Answer to Question #84151 in Mechanics | Relativity for Allison Pantin

Question

An electric motor develops 65 kw of power as it lifts a loaded elevator 17.5 m in 35.0 s. How much force does the motor exert ?

Answer 1

We can find how much force does the motor exert from the definition of the power:

$$P = \frac{W}{t},$$ $$P = \frac{Fd}{t}.$$

Then, from this formula we can find the force that the motor exert:

$$F = \frac{Pt}{d}.$$

Let's substitute the numbers:

$$F = \frac{65 \cdot 10^3 W \cdot 35 s}{17.5 m} = 1.3 \cdot 10^5 N.$$

Answer:

$$F= 1.3 \cdot 10^5 N$$

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