A bullet traveling at strikes the rim of a stationary uniform disk of mass and radius

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

Problem

A 0.020 kg0.020\,\text{kg} bullet traveling at 300 m/s300\,\text{m/s} strikes the rim of a stationary uniform disk of mass 4.0 kg4.0\,\text{kg} and radius 0.20 m0.20\,\text{m}. The bullet embeds in the disk at the rim. Immediately after the collision, what is the angular speed of the bullet–disk system about the disk’s center? (Assume the disk can rotate freely about its central axis.) (a) 7.5 rad/s7.5\,\text{rad/s} (b) 38 rad/s38\,\text{rad/s} (c) 15 rad/s15\,\text{rad/s} (d) 22 rad/s22\,\text{rad/s}

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