A rifle of mass is initially at rest on a smooth horizontal track

PHYSICS · Multi-part · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A rifle of mass 4.0 kg4.0\,\text{kg} is initially at rest on a smooth horizontal track. It fires a single bullet of mass 0.020 kg0.020\,\text{kg} with a muzzle speed of 500 m s−1500\,\text{m\,s}^{-1} relative to the rifle. Neglect any external horizontal forces acting on the system. (i) Calculate the recoil velocity of the rifle just after the bullet leaves the barrel. (ii) Determine the kinetic energy gained by the rifle due to the recoil. (iii) Find the percentage of the total kinetic energy of the system that is carried by the bullet.

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