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15 joules of work are done by forces other than gravity in taking an object from a position 3 m above the ground to a position 8 m above the ground. What is the change in the gravitational potential energy of the object?

Question

15 joules of work are done by forces other than gravity in taking an object from a position 3 m above the ground to a position 8 m above the ground. What is the change in the gravitational potential energy of the object?

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Solution

The change in gravitational potential energy can be calculated using the formula:

ΔPE = m * g * Δh

where:

  • ΔPE is the change in potential energy
  • m is the mass of the object
  • g is the acceleration due to gravity (approximately 9.8 m/s² on Earth)
  • Δh is the change in height

However, in this problem, we don't know the mass of the object. But we know that the work done on the object is equal to the change in its total energy. In this case, the work done is only changing the gravitational potential energy of the object (since it's specified that the work is done by forces other than gravity). So, we can say that the work done is equal to the change in gravitational potential energy.

Therefore, the change in gravitational potential energy is equal to the work done on the object, which is 15 joules.

This problem has been solved

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