A 3Kg ball moving at 8m/s strikes a 2kg ball at rest. If the collision is elastic, what is the speed of each ball after the collision?
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Let their velocities after the collision be v
1
and v
2
. As we know for elastic collision.
Relative velocity of approach = relative velocity of separation
10−4=v
2
−v
1
⇒6=v
2
−v
1
⇒v
1
=v
2
−6
Applying conservation of momentum,
10×10+5×4=10v
1
+5v
2
120=10v
1
+5v
2
120=10(v
2
−6)+5v
2
=15v
2
−60
15v
2
=180⇒v
2
=12cm/sec
v
1
=6cm/sec
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