Chapter 10.1, Problem 14PP

To determine

Time taken by truck and winch.

Answer to Problem 14PP

Time taken by truck and winch to pull object is $340\text{s or 5}\text{.67}\text{min}$ .

Explanation of Solution

Given:

Power developed is $P=0.3\text{kW}$

Force exerted by winch is $F=6.8\times {10}^3\text{N}$

Height to which object pulled is $d=15\text{m}$

Formula Used:

Power developed is given as,

  $P=\frac{W}{t}$ ….. (1)

Calculation:

As, $W=Fd$

So, from (1)

  $\begin{array}{l}P=\frac{Fd}{t}\\ 0.3\times {10}^3=\frac{6.8\times {10}^3\times 15}{t}\\ \Rightarrow t=\frac{6.8\times {10}^3\times 15}{0.3\times {10}^3}\\ =340\text{s or 5}\text{.67}\text{min}\end{array}$