A small ball of mass is being moved along the curved path of a smooth hemispherical surface of radius from point to point . A force ( ) is always acting along the tangent to the path. The kinetic energy of the ball when it will reach to is:
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Just write the equation for motion ie 2mg-mgsin(€)=mvdv/ds , € is the angle the ball makes with vertical , and ds=R(d€) , Substitute and solve for velocity(v)