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Olympiad workbook
Exam
Olympiad workbook
Subject
NSEP
Chapter
Rotational Motion

Olympiad workbook · NSEP · Rotational Motion

Two masses move on a collision path as shown. Before the collision...

Two masses move on a collision path as shown. Before the collision the object with mass 2M moves with a speed v making an angle θ=sin⁡−135\theta=\sin ^{-1} \frac{3}{5} to the x -axis while the object with mass M moves with a speed 32v\frac{3}{2} v making an angle ϕ=sin⁡−145\phi=\sin ^{-1} \frac{4}{5} with the x -axis. After the collision the object of mass 2 M is observed to be moving to the right along the x -axis with a speed of 45v\frac{4}{5} v. There are no external forces acting during the collision. The correct option is Two masses move on a collision path as shown. Before the collision the object with mass 2M moves with a speed v making

Options

  1. AThe velocity of mass M , after the collision, is zero.
  2. BThe centre of mass is moving along x -axis before the collision.
  3. CThe velocity of centre of mass after the collision is 52v\frac{5}{2} v
  4. DThe total linear momentum of the system before the collision along x - axis is 56Mv\frac{5}{6} M v

Correct answer

B. The centre of mass is moving along x -axis before the collision.

Step-by-step solution

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