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A $4 k g$ mass moving with a velocity of $20 m / s$ collides with another $5 k g$ mass moving in opposite direction with a velocity of $40 m s^{- 1} .$ During the collision, they stick together. Find their common velocity and the momentum.

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−13.3 m/s, 120 kgms–1

12.5 m/s, 50 kgms–1

7.5 m/s, 100 kgms–1

7.5 m/s, 50 kgms–1

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detailed solution

Correct option is A

v=m1u1−m2u2M1+M2 v=4×20−5×409 =80−2009=−1209 = −13.3 m/s Momentum =(M1+M2)v =(4+5)13.3=120kgms−1

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A 4 kg mass moving with a velocity of 20 m/s collides with another 5 kg mass moving in opposite direction with a velocity of 40 ms−1. During the collision, they stick together. Find their common velocity and the momentum.

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Ready to Test Your Skills?

free study material

A $4 k g$ mass moving with a velocity of $20 m / s$ collides with another $5 k g$ mass moving in opposite direction with a velocity of $40 m s^{- 1} .$ During the collision, they stick together. Find their common velocity and the momentum.