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Physics · LAWS OF MOTION

Given below are two statements: Statement I: The law of conservation of linear momentum is a direct fundamental consequence of Newton's second and third laws of motion applied to an isolated system. Statement II: In an inelastic collision between two colliding bodies, the total kinetic energy of the system is conserved, but the total linear momentum is not conserved. In the light of the above statements, choose the most appropriate answer from the options given below:

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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

A projectile of mass \( 3m \) is fired from the origin with speed \( u \) at an angle of \( 45^\circ \) to the horizontal. At the highest point of its trajectory, it explodes into two fragments of mass \( m \) and \( 2m \). If the fragment of mass \( m \) immediately falls vertically downwards to the ground, at what horizontal distance from the origin does the fragment of mass \( 2m \) land? (Neglect air resistance, \( R \) is original range).

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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

Given below are two statements: Statement I: The centre of mass of a system of particles moves as if all the mass of the system was concentrated at that point and all external forces were applied there. Statement II: Internal forces between interacting particles within an isolated system can alter the total linear momentum of the system. In the light of the above statements, choose the most appropriate answer from the options given below:

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