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Problem 14 Medium Difficulty

Professional Application
Military rifles have a mechanism for reducing the recoil forces of the gun on the person firing it. An internal part recoils over a relatively large distance and is stopped by damping mechanisms in the gun. The larger distance reduces the average force needed to stop the internal part. (a) Calculate the recoil velocity of a $1.00-\mathrm{kg}$ plunger that directly interacts with a $0.0200-\mathrm{kg}$ bullet fired at 600 $\mathrm{m} / \mathrm{s}$ from the gun. (b) If this part is stopped over a distance of $20.0 \mathrm{cm},$ what average force is exerted upon it by the gun? (c) Compare this to the force exerted on the gun if the bullet is accelerated to its velocity in 10.0 $\mathrm{ms}$ (milliseconds).

Answer

(a) $v _ { \mathrm { p } } = - 12.0 \mathrm { ms } ^ { - 1 }$
(b) $F = 360 \mathrm { N }$
(c) $\mathrm { F } ^ { + } = 3.33 \mathrm { F }$

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Physics 101 Mechanics

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Chapter 8

Linear Momentum and Collisions

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Video Transcript

and this time we ask properly. The recoil blossom on a plunger, which is one kilogram that it's interacting with these bullets of mass, probably at a velocity of 600 meters per second. So you just temples. Their impulses are changing momentum. Now these bullets is one to exert a horse on this plunger, which is going to be equal and opposite. So the change in moments with a bullet will be equal to change momentum off the lunch. So we could say that the change momentum of the bullet we'll call to is equal to be backwards changing moments. Um, but the plunger. So use NASA bullets assume initial velocity is zero final velocity. It's hungry. Same thing. Initial losses. Zero velocity. That's what I'm here and I get a negative 12 meters per second. That just helps a setting for left so 12 meters per second of our velocity for a lesson. So using that reasoning, it asks us to calculate the force inserted on the plunger by the guns so we can use our sports over changing distance with which is a work energy function, and this force over are changing distance is four to equal toward changing committed energy. So this is our final kinetic energy. But it's our initial kinetic energy and this is a plunger divided by our distance of 20 centimeters. Look, their 200.2 meters. Is this a force of 360 mutants acting on the plunder? Now, if we were to compare that to the force, if there was a plunger, which would be the immediate force given to us by the bullets we consult with once the bullet went back to temples So earlier we said 0.2 600 divided by now are near time interval time. Terrible that they gave us 10 milliseconds, which is 10 hunts tends to make it three seconds hips and state courts of 1200 out that 100. We experience a 12 of course.

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