EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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(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]
A body weighing 2 kg moves with a velocity of 3 m/s and overtakes another body weighing 3 kg moving at 1 m/s. Find the velocities of the bodies after collision if: (1) the impact is inelastic, (2) the impact is elastic. The bodies move in a straight line and the impact is central.
(c) A 2 kg block is moving at a speed of 10 m/s and makes a perfectly
elastic collision with a second block of mass M, which is initially at
rest. After the collision, the 2 kg block bounces straight back at 3
m/s. (a) Determine the mass M of the second block. (b) Determine
the speed of the second block after the collision.
Chapter 9 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 9.1 - Prob. 1AECh. 9.1 - Light carries momentum, so if a light beam strikes...Ch. 9.2 - In Example 93, what result would you get if (a)...Ch. 9.2 - Prob. 1DECh. 9.2 - Return to the Chapter-Opening Questions, page 214,...Ch. 9.8 - Calculate the CM of the three people in Example...Ch. 9.8 - Prob. 1GECh. 9.9 - A woman stands up in a rowboat and walks from one...Ch. 9 - We claim that momentum is conserved. Yet most...Ch. 9 - A light object and a heavy object have the same...
Ch. 9 - When a person jumps from a tree to the ground,...Ch. 9 - Prob. 4QCh. 9 - Explain, on the basis of conservation of momentum,...Ch. 9 - Prob. 6QCh. 9 - If a falling ball were to make a perfectly elastic...Ch. 9 - Prob. 8QCh. 9 - It is said that in ancient times a rich man with a...Ch. 9 - The speed of a tennis ball on the return of a...Ch. 9 - Is it possible for an object to receive a larger...Ch. 9 - How could a force give zero impulse over a nonzero...Ch. 9 - In a collision between two cars, which would you...Ch. 9 - Prob. 14QCh. 9 - Prob. 15QCh. 9 - At a hydroelectric power plant, water is directed...Ch. 9 - A squash hall hits a wall at a 45 angle as shown...Ch. 9 - Prob. 18QCh. 9 - Why can a batter hit a pitched baseball farther...Ch. 9 - If a 20-passenger plane is not full, sometimes...Ch. 9 - Prob. 21QCh. 9 - Why is the CM of a 1-m length of pipe at its...Ch. 9 - Describe an analytic way of determining the CM of...Ch. 9 - Prob. 24QCh. 9 - Bob and Jim decide to play tug-of-war on a...Ch. 9 - Prob. 26QCh. 9 - Prob. 27QCh. 9 - Prob. 28QCh. 9 - Prob. 29QCh. 9 - Prob. 30QCh. 9 - At a carnival game you try to knock over a heavy...Ch. 9 - Prob. 1MCQCh. 9 - Prob. 3MCQCh. 9 - Prob. 4MCQCh. 9 - Prob. 5MCQCh. 9 - Prob. 6MCQCh. 9 - Prob. 7MCQCh. 9 - Prob. 8MCQCh. 9 - Prob. 9MCQCh. 9 - Prob. 10MCQCh. 9 - Prob. 11MCQCh. 9 - Prob. 12MCQCh. 9 - Prob. 13MCQCh. 9 - Prob. 1PCh. 9 - Prob. 2PCh. 9 - Prob. 3PCh. 9 - Prob. 4PCh. 9 - Prob. 5PCh. 9 - Prob. 6PCh. 9 - Prob. 7PCh. 9 - Prob. 8PCh. 9 - Prob. 9PCh. 9 - Prob. 10PCh. 9 - Prob. 11PCh. 9 - Prob. 13PCh. 9 - Prob. 14PCh. 9 - Prob. 15PCh. 9 - Prob. 16PCh. 9 - Prob. 17PCh. 9 - Prob. 18PCh. 9 - Prob. 19PCh. 9 - Prob. 20PCh. 9 - Prob. 21PCh. 9 - Prob. 22PCh. 9 - (II) Suppose the force acting on a tennis hall...Ch. 9 - (II) The force on a bullet is given by the formula...Ch. 9 - (II) (a) A molecule of mass m and speed v strikes...Ch. 9 - Prob. 26PCh. 9 - Prob. 27PCh. 9 - Prob. 28PCh. 9 - Prob. 29PCh. 9 - Prob. 30PCh. 9 - Prob. 31PCh. 9 - Prob. 32PCh. 9 - Prob. 33PCh. 9 - Prob. 34PCh. 9 - Prob. 35PCh. 9 - Prob. 36PCh. 9 - (I) In a ballistic pendulum experiment, projectile...Ch. 9 - Prob. 38PCh. 9 - Prob. 39PCh. 9 - Prob. 40PCh. 9 - Prob. 41PCh. 9 - Prob. 42PCh. 9 - Prob. 43PCh. 9 - Prob. 44PCh. 9 - Prob. 45PCh. 9 - Prob. 46PCh. 9 - Prob. 47PCh. 9 - Prob. 48PCh. 9 - Prob. 49PCh. 9 - (II) A neutron collides elastically with a helium...Ch. 9 - Prob. 51PCh. 9 - (III) A neon atom (m = 20.0 u) makes a perfectly...Ch. 9 - Prob. 53PCh. 9 - (I) The distance between a carbon atom (m = 12 u)...Ch. 9 - Prob. 55PCh. 9 - Prob. 56PCh. 9 - (II) Three cubes, of side l0,2l0, and 3l0 are...Ch. 9 - Prob. 58PCh. 9 - Prob. 59PCh. 9 - Prob. 60PCh. 9 - Prob. 61PCh. 9 - Prob. 62PCh. 9 - Prob. 63PCh. 9 - (III) Determine the CM of a uniform pyramid that...Ch. 9 - (II) The masses of the Earth and Moon are 5.98 ...Ch. 9 - Prob. 66PCh. 9 - Prob. 67PCh. 9 - Prob. 68PCh. 9 - Prob. 69PCh. 9 - Prob. 70PCh. 9 - Prob. 71PCh. 9 - Prob. 72PCh. 9 - Prob. 73PCh. 9 - Prob. 74PCh. 9 - Prob. 76PCh. 9 - Prob. 77GPCh. 9 - Prob. 78GPCh. 9 - Prob. 79GPCh. 9 - Prob. 80GPCh. 9 - Prob. 81GPCh. 9 - Prob. 82GPCh. 9 - Prob. 83GPCh. 9 - Prob. 84GPCh. 9 - Prob. 85GPCh. 9 - Prob. 86GPCh. 9 - Prob. 88GPCh. 9 - Prob. 92GPCh. 9 - Prob. 94GPCh. 9 - Prob. 95GPCh. 9 - Prob. 96GPCh. 9 - Prob. 97GPCh. 9 - A massless spring with spring constant k is placed...Ch. 9 - Prob. 99GPCh. 9 - The gravitational slingshot effect. Figure 955...Ch. 9 - Prob. 101GPCh. 9 - Prob. 102GPCh. 9 - Prob. 103GPCh. 9 - Prob. 104GP
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- Check Your Understanding Would the ball’s change of momentum have been larger, smaller, or the same, if it had collided with the floor and stopped (without bouncing)? Would the ball’s change of momentum have been larger, smaller, or the same, if it had collided with the floor and stopped (without bouncing)?arrow_forwardCheck Your Understanding Suppose the initial velocities were not at right angles to each other. How would this change both the physical result and the mathematical analysis of the collision?arrow_forwardA 2-kg object moving to the right with a speed of 4 m/s makes a head-on, elastic collision with a 1-kg object that is initially at rest. The velocity of the 1-kg object after the collision is (a) greater than 4 m/s, (b) less than 4 m/s, (c) equal to 4 m/s, (d) zero, or (e) impossible to say based on the information provided.arrow_forward
- A projectile of mass 2.0 kg is fired in the air at an angle of 40.0 to the horizon at a speed of 50.0 m/s. At the highest point in its flight, the projectile breaks into three parts of mass 1.0 kg, 0.7 kg, and 0.3 kg. The 1.0-kg part falls straight down after breakup with an initial speed of 10.0 m/s, the 0.7-kg part moves in the original forward direction, and the 0.3-kg part goes straight up. Launch a. Find the speeds of the 0.3-kg and 0.7-kg pieces immediately after the break-up. b. How high from the break-up point does the 0.3-kg piece go before coming to rest? c. Where does the 0.7-kg piece land relative to where it was fired from?arrow_forwardTwo identical objects (such as billiard balls) have a one-dimensional collision in which one is initially motionless. After the collision, the moving object is stationary and the other moves with the same speed as the other originally had. Show that both momentum and kinetic energy are conserved.arrow_forwardA proton traveling at 3.0106m/s scatters elastically from an initially stationary alpha particle and is deflected at an angle of 85 with respect to its initial velocity. Given that the alpha particle has four times the mass of the proton, what percent of its initial kinetic energy does the proton retain after the collision?arrow_forward
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