Calculate the gravitational acceleration given a change in gravitational potential energy for a mass lifted a height.


Example question:

On Planet X a mass of 7.2 kg is lifted 1.4 m and gains 260 J of gravitational potential energy. What is the gravitational acceleration on Planet X?

Given:

mass: m = 7.2 kg

height: h = 1.4 m

gravitational potential energy: Ug = 260 J


Starting formula

Algebra: divide each side by h

Algebra: h's cancel on right

Algebra: divide each side by m

Algebra: m's cancel on right

Algebra: swap right and left

Plug in values with units

Math: (260)/((7.2)(1.4)) = 25.793....

Final result with significant figures and unit