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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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