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NTA Abhyas JEE Main2020PhysicsCenter of Mass, Momentum and CollisionPractice

Shown in the figure is a block at rest having an inclined smooth groove in a vertical plane. The horizontal surface is smooth. A ball of the same mass as that of the block at rest is released from the top end. The time when the ball will leave groove is n L 2 3 g . Find n .

Correct answer

7

Step-by-step solution

– m v c o s 60 o + 2 m u = 0 ⇒ v = 4 u 1 2 m [ v 2 + u 2 + 2 u v c o s 120 ° ] + 1 2 m u 2 = m g x s i n 60 ° ⇒ v 2 = 8 7 3 g x ⇒ a r = 4 3 7 g ∴ t = 2 L × 7 4 3 g

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