A puck is moving in a circle of radius r with a constant speed V0 on a level frictionless table. A string is attached to the puck which holds it in the circle. The string passes through a frictionless hole and is attached on the other end to a hanging object of mass M. The puck is now made to move with a speed v=3v0 but still in circle. The mass of the hanging object is left unchanged. The acceleration a of the puck and the radius r of the circle are now given by (a0 is the initial acceleration of the puck)

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a'=9a0 and r'=r0

a'=a0 and r'=9r0

a'=9a0 and r'=9r0

a'=a0 and r'=r0

answer is B.

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Detailed Solution

[Concept]: T=mV2R,and T=mg[Step 1]: mv02r0=mg(v=v0,r=r0)m3v02r1=mgr1=9r0[Step 2]: a0=v02r0a1=3v029r0[Step 3]: =a1=a0

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