Chapter 11: Q. 53 (page 290)

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?

Short Answer

Expert verified

The target's s speed just after the bullet emerges is $0.02 m / s$

Step by step solution

Step 1. Given information

Mass of bullet, $m_{b u l l e t} = 25 g$

Initial velocity of the bullet, role="math" localid="1648141886819" $v_{b u l l e t, i} = 1200 m / s$

Mass of stationary target, $m_{t a r g e t} = 350 k g$

Final Velocity of the bullet, $v_{b u l l e t, f} = 900 m / s$

Step 2. Analyze and apply

Applying the conservation of momentum,

$\begin{array}{l} m_{bullet} v_{bullet,initial} + m_{target} v_{target,initial} = m_{bullet} v_{bullet,final} + m_{target} v_{target,inal} \\ 0.025 \times k g 1200 m / s + 350 k g \times 0 m / s = 0.025 k g \times 900 m / s + 350 k g \times v_{target,final} \\ \Rightarrow v_{target,final} = 0.02 m / s \end{array}$

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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?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Analyze and apply

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In a ballistics test, a 25g bullet traveling horizontally at 1200m/s goes through a 30-cm-thick 350 kg stationary target and emerges with a speed of 900m/s. The target is free to slide on a smooth horizontal surface. What is the target’s speed just after the bullet emerges?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Analyze and apply

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Waves Physics

Space Physics

Torque and Rotational Motion

Astrophysics

Dynamics

Fluids

Study anywhere. Anytime. Across all devices.

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?