You want the maximum compression of the spring to be 0.23 m. What must be the force constant of the spring? Express your answer with the appropriate units. μÀ ? k= Value Units

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Chapter1: Units, Trigonometry. And Vectors
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You want the maximum compression of the spring to be 0.23 m. What must be the force constant of the spring?
Express your answer with the appropriate units.
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Transcribed Image Text:You want the maximum compression of the spring to be 0.23 m. What must be the force constant of the spring? Express your answer with the appropriate units. μÅ www ? k= Units ☐☐ Value
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 kg 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 d. 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 mg.
Bullet Mass
Bullet ID
Type
Muzzle Velocity
(ft/s)
(grains)
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
Transcribed Image Text: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 kg 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 d. 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 mg. Bullet Mass Bullet ID Type Muzzle Velocity (ft/s) (grains) 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
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