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Upon arriving in Physics class, Jeremy lifts a 1.70-kg book from the floor to his 0.86-meter high desktop. What is the potential energy of the book relative to the floor?

Question

Upon arriving in Physics class, Jeremy lifts a 1.70-kg book from the floor to his 0.86-meter high desktop. What is the potential energy of the book relative to the floor?

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Solution

To calculate the potential energy of the book relative to the floor, we can use the formula for gravitational potential energy:

PE = mgh

where: PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height above the ground.

Given: m = 1.70 kg (mass of the book), g = 9.8 m/s² (acceleration due to gravity on Earth), and h = 0.86 m (height of the desktop).

Substituting these values into the formula, we get:

PE = 1.70 kg * 9.8 m/s² * 0.86 m = 14.2828 Joules

So, the potential energy of the book relative to the floor is approximately 14.28 Joules.

This problem has been solved

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