University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 8, Problem 8.56E
At one instant, the center of mass of a system of two particles is located on the x-axis at x = 2.0 m and has a velocity of (5.0 m/s)î. One of the particles is at the origin. The other particle has a mass of 0.10 kg and is at rest on the x-axis at x = 8.0 m. (a) What is the mass of the particle at the origin? (b) Calculate the total momentum of this system. (c) What is the velocity of the I particle at the origin?
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Problem 3:
A particle with mass ma = 3.00 kg is located at ra = (2.50 i + 3.50 j) m, and a second particle of mass m2B = 5.00 kg is located at rB =
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A particle with mass mA = 3.00 kg is located at rA = (2.50 i + 3.50 j) m, and a second particle of mass m2B = 5.00 kg is located at rB = (1.50 i – 3.00 j) m. Find the location of the center of mass of the system relative to the point (1,1).
The Center of Mass of Three Particles
system consists of three particles located as shown in the figure. Find the center of mass of the system. The masses are
m, = m, = 1.0 kg and m, = 2.0 kg.
Two 1.0 kg particles are located on the x-axis,
and a single 2.0 kg particle is located on the
y-axis as shown. The vector indicates the location
of the system's center of mass.
у (m)
x (m)
3.
1
SOLUTION
Conceptualize The figure shows the three masses. Your intuition should tell you that the center of mass is located somewhere in
the region between the blue particle and the pair of tan particles as shown in the figure.
problem because we will be using the equations for the center of mass
Categorize We categorize this example as --Select---
developed in this section.
(For the next three answers, use the following as necessary: m,, m2, m3, Y1, Y2, Y3, X1, X2, and x3. Do not substitute numerical
values; use variables only.)
Use the defining equations for the coordinates of the center of mass and…
Chapter 8 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 8.1 - Rank the following situations according to the...Ch. 8.2 - A spring-loaded toy sits at rest on a horizontal,...Ch. 8.3 - For each situation, state whether the collision is...Ch. 8.4 - Prob. 8.4TYUCh. 8.5 - Will the center of mass in Fig. 8.32 continue on...Ch. 8.6 - (a) If a rocket in gravity-free outer space has...Ch. 8 - In splitting logs with a hammer and wedge, is a...Ch. 8 - Suppose you catch a baseball and then someone...Ch. 8 - When rain falls from the sky, what happens to its...Ch. 8 - A car has the same kinetic energy when it is...
Ch. 8 - A truck is accelerating as it speeds down the...Ch. 8 - (a) If the momentum of a single point object is...Ch. 8 - A woman holding a large rock stands on a...Ch. 8 - In Example 8.7 (Section 8.3), where the two...Ch. 8 - In a completely inelastic collision between two...Ch. 8 - Since for a particle the kinetic energy is given...Ch. 8 - In each of Examples 8.10, 8.11, and 8.12 (Section...Ch. 8 - A glass dropped on the floor is more likely to...Ch. 8 - In Fig. 8.23b, the kinetic energy of the Ping-Pong...Ch. 8 - A machine gun is fired at a steel plate. Is the...Ch. 8 - A net force of 4 N acts on an object initially at...Ch. 8 - A net force with x-component Fx acts on an object...Ch. 8 - A tennis player hits a tennis ball with a racket....Ch. 8 - Prob. 8.18DQCh. 8 - An egg is released from rest from the roof of a...Ch. 8 - A woman stands in the middle of a perfectly...Ch. 8 - At the highest point in its parabolic trajectory,...Ch. 8 - When an object breaks into two pieces (explosion,...Ch. 8 - An apple falls from a tree and feels no air...Ch. 8 - Two pieces of clay collide and stick together....Ch. 8 - Two objects of mass M and 5M are at rest on a...Ch. 8 - A very heavy SUV collides head-on with a very...Ch. 8 - (a) What is the magnitude of the momentum of a...Ch. 8 - In a certain track and field event, the shotput...Ch. 8 - Objects A, B, and C are moving as shown in Fig....Ch. 8 - Two vehicles are approaching an intersection. One...Ch. 8 - One 110-kg football lineman is running to the...Ch. 8 - BIO Biomechanics. The mass of a regulation tennis...Ch. 8 - Force of a Golf Swing. A 0.0450-kg golf ball...Ch. 8 - Force of a Baseball Swing. A baseball has mass...Ch. 8 - A 0.160-kg hockey puck is moving on an icy,...Ch. 8 - A bat strikes a 0.145-kg baseball. Just before...Ch. 8 - CALC At time t = 0 a 2150-kg rocket in outer space...Ch. 8 - BIO Bone Fracture. Experimental tests have shown...Ch. 8 - A 2.00-kg stone is sliding to the right on a...Ch. 8 - CALC Starting at t = 0, a horizontal net force F =...Ch. 8 - To warm up for a match, a tennis player hits the...Ch. 8 - A 68.5-kg astronaut is doing a repair in space on...Ch. 8 - The expanding gases that leave the muzzle of a...Ch. 8 - Two figure skaters, one weighing 625 N and the...Ch. 8 - BIO Animal Propulsion. Squids and octopuses propel...Ch. 8 - You are standing on a sheet of ice that covers the...Ch. 8 - On a frictionless. horizontal air table, puck A...Ch. 8 - When cars are equipped with flexible bumpers, they...Ch. 8 - Two identical 0.900-kg masses are pressed against...Ch. 8 - Block A in Fig. E8.24 has mass 1.00 kg, and block...Ch. 8 - A hunter on a frozen, essentially frictionless...Ch. 8 - An atomic nucleus suddenly bursts apart (fissions)...Ch. 8 - Two ice skaters. Daniel (mass 65.0 kg) and Rebecca...Ch. 8 - You are standing on a large sheet of frictionless...Ch. 8 - You (mass 55 kg) are riding a frictionless...Ch. 8 - An astronaut in space cannot use a conventional...Ch. 8 - Asteroid Collision. Two asteroids of equal mass in...Ch. 8 - Two skaters collide and grab on to each other on...Ch. 8 - A 15.0-kg fish swimming at 1.10 m/s suddenly...Ch. 8 - Two fun-loving otters are sliding toward each...Ch. 8 - Deep Impact Mission. In July 2005, NASAs Deep...Ch. 8 - A 1050-kg sports car is moving westbound at 15.0...Ch. 8 - On a very muddy football field, a 110-kg...Ch. 8 - Accident Analysis. Two cars collide at an...Ch. 8 - Jack (mass 55.0 kg) is sliding due east with speed...Ch. 8 - BIO Bird Defense. To protect their young in the...Ch. 8 - At the intersection of Texas Avenue and University...Ch. 8 - A 5.00-g bullet is fired horizontally into a...Ch. 8 - A Ballistic Pendulum. A 12.0-g rifle bullet is...Ch. 8 - Combining Conservation Laws. A 15.0-kg block is...Ch. 8 - CP A 0.800-kg ornament is hanging by a 1.50-m wire...Ch. 8 - A 0.150-kg glider is moving to the right with a...Ch. 8 - Blocks A (mass 2.00 kg) and B (mass 6.00 kg) move...Ch. 8 - A 10.0-g marble slides to the left at a speed of...Ch. 8 - Moderators. Canadian nuclear reactors use heavy...Ch. 8 - You are at the controls of a particle accelerator,...Ch. 8 - Three odd-shaped blocks of chocolate have the...Ch. 8 - Prob. 8.52ECh. 8 - Pluto and Charon. Plutos diameter is approximately...Ch. 8 - A 1200-kg SUV is moving along a straight highway...Ch. 8 - Prob. 8.55ECh. 8 - At one instant, the center of mass of a system of...Ch. 8 - In Example 8.14 (Section 8.5), Ramon pulls on the...Ch. 8 - CALC A system consists of two particles. At t = 0...Ch. 8 - CALC A radio-controlled model airplane has a...Ch. 8 - Prob. 8.60ECh. 8 - A 70-kg astronaut floating in space in a 110-kg...Ch. 8 - A small rocket burns 0.0500 kg of fuel per second,...Ch. 8 - Obviously, we can make rockets to go very fast,...Ch. 8 - A steel ball with mass 40.0 g is dropped from a...Ch. 8 - Just before it is struck by a racket, a tennis...Ch. 8 - Three identical pucks on a horizontal air table...Ch. 8 - Blocks A (mass 2.00 kg) and B (mass 10.00 kg, to...Ch. 8 - A railroad handcar is moving along straight,...Ch. 8 - Spheres A (mass 0.020 kg), B (mass 0.030 kg), and...Ch. 8 - You and your friends are doing physics experiments...Ch. 8 - CP An 8.00-kg block of wood sits at the edge of a...Ch. 8 - CP A small wooden block with mass 0.800 kg is...Ch. 8 - Combining Conservation Laws. A 5.00-kg chunk of...Ch. 8 - CP Block B (mass 4.00 kg) is at rest at the edge...Ch. 8 - Two blocks have a spring compressed between them,...Ch. 8 - Automobile Accident Analysis. You are called as an...Ch. 8 - Accident Analysis. A 1500-kg sedan goes through a...Ch. 8 - CP A 0.150-kg frame, when suspended from a coil...Ch. 8 - A rifle bullet with mass 8.00 g strikes and embeds...Ch. 8 - A Ricocheting Bullet. A 0.100-kg stone rests on a...Ch. 8 - Prob. 8.81PCh. 8 - Prob. 8.82PCh. 8 - A ball with mass M, moving horizontally at 4.00...Ch. 8 - PA 20.00-kg lead sphere is hanging from a hook by...Ch. 8 - A 4.00-g bullet, traveling horizontally with a...Ch. 8 - A 5.00-g bullet is shot through a 1.00-kg wood...Ch. 8 - CP In a shipping company distribution center, an...Ch. 8 - Neutron Decay. A neutron at rest decays (breaks...Ch. 8 - Antineutrino. In beta decay, a nucleus emits an...Ch. 8 - Jonathan and Jane are sitting in a sleigh that is...Ch. 8 - Friends Burt and Ernie stand at opposite ends of a...Ch. 8 - A 45.0-kg woman stands up in a 60.0-kg canoe 5.00...Ch. 8 - You are standing on a concrete slab that in turn...Ch. 8 - CP In a fireworks display, a rocket is launched...Ch. 8 - A 7.0-kg shell at rest explodes into two...Ch. 8 - CP A 20.0-kg projectile is fired at an angle of...Ch. 8 - CP A fireworks rocket is fired vertically upward....Ch. 8 - A 12.0-kg shell is launched at an angle of 55.0...Ch. 8 - CP An outlaw cuts loose a wagon with two boxes of...Ch. 8 - DATA A 2004 Prius with a 150-lb driver and no...Ch. 8 - DATA In your job in a police lab, you must design...Ch. 8 - DATA For the Texas Department of Public Safety,...Ch. 8 - CALC A Variable-Mass Raindrop. In a...Ch. 8 - Prob. 8.104CPCh. 8 - CALC Use the methods of Challenge Problem 8.104 to...Ch. 8 - BIO MOMENTUM AND THE ARCHERFISH. Archerfish are...Ch. 8 - BIO MOMENTUM AND THE ARCHERFISH. Archerfish are...Ch. 8 - BIO MOMENTUM AND THE ARCHERFISH. Archerfish are...Ch. 8 - BIO MOMENTUM AND THE ARCHERFISH. Archerfish are...
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