Nan’s suitcase has a mass of 14 kilograms. How much potential energy does it gain when she lifts it onto a bench that is 40 centimeters tall?

PE=mgh

(1 point)
Responses

54.88 J
54.88 J

24.2 J
24.2 J

5,488 J
5,488 J

5.6 J

To calculate the potential energy, we need to use the formula PE = mgh, where m is the mass (in kilograms), g is the acceleration due to gravity (which is approximately 9.8 m/s^2), and h is the height (in meters).

In this case, the mass (m) is given as 14 kilograms and the height (h) is given as 40 centimeters, which is equal to 0.4 meters.

Thus, the potential energy (PE) gained when Nan lifts the suitcase onto the bench is:

PE = (14 kg) x (9.8 m/s^2) x (0.4 m)

PE = 54.88 J

Therefore, the correct answer is 54.88 J.