A disc of radius 0.1 m rolls without sliding on a horizontal surface with a velocity of 6 m s - 1 . It then ascends a smooth continuous track as shown in the figure. The height (in m ) up to which it will ascend is : ( g = 10 m s - 2 )

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Quantrex Academy · Accepted Answer

Correct answer: 2.7

1 2 I w 2 + 1 2 m v 2 = m g h 1 2 m r 2 2 . v 2 R 2 + 1 2 m v 2 = m g h v 2 4 + v 2 2 = g h v 2 + 2 v 2 4 = g h 3 4 × 36 = 10 × h 27 10 = h ⇒ 2.7

A disc of radius 0.1 m rolls without sliding on a horizontal surface with a velocity of 6 m s - 1 . It then ascends a smooth continuous track as shown in the figure. The height (in m ) up to which it will ascend is : ( g = 10 m s - 2 )

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