A kickingsimulation attachment goes on the front of a wheelc

A kicking-simulation attachment goes on the front of a wheelchair, allowing athletes with mobility impairments to play soccer. The athletes load up the spring shown through a ratchet mechanism that pulls the 2-kg \"foot\" back to the position 1. They then release the \"foot\" to impact the 0.45-kg soccer ball that is rolling towards the \"foot\" with a speed of 2m/s at the angle theta = 30degree, as shown in the figure. The impact occurs with a coefficient of restitution e = 0.75 when the foot is at position 2, where the springs are unstretched. Knowing that the effective friction coefficient during rolling is mu_k = 0.1, determine (a) the necessary spring coefficient to make the ball roll 30m, (b) the direction the ball will travel after it is kicked.

Solution

https://drive.google.com/file/d/0B459HQjt0ulwaHlBVG16RkFiNTQ/view?usp=drivesdk