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Solved: A 3000-kg cannon is mounted so that it can recoil

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs ISBN: 9781938168000 42

Solution for problem 47PE Chapter 8

College Physics | 1st Edition

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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

College Physics | 1st Edition

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Problem 47PE

 Problem 47PE

A 3000-kg cannon is mounted so that it can recoil only in the horizontal direction. (a) Calculate its recoil velocity when it fires a 15.0-kg shell at 480 m/s at an angle of 20.0º above the horizontal. (b) What is the kinetic energy of the cannon? This energy is dissipated as heat transfer in shock absorbers that stop its recoil. (c) What happens to the vertical component of momentum that is imparted to the cannon when it is fired?

Step-by-Step Solution:

Solution to  47PE

Step 1 of 5</p>

We need to calculate the recoil velocity of a 3000kg canon which can recoil only on horizontal direction. We have to find the kinetic energy of the canon and we have to comment on the vertical component of momentum when the shell is fired.

According to the conservation of momentum, the net change in momentum is zero,

 is the initial momentum of canon

 is the initial momentum of shell

 final momentum of canon

 final momentum of shell.

Free body diagram:

Step 2 of 5</p>

Given data:

Mass of the canon

Mass of the shell

Velocity of canon

Angle in which the shell is fired,

Velocity of the shell initially

Recoil velocity

Velocity of the shell finally,

Step 3 of 5</p>We need to find the recoil velocity of the canon

From the free body diagram, we need to resolve velocity vector of the shell.

Horizontal component,

Vertical component,

Applying the conservation of momentum and substitute the given values,

For horizontal direction,

Thus the recoil velocity of the canon is given as

Step 4 of 5

Chapter 8, Problem 47PE is Solved
Step 5 of 5

Textbook: College Physics
Edition: 1
Author: Paul Peter Urone, Roger Hinrichs
ISBN: 9781938168000

This full solution covers the following key subjects: recoil, cannon, its, horizontal, Energy. This expansive textbook survival guide covers 34 chapters, and 3125 solutions. This textbook survival guide was created for the textbook: College Physics , edition: 1. Since the solution to 47PE from 8 chapter was answered, more than 1297 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 47PE from chapter: 8 was answered by , our top Physics solution expert on 07/07/17, 04:39PM. The answer to “A 3000-kg cannon is mounted so that it can recoil only in the horizontal direction. (a) Calculate its recoil velocity when it fires a 15.0-kg shell at 480 m/s at an angle of 20.0º above the horizontal. (b) What is the kinetic energy of the cannon? This energy is dissipated as heat transfer in shock absorbers that stop its recoil. (c) What happens to the vertical component of momentum that is imparted to the cannon when it is fired?” is broken down into a number of easy to follow steps, and 79 words. College Physics was written by and is associated to the ISBN: 9781938168000.

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