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Question

The diagram shows the velocity- time graph for two masses R and S that collided head on elastically. Which of the following statements is true?
I. R and S moved in the same direction after the collision.
II. The velocities of R and S were equal at the mid time of the collision.
III. The mass of R was greater than mass of S.

295302_5adb0731dbb94b589abc6205008d1ae3.png

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

The correct option is D I, II and III
R and S both have positive velocity after the collision, hence they are moving in the same direction.
At the midpoint of the collision both the velocity-time curves intersect. Hence they have the same velocity at the mid time of the collision.
After the collision, R has a lesser velocity, hence it has a higher mass in order to keep the momentum conserved.
Hence option D is correct.

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