Question

nans 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)
54.88 j
5,488 j
24.2 j
5.6 j

Explanation:

Step1: Convert height to meters

Since \(1\ m = 100\ cm\), then \(h = 40\ cm=\frac{40}{100}m = 0.4\ m\).

Step2: Substitute values into the formula

Given \(m = 14\ kg\), \(g = 9.8\ m/s^{2}\), \(h=0.4\ m\). Using the formula \(PE=mgh\), we have \(PE=(14)(9.8)(0.4)\).
First, calculate \(14\times9.8 = 137.2\). Then \(137.2\times0.4=54.88\).

Answer:

54.88 J