Question

A lawn roller is pulled along a horizontal surface through a distance of $20m$ by a rope with a force of $200N$. If the rope makes an angle of ${60}^{\circ }$ with the horizontal while pulling, the amount of work done by the pulling force is:

• A. $4000J$
• B. $1000J$
• C. $2000\sqrt{3}J$
• D. $2000J$

Answer 1

The correct option is D $2000J$

W.D in pulling rope $=\overrightarrow{F}.d\overrightarrow{s}$
$=200\times 20\cos {60}^0$
$=2000J$