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

Question #84151
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 ?
1
Expert's answer
2019-01-10T15:42:22-0500

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

P=Wt,P = \frac{W}{t},P=Fdt.P = \frac{Fd}{t}.

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

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

Let's substitute the numbers:

F=65103W35s17.5m=1.3105N.F = \frac{65 \cdot 10^3 W \cdot 35 s}{17.5 m} = 1.3 \cdot 10^5 N.

Answer:

F=1.3105NF= 1.3 \cdot 10^5 N

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