Potential and Kinetic Energy - Middle School Physical Science

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Question

You serve a volleyball with a mass of 2.1 kg. The ball leaves your hand with a speed of 30 m/s. What is the kinetic energy of the ball?

Answer

The answer is 945 Joules. 1/2 of 2.1 x 302 = 945.

The equation for Kinetic Energy is: KE = 1/2 mv2. Kinetic energy has a direct relationship with mass, meaning that as mass increases so does the Kinetic Energy of an object. The same is true of velocity. However, mass and velocity are indirectly related. Objects with greater mass can have more kinetic energy even if they are moving more slowly, and objects moving at much greater speeds can have more kinetic energy even if they have less mass. We must consider both the speed and mass of objects when considering the outcomes of collisions.

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Question

If two cars of the same mass get in a head on collision, which car will likely damage the other more? (ignore vehicle design and assume transferring more kinetic energy results in more damage)

Answer

The answer is "the car going fastest"

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Question

Which of these objects would have the MOST gravitational pull if we were standing directly on the surface?

Answer

The answer is a planet more massive than the Earth, because it has the most mass.

Gravitational energy exists between all objects. We rarely talk about the gravitational energy that exists between objects here on Earth because the pull is so weak. We consider the effect of gravity more often when we talk about planets, stars, and galaxies because they are more massive and have much stronger forces of gravity at work.

The gravitational potential energy of an object depends on the mass of objects, and how far away they are from each other. More massive objects have more gravitational pull. (Remember that just because something is bigger, doesn’t mean it has more mass!) Objects that are closer together have more gravitational pull.

Weight is a measure of the effect of gravity on an object, and can change depending on where we are. Our mass never changes but we weigh less on the moon because there is less gravitational energy between us and the moon. The moon has less gravitational energy than Earth because it is less massive.

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Question

Screen shot 2020 05 27 at 11.44.25 am

Assuming all of these objects have the same mass, which of these sets of objects would have a greater gravitational potential energy?

Answer

The answer is "the objects that are 10 meters apart" because they are closer together and thus have a greater gravitational energy between them.

Gravitational energy exists between all objects. We rarely talk about the gravitational energy that exists between objects here on Earth because the pull is so weak. We consider the effect of gravity more often when we talk about planets, stars, and galaxies because they are more massive and have much stronger forces of gravity at work.

The gravitational potential energy of an object depends on the mass of objects, and how far away they are from each other. More massive objects have more gravitational pull. (Remember that just because something is bigger, doesn’t mean it has more mass!) Objects that are closer together have more gravitational pull.

Weight is a measure of the effect of gravity on an object, and can change depending on where we are. Our mass never changes but we weigh less on the moon because there is less gravitational energy between us and the moon. The moon has less gravitational energy than Earth because it is less massive.

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Question

Screen shot 2020 05 27 at 11.44.03 am

Which of these two objects would have a greater gravitational pull?

Answer

The answer is "the 100 kg object" because it has a greater mass. Reminder that the size of the object does not affect the gravitational energy.

Gravitational energy exists between all objects. We rarely talk about the gravitational energy that exists between objects here on Earth because the pull is so weak. We consider the effect of gravity more often when we talk about planets, stars, and galaxies because they are more massive and have much stronger forces of gravity at work.

The gravitational potential energy of an object depends on the mass of objects, and how far away they are from each other. More massive objects have more gravitational pull. (Remember that just because something is bigger, doesn’t mean it has more mass!) Objects that are closer together have more gravitational pull.

Weight is a measure of the effect of gravity on an object, and can change depending on where we are. Our mass never changes but we weigh less on the moon because there is less gravitational energy between us and the moon. The moon has less gravitational energy than Earth because it is less massive.

Compare your answer with the correct one above

Question

Screen shot 2020 05 27 at 11.43.32 am

The object on the right has a greater gravitational energy than the one on the left. This is because:

Answer

The answer is "it has a greater mass."

Gravitational energy exists between all objects. We rarely talk about the gravitational energy that exists between objects here on Earth because the pull is so weak. We consider the effect of gravity more often when we talk about planets, stars, and galaxies because they are more massive and have much stronger forces of gravity at work.

The gravitational potential energy of an object depends on the mass of objects, and how far away they are from each other. More massive objects have more gravitational pull. (Remember that just because something is bigger, doesn’t mean it has more mass!) Objects that are closer together have more gravitational pull.

Weight is a measure of the effect of gravity on an object, and can change depending on where we are. Our mass never changes but we weigh less on the moon because there is less gravitational energy between us and the moon. The moon has less gravitational energy than Earth because it is less massive.

Compare your answer with the correct one above

Question

Screen shot 2020 05 27 at 11.43.32 am

What is one way we could increase the gravitational pull between these two objects?

Answer

The answer is "both of these."

Gravitational energy exists between all objects. We rarely talk about the gravitational energy that exists between objects here on Earth because the pull is so weak. We consider the effect of gravity more often when we talk about planets, stars, and galaxies because they are more massive and have much stronger forces of gravity at work.

The gravitational potential energy of an object depends on the mass of objects, and how far away they are from each other. More massive objects have more gravitational pull. (Remember that just because something is bigger, doesn’t mean it has more mass!) Objects that are closer together have more gravitational pull.

Weight is a measure of the effect of gravity on an object, and can change depending on where we are. Our mass never changes but we weigh less on the moon because there is less gravitational energy between us and the moon. The moon has less gravitational energy than Earth because it is less massive.

Compare your answer with the correct one above

Question

Which of these objects have a gravitational pull?

Answer

The answer is "all objects have gravitational pull."

Gravitational energy exists between all objects. We rarely talk about the gravitational energy that exists between objects here on Earth because the pull is so weak. We consider the effect of gravity more often when we talk about planets, stars, and galaxies because they are more massive and have much stronger forces of gravity at work.

The gravitational potential energy of an object depends on the mass of objects, and how far away they are from each other. More massive objects have more gravitational pull. (Remember that just because something is bigger, doesn’t mean it has more mass!) Objects that are closer together have more gravitational pull.

Weight is a measure of the effect of gravity on an object, and can change depending on where we are. Our mass never changes but we weigh less on the moon because there is less gravitational energy between us and the moon. The moon has less gravitational energy than Earth because it is less massive.

Compare your answer with the correct one above

Question

Screen shot 2020 05 27 at 11.43.36 am

What could you do to these objects to DECREASE the gravitational energy between them?

Answer

The answer is "both of these" because increasing the distance and decreasing their mass would both decrease the gravitational pull.

Gravitational energy exists between all objects. We rarely talk about the gravitational energy that exists between objects here on Earth because the pull is so weak. We consider the effect of gravity more often when we talk about planets, stars, and galaxies because they are more massive and have much stronger forces of gravity at work.

The gravitational potential energy of an object depends on the mass of objects, and how far away they are from each other. More massive objects have more gravitational pull. (Remember that just because something is bigger, doesn’t mean it has more mass!) Objects that are closer together have more gravitational pull.

Weight is a measure of the effect of gravity on an object, and can change depending on where we are. Our mass never changes but we weigh less on the moon because there is less gravitational energy between us and the moon. The moon has less gravitational energy than Earth because it is less massive.

Compare your answer with the correct one above

Question

What is the kinetic energy of a 4 kilogram book, falling at 5 meters per second?

Answer

The answer is 50 Joules. The equation for Kinetic Energy is: KE = 1/2 mv2 and 1/2 of 4 x 52 = 50.

Kinetic energy has a direct relationship with mass, meaning that as mass increases so does the Kinetic Energy of an object. The same is true of velocity. However, mass and velocity are indirectly related. Objects with greater mass can have more kinetic energy even if they are moving more slowly, and objects moving at much greater speeds can have more kinetic energy even if they have less mass. We must consider both the speed and mass of objects when considering the outcomes of collisions.

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Question

Screen shot 2020 05 27 at 2.49.44 pm

This table from NASA.gov shows data collected from bodies in our solar system. Each body has a different value for "Gravity." What best explains this difference?

Answer

The answer is "they have different masses."

Gravitational energy exists between all objects. We rarely talk about the gravitational energy that exists between objects here on Earth because the pull is so weak. We consider the effect of gravity more often when we talk about planets, stars, and galaxies because they are more massive and have much stronger forces of gravity at work.

The gravitational potential energy of an object depends on the mass of objects, and how far away they are from each other. More massive objects have more gravitational pull. (Remember that just because something is bigger, doesn’t mean it has more mass!) Objects that are closer together have more gravitational pull.

Weight is a measure of the effect of gravity on an object, and can change depending on where we are. Our mass never changes but we weigh less on the moon because there is less gravitational energy between us and the moon. The moon has less gravitational energy than Earth because it is less massive.

Compare your answer with the correct one above

Question

Does a plane have more gravitational energy when it is flying 100km above the Earth or when it is on the ground?

Answer

The answer is "when it's on the ground" because it's closer to the body that it's being pulled towards. Though this difference is hardly noticeable until we are high enough to leave the atmosphere.

Gravitational energy exists between all objects. We rarely talk about the gravitational energy that exists between objects here on Earth because the pull is so weak. We consider the effect of gravity more often when we talk about planets, stars, and galaxies because they are more massive and have much stronger forces of gravity at work.

The gravitational potential energy of an object depends on the mass of objects, and how far away they are from each other. More massive objects have more gravitational pull. (Remember that just because something is bigger, doesn’t mean it has more mass!) Objects that are closer together have more gravitational pull.

Weight is a measure of the effect of gravity on an object, and can change depending on where we are. Our mass never changes but we weigh less on the moon because there is less gravitational energy between us and the moon. The moon has less gravitational energy than Earth because it is less massive.

Compare your answer with the correct one above

Question

Does a plane have more gravitational energy when it is flying 100km above the Earth or when it is on the ground?

Answer

The answer is "when it's on the ground" because it's closer to the body that it's being pulled towards. Though this difference is hardly noticeable until we are high enough to leave the atmosphere.

Gravitational energy exists between all objects. We rarely talk about the gravitational energy that exists between objects here on Earth because the pull is so weak. We consider the effect of gravity more often when we talk about planets, stars, and galaxies because they are more massive and have much stronger forces of gravity at work.

The gravitational potential energy of an object depends on the mass of objects, and how far away they are from each other. More massive objects have more gravitational pull. (Remember that just because something is bigger, doesn’t mean it has more mass!) Objects that are closer together have more gravitational pull.

Weight is a measure of the effect of gravity on an object, and can change depending on where we are. Our mass never changes but we weigh less on the moon because there is less gravitational energy between us and the moon. The moon has less gravitational energy than Earth because it is less massive.

Compare your answer with the correct one above

Question

Screen shot 2020 05 27 at 11.44.25 am

Given ONLY the information in the picture above, which of these sets of objects would have more gravitational potential energy?

Answer

The answer is "we do not have enough information because we don't know the mass of the objects."

Gravitational energy exists between all objects. We rarely talk about the gravitational energy that exists between objects here on Earth because the pull is so weak. We consider the effect of gravity more often when we talk about planets, stars, and galaxies because they are more massive and have much stronger forces of gravity at work.

The gravitational potential energy of an object depends on the mass of objects, and how far away they are from each other. More massive objects have more gravitational pull. (Remember that just because something is bigger, doesn’t mean it has more mass!) Objects that are closer together have more gravitational pull.

Weight is a measure of the effect of gravity on an object, and can change depending on where we are. Our mass never changes but we weigh less on the moon because there is less gravitational energy between us and the moon. The moon has less gravitational energy than Earth because it is less massive.

Compare your answer with the correct one above

Question

A monster truck is traveling at 100 meters per second and runs straight into a bike (with no one on it) The bike is traveling towards the truck at 5 meters per second. As expected, the bike goes flying because it has less kinetic energy than the monster truck. How fast would the bike have to be going to make the monster truck go flying instead?

Answer

The answer is "there is not enough information because we don't know the mass of either object."

The equation for Kinetic Energy is: KE = 1/2 mv2. Kinetic energy has a direct relationship with mass, meaning that as mass increases so does the Kinetic Energy of an object. The same is true of velocity. However, mass and velocity are indirectly related. Objects with greater mass can have more kinetic energy even if they are moving more slowly, and objects moving at much greater speeds can have more kinetic energy even if they have less mass. We must consider both the speed and mass of objects when considering the outcomes of collisions.

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Question

Suppose you have a grocery cart. You are pushing it down the aisle and you continue to push with the same speed as you put more items in the cart. As you add more groceries to the cart, how will the Kinetic energy of the cart change?

Answer

The kinetic energy of the cart will increase because the mass is increasing while the speed remains constant.

The equation for Kinetic Energy is: KE = 1/2 mv2. Kinetic energy has a direct relationship with mass, meaning that as mass increases so does the Kinetic Energy of an object. The same is true of velocity. However, mass and velocity are indirectly related. Objects with greater mass can have more kinetic energy even if they are moving more slowly, and objects moving at much greater speeds can have more kinetic energy even if they have less mass. We must consider both the speed and mass of objects when considering the outcomes of collisions.

Compare your answer with the correct one above

Question

True or false: If an object has more speed than something else, it definitely has more kinetic energy.

Answer

The answer is false. An object with less speed and more mass could potentially have the same Kinetic energy.

The equation for Kinetic Energy is: KE = 1/2 mv2. Kinetic energy has a direct relationship with mass, meaning that as mass increases so does the Kinetic Energy of an object. The same is true of velocity. However, mass and velocity are indirectly related. Objects with greater mass can have more kinetic energy even if they are moving more slowly, and objects moving at much greater speeds can have more kinetic energy even if they have less mass. We must consider both the speed and mass of objects when considering the outcomes of collisions.

Compare your answer with the correct one above

Question

If an object has 250 Joules of Kinetic energy and is traveling at a velocity of 5 meters per second, what is the objects mass?

Answer

The object has a mass of 20kg. Rearranging the formula for kinetic energy will allow you to work backwards. 250 Joules x 2 = 500 Joules. 500 Joules divided by the velocity squared (25) = 20 kg.

The equation for Kinetic Energy is: KE = 1/2 mv2. Kinetic energy has a direct relationship with mass, meaning that as mass increases so does the Kinetic Energy of an object. The same is true of velocity. However, mass and velocity are indirectly related. Objects with greater mass can have more kinetic energy even if they are moving more slowly, and objects moving at much greater speeds can have more kinetic energy even if they have less mass. We must consider both the speed and mass of objects when considering the outcomes of collisions.

Compare your answer with the correct one above

Question

If a duck is flying at 3 meters per second, and has a mass of 2kg. What is the kinetic energy of the duck?

Answer

The duck has a kinetic energy of 6 Joules.

The equation for Kinetic Energy is: KE = 1/2 mv2. Kinetic energy has a direct relationship with mass, meaning that as mass increases so does the Kinetic Energy of an object. The same is true of velocity. However, mass and velocity are indirectly related. Objects with greater mass can have more kinetic energy even if they are moving more slowly, and objects moving at much greater speeds can have more kinetic energy even if they have less mass. We must consider both the speed and mass of objects when considering the outcomes of collisions.

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Question

The equation for Kinetic Energy is: KE = 1/2 mv2 . Based on this equation, what would have the greatest impact on the overall kinetic energy of a moving object?

Answer

The answer is increasing the velocity, because the velocity variable is squared and therefore an increase in velocity would have a greater impact on the overall kinetic energy.

The equation for Kinetic Energy is: KE = 1/2 mv2. Kinetic energy has a direct relationship with mass, meaning that as mass increases so does the Kinetic Energy of an object. The same is true of velocity. However, mass and velocity are indirectly related. Objects with greater mass can have more kinetic energy even if they are moving more slowly, and objects moving at much greater speeds can have more kinetic energy even if they have less mass. We must consider both the speed and mass of objects when considering the outcomes of collisions.

Compare your answer with the correct one above

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