With what minimum speed v must a small ball should be pushed inside a smooth vertical tube from a height h , so that it may reach the top of the tube? Radius of the tube is R . (Assume radius of cross-section of tube is negligible in compar

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With what minimum speed v must a small ball should be pushed inside a smooth vertical tube from a height h , so that it may reach the top of the tube? Radius of the tube is R . (Assume radius of cross-section of tube is negligible in comparison to R .)

Quantrex Academy · Accepted Answer

Correct answer: D. 2 g(2 R-h)

For minimum v , velocity of ball at the topmost point will be zero. Byconservationof energy, 1 2 m v^2=m g(2 R-h)v= 2 g(2 R-h)

With what minimum speed v must a small ball should be pushed inside a smooth vertical tube from a height h , so that it may reach the top of the tube? Radius of the tube is R . (Assume radius of cross-section of tube is negligible in comparison to R .)

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