(a) What is the recoil velocity of the carriage? 

(b)  What is the average force acting to stop the carriage? 

 (c)  If the force stopping it is due to a spring, what is the spring constant of the spring?

 (d)  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.

Transcribed Image Text:

(20 points) 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. Recuperat Recu OL Bolted to gde Slides along with gode mails A Boited to cradle No movement (20 points) 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. Recuperat Recu OL Bolted to gde Slides along with gode mails A Boited to cradle No movement

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