To test the speed of a bullet, you create a pendulum by attaching a 5.80 kg wooden block to the bottom of a 1.60 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 39.0°. What was the speed of the bullet?

Question
Asked Nov 21, 2019
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To test the speed of a bullet, you create a pendulum by attaching a 5.80 kg wooden block to the bottom of a 1.60 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 39.0°. What was the speed of the bullet?

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Expert Answer

Step 1

Consider the situation in the diagram below.

E7
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E7

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Step 2

Given information:

M 5.8 kg
m 0.8 kg
m, = 10 g
l 1.6 m
0=39°
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M 5.8 kg m 0.8 kg m, = 10 g l 1.6 m 0=39°

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Step 3

All the symbols are explained in the above diagram.

Use the angular momentum formula and plug the suitable valu...

1 kg
-(10 g)
(1.6 m)v
1000
g
(0.016 kg m)v
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1 kg -(10 g) (1.6 m)v 1000 g (0.016 kg m)v

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Rotational Mechanics

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