(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]
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter6: Momentum, Impulse, And Collisions
Section: Chapter Questions
Problem 45P: A tennis ball of mass 57.0 g is held just above a basketball of mass 590 g. With their centers...
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