A soccer kicking machine has a 5 lb "simulated foot" attached to A "kicking" 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, which is rolling towards the "foot" with a speed of 2 m/s at an angle θ = 30º as shown. The impact occurs with a coefficient of restitution e = 0.75 when the foot is at position 2, where the spring is unstretched. Knowing that the effective friction coefficient during rolling is μk= 0.1, determine (a) the necessary spring coefficient to make the ball roll 30 meters, (b) the direction the ball will travel after it is kicked.

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400 300 mm/I 300 mm