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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.

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Answer:

[tex]12\pm 1.5 J[/tex]

Uncertainty in work done[tex]=1.5 J[/tex]

Step-by-step explanation:

We are given that

[tex]F=2.4\pm 0.3 N[/tex]

[tex]d=5 m[/tex]

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

We know that

[tex]W=Fd[/tex]

[tex]dW=dF(d)[/tex]

We have

[tex]dF=0.3 N[/tex]

Substitute the values

Uncertainty in work done,[tex]dW=0.3\time 5=1.5 J[/tex]

[tex]W=(2.4\pm 0.3)\times 5=12\pm 1.5 J[/tex]

W=[tex]12\pm 1.5 J[/tex]

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