University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
14th Edition
ISBN: 9780321982582
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 8, Problem 8.54E
A 1200-kg SUV is moving along a straight highway at 12.0 m/s. Another car, with mass 1800 kg and speed 20.0 m/s, has its center of mass 40.0 m ahead of the center of mass of the SUV (Fig. E8.54). Find (a) the position of the center of mass of the system consisting of the two cars; (b) the magnitude of the system’s total momentum, by using the given data; (c) the speed of the system’s center of mass; (d) the system’s total momentum, by using the speed of the center of mass. Compare your result with that of part (b).
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A 1200 kg SUV is moving along a straight highway at 12.0 m/s. Another car, with mass 1800 kg and speed 20.0 m/s, has its center of mass 40.0 m ahead of the center of mass of the SUV (Fig.). Find (a) the position of the center of mass of the system consisting of the two cars; (b) the magnitude of the system’s total momentum, by using the given data; (c) the speed of the system’s center of mass; (d) the system’s total momentum, by using the speed of the center of mass. Compare your result with that of part (b).
The vector position of a 3.40 g particle moving in the xy plane varies in time according to r, = (3î + 3ĵ)t + 2ĵt² where t is in seconds and r is in
centimeters. At the same time, the vector position of a 5.90 g particle varies as r, = 3î - 2ît2 -
6ĵt.
(a)
Determine the vector position (in cm) of the center of mass of the system at t = 2.70 s.
cm
cm
(b)
Determine the linear momentum (in g · cm/s) of the system at t = 2.70 s.
p =
g· cm/s
(c)
Determine the velocity (in cm/s) of the center of mass at t = 2.70 s.
V.
cm
cm/s
(d)
Determine the acceleration (in cm/s2) of the center of mass at t = 2.70 s.
a cm
cm/s2
(е)
Determine the net force (in µN) exerted on the two-particle system at t = 2.70 s.
net
UN
The vector position of a 3.75 g particle moving in the xy plane varies in time according to r₁ = (3î + 3ĵ)t + 2ĵt² where t is in seconds and is in centimeters. At the same time, the vector
position of a 5.65 g particle varies as r
31 – 2ît² – 6ĵt.
r2
(a) Determine the vector position (in cm) of the center of mass of the system at t = 2.80 s.
cm
=
(b) Determine the linear momentum (in g· cm/s) of the system at t = 2.80 s.
cm
cm
(c) Determine the velocity (in cm/s) of the center of mass at t = 2.80 s.
cm
g.cm/s
net
(d) Determine the acceleration (in cm/s²) of the center of mass at t = 2.80 s.
cm/s²
=
=
cm/s
(e) Determine the net force (in µN) exerted on the two-particle system at t = 2.80 s.
μN
Chapter 8 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (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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