Questions

Two identical particles collide in air inelastically. One moves horizontally and the other moves vertically with equal speed just before collision. The fractional loss in kinetic energy of the system of particles is equal to

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a

1/2

b

1/2

c

3/2

d

None of these

detailed solution

Correct option is B

Conservation of linear momentum yieldsmvi^+mvj^=(2m)v→′⇒ v¯′=v2(i^+j^)⇒v′=v2 η=1−KEfKEi=1−(1/2)(2m)v′2(1/2)mv2+(1/2)mv2⇒ η=1−v′v2=1−122=12

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Two bodies having same mass 40 kg are moving in opposite directions, one with a velocity of 10 m/s and the other with 7 m/s If they collide and move as one body, the velocity of the combination is (m/s)

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