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Grace [21]
4 years ago
7

A 75.0-kg person climbs stairs, gaining 2.50 m in height. Find the work done to accomplish this task.

Physics
1 answer:
ololo11 [35]4 years ago
4 0

Answer:

W=1837.5J

Explanation:

A force exerts work when there is a displacement of its point of application in the direction of that force. Therefore, the work done by a system is defined as the inner product between the applied force and the displacement:

W=\vec{F}\cdot \vec{d}\\W=Fcos\theta d

In this case, we have:

F=mg\\h=dcos\theta

So, replacing this:

W=mgh\\W=75kg*9.8\frac{m}{s^2}*2.5m\\W=1837.5J

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