Centre of Mass 1 Question 10

10. Two particles $A$ and $B$ initially at rest, move towards each other by mutual force of attraction. At the instant when the speed of $A$ is $v$ and the speed of $B$ is $2 v$, the speed of the centre of mass of the system is

(1982, 3M)

(a) $3 v$

(b) $v$

(c) $1.5 v$

(d) zero

Assertion and Reason

Mark your answer as

(a) If Statement I is true, Statement II is true; Statement II is the correct explanation for Statement I

(b) If Statement I is true, Statement II is true; Statement II is not a correct explanation for Statement I

(c) If Statement I is true; Statement II is false

(d) If Statement I is false; Statement II is true

Show Answer

Answer:

Correct Answer: 10. (d)

Solution:

  1. Net force on centre of mass is zero. Therefore, centre of mass always remains at rest.


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