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

Step-by-step explanation:

It is given that,

Force acting on the cart, F = 40 N

Distance, d = 9 m

Work done is given by :

`W=F* d`

`W=40\ N* 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* d'`

`W'=40\ N* 27\ m=1080\ J`

Hence, this is the required solution.

Answer 2

1. 360 Nm

2. 1080 Nm

Step-by-step 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