Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 9, Problem 16E
Rework Example 9.1 with the origin at the center of the barbell, showing that the physical location of the center of mass doesn’t depend on your coordinate system.
EXAMPLE 9.1 CM in One Dimension: Weightlifting
Find the center of mass of a barbell consisting of 50-kg and 80-kg weights at the opposite ends of a 1.5-m-long bar of negligible 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
Essential University Physics (3rd Edition)
Ch. 9.1 - Prob. 9.1GICh. 9.2 - A 500-g fireworks rocket is moving with velocity...Ch. 9.2 - Two skaters toss a basketball back and forth on...Ch. 9.3 - Which of the following systems has (1) zero...Ch. 9.4 - Which of the following qualifies as a collision?...Ch. 9.5 - Which of the following collisions qualify as...Ch. 9.6 - One ball is at rest on a level floor. A second...Ch. 9 - Roughly where is your center of mass when youre...Ch. 9 - Prob. 2FTDCh. 9 - Prob. 3FTD
Ch. 9 - The momentum of a system of pool balls is the same...Ch. 9 - An hourglass is inverted and placed on a scale....Ch. 9 - Why are cars designed so that their front ends...Ch. 9 - Give three everyday examples of inelastic...Ch. 9 - Is it possible to have an inelastic collision in...Ch. 9 - Prob. 9FTDCh. 9 - Why dont we need to consider external forces...Ch. 9 - How is it possible to have a collision between...Ch. 9 - A pitched baseball moves no faster than the...Ch. 9 - Two identical satellites are going in opposite...Ch. 9 - Prob. 14ECh. 9 - Two particles of equal mass m are at the vertices...Ch. 9 - Rework Example 9.1 with the origin at the center...Ch. 9 - Prob. 17ECh. 9 - Prob. 18ECh. 9 - A popcorn kernel at rest in a hot pan bursts into...Ch. 9 - A 60-kg skater, at rest on frictionless ice,...Ch. 9 - A plutonium-239 nucleus at rest decays into a...Ch. 9 - A toboggan of mass 8.6 kg is moving horizontally...Ch. 9 - A 150-g trick baseball is thrown at 60 km/h. It...Ch. 9 - An object with kinetic energy K explodes into two...Ch. 9 - Two 140-kg satellites collide at an altitude where...Ch. 9 - High-speed photos of a 220-g flea jumping...Ch. 9 - Youre working in mission control for an...Ch. 9 - In a railroad switchyard, a 56-ton freight car is...Ch. 9 - In a totally inelastic collision between two equal...Ch. 9 - Prob. 30ECh. 9 - Two identical trucks have mass 5500 kg when empty,...Ch. 9 - An alpha particle (4He) strikes a stationary gold...Ch. 9 - Playing in the street, a child accidentally tosses...Ch. 9 - A block of mass m undergoes a one-dimensional...Ch. 9 - A proton moving at 6.9 Mm/s collides elastically...Ch. 9 - A head-on, elastic collision between two particles...Ch. 9 - Find the center of mass of a pentagon with five...Ch. 9 - Wildlife biologists fire 20-g rubber bullets to...Ch. 9 - Consider a system of three equal-mass particles...Ch. 9 - Youre with 19 other people on a boat at rest in...Ch. 9 - A hemispherical bowl is at rest on a frictionless...Ch. 9 - Physicians perform needle biopsies to sample...Ch. 9 - Find the center of mass of the uniform, solid cone...Ch. 9 - A firecracker, initially at rest, explodes into...Ch. 9 - An 11,000-kg freight car rests against a spring...Ch. 9 - On an icy road, a 1200-kg car moving at 50 km/h...Ch. 9 - A 1250-kg car is moving with velocity...Ch. 9 - Masses m and 3m approach at the same speed v and...Ch. 9 - A 238U nucleus is moving in the x-direction at 5.0...Ch. 9 - A cylindrical concrete silo is 4.0 m in diameter...Ch. 9 - A 42-g firecracker is at rest at the origin when...Ch. 9 - A 60-kg astronaut floating in space simultaneously...Ch. 9 - Assuming equal-mass pieces in Exercise 24, find...Ch. 9 - A 62-kg sprinter stands on the left end of a...Ch. 9 - Youre a production engineer in a cookie factory,...Ch. 9 - Mass m, moving at speed 2v, approaches mass 4m,...Ch. 9 - Verify explicitly that kinetic energy is conserved...Ch. 9 - While standing on frictionless ice, you (mass 65.0...Ch. 9 - Youre an accident investigator at a scene where a...Ch. 9 - A fireworks rocket is launched vertically upward...Ch. 9 - Two objects moving in opposite directions with the...Ch. 9 - Explosive bolts separate a 950-kg communications...Ch. 9 - Youre working in quality control for a model...Ch. 9 - Youre investigating an accident in which a 1040-kg...Ch. 9 - A 400-mg popcorn kernel is skittering across a...Ch. 9 - Two identical objects with the same initial speed...Ch. 9 - A proton (mass 1 u) moving at 6.90 Mm/s collides...Ch. 9 - Two objects, one initially at rest, undergo a...Ch. 9 - Blocks B and C have masses 2m and m, respectively,...Ch. 9 - Derive Equation 9.15b.Ch. 9 - An object collides elastically with an equal-mass...Ch. 9 - A proton (mass 1 u) collides elastically with a...Ch. 9 - Two identical billiard balls are initially at rest...Ch. 9 - Find an expression for the impulse imparted by a...Ch. 9 - A 32-u oxygen molecule (O2) moving in the...Ch. 9 - A 114-g Frisbee is lodged on a tree branch 7.65 m...Ch. 9 - You set a small ball of mass m atop a large ball...Ch. 9 - A car moving at speed v undergoes a...Ch. 9 - A 200-g block is released from rest at a height of...Ch. 9 - A 14-kg projectile is launched at 380 m/s at a 55...Ch. 9 - During a crash test, a car moving at 50 km/h...Ch. 9 - Use numerical or graphical techniques to estimate...Ch. 9 - A block of mass m1 undergoes a one-dimensional...Ch. 9 - Two objects of unequal mass, one initially at...Ch. 9 - Prob. 86PCh. 9 - Prob. 87PCh. 9 - In a ballistic pendulum demonstration gone bad, a...Ch. 9 - An 80-kg astronaut has become detached from the...Ch. 9 - Prob. 90PCh. 9 - A thin rod extends from x = 0 to x = L. It carries...Ch. 9 - Model rocket motors are specified by giving the...Ch. 9 - A block of mass M is moving at speed r0 on a...Ch. 9 - Youre interested in the intersection of physics...Ch. 9 - Youre interested in the intersection of physics...Ch. 9 - Youre interested in the intersection of physics...Ch. 9 - Youre interested in the intersection of physics...
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