Question

If a force of 40 newtons moves a cart a distance of 9 meters, the work done is Nm. If the same force moves the same cart three times that distance, the work done is Nm.

Answer 1

Explanation:

It is given that,

Force acting on the cart, F = 40 N

Distance, d = 9 m

Work done is given by :

$W=F\times d$

$W=40\ N\times 9\ m=360\ J$

If the same force moves the same cart three times that distance, d' = 3 × 9 = 27 m. Now work done is given by :

$W'=F\times d'$

$W'=40\ N\times 27\ m=1080\ J$

Hence, this is the required solution.

Answer 2

Answer:

1. 360 Nm

2. 1080 Nm

Explanation:

Work done is a product of the force and the displacement.

Work= Fd where F is the force and d the displacement.

For scenario 1 where distance =9 meters the work done=

40 N×9 m= 360 Nm

For scenario 2 where distance= 9×3 =27 m the work done =

40 N × 27 m = 1080 Nm