Practice Mechanical Energy in Physics

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

Quick Recap

The total of kinetic energy and potential energy in a mechanical system at any given moment.

The combined 'useful' energy for mechanical motion โ€” kinetic plus all forms of potential energy.

Example 1

easy
A 1 \text{ kg} ball at height 5 \text{ m} moves at 6 \text{ m/s}. What is its total mechanical energy? Use g = 10 \text{ m/s}^2.

Example 2

medium
A ball with 68 \text{ J} of mechanical energy is at height 3 \text{ m}. Its mass is 1 \text{ kg}. What is its speed? Use g = 10 \text{ m/s}^2.

Example 3

medium
A 2 \text{ kg} object slides down a frictionless ramp from 8 \text{ m} high. What is its speed at the bottom? Use g = 10 \text{ m/s}^2.

Example 4

easy
A 4 \text{ kg} projectile has 200 \text{ J} of kinetic energy at a height of 5 \text{ m}. What is its mechanical energy? Use g = 10 \text{ m/s}^2.