A small sphere of radius ro = 1.5 cm rolls without slipping on the inside of a track of radius R = 26 cm. If the small sphere starts from rest at the vertical edge of the track, (a) what will be its speed when it reaches the lowest point of the track? When it leaves the track after passing through an angle of 135°, (b) what will be its speed, and c) at what distance D from the base of the track will the sphere hit the ground? (The rotational inertia of a small sphere about its center of mass is I=2mr2/5. Ro 135° Ro D Hint: Don't forget the radius of the sphere when looking at gravitational potential energy! (a) v = 1.85 m/s, (b) v' = 1.56 m/s, c) D = 0.478 m.

A small sphere of radius ro = 1.5 cm rolls without slipping on the inside of a track of radius R = 26 cm. If the small sphere starts from rest at the vertical edge of the track, (a) what will be its speed when it reaches the lowest point of the track? When it leaves the track after passing through an angle of 135°, (b) what will be its speed, and c) at what distance D from the base of the track will the sphere hit the ground? (The rotational inertia of a small sphere about its center of mass is I=2mr2/5. Ro 135° Ro D Hint: Don't forget the radius of the sphere when looking at gravitational potential energy! (a) v = 1.85 m/s, (b) v' = 1.56 m/s, c) D = 0.478 m.