Question

A body covers a distance of 4m under the action of force F=(17-14x) where 'x' is the distance in metres find the work done

Answer 1

Answer:

W=F.D

=(17-14.4).4

=156J

Explanation:

Answer 2

The work done by the body is -44 Joules.

Explanation:

It is given that,

A body moves under the action of force, $F=(17-14x)\ N$

It covers a distance of 4 meters. We need to find the work done by the force. It is given by :

$W=\int\limits {F{\cdot} dx}$

$W=\int\limits^4_0 {(17-14x){\cdot} dx}$

$W=17x-7x^2|_0^4$

$W=17(4)-7(4)^2$

W = -44 Joules

So, the work done by the body is -44 Joules. Hence, this is the required solution.

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