Question

a 90.0 kg person climbs stairs, gaining 2.00 meters in height. find the work done (in j) to accomplish this task.

Explanation:

Step1: Identify the force

The force here is the weight of the person, $F = mg$, where $m = 90.0$ kg and $g=9.8$ m/s².
$F=90.0\times9.8$ N

Step2: Calculate the work - done

The work - done formula is $W = Fd\cos\theta$. Since the force (weight) and the displacement (height climbed) are in the same direction, $\theta = 0^{\circ}$ and $\cos\theta=1$. Here $d = 2.00$ m.
$W=Fd=(90.0\times9.8)\times2.00$ J
$W = 90.0\times9.8\times2.00=1764$ J

Answer:

1764