(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]

Name: (3) This problem deals with a method for measuring the muzzle velocit
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
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)...

See similar textbooks

Similar questions

Two identical pucks collide on an air hockey table. One puck starts at rest. The incoming puck has a speed of 6.00 m/s and scatters to an angle of 30.0º. Use the fact that Θ1 – Θ2 = 90º for elastic collisions of objects that have identical masses — in other words, the pucks move apart at a right angle. (a) Sketch the collision, with angles labeled. (b) What is the velocity (magnitude and direction) of the second puck after it is struck?
Two masses approach each other and make a head-on, completely elasticcollision. The system is isolated from any external forces during impact. The initialspeeds are u 1 = 2.00 m/s and u2 = 4.00 m/s, and the mass values are m1 = 0.500 kg and m2 = 3.00 kg. (a) Find the total momentum of the system before the collision. (b) What is the velocity of particle 1 relative to particle 2 before the collision? (c) Determine the velocities of particle 1 and (d) particle 2 after the collision. (e) What impulse acted on particle 1 during the collision?
A block with mass M = 5.60 kg is sliding in the positive x-direction at Vi = 8.00 m/s on a frictionless surface when it collides elastically in one dimension with a stationary block with mass m = 1.30 kg. Determine the velocities, Vf and vf, of the objects after the collision. Vf = ? vf = ?
A 4.8 kg block with a speed of 3.9 m/s collides with a 9.6 kg block that has a speed of 2.6 m/s in the same direction. After the collision, the 9.6 kg block is observed to be traveling in the original direction with a speed of 3.3 m/s. (a) What is the velocity of the 4.8 kg block immediately after the collision? (b) collision? (c) Suppose, instead, that the 9.6 kg block ends up with a speed of 5.2 m/s. What then is the change in the total kinetic energy? how much does the total kinetic energy of the system of two blocks change because of the (a) Number i Units (b) Number i Units (c) Number i Units
Mass A is initially moving with some unknown velocity in the +x-direction. Mass B is twice as massive as mass A and initially at rest. The two objects collide, and after the collision, they move together with a speed of 6 m/s in the +x-direction. (a) Is this collision elastic or inelastic? Explain. (b) Determine the initial velocity of mass A.
The drawing shows a collision between two small balls. Ball (1) has a mass of 140 g and is moving along the x-axis with a velocity of 4.60 m/s. It makes a collision with ball (2), which has a mass of 210 g and is initially at rest. After the 60°). What is the magnitude of %D collision, the two balls fly apart with angles as shown in the figure below (a = 58° and B the velocity of ball (2) after the collision? m/s +y m2 m1 +x
Car A and Car B are traveling in the same direction (call it i^), with B behind A, and initial speeds vA=5.6 m/s, and vB = 6 m/s. The cars have identical mass m=103 kg, and they experience an elastic collision. Now, this collision is observed by a third person traveling in a car with constant velocity v=6 m/s, traveling in the same direction as the two cars. From the point of view of this person calculate the following: 1)The initial momentum of car A. 2)The initial momentum of car B. 3)The final momentum of car A (you might want to first calculate the final velocity of car A relative to the ground). 4)The final momentum of car B (you might want to first calculate the final velocity of car B relative to the ground). 5)The total final kinetic energy: 6)The total final kinetic energy as measured from the ground. 7)Based on the previous answers and your calculations of the total initial kinetic energy, does the third person conclude that the collision is:
A 3.1 kg block with a speed of 4.2 m/s collides with a 6.2 kg block that has a speed of 2.8 m/s in the same direction. After the collision, the 6.2 kg block is observed to be traveling in the original direction with a speed of 3.5 m/s. (a) What is the velocity of the 3.1 kg block immediately after the collision? (b) By how much does the total kinetic energy of the system of two blocks change because of the collision? (c) Suppose, instead, that the 6.2 kg block ends up with a speed of 5.6 m/s. What then is the change in the total kinetic energy? (a) Number Units (b) Number Units (c) Number i Units
Consider two hockey pucks, each with mass 1.25 kg, on frictionless ice. Puck A is initially moving due east at 2.35 m/s towards puck B, which is initially stationary. The pucks collide head on. After the collision, puck B moves east with a speed of 1.45 m/s. (a) What is puck A's speed (in m/s) after collision? What direction is it moving in? (b) How much kinetic energy (in Joules) is lost from the system during the collision? (c) If the collision were completely elastic, what would the final speed and direction of each puck be?
Two blocks are sliding on a horizontal frictionless surface with velocities shown in the sketch. Block A has mass 0.500 kg and block B has mass 0.650 kg. The two blocks have a perfectly inelastic collision and stick together after the collision. (a) What is the speed of the combined blocks after the collision? (b) What angle does the velocity of the combined blocks make with the +x -axis after the collision? (in ° counterclockwise from the +x-axis)(c) What is the magnitude of the decrease in kinetic energy of the system of two blocks due to the collision?
A block with mass M = 6.05 kg is sliding in the positive x-direction at Vi = 8.95 m/s on a frictionless surface when it collides elastically in one dimension with a stationary block with mass m = 1.30 kg. Determine the velocities, Vf and vf, of the objects after the collision. Vf = ? m/s vf = ? m/s
A cue ball of mass m1 = 0.305 kg is shot at another billiard ball, with mass m2 = 0.595 kg, which is at rest. The cue ball has an initial speed of v = 7.5 m/s in the positive direction. Assume that the collision is elastic and exactly head-on. Write an expression for the horizontal component of the billiard ball's velocity, v2f, after the collision, in terms of the other variables of the problem. What is this velocity, in meters per second? Write an expression for the horizontal component of the cue ball's velocity, v1f, after the collision. What is the horizontal component of the cue ball's final velocity, in meters per second?