you are given two carts, a and b. they look identical, and you are told that they are made of the same material. you place a at rest on an air track and give b a constant velocity directed to the right so that it collides elastically with a. after the collision, both carts move to the right, the velocity of b being smaller than what it was before the collision. what do you conclude? 1. cart a is hollow 2. need more information 3. cart b is hollow 4. the two carts are identical

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06-12-2022
Physics

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you are given two carts, a and b. they look identical, and you are told that they are made of the same material. you place a at rest on an air track and give b a constant velocity directed to the right so that it collides elastically with a. after the collision, both carts move to the right, the velocity of b being smaller than what it was before the collision. what do you conclude? 1. cart a is hollow 2. need more information 3. cart b is hollow 4. the two carts are identical

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bharathparasad577 bharathparasad577 · Answer 1 · 2022-12-09T11:00:15-05:00

Cart a's final momentum is greater than Cart b's final momentum, while Cart b's initial momentum is greater than Cart a's initial momentum.

The parameters provided;

m1 = the mass of the first cart

m2 = b, the mass of the second cart

u1 = 0 is the initial velocity of the first cart.

u2 is the beginning velocity of the second cart.

According to the concept of conservation of linear momentum, the sum of the initial and final momentum must be equal.

The two carts' initial momentum:

Pbi > Pai

The final momentum of the two carts;

Paf > Pbf

Use linear momentum conservation;

Pai + Pbi = Paf + Pbf

As a result, we can conclude that cart a's final momentum is greater than cart b's final momentum.

Learn more about momentum here

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