A 0.420kg soccer ball is initially moving at 2.00m/s. A soccerplayer kicks the b

Question

A 0.420kg soccer ball is initially moving at 2.00m/s. A soccerplayer kicks the ball, exerting a constant 40.0N force in the samedirection as the ball's motion. Over what distance must her foot be in contact with the ballto increase the ball's speed to 6.00m/s? A 0.420kg soccer ball is initially moving at 2.00m/s. A soccerplayer kicks the ball, exerting a constant 40.0N force in the samedirection as the ball's motion. Over what distance must her foot be in contact with the ballto increase the ball's speed to 6.00m/s?

Explanation / Answer

mass m = 0.42 kg Initial speed u = 2 m / s final speed v = 6 m / s force F = 40 N From work energy theorem , work done = change in kineticenergy                                             F S = ( 1/ 2) m [ v ^ 2- u ^ 2 ]                                                   = 6.72 from this required distance S = 6.72 / F = 0.168 m

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