# On a frictionless horizontal air table, puck A (with mass 0.247 kg ) is moving toward puck B (with mass 0.375 kg ), which is initially at rest. After the collision, puck A has velocity 0.118 m/s to the left, and puck B has velocity 0.655 m/s to the right.What was the speed vAi of puck A before the collision?Calculate ΔK, the change in the total kinetic energy of the system that occurs during the collision.

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On a frictionless horizontal air table, puck A (with mass 0.247 kg ) is moving toward puck B (with mass 0.375 kg ), which is initially at rest. After the collision, puck A has velocity 0.118 m/s to the left, and puck B has velocity 0.655 m/s to the right.

What was the speed vAi of puck A before the collision?

Calculate ΔK, the change in the total kinetic energy of the system that occurs during the collision.

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Step 1

Let the mass of puck A be denoted as mA and the mass of puck B be denoted as mB

Let the initial and final velocities of the puck A be denoted as vAi and vAf and the initial and final velocities of the puck B be denoted as vBi  and vBf

Using the Law of conservation of linear momentum as,

Step 2

Make the necessary substitutions and solve for vAi as,

Step 3

Thus the velocity vAi is equal to 0.88 m/s directed towards the right.

b)

The kinetic energy of puck A before collision denoted by KA and puck B...

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