Work Energy Power – Worksheet problem solution (Q1)

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A block of mass 1 kg slides down on an inclined plane of inclination 60 degrees. Find the work done by the block’s weight as it slides through 100 cm.

inclined plane work problem numerical - supporting diagram

Solution:
mass = 1kg. 
Weight = 1x 9.8 N = 9.8 N 
So the force to be considered is the weight = F=9.8 N in the downward direction.

And as the displacement is along the inclined plane, from the diagram it’s clear that the angle between the force and displacement is = (180-90-60) = 30 degrees.

Displacement = 100 cm = 1 m

So the work done is W = FS Cos θ = 9.8 x 1x Cos 30 = 8.487 J

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Work Energy Power – Worksheet problem solution (Q1)
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