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A body of mass 10 kg and velocity 10 m/s collides with a stationary body of mass 5 kg. After collision both bodies stick to each other, velocity of the bodies after collision will be
  • a)
    3/10 ms
  • b)
    18/3 m/s
  • c)
    9/20 m/s
  • d)
    20/3 m/s
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A body of mass 10 kg and velocity 10 m/s collides with a stationary ...
Velocity after the collision
=
= 100/15
= 20/3 m/sec.
Free Test
Community Answer
A body of mass 10 kg and velocity 10 m/s collides with a stationary ...
Explanation:

Given:
- Mass of first body (m1) = 10 kg
- Velocity of first body (u1) = 10 m/s
- Mass of second body (m2) = 5 kg
- Velocity of second body (u2) = 0 m/s (stationary)
- After collision, both bodies stick together

Using the principle of conservation of momentum:

Initial momentum:
- Total initial momentum = m1*u1 + m2*u2
- Total initial momentum = 10*10 + 5*0 = 100 kg m/s

Final momentum:
- Total final momentum = (m1 + m2)*v (where v is the final velocity of the combined bodies after collision)

Applying conservation of momentum:
- Total initial momentum = Total final momentum
- 100 = (10 + 5)*v
- v = 100/15
- v = 20/3 m/s

Therefore, the velocity of the bodies after the collision is 20/3 m/s (option D).
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A body of mass 10 kg and velocity 10 m/s collides with a stationary body of mass 5 kg. After collision both bodies stick to each other, velocity of the bodies after collision will bea)3/10 msb)18/3 m/sc)9/20 m/sd)20/3 m/sCorrect answer is option 'D'. Can you explain this answer?
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