Question

Two hockey pucks of the same mass 0.5kg elastically collide on a frictionless air hockey table....

Two hockey pucks of the same mass 0.5kg elastically collide on a frictionless air hockey table. Incoming puck A has a velocity of 6m/s and scatters at an angle of 50°. Puck B is initially at rest and scatters 40° the other way. Solve for the speed of Puck A after the collision.

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Answer #1

Since it is an elastic collision, the conservation of momentum and energy are valid here.

Applying conservation of momentum

X-axis:

Y-axis:

where and are the angle with x-axis at which the puck A and B are scattered, respectively.

u1, v1 and v2 are intial velocity of puck A, final velcoity of puck A and final velocity of puck B, respectively.

Inserting this value in first equation of conservation of momentum, we get

Therefore the velocity of puck A is 3.87m/s after collision.

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