EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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(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.
(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]
Two blocks of masses m, and m, approach each other on a horizontal table with the same constant speed, vo, as measured by a laboratory observer. The blocks undergo a perfectly elastic collision, and it is
observed that m, stops but m, moves opposite Its original motion with some constant speed, v.
(a) Determine the ratio of the two masses, m,/m,
(b) What is the ratio of their speeds, v/v?
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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Similar questions
- In an elastic collision of two particles with masses m1 and m2, the initial velocities are u1 and u2 = u1. If the initial kinetic energies of the two particles are equal, find the conditions on u1/u2 and m1/m2 such that m1 is at rest after the collision. Examine both cases for the sign of .arrow_forwardCheck 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_forwardA 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_forward
- Check 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 head-on, elastic collision occurs between two billiard balls of equal mass. If a red ball is traveling to the right with speed v and a blue ball is traveling to the left with speed 3v before the collision, what statement is true concerning their velocities subsequent to the collision? Neglect any effects of spin. (a) The red ball travels to the left with speed v, while the blue ball travels to the right with speed 3v. (b) The red ball travels to the left with speed v, while the blue ball continues to move to the left with a speed 2v. (c) The red ball travels to the left with speed 3v, while the blue ball travels to the right with speed v. (d) Their final velocities cannot be determined because momentum is not conserved in the collision. (e) The velocities cannot be determined without knowing the mass of each ball.arrow_forwardWhat is the average momentum of an avalanche that moves a 40-cm-thick layer of snow over an area of 100 m by 500 m over a distance of 1 km down a hill in 5.5 s? Assume a density of 350kg/m3 for the snow.arrow_forward
- When two objects collide, the impulse exerted on object 1 by object 2 is equal in magnitude and opposite and direction to the impulse exerted on object 2 by object 1: I[1on2]=I[2on1](11.8) And the change in their momenta is given by: p1=p2(11.9) Which of Newtons three laws justifies these two equations?arrow_forwardA 2000-kg railway freight car coasts at 4.4 m/s underneath a grain terminal, which dumps grain directly down into the freight car. If the speed of the loaded freight car must not go below 3.0 m/s, what is the maximum mass of grain that it can accept?arrow_forwardA hockey puck of mass 150 g is sliding due east on a frictionless table with a speed of 10 m/s. Suddenly, a constant force of magnitude 5 N and direction due north is applied to the puck for 1.5 s. Find the north and east components of the momentum at the end of the 1.3-s interval.arrow_forward
- A 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_forwardWhich has a larger magnitude of momentum: a 3000-kg elephant moving at 40 km/h or a 60-kg cheetah moving at 112 km/h?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
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