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JEE Main 202427 JanuaryMorning Shift
Exam
JEE Main
Year
2024
Date
27 January
Shift
Morning Shift
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

JEE Main 2024 · 27 January · Morning Shift · Physics · Center of Mass, Momentum and Collision

A body of mass 1000kg is moving horizontally with a velocity 6m s ^...

A body of mass 1000kg1000kg is moving horizontally with a velocity 6ms−16m{s}^{- 1}. If 200kg200kg extra mass is added, the final velocity (in ms−1m{s}^{- 1}) is:

Options

  1. A66
  2. B22
  3. C33
  4. D55

Correct answer

D. 55

Step-by-step solution

From the conservation of linear momentum, it can be written that

Mu=(M+m)v...(1)Mu = \left(M + m\right)v . . . \left(1\right)

where, MM is the initial mass, uu is the initial velocity, mm is the extra mass added and vv is the final velocity of the composition.

From equation (1), it follows that

1000×6=1200×v⇒v=5ms−11000 \times 6 = 1200 \times v ⇒ v = 5m{s}^{- 1}

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