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.In a ballistics test, a 25 g bullet traveling
Chapter 9, Problem 48P(choose chapter or problem)
In a ballistics test, a 25 g bullet traveling horizontally at 1200 m/s goes through a 30-cm-thick 350 kg stationary target and emerges with a speed of 900 m/s. The target is free to slide on a smooth horizontal surface. What is the target’s speed just after the bullet emerges?
Questions & Answers
QUESTION:
In a ballistics test, a 25 g bullet traveling horizontally at 1200 m/s goes through a 30-cm-thick 350 kg stationary target and emerges with a speed of 900 m/s. The target is free to slide on a smooth horizontal surface. What is the target’s speed just after the bullet emerges?
ANSWER:Step 1 of 3
We are going to find the speed of the target as it is penetrated by a fast moving bullet.
The mass of the bullet \(\mathrm{m}_{1}=25 \mathrm{~g}=0.025 \mathrm{~kg}\)
The initial speed of the bullet \(\mathrm{v}_{1 \mathrm{~b}}=1200 \mathrm{~m} / \mathrm{s}\)
The final speed of the bullet \(\mathrm{v}_{2 b}=900 \mathrm{~m} / \mathrm{s}\)
The mass of the target \(\mathrm{m}_{2}=350 \mathrm{~kg}\)
The initial speed of the target \(\mathrm{v}_{1 \mathrm{t}}=0\)
The thickness of the target \(\Delta \mathrm{x}=30 \mathrm{~cm}=0.30 \mathrm{~m}\)