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A motor with a power of 7.0 × 104 watts lifts a loaded elevator to a height of 20.00 meters for 40 seconds. What is the force exerted by the motor on the elevator?

Verified Answer :

Answer:

\(1.4\cdot 10^5 N\)

Explanation:

First of all, we can find the work done as follows:

\(W=Pt\)

where P is the power and t is the time taken. In this problem, \(P=7.0\cdot 10^4 W\) and \(t=40 s\), so the work done is

\(W=Pt=(7.0\cdot 10^4 W)(40 s)=2.8\cdot 10^6 J\)

The work done is equal to the force applied F times the displacement d:

\(W=Fd\)

since we know d=20.0 meters, we can re-arrange the equation to find the force exerted:

\(F=\frac{W}{d}=\frac{2.8\cdot 10^6 J}{20.0 m}=1.4\cdot 10^5 N\)

Answer:

C) 1.4 × 105 newtons

Explanation:

Correct answer on plato/edmentum