6 A small ball of mass \(m \mathrm {~kg}\) is held at a height of 78.4 m above horizontal ground. The ball is released from rest, falls vertically and rebounds from the ground. The coefficient of restitution between the ball and ground is \(e\).
The ball continues to bounce until it comes to rest after 6 seconds.
- Determine the value of \(e\).
- Given that the magnitude of the impulse that the ground exerts on the ball at the first bounce is 23.52 Ns , determine the value of \(m\).