A bullet of mass 30g is fired horizontally and at a distance 5 cm above the axis

Question

A bullet of mass 30g is fired horizontally and at a distance 5 cm above the axis of a cylinder of mass 10kg, radius 10cm and length 20cm. The cylinder is initially at rest and is free to rotate on a massless axle through its long axis. The bullet adheres to the cylinder surface as it hits it. The cylinder begins to rotate at an angular speed such that it completes one complete revolution in .209 s after catching the bullet. Calculate the initial speed of the bullet prior to impact

Choices:

3000 m/s

2016 m/s

3 m/s

1008 m/s

55 m/s

Explanation / Answer

apply v = rW

v = 0.1 * 2pi/0.209)

v = 3 m/s

apply the ;law of conservation of momentum

MV = m1u1

u1 = 0.003 + 10)* 3/(0.03)

u1 = 1008 m/s

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