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Question

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.

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A
g(Rh)
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B
g(2Rh)
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C
2g(2Rh)
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D
2g
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Solution

The correct option is D 2g(2Rh)
By using conservation of energy, from the initial point to the highest point
12mv2=mg(2Rh)+12mV2
for minimum V, V=0
12mv2=mg(2Rh)v=2g(2Rh)

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