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Question

A block of mass m is projected on a smooth horizontal circular track with speed v. What is the average normal force (in Newtons) exerted by circular walls on the block during its motion from A to B?


A
22mv2πR
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B
mv22πR
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C
mv22πR
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D
mv2R
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Solution

The correct option is A 22mv2πR
Avg. normal force = Rate of change in momentum during its motion from A to B


FN=Δ(mv)Δt
Velocity at point A is v^i
Velocity at point B is v^j
Time taken to move A to B
Δt=(2πR)4v=πR2v
FN=mΔvΔt=m(v^jv^i)(πR)(2v)
|FN|=2mvπR×v2+v2=22mv2πR
|FN|=22mv2πR N

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