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 wwwwww (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.)

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 wwwwww (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.)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter8: Momentum And Collisions

Section: Chapter Questions

Problem 60P: A cannon is rigidly attached to a carriage, which can move along horizontal rails but is connected...

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Question

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
www
(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

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Step 2: Use law of conservation of momentum along +x-axis to find the recoil speed

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Step 3: Use law of conservation of energy to find the maximum extension

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Step 4: Use Hook's law to find the magnitude of the maximum force

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