Two football players collide head-on in midair while trying to catch a thrown football and cling together. The first player is 96 kg and has an initial velocity of 9 m/s, while the second player is 111 kg and has an initial velocity of -2 m/s. Ignore air resistance and friction. (a) For the system consisting of the two football players, the total momentum is: Conserved Not conserved (b) This collision is: Elastic Completely inelastic (c) What is their velocity v just after impact if they cling together?

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Two football players collide head-on in midair while trying to catch a thrown football and cling
together. The first player is 96 kg and has an initial velocity of 9 m/s, while the second player is 111
kg and has an initial velocity of -2 m/s.
Ignore air resistance and friction.
(a) For the system consisting of the two football players, the total momentum is:
Conserved
Not conserved
(b) This collision is:
Elastic
Completely inelastic
(c) What is their velocity v, just after impact if they cling together?
In the next three parts, (d) through (f). justify that friction could be ignored compared to the
forces of collision by considering the change in momentum of the first player. Let's assume that
the collision lasts for 10ms. Calculate the force on the first player by the second player during
the collision. (Hint: Consider the system consisting of the first player only. Consider impulse and
the force from friction.)
(d) Calculate the magnitude of the force resulting from the change in the player's velocity during
the collision:
Fett =
(e) Calculate the force due to the weight of the player. The forces of friction are usually given by
Fx= HN = Hxmg are a fraction of the weight (ie. proportional to the weight). Make the
approximation that the frictional force is equal to the player's weight.
mg=
N
(f) Compare the two forces (in this part, use mg to approximate Fx):
Fert
mg
From (f) were we justified to ignore friction?
Transcribed Image Text:Two football players collide head-on in midair while trying to catch a thrown football and cling together. The first player is 96 kg and has an initial velocity of 9 m/s, while the second player is 111 kg and has an initial velocity of -2 m/s. Ignore air resistance and friction. (a) For the system consisting of the two football players, the total momentum is: Conserved Not conserved (b) This collision is: Elastic Completely inelastic (c) What is their velocity v, just after impact if they cling together? In the next three parts, (d) through (f). justify that friction could be ignored compared to the forces of collision by considering the change in momentum of the first player. Let's assume that the collision lasts for 10ms. Calculate the force on the first player by the second player during the collision. (Hint: Consider the system consisting of the first player only. Consider impulse and the force from friction.) (d) Calculate the magnitude of the force resulting from the change in the player's velocity during the collision: Fett = (e) Calculate the force due to the weight of the player. The forces of friction are usually given by Fx= HN = Hxmg are a fraction of the weight (ie. proportional to the weight). Make the approximation that the frictional force is equal to the player's weight. mg= N (f) Compare the two forces (in this part, use mg to approximate Fx): Fert mg From (f) were we justified to ignore friction?
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