Two football players collide head-on in midair while trying to catch a thrown football and cling together. The first player is 90 kg and has an initial velocity of 7 m/s, while the second player is 119 kg and has an initial velocity of −6 m/s. Ignore air resistance and friction. What is their velocity vf 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. (d) Calculate the magnitude of the force resulting from the change in the player's velocity during the collision: (e) Calculate the force due to the weight of the player

Question

Two football players collide head-on in midair while trying to catch a thrown football and cling together. The first player is 90 kg and has an initial velocity of 7 m/s, while the second player is 119 kg and has an initial velocity of −6 m/s.

Ignore air resistance and friction.

What is their velocity vf 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. 

(d) Calculate the magnitude of the force resulting from the change in the player's velocity during the collision:

(e) Calculate the force due to the weight of the player. The forces of friction are usually given by Fk=μkN=μkmg are a fraction of the weight. Make the approximation that the frictional force is equal to the player's weight.

(f) Compare the two forces (in this part, use mg to approximate Fk):

 

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