In your job in a police lab, you must design an apparatus to measure the muzzle velocities of bullets fired from handguns. Your solution is to attach a 2.00 kgkg wood block that rests on a horizontal surface to a light horizontal spring. The other end of the spring is attached to a wall. Initially the spring is at its equilibrium length. A bullet is fired horizontally into the block and remains embedded in it. After the bullet strikes the block, the block compresses the spring a maximum distance dd. You have measured that the coefficient of kinetic friction between the block and the horizontal surface is 0.38. The table below lists some firearms that you will test. A grain is a unit of mass equal to 64.80 mgmg. Bullet ID Type Bullet Mass (grains) Muzzle Velocity (ft/sft/s) A .38Spec Glaser Blue 80 1667 B .38 Spec Federal 125 945 C .44Spec Remington 240 851 D .44Spec Winchester 200 819 E .45ACP Glaser Blue 140 1355 a)Of bullets AA through EE, which will produce the maximum compression of the spring? b)Of bullets AA through EE, which will produce the minimum compression of the spring? c) You want the maximum compression of the spring to be 0.30 mm. What must be the force constant of the spring? Express your answer with the appropriate units.

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 57P: A 5.00-g bullet moving with an initial speed of v = 400 m/s is fired into and passes through a...

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In your job in a police lab, you must design an apparatus to measure the muzzle velocities of bullets fired from handguns. Your solution is to attach a 2.00 kgkg wood block that rests on a horizontal surface to a light horizontal spring. The other end of the spring is attached to a wall. Initially the spring is at its equilibrium length. A bullet is fired horizontally into the block and remains embedded in it. After the bullet strikes the block, the block compresses the spring a maximum distance dd. You have measured that the coefficient of kinetic friction between the block and the horizontal surface is 0.38. The table below lists some firearms that you will test. A grain is a unit of mass equal to 64.80 mgmg.

Bullet ID	Type	Bullet Mass (grains)	Muzzle Velocity (ft/sft/s)
A	.38Spec Glaser Blue	80	1667
B	.38 Spec Federal	125	945
C	.44Spec Remington	240	851
D	.44Spec Winchester	200	819
E	.45ACP Glaser Blue	140	1355

a)Of bullets AA through EE, which will produce the maximum compression of the spring?

b)Of bullets AA through EE, which will produce the minimum compression of the spring?

You want the maximum compression of the spring to be 0.30 mm. What must be the force constant of the spring?

Express your answer with the appropriate units.

For the bullet that produces the minimum spring compression, what is the compression dd if the spring has the force constant calculated in part C?

Express your answer with the appropriate units.

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