# A body of mass 2.0kg makes an elastic collision with another body at rest and continues to move in the original direction but with 1/4 of its original speed.a) What is the mass of the other body?b) What is the speed of the two-body center of mass if the initial speed of the 2.0kg body was 4.0m/s?

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A body of mass 2.0kg makes an elastic collision with another body at rest and continues to move in the original direction but with 1/4 of its original speed.

a) What is the mass of the other body?

b) What is the speed of the two-body center of mass if the initial speed of the 2.0kg body was 4.0m/s?

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Step 1

Both Momentum and Kinetic energy will be conserved in this system. Thus, from the given conditions:

Step 2

a)Thus, the mass of the other body will be:

Step 3

(b) The speed of the two-b...

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