A 4.0 kg object is moving at 5.0 m/s NORTH. It strikes a 6.0 kg object at rest. The objects have an elastic collision and move in the NORTH or SOUTH direction. The velocity of the 4.0 kg object after the collision is
a) 1.0 m/s NORTH
b) 4.0 m/s NORTH.
c) 1.0 m/s SOUTH.
d) 4.0 m/s SOUTH.
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Answer: 1 m/s of South
Explanation:
Here the collision is perfectly elastic
So Momentum is conserved
m1 v1 = m2 v2
4*5 = 6* v2
v2 = 20/6 = 3.33 m/s
So the velocity of 6kg = 4 m/s north
Therefore, relative velocity = 5m/s
v2 - v1 = 5
4 - v1 = 5 - v1 = 1
Negative sign indicates that the direction of velocity are opposite site.
Hence, the velocity of 4kg mass after the collision is 1 m/s of south
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