Homework SourseA soccer ball with mass 0334 kg is initially moving with spe
A soccer ball with mass 0.334 kg is initially moving with speed 1.06 m/s. A soccer player kicks the ball, exerting a constant force of magnitude 49.5 N in the same direction as the ball’s motion. Over what distance must her foot be in contact with the ball to increase the ball’s speed to 10.97 m/s?
Solution
given
the mass of the ball is m = 0.334 kg
the velocity is v = 1.06 m/s
the force f = 49.5 N
the final velocity of the ball is V = 10.97 m/s
according to the conservation of the energy
1/2 mv2 + f * x = 1/2 mV2
where x is the distance
x = [m ( V2 - v2 ) ] / 2f
plug in the values and calculate for x in meters
where x is the distance
x = [m ( V2 - v2 ) ] / 2f
plug in the values and calculate for x in meters
