Practice Conservation of Energy in Physics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Energy cannot be created or destroyed, only transformed from one form to another.

Energy is like moneyβ€”you can spend it, save it, or change its form, but you can't make more out of nothing.

Example 1

medium
A 2 \text{ kg} ball is dropped from 20 \text{ m}. What is its speed just before hitting the ground? Use g = 10 \text{ m/s}^2.

Example 2

hard
A roller coaster car (500 \text{ kg}) starts from rest at 30 \text{ m} high and descends to 10 \text{ m}. What is its speed at 10 \text{ m}? Use g = 10 \text{ m/s}^2.

Example 3

medium
A pendulum of length 2 \text{ m} is released from a height 0.5 \text{ m} above its lowest point. What is its speed at the lowest point? Use g = 10 \text{ m/s}^2.

Example 4

hard
A skier (60 \text{ kg}) starts from rest at the top of a 25 \text{ m} hill and reaches the bottom at 18 \text{ m/s}. How much energy was lost to friction? Use g = 10 \text{ m/s}^2.