Question

A small sphere with mass m = 0.1 kg, held by an inextensible and massless thread 2 m long, at its other end, in turn, attached to a fixed point on the ceiling, like a pendulum, is Resting. Another sphere is thrown horizontally, making a frontal collision with the first, inelastic with a coefficient of restitution equal to 0.25. Calculate the minimum speed of the sphere that is thrown so that, after the collision, the sphere hanging from the thread describes a complete circumference in the vertical plane and the thrown sphere falls vertically.

Answer 1

minimum speed required for complete rotation in vertical plane is irrespective of mass.

Given by V=√5gR

Where R=radius of circular rotational path

g=Acceleration due to gravity=9.8m/s^2

Answer-9.90 m/s