A 4kg ball moving with a velocity of 10m/s collides with a 16 kg ball moving with the velocity of 4m/s. a.) in the same direction b.) in the opposite direction Calculate the velocities of the balls in each case if they coalesce on impact and the loss of energy resulting from impact.
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Answer:5.2 m/s
Mass, m1 = 4kg
m2= 16kg
Velocity before collision for mass 1, u1 = 10m/s
Velocity before collision for mass 2, u2 = 4m/s.
Velocity after collision, V = ?
From law of conservation of linear momentum
Sum of momentum before collision = sum of momentum after collision.
Remember momentum = mass x velocity
Therefore,
m1u1 +m2u2 = (m1 + m2)V
4x10 + 16x4 = (4+16)V
40+64 = 20V
20V= 104/20
Divide both sides by 20
V = 104/20
V = 5.2m/s
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