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Question: Answered & Verified by Expert

A block of mass m is placed at the lowest point of a smooth vertical track of radius R. In this position, the block is given a horizontal velocity u such that the block is just able to perform a complete vertical circular motion. The acceleration of block, when its velocity is vertical is

PhysicsLaws of MotionJEE Main
Options:
  • A g
  • B 3g
  • C g10
  • D 22g
Solution:
1460 Upvotes Verified Answer
The correct answer is: g10

The initial velocity of the block to undergo a complete vertical circular motion is u=5gR

Let us assume that the speed of the block when it is moving in the vertical direction is v, then using conservation of mechanical energy we get

12m5gR2=12mv2+mgR

v2=3gR

The tangential and centripetal accelerations of the block are

at=g  and  ac=3g 

anet=ac2+at2=g10

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