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

Answer:

$12\pm 1.5 J$

Uncertainty in work done$=1.5 J$

Step-by-step 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,$dW=0.3\time 5=1.5 J$

$W=(2.4\pm 0.3)\times 5=12\pm 1.5 J$

W=$12\pm 1.5 J$