Momentum: Collision in two dimensions

AI Thread Summary
In the collision scenario between Eddie and Bobby, the players' masses and velocities are crucial for calculating their final velocities post-collision. The initial momentum must be analyzed in both the x and y directions, and the final momentum can be determined by summing their initial momenta and dividing by their combined mass. To find the forces experienced during the collision, the change in momentum over the duration of the collision (1.5 seconds) should be calculated using the formula for force as the rate of change of momentum. The discussion emphasizes the importance of vector analysis in solving these momentum-related problems. Understanding these principles is essential for accurately determining the outcomes of inelastic collisions in physics.
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Homework Statement


Fast Eddie McSpeedy is a receiver for the Kennesaw Kilowatts in the Metro Metric Football League and Big Bobby Clobber plays defense in the rival Marietta Megatons. Eddie has a mass of 85 kg and Bobby has a mass of 140 kg. Eddie catches the ball and runs eastward at 2.4 m/s until he collides with Bobby. Bobby’s velocity is 1.2 m/s in a direction 30 degrees south of west until he collides with Eddie.
(a) If Eddie and Bobby collide COMPLETELY INELASTICALLY what are each of their final velocities?
(b) If the collision between the two players lasts 1.5 seconds, approximately how much force does each player experience during the collision?

Homework Equations


Pi=Pf


The Attempt at a Solution


A. I have split the initial momentum up in the x and y directions for the players and put it in vector form. I am Not sure how to get the final momentum of the players when stuck together.
B. All I have is the initial momentums. I do not know how to get the final momentum for the players if the collide 1.2 seconds. I think i need to find dP/dt in order to get the force exerted on each player.
 
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hi lksmith17! :smile:
lksmith17 said:
A. I have split the initial momentum up in the x and y directions for the players and put it in vector form. I am Not sure how to get the final momentum of the players when stuck together.

the final momentum is the sum of the two initial momentums :wink:

(and of course divide by the total mass to get the final velocity)
B. All I have is the initial momentums. I do not know how to get the final momentum for the players if the collide 1.2 seconds. I think i need to find dP/dt in order to get the force exerted on each player.

force = rate of change of momentum = ∆P/∆t :smile:
 
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