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A 2.10-kg ball, moving to the right at a velocity of +1.05 m/s on a frictionless

ID: 2196046 • Letter: A

Question

A 2.10-kg ball, moving to the right at a velocity of +1.05 m/s on a frictionless table, collides head-on with a stationary 8.80-kg ball. Find the final velocities of (a) the 2.10-kg ball and of (b) the 8.80-kg ball if the collision is elastic. (c) Find the magnitude and direction of the final velocity of the two balls if the collision is completely inelastic.

Explanation / Answer

for elastic collision => momentum 2.1*1.05=8.8*v+2.1*u energy .5*2.1*1.05^2=.5*8.8*v^2+.5*2.1*u^2 b)v=velocity of 8.8kg mass=0.404587m/s a)u=velocity of 2.1kg mass =-0.645413m/s c)for inelastic collision momentum 2.1*1.05=(8.8+2.1)*v v=0.2023 m/s

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