Chapter 10, Problem 93A

To determine

Angle at which rope is held.

Answer to Problem 93A

Angle at which rope held is $\theta ={58.74}^o$

Explanation of Solution

Given:

Weight of sled is $F=125\text{N}$

Distance pulled is $d=185\text{m}$

Work done in pulling is $W=1.2\times {10}^4\text{J}$

Formula Used:

As work done is given by,

  $W=Fd\cos \theta$

Calculation:

  $\begin{array}{l}W=Fd\cos \theta \\ \therefore \theta ={\cos }^{-1}\left(\frac{W}{Fd}\right)\\ ={\cos }^{-1}\left(\frac{1.2\times {10}^4}{125\times 185}\right)\\ ={58.74}^o\end{array}$