# To test the speed of a bullet, you create a pendulum by attaching a 4.70 kg wooden block to the bottom of a 1.20 m long, 0.800 kg rod. The top of the rod is attached to a frictionless axle and is free to rotate about that point.You fire a 10 g bullet into the block, where it sticks, and the pendulum swings out to an angle of 25.0°. What was the speed of the bullet?(Treat the wooden block as a particle.)

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To test the speed of a bullet, you create a pendulum by attaching a 4.70 kg wooden block to the bottom of a 1.20 m long, 0.800 kg rod. The top of the rod is attached to a frictionless axle and is free to rotate about that point.

You fire a 10 g bullet into the block, where it sticks, and the pendulum swings out to an angle of 25.0°. What was the speed of the bullet?

(Treat the wooden block as a particle.)

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Step 1

Moment of inertia of rod + bullet + wood is,

Step 2

Using conservation of angular momentum,

Step 3

Using Work-Energy...

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