A particle is projected with a speed v0=gR. The coefficient of friction between the particle and the hemispherical plane is m = 0.5. Then, the acceleration of the particle is
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a
g
b
5g2
c
2g
d
None of these
answer is B.
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Detailed Solution
When the particle comes with the contact of hemisphere surface, it will slide and friction will be of kinetic nature. This kinetic friction will provide tangential acceleration to the particle. Tangential acceleration of the particle,at=μmgm=μg=g2←.Normal acceleration of the particle,an=v2R=gRR=g↑. Net acceleration of the particle, anet=at2+an2=g24+g2=5g2.