Question

A 10-kg box sits on the floor. Approximately how high would you have to lift the boxto increase the gravitational potential energy by 350 J?3.5 m07.0m( 15 m40 m

Answer 1

In order to determine the height at wich it is necessary to lift the box, use the following formula for the potential energy:

$U=\text{mgh}$

where:

U: potential energy = 350 J

m: mass of the box = 10 kg

h: height related to the floor = ?

g: gravitational acceleration constant = 9.8 m/s^2

Solve the equation above for h and replace the values of the other parameters, as follow:

$h=\frac{U}{mg}=\frac{350J}{(10kg)(9.8\frac{m}{s^2})}\approx3.5m$

Hence, you have to lift the box approximately 3.5m to increase the potential energy by 350J