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Question

A body of mass 'm' starts from rest and slides down an inclined plane of height h, and angle θ. The velocity of the body when it reaches the bottom if the incline is smooth is-

A
2gh
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B
2gh
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C
22gh
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D
12gh
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Solution

The correct option is A 2gh

Word one by the forces N and, which are normal to the surface, is zero.

Work done by the force mg sin θ = (mg sin θ) AB,

= mg sin θ×hsin θ,

= mgh.

[Note : This the same work done by gravity on the body if the body is displaced through BC].

Work = change in kinetic energy

mgh = 12 mv2v = 2gh


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