Given this table: Find: A) Puck 2, after collision v x (in cm/s). B) Puck 2, aft

Question

Given this table:

Find:

A) Puck 2, after collision vx (in cm/s).
B) Puck 2, after collision vy (in cm/s).
C) The percentage of energy that is lost in the collision?
D) The components of the velocity of puck 2 after the collision vx.
E) The components of the velocity of puck 2 after the collision vy.

Please help me with this, I'm very confused - any help is much appreciated!

Given this table: Find: A) Puck 2, after collision vx (in cm/s). B) Puck 2, after collision vy (in cm/s). C) The percentage of energy that is lost in the collision? D) The components of the velocity of puck 2 after the collision vx. E) The components of the velocity of puck 2 after the collision vy. Please help me with this, I'm very confused - any help is much appreciated!

Explanation / Answer

For collision analysis Just keep two points in mind

1. Momentum is always conserved, whether it is an elastic or inelastic collision.

That is initial total momentum in any direction = Final total momentum in that direction

2. Kinetic Energy is conserved only in elastic collisions and not in inelastic collisions.

Now in the problem

Assume both pucks have same mass m since itsnot specified.

Apply Momentum conservation along x-axis

m*21-m*46 = -m*13 + m*v

v=-12cm/s = x-velocity of Puck 2 after collision

Apply Momentum conservation along y-axis

m*35+m*15 = m*10 + m*u

u = 40cm/s = y-velocity of Puck 2 after collision

Since we have all velocities now just find total KE before and after collisions

KE before - KE after = 0.5*m*1994

KE before = 0.5*m*4007

Percentage loss of KE = 1994/4007 = 49.7%

Questions C, E are same as A, B

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