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

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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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Three identical metal balls, each of radius r 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 M and m<M. The centre of mass of the system is:
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The centre of mass of a system of three particles of masses 1 g, 2 g and 3 g is taken as the origin of a coordinate system. The position vector of a fourth particle of mass 4 g such that the centre of mass of the four-particle system lies at the point 1,2,3 is αi^+2j^+3k^,  where α is a constant. The value of α 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 40 g each are fired from a machine gun with a velocity of 103 m s-1. If the person firing the bullets experience an average force of 200 N, then the number of bullets fired per minute will be-