Chapter 10.1, Problem 5PP

To determine

Work done by rope on the boat.

Answer to Problem 5PP

  $\text{4}\text{.92}\text{kJ}$

Explanation of Solution

Given:

Pulling force is $F=255\text{N}$

Displacement is $d=30\text{m}$

Angle of pulling is $\theta ={50}^o$

Formula used:

Work done can be obtained by:

  $W=Fd\cos \theta$

Calculation:

Putting the values

  $\begin{array}{l}W=255\times 30\times \cos {50}^o\\ =4917.325\text{J}\\ \simeq \text{4}\text{.92}\text{kJ}\end{array}$

Conclusion:

Work done by rope on the boat is $\simeq \text{4}\text{.92}\text{kJ}$