Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 8, Problem 60P
A cannon is rigidly attached to a carriage, which can move along horizontal rails but is connected to a post by a large spring, initially unstretchcd and with force constant k = 2.00 × 104 N/m, as shown in Figure P8.60. The cannon fires a 200-kg projectile at a velocity of 125 m/s directed 45.0° above the horizontal. (a) Assuming that the mass of the cannon and its carriage is 5 000 kg, find the recoil speed of the cannon. (b) Determine the maximum extension of the spring. (c) Find the maximum force the spring exerts on the carriage. (d) Consider the system consisting of the cannon, carriage, and projectile. Is the momentum of this system conserved during the firing? Why or why not?
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A cannon is rigidly attached to a carriage, which can move along horizontal rails, but is connected to a post by a large spring, initially unstretched and with force constant k = 2.00 × 104 N/m, as in Figure P6.67. The cannon fires a 200-kg projectile at a velocity of 125 m/s directed 45.0° above the horizontal. (a) If the mass of the cannon and its carriage is 5 000 kg, find the recoil speed of the cannon. (b) Determine the maximum extension of the spring. (c) Find the maximum force the spring exerts on the carriage. (d) Consider the system consisting of the cannon, the carriage, and the shell. Is the momentum of this system conserved during the firing? Why or why not?
A cannon is rigidly attached to a carriage, which can move along horizontal rails, but is connected to a post by a large spring, initially
unstretched and with force constant k = 2.39 x 104 N/m, as in the figure below. The cannon fires a 200-kg projectile at a velocity of
132 m/s directed 45.0° above the horizontal.
45.0⁰
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(a) If the mass of the cannon and its carriage is 5000 kg, find the recoil speed of the cannon.
m/s
(b) Determine the maximum extension of the spring.
m
(c) Find the maximum force the spring exerts on the carriage. (Enter the magnitude of the force.)
N
Chapter 8 Solutions
Principles of Physics: A Calculus-Based Text
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