4. A 0.015 kg bullet is fired at a 1.5 kg block initially at rest. The bullet, moving with an initial speed of 500 m/s,emerges from the block with a speed of 400 m/s. What is the speed of the block after the collision?m =m =vo =vo =vf =vf =

According to the conservation of momentum, mtvto=mivti+mkvkmtvto-mivti=mkvkvk=mtvto-mivtimk

Answered: 4. A 0.015 kg bullet is fired at a 1.5…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter9: Momentum And Its Conservation

Section: Chapter Questions

Problem 77A

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4. A 0.015 kg bullet is fired at a 1.5 kg block initially at rest. The bullet, moving with an initial speed of 500 m/s,
emerges from the block with a speed of 400 m/s. What is the speed of the block after the collision?
m =
m =
vo =
vo =
vf =
vf =

Expert Solution

Step 1

According to the conservation of momentum,

$\begin{array}{rcl} m_{t} v_{t o} & = & m_{i} v_{t i} + m_{k} v_{k} \\ m_{t} v_{t o} - m_{i} v_{t i} & = & m_{k} v_{k} \\ v_{k} & = & \frac{m_{t} v_{t o} - m_{i} v_{t i}}{m_{k}} \end{array}$

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