Starting from rest, a 5.00 - kg block slides 2.50 m downa rough 30.0° incline. The coefficient of kinetic frictionbetween the block and the incline is μk = 0.436. Determine(a) the work done by the force of gravity, (b) the work done bythe friction force between block and incline, and (c) the workdone by the normal force. (d) Qualitatively, how would theanswers change if a shorter ramp at a steeper angle were usedto span the same vertical height?

Question
Asked Dec 17, 2019
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Starting from rest, a 5.00 - kg block slides 2.50 m down
a rough 30.0° incline. The coefficient of kinetic friction
between the block and the incline is μk = 0.436. Determine
(a) the work done by the force of gravity, (b) the work done by
the friction force between block and incline, and (c) the work
done by the normal force. (d) Qualitatively, how would the
answers change if a shorter ramp at a steeper angle were used
to span the same vertical height?

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Expert Answer

Step 1

a)

the work done by the force of gravity is 

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W = (mg sin e) d

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Step 2

substitute the given values in the above equation to calculate W

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W = (5.00kg)(9.80 m/s)(sin 30.0°)(2.50m) = 61.3J

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Step 3

b)

the expression for the work done b...

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W' =(µ,R)d Here Ris thenormal rection force R = mg cos e W' = (4,mg cos e)d

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