A 50-g ball moving at 10 m/s in the + x direction suddenly collides head-on with

Question

A 50-g ball moving at 10 m/s in the +x direction suddenly collides head-on with a stationary ball of mass 100 g. If the collision is perfectly elastic, what is the velocity of each ball immediately after the collision? +6.7 m/s, -3.3 m/s -6.7 m/s, +3.3 m/s +3.3 m/s, -6.7 m/s -3.3 m/s, +6.7 m/s A 50-g ball moving at 10 m/s in the +x direction suddenly collides head-on with a stationary ball of mass 100 g. If the collision is perfectly elastic, what is the velocity of each ball immediately after the collision? A 50-g ball moving at 10 m/s in the +x direction suddenly collides head-on with a stationary ball of mass 100 g. If the collision is perfectly elastic, what is the velocity of each ball immediately after the collision? +6.7 m/s, -3.3 m/s -6.7 m/s, +3.3 m/s +3.3 m/s, -6.7 m/s -3.3 m/s, +6.7 m/s +6.7 m/s, -3.3 m/s -6.7 m/s, +3.3 m/s +3.3 m/s, -6.7 m/s -3.3 m/s, +6.7 m/s

Explanation / Answer

m1u1+m2u2=miv1+m2v2 => 50*10=50*v1+100*v2

=>v1+2v2=10----(1)

now e=(v2-v1)/(u1-u2) = 1

=>v2-v1=10----(2)

from 1 and 2 we have

3v2=20

=>v2=6.7 v1=-3.3

ans D

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