A ball is put into a cone and made to move at a constant specd of \(3.00 \mathrm{~m} / \mathrm{s}\) in a horizontal circle of radius \(0.500 \mathrm{~m}\) (Figure P11.39).

(a) What is the centripetal component of the ball's acceleration?

(b) What is the tangential component of its acceleration?

(c) What force counteracts the force of gravity to keep the ball moving in a horizontal circle?

(d) Use these insights to determine the height \(b\) at which the ball is circling above the bottom of the cone.

Data from Figure P11.39