Laws of Motion - Result Question 64

64. A particle of mass $M$ is moving in a horizontal circle of radius $R$ with uniform speed $V$. When it moves from one point to a diametrically opposite point, its

[1992]

(a) kinetic energy changes by $M V^{2} / 4$

(b) momentum does not change

(c) momentum changes by $2 MV$

(d) kinetic energy changes by $M V^{2}$

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Answer:

Correct Answer: 64. (c)

Solution:

  1. (c) On the diametrically opposite points, the velocities have same magnitude but opposite directions. Therefore, change in momentum is $MV-(-MV)=2 MV$