celesteasteria16 celesteasteria16
  • 20-09-2021
  • Mathematics
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How much work is done by the boy in the diagram on the night as he pulls his sister 30.0 meters in a wagon? Assume no friction acts on the wagon

How much work is done by the boy in the diagram on the night as he pulls his sister 300 meters in a wagon Assume no friction acts on the wagon class=

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yoodyannapolis
yoodyannapolis yoodyannapolis
  • 01-10-2021

The work done is 1299.03Nm

Work is done when a force acts on a body, causing that body to move a given number of meters in the same direction as the force.

The formula for work is:

[tex]W=F.dcos\theta[/tex]

We have given

[tex]F=50,d=30m,\theta=30x^{0}[/tex]

Substitute the known values in the formula , we get

[tex]W=50.30cos30\\W=1500\frac{\sqrt{3} }{2} \\W=1299.03 N.m[/tex]

Therefore the work done by the boy is 1299.03Nm.

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