A particle is projected with a speed v0=gR. The coefficient of friction between the particle and the hemi-spherical plane is μ=0.5. Then, the acceleration of the particle is

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=g2Normal acceleration of the particle,an=v2R=gRR=gNet acceleration of the particle, anet =at2+an2=g24+g2=5g2