Question

A force of F = 2.4 ± 0.3 N is applied to a block for a period of time, during which the block moves a distance d = 5 m, which is measured with negligible uncertainty. The work W is given by W = Fd. Estimate W, and find the uncertainty in the estimate.

Answer 1

`12\pm 1.5 J`

Uncertainty in work done
`=1.5 J`

Explanation:

We are given that

`F=2.4\pm 0.3 N`

`d=5 m`

We have to find the W and the uncertainty in the estimate.

We know that

`W=Fd`

`dW=dF(d)`

We have

`dF=0.3 N`

Substitute the values

Uncertainty in work done,
`dW=0.3\time 5=1.5 J`

`W=(2.4\pm 0.3)* 5=12\pm 1.5 J`

W=
`12\pm 1.5 J`