9. A smooth inclined plane of inclination 60° is fixed in a lift which is moving down with an acceleration 'g/3'. If the base of the inclined plane is 'L', the time taken by a body released at the top of the inclined plane to reach the bottom is.
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Answer:
Here downward retardation means upward acceleration i.e g
′
=g+a
The acceleration of the body along incline a
′
=g
′
sinθ=(g+a)sinθ
using S=ut+(1/2)at
2
⇒L=0+(1/2)(g+a)sinθt
2
or t=
(g+a)sinθ
2L
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