A 1.15-kg wooden block rests on a table over a large hole as in the figure below. A 5.30-g bullet with an initial velocity v, is fired upward into the bottom of the block and remains in the block after the collision. The block and bullet rise to a maximum height of 21.0 cm. M (a) Describe how you would find the initial velocity of the bullet using ideas you have learned in this chapter. O Using the conservation of momentum, you can relate the speed of the block and bullet right after the collision to the initial speed of the bullet. Then, you can use the conservation of mechanical energy for the bullet-block-Earth system to relate the speed after the collision to the maximum height. O Using the conservation of chemical energy you can relate the increased temperature of the block after the collision to the initial speed of the bullet. Then, you can use the conservation of mechanical energy for the bullet-block-Earth system to relate the speed after the collision to the maximum height. O You can find the center of mass of the system based on how far the bullet stops inside the wooden block. Using the the work-energy theorem you can relate this the change in potential energy of the center of mass to the maximum height, U, - Mgy CM: Then, you can use the conservation of energy to relate this potential energy to the initial kinetic energy of the bullet. (b) Calculate the initial velocity of the bullet from the information provided. (Let up be the positive direction.) 29.95 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m/s

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
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Chapter11: Energy And Its Conservation
Section: Chapter Questions
Problem 92A
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A 1.15-kg wooden block rests on a table over a large hole as in the figure below. A 5.30-g bullet with an initial velocity v, is fired upward into the bottom of the block and remains in the block after the collision. The block and
bullet rise to a maximum height of 21.0 cm.
PL
(a) Describe how you would find the initial velocity of the bullet using ideas you have learmed in this chapter.
mechanical energy for the
O Using the conservation of momentum, you can relate the speed of the block and bullet right after the collision to the initial speed of the bullet. Then, you can use the conservation
bullet-block-Earth system to relate the speed after the collision to the maximum height.
O Using the conservation of chemical energy you can relate the increased temperature of the block after the collision to the initial speed of the bullet. Then, you can use the conservation
mechanical energy for
the bullet-block-Earth system to relate the speed after the collision to the maximum height.
O You can find the center of mass of the system based on how far the bullet stops inside the wooden block. Using the the work-energy theorem you can relate this the change in potential energy of the center of
mass to the maximum height, U, - MgyCM: Then, you can use the conservation of energy to relate this potential energy to the initial kinetic energy of the bullet.
(b) Calculate the initial velocity of the bullet from the information provided. (Let up be the positive direction.)
29.95
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m/s
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Transcribed Image Text:A 1.15-kg wooden block rests on a table over a large hole as in the figure below. A 5.30-g bullet with an initial velocity v, is fired upward into the bottom of the block and remains in the block after the collision. The block and bullet rise to a maximum height of 21.0 cm. PL (a) Describe how you would find the initial velocity of the bullet using ideas you have learmed in this chapter. mechanical energy for the O Using the conservation of momentum, you can relate the speed of the block and bullet right after the collision to the initial speed of the bullet. Then, you can use the conservation bullet-block-Earth system to relate the speed after the collision to the maximum height. O Using the conservation of chemical energy you can relate the increased temperature of the block after the collision to the initial speed of the bullet. Then, you can use the conservation mechanical energy for the bullet-block-Earth system to relate the speed after the collision to the maximum height. O You can find the center of mass of the system based on how far the bullet stops inside the wooden block. Using the the work-energy theorem you can relate this the change in potential energy of the center of mass to the maximum height, U, - MgyCM: Then, you can use the conservation of energy to relate this potential energy to the initial kinetic energy of the bullet. (b) Calculate the initial velocity of the bullet from the information provided. (Let up be the positive direction.) 29.95 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m/s Need Help? Read It
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