltage (measured in volts)
I = current (measured in amperes)
R = resistance (measured in ohms)
Given that the ammeter reading was 0.75 A and the resistance of resistor R was 160 ohms, we can substitute these values into the equation:
V = 0.75 A * 160 ohms
V = 120 V
Therefore, the voltmeter reading is 120 V.
Harold uses an inclined plane to move a washing machine from the sidewalk into his house. The vertical distance from the sidewalk to the house is 0.8 meters. If the plane has a mechanical advantage of 2.3, how long is the plane?
A) 0.35 m
B) 3.1 m
C) 1.5 m
D) 1.84 m
Answer:
D) 1.84 m
Explanation:
You want to know the length of an inclined plane that offers a mechanical advantage of 2.3 when moving a washing machine a height of 0.8 meters.
Mechanical advantageA simple machine offers a mechanical advantage when it trades distance for force. In general, the amount of work required remains the same.
The force required is reduced by a factor of the mechanical advantage, while the distance over which that force is applied is increased by the same factor.
The length of the plane is 2.3×0.8 m = ...
D) 1.84 m
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