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

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsCentre of Mass, Linear Momentum, Collision3 Marks
Question
Two bodies make an elastic head$-$on collision on a smooth horizontal table kept in a car. Do you expect a change in the result if the car is accelerated on a horizontal road because of the noninertial character of the frame? Does the equation "Velocity of separation $=$ Velocity of approach" remain valid in an accelerating car? Does the equation "Final momentum $=$ Initial momentum" remain valid in the accelerating car?
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Answer

In case car is accelerated it would affect velocity of both bodies,
  1. In this case the change in velocity would affect velocity of both bodies. $($body moving in direction of car would slow down and other one moving in opposite direction would speed up in case car is accelerated$)$
  2. Velocity of separation would be equal to velocity of approach. As only change would be in velocity but everything would remain same.
  3. Yes final momentum would be still equal to initial momentum as with increase in velocity of one body the velocity of other body does decrease.

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