Momentum and CollisionHardBloom L1

Question

The diagram shows the velocity-time graph for two masses R and S that collided elastically. Which of the following statements is true?

(I) R and S moved in the same direction after the collision.

(II) Kinetic energy of the system (R & S) is minimum at t = 2 milli sec.

(III) The mass of R was greater than mass of S.

Options

A.I only
B.II only
C.I and II only
D.I, II and III

Solution

Sol. Momentum conservation

MSUS + MRUR = MSVS + MRVR

MS(0) + MR (0.8) = MS(1) + MR(0.2)

MR(0.6) = MS

⇒ MS < MR

Also velocity of both blocks are positive after collision ⇒ they are moving in same direction.

Also during the collision.

At min KE of system, velocity of both particles should be same.

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