Recent studies have raised concern about `heading\' in youth soccer(i.e., hittin

Question

Recent studies have raised concern about `heading' in youth soccer(i.e., hitting the ball with the head). A soccer player `heads' asize 3 ball deflecting it by 59.0°,and keeps its speed of 11.60 m/s constant. A size 3 ball has a massof approximately 2.000 kg. What is the magnitude of the impulsewhich the player must impart to the ball?

If the player's head has a mass of 2.10 kg, what isthe magnitude of the average acceleration of the player's headduring the impact. Assume that over the brief time of the impact,21.50 ms, the player's head can be treated separately from theplayer's body.

Explanation / Answer

1)The magnitude of the impulse which the player must impart tothe ball is I = m * ux where m = 2.000 kg and ux = u * cos where u= 11.60 m/s and =59.0° 2)According to the law of coservation of momentum wehave m1 * u1 + m2 * u2= (m1 + m2) * V or V = [m1 * u1 + m2 *u2/(m1 + m2)] where m1 = 2.000 kg,u1 = ux =u * cos,m2 = 2.10 kg and u2 = 0 The magnitude of the average acceleration of the player's headduring the impact is a = (V/t) where t = 21.50 ms = 21.50 * 10-3 s
where m = 2.000 kg and ux = u * cos where u= 11.60 m/s and =59.0° 2)According to the law of coservation of momentum wehave m1 * u1 + m2 * u2= (m1 + m2) * V or V = [m1 * u1 + m2 *u2/(m1 + m2)] where m1 = 2.000 kg,u1 = ux =u * cos,m2 = 2.10 kg and u2 = 0 The magnitude of the average acceleration of the player's headduring the impact is a = (V/t) where t = 21.50 ms = 21.50 * 10-3 s

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