Work, Power and EnergyHard
Question
A metal ball of mass 2kg moving with speed of 36km/hr is having a collision with a stationary ball of mass 3kg. If after collision, both the balls move together, the loss in kinetic energy due to collision is:
Options
A.80J
B.40J
C.60J
D.160J
Solution
Let v be the common velocity.
Applying conservation of momentum
2 × 10 + 3 × 0 = (2 + 3)v
v =
= 4m/sec
[36km/hour = 10m/sec]
Initial Energy =
× 2 × (10)2 + 0 = 100 J
final Energy = × 5 × 4 × 4 = 60 J
Loss of energy = 100 - 40 = 60 joule
Applying conservation of momentum
2 × 10 + 3 × 0 = (2 + 3)v
v =
= 4m/sec[36km/hour = 10m/sec]
Initial Energy =
× 2 × (10)2 + 0 = 100 Jfinal Energy =
× 5 × 4 × 4 = 60 JLoss of energy = 100 - 40 = 60 joule
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