The total momentum before the collision is:
p1 = m1v1 = (2.0 kg)(15.0 m/s) = 30.0 kg m/s
The total momentum after the collision is:
p2 = (m1 + m2)v2
where m2 is the mass of the second ball (1.5 kg) and v2 is the common speed of the two balls after the collision.
Since the two balls stick together, we can use the conservation of momentum:
p1 = p2
30.0 kg m/s = (2.0 kg + 1.5 kg) v2
v2 = 30.0 kg m/s / 3.5 kg
v2 = 8.57 m/s
Therefore, the common speed of the two balls after the collision is 8.57 m/s.
A ball of mass 2.0kg moves with a speed of 15.0ms-1 and collides with another stationary ball of mass 1.5kg .
If the two ball's stick together after collision , calculate their common speed .
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