Question #180039

A 5 kg package slides 2m down an incline of 53° above the horizontal. The coefficient of kinetic friction between package and incline is 0.4.


Calculate

a. The work done by friction on the package


b. The work done by gravity.


1
Expert's answer
2021-04-13T06:49:47-0400

Answer

a. Friction force

F=μmgsin(37°)=\mu mg sin(37°)

=0.4×5×9.8×0.600.4\times5\times9.8\times0.60

=11.76N

Now friction work done

W=Fscosθ\theta

= 11.76×2cos18011.76\times2\cos180

=-23.52J

b. Work done by gravity

W=fs cos0°

=(mgcos37°)×2×cos0°=(mgcos 37°) \times2\times cos0°

=5×9.8×0.80×2×178.4J5\times9.8\times0.80\times2\times1\\78.4J


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