Question

question 4 of 29
as a woman carries her suitcase up a flight of stairs, she does work against gravity. if the mass of her suitcase is 20 kg and the flight of stairs is 15 m tall, how much work does she perform by carrying her suitcase? (recall that g = 9.8 m/s²)

a. 3460 j
b. 2720 j
c. 2780 j
d. 2940 j

Explanation:

Step1: Recall work - gravity formula

The work done against gravity is $W = mgh$, where $m$ is mass, $g$ is acceleration due to gravity, and $h$ is height.

Step2: Substitute given values

Given $m = 20\ kg$, $g=9.8\ m/s^{2}$, and $h = 15\ m$. Then $W=20\times9.8\times15$.

Step3: Calculate the result

$W = 20\times9.8\times15=2940\ J$.

Answer:

D. 2940 J