Center of MassHard
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. 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.

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.
Options
A.I only
B.II only
C.I and II only
D.I, II and III
Solution
I. Since velocity of both R and S is positive they will move in same direction.
II. At mid point velocities of R and S are same.
III. Change velocity of R is small compair to change in velocity of S. But change in momentum is same for both in magnitude. Hence mass of R should be greater than S.
Hence all three are correct.
II. At mid point velocities of R and S are same.
III. Change velocity of R is small compair to change in velocity of S. But change in momentum is same for both in magnitude. Hence mass of R should be greater than S.
Hence all three are correct.
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