Aball with an initial velocity of 8.00 m/s rolls up a hill without slipping. (a) treating the ball as a spherical shell, calculate the vertical height it reaches. (b) repeat the calculation for the same ball if it slides up the hill without rolling.

Part i)

h = 5.44 m

Part ii)

h = 3.16 m

Explanation:

Part i)

Since the ball is rolling so its total kinetic energy in this case will convert into gravitational potential energy

So we have

here we know that for spherical shell and pure rolling conditions

Part b)

If ball is not rolling and just sliding over the hill then in that case