Question:

Two particles A and B initially at rest move towards each other under a mutual force of attraction. At the instant when the velocity of A is v and that of B is 2v. The velocity of centre of mass of the system is

Updated On: Apr 4, 2024
  • zero
  • v
  • 2v
  • 3v
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The Correct Option is A

Solution and Explanation

Initially both particles were at rest so $ {{v}_{cm}}=0. $ As external force on the system is zero. Therefore velocity of centre of mass remain unaffected.
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Concepts Used:

Center of Mass

The center of mass of a body or system of a particle is defined as a point where the whole of the mass of the body or all the masses of a set of particles appeared to be concentrated.

The formula for the Centre of Mass:

Center of Gravity

The imaginary point through which on an object or a system, the force of Gravity is acted upon is known as the Centre of Gravity of that system. Usually, it is assumed while doing mechanical problems that the gravitational field is uniform which means that the Centre of Gravity and the Centre of Mass is at the same position.