Practice Gravity in Physics

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

Quick Recap

The universal attractive force between any two objects with mass, decreasing with the square of distance.

Everything pulls on everything elseโ€”but only huge things (like Earth) pull noticeably.

Example 1

easy
Calculate the gravitational force between Earth (M = 5.97 \times 10^{24} \text{ kg}) and a 1 \text{ kg} object at Earth's surface (r = 6.37 \times 10^6 \text{ m}). Use G = 6.674 \times 10^{-11} \text{ N m}^2/\text{kg}^2.

Example 2

medium
At what height above Earth's surface would the gravitational acceleration be half of g? Earth's radius is R = 6.37 \times 10^6 \text{ m}.

Example 3

easy
A ball is dropped from rest near Earth's surface. How fast is it going after 3 \text{ seconds}? Ignore air resistance and use g = 9.8 \text{ m/s}^2.

Example 4

medium
Calculate the gravitational force between two 50 \text{ kg} masses separated by 2 \text{ m}. Use G = 6.674 \times 10^{-11} \text{ N m}^2/\text{kg}^2.

Example 5

medium
What gravitational force exists between two 5 \text{ kg} masses whose centers are 2 \text{ m} apart? Use G = 6.674 \times 10^{-11} \text{ N m}^2/\text{kg}^2.