Work Energy And Power Question 166

Question: A metal ball of mass 2 kg moving with a velocity of 36 km/h has an head on collision with a stationary ball of mass 3 kg. If after the collision, the two balls move together, the loss in kinetic energy due to collision is [CBSE PMT 1997; AIIMS 2001]

Options:

A) 40 J

B) 60 J

C) 100 J

D) 140 J

Show Answer

Answer:

Correct Answer: B

Solution:

$ v=36km/h=10m/s $

By law of conservation of momentum $ 2\times 10=(2+3)V $

therefore $ V=4m/s $

Loss in K.E. $ =\frac{1}{2}\times 2\times {{(10)}^{2}}-\frac{1}{2}\times 5\times {{(4)}^{2}}=60J $



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