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Chapter 8, Problem 14

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QUESTION:

Problem 14PE

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-kg plunger that directly interacts with a 0.0200-kg bullet fired at 600 m/s from the gun. (b) If this part is stopped over a distance of 20.0 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 ms (milliseconds).

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QUESTION:

Problem 14PE

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-kg plunger that directly interacts with a 0.0200-kg bullet fired at 600 m/s from the gun. (b) If this part is stopped over a distance of 20.0 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 ms (milliseconds).

ANSWER:

Solution

Step 1

        a) We need to find out the recoil velocity of the plunger.

            From conservation of momentum

                                    ......(1)

            Mass of the plunger                    

            Mass of the bullet                         

            Initial velocity of the plunger         

            Initial velocity of the bullet         

            final velocity of the bullet                 

            Final velocity of the plunger is nothing but the recoil velocity.

            From equation (1)

                                

                                

                                

            The recoil velocity of the plunger is

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