Question

a lawn roller is displaced through 1 km using a force of 200 N in a direction making an angle of 60° with the lawn . The work done is ​

Answer 1

work = FS cos theta

= 200 * 1*cos60

= 200*1/2 = 100

Answer 2

The work done by the roller is $10^5\ J$.

Explanation:

It is given that,

Force acting on the roller, F = 200 N

Distance, displaced by the roller, d = 1 km = 1000 m

Angle with lawn, $\theta=60^{\circ}$

We need to find the work done. We know that the work done is the product of force and displacement. It is given by :

$W=Fd\ cos\theta$

$W=200\ N\times 1000\ m\ cos(60)$

$W=10^5\ J$

So, the work done by the roller is $10^5\ J$. Hence, this is the required solution.

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