An object of mass 4.0 kg starts at rest from the top of a rough inclined plane o

Question

An object of mass 4.0 kg starts at rest from the top of a rough inclined plane of height 10 m as shown in the figure. If the speed of the object at the bottom of the inclined plane is 10 m/s, how much work does friction do on this object as it slides down the incline?

An object of mass 4.0 kg starts at rest from the top of a rough inclined plane of height 10 m as shown in the figure. If the speed of the object at the bottom of the inclined plane is 10 m/s, how mu ch work does friction do on this object as it slides down the incline?

Explanation / Answer

since height = 10 m

so s = 10 / sin30 = 20 m

initial energy = mgh

= 4 (9.81) (10)

= 392.4 joule

final = 0.5 m v^2

= 0.5 x 4x100

= 200

so change in energy = 192.4 joule

so work done = 192.4 joule

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