A bullet of mass and speed is fired into a door and gets embedded exactly at the…

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A bullet of mass 10 g10 \text{ g} and speed 500 m/s500 \text{ m/s} is fired into a door and gets embedded exactly at the centre of the door. The door is 1.0 m1.0 \text{ m} wide and weighs 12 kg12 \text{ kg}. It is hinged at one end and rotates about a vertical axis practically without friction. What is the angular speed of the door just after the bullet embeds into it? (1) 6.25 rad/sec6.25 \text{ rad/sec} (2) 0.625 rad/sec0.625 \text{ rad/sec} (3) 3.35 rad/sec3.35 \text{ rad/sec} (4) 0.335 rad/sec0.335 \text{ rad/sec}

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