IB Physics-A small ball of mass m is moving in a horizontal circle hemispherical bowl.

A small ball of mass m is moving in a horizontal circle on the inside surface of a frictionless hemispherical bowl.The normal reaction force N makes an angle θ to the horizontal.
(a.i) State the direction of the resultant force on the ball.
On the diagram, construct an arrow of the correct length to represent the weight of the ball.
F=mg/("tan" θ)
(b) The radius of the bowl is 8.0 m and θ = 22°. Determine the speed of the ball.
(c) Outline whether this ball can move on a horizontal circular path of radius equal to the radius of the bowl.

(d) A second identical ball is placed at the bottom of the bowl and the first ball is displaced so that its height from the horizontal is equal to 8.0 m.
The first ball is released and eventually strikes the second ball. The two balls remain in contact. Determine, in m, the maximum height reached by the two balls.
Theme-A- Space,time and motion