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3 years ago

How high above the ground would a 10 kg object needs to be to have the same GPE as the 30 kg object in the example

Physics

1 answer:

Black_prince [1.1K]3 years ago

4 0

Answer:

The 10 kg mass would have to be at a height 3 times that of the 30 kg mass to have the same gravitational potential energy as the 30 kg mass.

Explanation:

Gravitational potential energy, U = mgh where m = mass of object, g = acceleration due to gravity = 9.8 m/s² and h = height of object above the ground.

Now, let U' = gravitational potential energy of 10 kg mass = m'gh' where m' = 10 kg and h' = height of 10 kg mass above the ground.

So, U' = 10gh'

Also, let U" = gravitational potential energy of 30 kg mass = m"gh" where m" = 30 kg and h" = height of 30 kg mass above the ground.

So, U" = 30gh"

Since both object are supposed to have the same potential energy at a given height of the 10 kg mass,

U' = U"

10gh' = 30gh"

h' = 30gh"/10g

h' = 3h"

<u>So, the 10 kg mass would have to be at a height 3 times that of the 30 kg mass to have the same gravitational potential energy as the 30 kg mass.</u>

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3 years ago

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3 years ago

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3 years ago

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Learn more about distance and displacement:

brainly.com/question/3969582

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3 years ago

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suter [353]

Answer:

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Explanation:

In order to solve this problem, we must first draw a free body diagram with the forces acting on it.

In the attached image we can find the free body diagram.

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3 years ago