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?
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.
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