A 0.157 kg glider is moving to the right on a frictionless, horizontal air track

Question

A 0.157 kg glider is moving to the right on a frictionless, horizontal air track with a speed of 0.880 m/s . It has a head-on collision with a 0.299 kg glider that is moving to the left with a speed of 2.25 m/s . Suppose the collision is elastic. Part A Find the magnitude of the final velocity of the 0.157 kg glider. Part A Find the magnitude of the final velocity of the 0.157 kg glider. Part A Find the magnitude of the final velocity of the 0.157 kg glider. Part A Find the magnitude of the final velocity of the 0.157 kg glider. Part A Find the magnitude of the final velocity of the 0.157 kg glider. Part A Find the magnitude of the final velocity of the 0.157 kg glider.

Part A

Find the magnitude of the final velocity of the 0.157 kg glider.

Part B

Find the direction of the final velocity of the 0.157 kg glider.

Part C

Find the magnitude of the final velocity of the 0.299 kg glider.

Explanation / Answer

  Let m1 =0.157 Kg , m2 = 0.299 Kg , v1 = + 0,880 m/s ,
v2 = - 2.25 m/s.
m1v1 + m2v2 = m1V1 + m2V2 conservation of momentum
m1v1^2+m2v2^2=m1V1^2+m2V2^2 conservation of energy
Solve
V1 = (m1-m2) v1/(m1+m2) + 2 m2 v2/(m1+m2)
V2 = (m2-m1) v2/(m1+m2) + 2 m1 v1/(m1+m2)
1)V1 = - 3.22 m/s

2)motion towards the left is arbitrarily negative

3)V2 = - 0.0946 m/s

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