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The coordinate of the centre of mass of a system as shown in figure :-


(a)
(b)
(c)
(d)

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Important Questions on Centre of Mass, Momentum and Collisions
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The centre of mass of a system of particles does not depend on

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The centre of mass of a system of two particles divides the distance between them:

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The centre of mass of a body,

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Three identical metal balls, each of radius are placed touching each other on a horizontal surface such that an equilateral triangle is formed when the centres of the three balls are joined. The centre of mass of the system is located at

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A system consists of mass and . The centre of mass of the system is:

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The centre of mass of a system of three particles of masses and is taken as the origin of a coordinate system. The position vector of a fourth particle of mass such that the centre of mass of the four-particle system lies at the point is where is a constant. The value of is

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The law of conservation of momentum for a system is based on Newton’s :

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Bullets of mass each are fired from a machine gun with a velocity of . If the person firing the bullets experience an average force of , then the number of bullets fired per minute will be-
