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Question: Answered & Verified by Expert
A sphere is suspended by a thread of length $l$ What minimum horizontal velocity has to be imparted the ball for it to reach the height of the suspension?
PhysicsWork Power EnergyMHT CETMHT CET 2011
Options:
  • A $\mathrm{gl}$
  • B $2 \mathrm{gl}$
  • C $\sqrt{2 g l}$
  • D $\sqrt{g l}$
Solution:
2950 Upvotes Verified Answer
The correct answer is: $\sqrt{g l}$
KE given to a sphere at lowest point
= potential energy at the height of suspension $\frac{1}{2} m v^{2}=m g l$
$\therefore$
$$
v=\sqrt{2 g l}
$$

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