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Q.

A point mass of 1 kg collides elastically with a stationary point mass of 5 kg. After their collision, the 1 kg mass reverses its direction and moves with a speed of 2 m/s. “Which of the following statement(s) is (are) correct for the system of these two masses ?(i) Total momentum of the system is 3 kg m/s.(ii) Total kinetic energy of the system is 4 J.(iii) Velocity of 5 kg mass after collision is 1 m/s

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a

(i, ii)

b

(i, iii)

c

(ii, iii)

d

(i, ii, iii)

answer is B.

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Detailed Solution

From conservation of linear momentum.1×U=1×(−2)+5V2from conservation of energyV2−V1=U1−U2V2+2=U−0Solving U=3m/s,V2=1m/sOption i & iii are correct.
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