To reduce recoil, many modern rifles are equipped with a recoil mechanism. That is, the portion of the rifle which acts acts against the force of the expanding gases which propels the bullet is allowed to slide in a carriage relative to the rest of the gun. Let's say this carriage has a mass of 1.5 kg and is allowed to slide over a distance of 25 cm. The bullet being fired has a mass of 15 g and a muzzle velocity of 500 m/s. (a) (b) (c) (d) Recuperator Bolted to guide rail Slides along with guide rails Recoil Oil Air Bolted to cradle No movement What is the recoil velocity of the carriage? [Hint: you will use either energy conservation or momentum conservation. Which of these will you use?] What is the average force acting to stop the carriage? The user would feel this force on their shoulder. [Hint: use the work-energy theorem If the force stopping it is due to a spring, what is the spring constant of the spring? What is the maximum force this spring exerts? The user would feel this force on their shoulder. (e) Now let's see what it would be like without the recoil mechanism. If the barrel of the rifle is 50 cm, what is the average force the expanding gases exert on the bullet? Without the recoil mechanism, the user would feel this full force on their shoulder.
To reduce recoil, many modern rifles are equipped with a recoil mechanism. That is, the portion of the rifle which acts acts against the force of the expanding gases which propels the bullet is allowed to slide in a carriage relative to the rest of the gun. Let's say this carriage has a mass of 1.5 kg and is allowed to slide over a distance of 25 cm. The bullet being fired has a mass of 15 g and a muzzle velocity of 500 m/s. (a) (b) (c) (d) Recuperator Bolted to guide rail Slides along with guide rails Recoil Oil Air Bolted to cradle No movement What is the recoil velocity of the carriage? [Hint: you will use either energy conservation or momentum conservation. Which of these will you use?] What is the average force acting to stop the carriage? The user would feel this force on their shoulder. [Hint: use the work-energy theorem If the force stopping it is due to a spring, what is the spring constant of the spring? What is the maximum force this spring exerts? The user would feel this force on their shoulder. (e) Now let's see what it would be like without the recoil mechanism. If the barrel of the rifle is 50 cm, what is the average force the expanding gases exert on the bullet? Without the recoil mechanism, the user would feel this full force on their shoulder.
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Author:Raymond A. Serway, Chris Vuille
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To reduce recoil, many modern rifles are equipped with a recoil mechanism. That is, the portion of
the rifle which acts acts against the force of the expanding gases which propels the bullet is allowed to slide in a
carriage relative to the rest of the gun. Let's say this carriage has a mass of 1.5 kg and is allowed to slide over a
distance of 25 cm. The bullet being fired has a mass of 15 g and a muzzle velocity of 500 m/s.
Recuperator Recoil
(a)
(b)
(c)
(d)
Bolted
to guide
rail
Slides along with
guide rails
Oil
Air
Bolted
to cradle
No movement
What is the recoil velocity of the carriage? (Hint: you will use either energy conservation or
momentum conservation. Which of these will you use?]
What is the average force acting to stop the carriage? The user would feel this force on their
shoulder. [Hint: use the work-energy theorem
If the force stopping it is due to a spring, what is the spring constant of the spring?
What is the maximum force this spring exerts? The user would feel this force on their shoulder.
(e)
Now let's see what it would be like without the recoil mechanism. If the barrel of the rifle is 50
cm, what is the average force the expanding gases exert on the bullet? Without the recoil mechanism, the
user would feel this full force on their shoulder.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff16a1204-7c3a-4ab6-b6ef-0384b8d9e82e%2Ff64d1f14-120a-4e6d-90f4-5fd3f9e9d87a%2Fvezygz7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4.
To reduce recoil, many modern rifles are equipped with a recoil mechanism. That is, the portion of
the rifle which acts acts against the force of the expanding gases which propels the bullet is allowed to slide in a
carriage relative to the rest of the gun. Let's say this carriage has a mass of 1.5 kg and is allowed to slide over a
distance of 25 cm. The bullet being fired has a mass of 15 g and a muzzle velocity of 500 m/s.
Recuperator Recoil
(a)
(b)
(c)
(d)
Bolted
to guide
rail
Slides along with
guide rails
Oil
Air
Bolted
to cradle
No movement
What is the recoil velocity of the carriage? (Hint: you will use either energy conservation or
momentum conservation. Which of these will you use?]
What is the average force acting to stop the carriage? The user would feel this force on their
shoulder. [Hint: use the work-energy theorem
If the force stopping it is due to a spring, what is the spring constant of the spring?
What is the maximum force this spring exerts? The user would feel this force on their shoulder.
(e)
Now let's see what it would be like without the recoil mechanism. If the barrel of the rifle is 50
cm, what is the average force the expanding gases exert on the bullet? Without the recoil mechanism, the
user would feel this full force on their shoulder.
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Step 1: Determine the given data:
VIEWStep 2: a) Recoil velocity of carriege
VIEWStep 3: b) Determine the average force acting to stop the carriege:
VIEWStep 4: c) Determine the spring constant:
VIEWStep 5: d) Calculate maximum force of spring:
VIEWStep 6: e) Calculate the average force of expanding gas:
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