Home Physics System of Particles Rotational Motion Centre of Mass A moving body of mass m and velocity 3 km/hr…
Physics System of Particles Rotational Motion Centre of Mass MCQ (Single Correct)

A moving body of mass m and velocity 3 km/hr collides with a body at rest and of mass 2m and then sticks to it. Now the combined mass starts to move, then the combined velocity will be :

A
4 km/hr
B
3 km/hr
C
2 km/hr
D
1 km/hr

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Text Solution

Verified by Experts
The correct answer is:
D

Here : Mass of the body m 1 = m

Velocity of the first body u 1 = 312 m/sec

Mass of second body at rest m 2 = 2m

Velocity of second body u 2 = 0

After combination total mass of the body

M = m + 2m = 3m

Now from the law of conservation of momentum

M ν = m 1 u 1 + m 2\ u 2

(where M = m + 2m = 3m)

3mv = m × 3 + 2m × 0

v = 1 km/hr

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