A small puck (m1 = 0.10 kg) is sliding to the right with an initial speed of 8.0

Question

A small puck (m1 = 0.10 kg) is sliding to the right with an initial speed of 8.0 m/s on an air table. The puck collides with a larger puck (m2 = 0.40 kg), which is initially at rest. After the collision the small puck has a speed of 4.0 m/s at angle of 60 degree from its original path and the larger puck has a speed of 1.7 m/s at angle of 30 degree from its original path. See the figure. Confirm that momentum is conserved in this collision. Is this collision elastic or inelastic? Ignore any rotation of the pucks here.

Explanation / Answer

a)Initial vertical momentum=m1v1i=0.1*8=0.8kgm/s

Initial vertical momentum=0

Final horizontal momentum=0.1*4Cos60+0.4*1.7*Cos30=0.79kgm/s0.8kgm/s

b)Final KE=1.378J

Initial KE=3.2J

Since final KE<initial KE, this is an inelastic collision

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