3.1 Consider two carts on the air track, Cart A with mass 1 kg and Cart B with 3 kg. Each has a perfectly elastic “bumper" so that when they collide we can consider their interaction to be elastic. Say Cart A approaches from the left with initial velocity of 4 m/s eastward, and Cart B (which starts to the right of Cart A) has an initial velocity of 2 m/s westward. They approach and collide head-on. a) Find the final velocity of both carts, after the collision. b) In doing the math for part a), you should end up with 2 sets of answers. Think about what both possibilities physically represent. Use (that will be your "answer" to part a)) and also a few words to explain what the other set of values means (i.e. justify rejecting them). few words to argue for which set of answers makes sense here

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3.1 Consider two carts on the air track, Cart A with mass 1 kg and Cart B with 3 kg. Each has a perfectly
elastic “bumper" so that when they collide we can consider their interaction to be elastic.
Say Cart A approaches from the left with initial velocity of 4 m/s eastward, and Cart B (which starts
to the right of Cart A) has an initial velocity of 2 m/s westward. They approach and collide head-on.
a) Find the final velocity of both carts, after the collision.
b) In doing the math for part a), you should end up with 2 sets of answers. Think about what both
possibilities physically represent. Use a few words to argue for which set of answers makes sense here
(that will be your "answer" to part a)) and also a few words to explain what the other set of values
means (i.e. justify rejecting them).
Transcribed Image Text:3.1 Consider two carts on the air track, Cart A with mass 1 kg and Cart B with 3 kg. Each has a perfectly elastic “bumper" so that when they collide we can consider their interaction to be elastic. Say Cart A approaches from the left with initial velocity of 4 m/s eastward, and Cart B (which starts to the right of Cart A) has an initial velocity of 2 m/s westward. They approach and collide head-on. a) Find the final velocity of both carts, after the collision. b) In doing the math for part a), you should end up with 2 sets of answers. Think about what both possibilities physically represent. Use a few words to argue for which set of answers makes sense here (that will be your "answer" to part a)) and also a few words to explain what the other set of values means (i.e. justify rejecting them).
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