Question

A crane used 136.65 watts of power to raise a 16.22 N object in 4.97 seconds. Through what vertical distance was the object displaced?

Answer 1

Given,

Power, P = 136.65 watts

Force, F = 16.22 N

Time, t = 4.97 seconds

The work done is calculated by the given formula,

$W=F\times d$

Now, the formula of power is given by

$\begin{gathered} \text{Power = }\frac{W\text{ork done}}{\text{Time}} \\ \text{P = }\frac{F\times d}{T} \\ d=\frac{P\times t}{F} \\ d=\frac{136.65\text{ W}\times4.97\text{ s}}{16.22\text{ N}} \end{gathered}$

Thus, the vertical distance is

$d=41.87\text{ m}$