A block is released from a height h on a track AB as shown in the figure. From C there is a circular track of radius R=50cm.
Assuming all the surfaces to be smooth, the minimum value of h for which the block reaches the point D is
A
1.25m
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B
2.5m
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C
3.5m
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D
4.25m
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Solution
The correct option is A1.25m To reach the point D, the minimum velocity given to the block at point C is vmin=√5gR
Since all the surfaces are smooth,
using law of conservation of energy
Potential energy at A = Kinetic energy at C ⇒mgh=12mv2