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Centre of Mass, Linear Momentum, Collision — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsCentre of Mass, Linear Momentum, Collision1 Mark
MCQ
A ball hits a floor and rebounds after an inelastic collision. In this case:
  1. The momentum of the ball just after the collision is same as that just before the collision.
  2. The mechanical energy of the ball remains the same during the collision.
  3. The total momentum of the ball and the earth is conserved.
  4. The total energy of the ball and the earth remains the same.
  • A
    $A$ and $B$
  • B
    $B$ and $C$
  • C
    $B$ and $D$
  • ✓
    $C$ and $D$
✓

Answer

Correct option: D.
$C$ and $D$
As the ball rebounds after hitting the floor, its velocity changes.
i.e. Velocity of ball before collision $\neq$ Velocity of ball after collision
Therefore, the momentum of the ball just after the collision is not same as that just before the collision.
The mechanical energy of the ball also changes during the collision.
However, the total momentum of the system $($earth plus ball$)$ and the total energy of the system remain conserved.

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