(3) This problem deals with a method for measuring the muzzle velocity of a rifle. A rifle with unknown muzzle velocity vo fires a bullet with mass m into a large block of wood with mass M that is sitting on a horizontal surface. The velocity of the block right after the (inelastic) collision is v. The block then slides a distance d along the surface and comes to a stop. The coefficient of kinetic friction between the block of wood and the surface is μlk. (a) Use conservation of momentum (during the collision) and the work-energy theorem (after the collision) to show that the muzzle velocity of the rifle is given by: , = (m² + M) √√2 μgd m (b) Calculate the muzzle velocity of the rifle if m= 5.00 g, M = 1.20 kg, d = 14.6 cm, and μ = 0.56. [answer: vo= 305 m/s]

(3) This problem deals with a method for measuring the muzzle velocity of a rifle. A rifle with unknown muzzle velocity vo fires a bullet with mass m into a large block of wood with mass M that is sitting on a horizontal surface. The velocity of the block right after the (inelastic) collision is v. The block then slides a distance d along the surface and comes to a stop. The coefficient of kinetic friction between the block of wood and the surface is μlk. (a) Use conservation of momentum (during the collision) and the work-energy theorem (after the collision) to show that the muzzle velocity of the rifle is given by: , = (m² + M) √√2 μgd m (b) Calculate the muzzle velocity of the rifle if m= 5.00 g, M = 1.20 kg, d = 14.6 cm, and μ = 0.56. [answer: vo= 305 m/s]

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Description: (3) This problem deals with a method for measuring the muzzle velocity of a rifle. A rifle with unknownmuzzle velocity vo fires a bullet with mass m into a large block of wood with mass M that is sitting on ahorizontal surface. The velocity of the b

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

(3) This problem deals with a method for measuring the muzzle velocity of a rifle. A rifle with unknown
muzzle velocity vo fires a bullet with mass m into a large block of wood with mass M that is sitting on a
horizontal surface. The velocity of the block right after the (inelastic) collision is v. The block then slides
a distance d along the surface and comes to a stop. The coefficient of kinetic friction between the block of
wood and the surface is μk.
(a) Use conservation of momentum (during the collision) and the work-energy theorem (after the collision)
to show that the muzzle velocity of the rifle is given by:
20
=
(m + M) √2 µx8d
m
(b) Calculate the muzzle velocity of the rifle if m= 5.00 g. M = 1.20 kg. d = 14.6 cm, and µ = 0.56.
[answer: vo = 305 m/s]

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