Chapter 13, Problem 13.196RP

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 position 1. They then release the “foot" to impact the 0.45-kg soccer ball that is rolling toward the “foot" with a speed of 2 m s at an angle $6=30°$ , 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 $pt={0.1}_{:}$ determine (a) the necessary spring coefficient to make the ball roll 30 m, (b) the direction the ball will travel after it is kicked.