FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
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Question
Chapter 9, Problem 99P
(a)
To determine
Determine the coordinates for the center of the mass system.
(b)
To determine
Determine the velocity for the center of mass system.
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Under many conditions, the center of mass of a system of particles can represent the system as a whole. But how far does this rule extend?
Consider two identical particles traveling toward each other at the same speed. By examining this system, choose the correct response.
1)The momentum and kinetic energy of the center of mass is equivalent to that of the system of particles.
2)The kinetic energy, but not the momentum, of the center of mass is equivalent to that of the system of particles.
3)Neither the momentum nor the kinetic energy of the center of mass is equivalent to that of the system of particles.
4)The momentum, but not the kinetic energy, of the center of mass, is equivalent to that of the system of particles.
Assume that the origin goes through the A particle. The three masses are connected by massless, rigid rods of 30 cm length (center-to-center). If the mass of A is 450 g, the mass of B is 200 g and the mass of C is 150 g, what is the x-coordinate (in cm) of the center of mass?
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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 9 Solutions
FUNDAMENTALS OF PHYSICS - EXTENDED
Ch. 9 - A 2.00 kg particle has the xy coordinates 1.20 m,...Ch. 9 - ILW A stone is dropped at t = 0. A second stone,...Ch. 9 - GO A 1000 kg automobile is at rest at a traffic...Ch. 9 - A big olive m = 0.50 kg lies at the origin of an...Ch. 9 - Prob. 12PCh. 9 - GO Ricardo, of mass 80 kg, and Carmelita, who is...Ch. 9 - A 0.70 kg ball moving horizontally at 5.0 m/s...Ch. 9 - A 0.30 kg softball has a velocity of 15 m/s at an...Ch. 9 - In February 1955, a paratrooper fell 370 m from an...Ch. 9 - A 1.2 kg ball drops vertically onto a floor,...
Ch. 9 - In a common but dangerous prank, a chair is pulled...Ch. 9 - SSM A force in the negative direction of an x axis...Ch. 9 - In tae-kwon-do, a hand is slammed down onto a...Ch. 9 - Suppose a gangster sprays Supermans chest with 3 g...Ch. 9 - Jumping up before the elevator hits. After the...Ch. 9 - GO Figure 9-51 shows a 0.300 kg baseball just...Ch. 9 - A 0.25 kg puck is initially stationary on an ice...Ch. 9 - SSM A soccer player kicks a soccer ball of mass...Ch. 9 - SSM A 91 kg man lying on a surface of negligible...Ch. 9 - A space vehicle is traveling at 4300 km/h relative...Ch. 9 - An object, with mass m and speed v relative to an...Ch. 9 - SSM WWW A 20.0 kg body is moving through space in...Ch. 9 - A 4.0 kg mess kit sliding on a frictionless...Ch. 9 - A vessel at rest at the origin of an xy coordinate...Ch. 9 - GO Particle A and particle B are held together...Ch. 9 - A bullet of mass 10 g strikes a ballistic pendulum...Ch. 9 - A 5.20 g bullet moving at 672 m/s strikes a 700 g...Ch. 9 - Prob. 53PCh. 9 - A completely inelastic collision occurs between...Ch. 9 - ILW A 5.0 kg block with a speed of 3.0 m/s...Ch. 9 - SSM A cart with mass 340 g moving on a...Ch. 9 - Two titanium spheres approach each other head-on...Ch. 9 - Block 1 of mass m1 slides along a frictionless...Ch. 9 - SSM A body of mass 2.0 kg makes an elastic...Ch. 9 - Block 1, with mass m1 and speed 4.0 m/s, slides...Ch. 9 - ILW In Fig. 9-21, projectile particle 1 is an...Ch. 9 - Ball B, moving in the positive direction of an x...Ch. 9 - After a completely inelastic collision, two...Ch. 9 - Two 2.0 kg bodies, A and B, collide. The...Ch. 9 - GO A projectile proton with a speed of 500 m/s...Ch. 9 - A 6090 kg space probe moving nose-first toward...Ch. 9 - Prob. 78PCh. 9 - SSM ILW A rocket that is in deep space and...Ch. 9 - An object is tracked by a radar station and...Ch. 9 - The last stage of a rocket, which is traveling at...Ch. 9 - A ball having a mass of 150 g strikes a wall with...Ch. 9 - A spacecraft is separated into two parts by...Ch. 9 - SSM A 1400 kg car moving at 5.3 m/s is initially...Ch. 9 - ILW A certain radioactive parent nucleus...Ch. 9 - A 75 kg man rides on a 39 kg cart moving at a...Ch. 9 - Two blocks of masses 1.0 kg and 3.0 kg are...Ch. 9 - Prob. 93PCh. 9 - An old Chrysler with mass 2400 kg is moving along...Ch. 9 - A rocket is moving away from the solar system at a...Ch. 9 - A 0.15 kg ball hits a wall with a velocity of 5.00...Ch. 9 - Prob. 99PCh. 9 - Prob. 100PCh. 9 - Prob. 101PCh. 9 - Prob. 102PCh. 9 - Prob. 103PCh. 9 - Prob. 104PCh. 9 - Prob. 105PCh. 9 - Prob. 106PCh. 9 - Prob. 107PCh. 9 - Prob. 108PCh. 9 - Prob. 109PCh. 9 - Prob. 110PCh. 9 - Prob. 111PCh. 9 - Prob. 112PCh. 9 - Prob. 113PCh. 9 - Prob. 114PCh. 9 - Prob. 115PCh. 9 - Prob. 116PCh. 9 - Prob. 117P
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