A hollow spherical ball of uniform density rolls up a curved surface with an initial velocity 3 m s - 1 (as shown in figure). Maximum height with respect to the initial position covered by it will be _____ cm (take, g = 10 m s - 2 )

Step-by-step solution

The total kinetic energy of the ball at the bottom of the curve can be calculated as follows: K = 1 2 M v 2 + 1 2 · 2 3 M R 2 ω 2 =   1 2 M v 2 + 1 3 M R ω 2 =   1 2 M v 2 + 1 3 M v 2           ∵ v = ω R =   5 6 M v 2       . . . 1 The formula to calculate the potential energy acquired by the ball when it attains the maximum height is given by U = M g h       . . . 2 Equate equation (1) and (2) and simplify to obtain the