Physics

Physics

Problem

A 1.5 kg1.5\,\text{kg} book is lifted from a shelf 0.8 m0.8\,\text{m} above the floor to a higher shelf 2.8 m2.8\,\text{m} above the floor. Calculate the change in its gravitational potential energy. Take g=9.8 m/s2g = 9.8\,\text{m/s}^{2}.
Intuitive explanation

Gravitational potential energy measures how much energy an object stores by virtue of its height. The key insight is that only the change in height matters—not the absolute position—so you'll find Δh\Delta h and multiply by both mass and gravity using ΔPE=mgΔh\Delta PE = mg\Delta h. This tells you how much energy the Earth-book system gained when the book was lifted.

Intuitive explanation

Gravitational potential energy measures how much energy an object stores by virtue of its height. The key insight is that only the change in height matters—not the absolute position—so you'll find Δh\Delta h and multiply by both mass and gravity using ΔPE=mgΔh\Delta PE = mg\Delta h. This tells you how much energy the Earth-book system gained when the book was lifted.

Browse the problem library