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 v Correct Part C Muzzle Velocity |(ft/s) 1667 You want the maximum compression of the spring to be 0.23 m. What must be the force constant of the spring? Bullet Mass (grains) 80 Bullet ID Туре Express your answer with the appropriate units. A 38Spec Glaser Blue B 38 Spec Federal 945 k= 87 125 44Spec Remington 240 851 D Previous Answers 44Spec Winchester 200 819 Submit E .45ACP Glaser Blue 140 1355 v Correct • Part D For the bullet that produces the minimum spring compression, what is the compression d if the spring has the force constant calculated in part C? Express your answer with the appropriate units. HẢ Value cm

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 v Correct Part C Muzzle Velocity |(ft/s) 1667 You want the maximum compression of the spring to be 0.23 m. What must be the force constant of the spring? Bullet Mass (grains) 80 Bullet ID Туре Express your answer with the appropriate units. A 38Spec Glaser Blue B 38 Spec Federal 945 k= 87 125 44Spec Remington 240 851 D Previous Answers 44Spec Winchester 200 819 Submit E .45ACP Glaser Blue 140 1355 v Correct • Part D For the bullet that produces the minimum spring compression, what is the compression d if the spring has the force constant calculated in part C? Express your answer with the appropriate units. HẢ Value cm

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3B. A 0.300 kg mass is initially held at rest against a compressed spring with a spring constant of 500 N/m. The system is situated such that the mass is on a frictionless, horizontal surface and the spring acts parallel to the surface. a) If the mass leaves the spring with a speed of 20.0 m/s, by how much was the spring initially compressed? b) What is the speed of the mass when the spring is halfway back to its equilibrium position?
A bullet of mass m=5g moving with an initial speed 400m/s of 400 m/s is fired into and passes through a M=1 kg block, as in Figure. The block, initially at rest on frictionless, horizontal surface is connected to a 5.00cm! spring of force constant k=900 N/m. If the block moves d= 5 cm to the right after impact and the object stops. What is the speed of block at which the bullet emerges from it? 1,5 m/s 200 m/s 2 m/s 100 m/s 150 m/s
A 5.00-g bullet moving with an initial speed of v0 = 430 m/s is fired into and passes through a 1.00-kg block, as in the figure below. The block, initially at rest on a frictionless horizontal surface, is connected to a spring with a spring constant of 910 N/m. (a) If the block moves 5.00 cm to the right after impact, find the speed at which the bullet emerges from the block. m/s(b) If the block moves 5.00 cm to the right after impact, find the mechanical energy lost in the collision. J
You have been asked to design a "ballistic spring system" to measure the speed of bullets. A spring whose spring constant is k is suspended from the ceiling. A block of mass M hangs from the spring. A bullet of mass m is fired vertically upward into the bottom of the block and stops in the block. The spring's maximum compression d is measured. a. Find an expression for the bullet's speed v in terms of m, M, k, and d. b. What was the speed of a 10 g bullet if the block's mass is 2.0 kg and if the spring, with k = 50 N/m, was compressed by 45 cm?
explanation
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
Choose the correct answer choice. Answer must be in scientific notation with SI units that do not have prefixes except for kg. (m/s NOT cm/s). Answer must be in standard scientific notation
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