Q2. A football player who weighs 85 kg is carrying the ball directly up field at

Question

Q2. A football player who weighs 85 kg is carrying the ball directly up field at a rate of 15 km/hr. A defensive player who weights 100 kg runs directly at the ball carrier from the opposite direction at a rate of 5 km/hr. The defensive player tackles the attacking player and brings him to the ground. Their collision is completely inelastic.

a)  What is the initial momentum of the offensive player? (2 pts)

b)  What is the initial momentum of the defensive player? (2 pts)

c)  What is the final momentum of the two players immediately after contact? (2 pts)

d)  What is the velocity of the two players immediately after contact? (2 pts)

e)  If the players decelerate at an average rate of 2 m/s2, how much time occurs after the tackle is initiated until the players come to rest? (2 pts)

Explanation / Answer

1) Pi1 = 85*15*(5/18) = 354.167 kg m/s

2) Pi2 = -100*5*(5/18) = -138.889 kg m/s

3) Pf = Pi1 + pi2 = 215.278 kg m/s

4) V = Pi /(m1+m2) = 215.278/(85+100) = 1.164 m/s

5) t = V / a = 1.164 / 2 = 0.582 s

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