Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 9, Problem 15P
Figure 9-44 shows an arrangement with an air track, in which a cart is connected by a cord to a hanging block. The cart has mass m1 = 0.600 kg, and its center is initially at xy coordinates (−0.500 m, 0 m); the block has mass m2 = 0.400 kg, and its center is initially at xy coordinates (0, −0.100 m).The mass of the cord and pulley are negligible. The cart is released from rest, and both cart and block move until the cart hits the pulley. The friction between the cart and the air track and between the pulley and its axle is negligible, (a) In unit-vector notation, what is the acceleration of the center of mass of the cart–block system? (b) What is the velocity of the com as a function of time t? (c) Sketch the path taken by the com. (d) If the path is curved, determine whether it bulges upward to the right or downward to the left, and if it is straight, find the angle between it and the x axis.
Figure 9-44 Problem 15.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The figure shows an arrangement with an air track, in which a cart is connected by a cord to a
hanging block. The cart has mass m₁ = 0.770 kg, and its center is initially at xy coordinates (-0.520
m, 0 m); the block has mass m₂ = 0.570 kg, and its center is initially at xy coordinates (0, -0.150 m).
The mass of the cord and pulley are negligible. The cart is released from rest, and both cart and
block move until the cart hits the pulley. The friction between the cart and the air track and
between the pulley and its axle is negligible. (a) In unit-vector notation, what is the acceleration of
the center of mass of the cart-block system? (b) What is the velocity of the com as a function of
time t, in unit-vector notation?
CA
201
100
1₂
·x
The figure below shows an arrangement with an air track, in which a cart is connected by a cord to a hanging block. The cart has mass m1 = 0.520 kg and its center is initially at xy coordinates
(-0.500 m, 0 m). The block has mass m2 = 0.180 kg and its center is initially at xy coordinates (o, -0.100 m). The mass of the cord and pulley are negligible. The cart is released from rest, and both
cart and block move until the cart hits the pulley. The friction between the cart and the air track and between the pulley and its axle is negligible.
m1
(a) In unit-vector notation what is the acceleration of the center of mass of the cart-block system? (Express your answer in vector form.)
dcom
m/s?
=
(b) What is the velocity of the center of mass as a function of time t? (Assumet is in seconds.) (Express your answer in vector form.)
V com
m/s
(c) Sketch the path taken by the system's center of mass. (Submit a file with a maximum size of 1 MB.)
Choose File no file selected
This answer has not been…
A thin rod has length L and total mass M lies along the x axis.
(a) Suppose the rod is uniform. Find the position of the center of mass with respect to the left end of the
rod in terms of L, M, and ?̂.
(b) Now suppose the rod is not uniform but has a linear mass density that varies with the distance x from
the left end according to the relation:
? =
?
?ଷ ?ଷ
where λ0 is a constant and has SI units of kg/m. The total mass of the rod is still
M. Find λ0 and the
position of the center of mass with respect to the left end of the rod. Express your answer in terms of
some or all of the following: L, M, and ?̂.
Chapter 9 Solutions
Fundamentals of Physics Extended
Ch. 9 - Figure 9-23 shows an overhead view of three...Ch. 9 - Figure 9-24 shows an overhead view of four...Ch. 9 - Consider a box that explodes into two pieces while...Ch. 9 - Figure 9-26 shows graphs of force magnitude versus...Ch. 9 - The free-body diagrams in Fig. 9-27 give, from...Ch. 9 - Figure 9-28 shows four groups of three or four...Ch. 9 - A block slides along a frictionless floor and into...Ch. 9 - Figure 9-30 shows a snapshot of block 1 as it...Ch. 9 - Two bodies have undergone an elastic...Ch. 9 - Figure 9-32: A block on a horizontal floor is...
Ch. 9 - Block 1 with mass m1 slides along an x axis across...Ch. 9 - Figure 9-34 shows four graphs of position versus...Ch. 9 - A 2.00 kg particle has the xy coordinates 1.20 m,...Ch. 9 - Figure 9-35 shows a three-particle system, with...Ch. 9 - Figure 9-36 shows a slab with dimensions d1 = 11.0...Ch. 9 - In Fig. 9-37, three uniform thin rods, each of...Ch. 9 - GO What are a the x coordinate and b the y...Ch. 9 - Figure 9-39 shows a cubical box that has been...Ch. 9 - ILW In the ammonia NH3 molecule of Fig. 9-40,...Ch. 9 - GO A uniform soda can of mass 0.140 kg is 12.0 cm...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 - SSM A shell is shot with an initial velocity v0 of...Ch. 9 - In Figure 9-43, two particles are launched from...Ch. 9 - Figure 9-44 shows an arrangement with an air...Ch. 9 - GO Ricardo, of mass 80 kg, and Carmelita, who is...Ch. 9 - GO In Fig. 9-45a, a 4.5 kg dog stands on an 18 kg...Ch. 9 - A 0.70 kg ball moving horizontally at 5.0 m/s...Ch. 9 - ILW A 2100 kg truck traveling north at 41 km/h...Ch. 9 - GO At time t = 0, a ball is struck at ground level...Ch. 9 - A 0.30 kg softball has a velocity of 15 m/s at an...Ch. 9 - Figure 9-47 gives an overhead view of the path...Ch. 9 - Until his seventies, Henri LaMothe Fig. 9-48...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 - Two average forces. A steady stream of 0.250 kg...Ch. 9 - Jumping up before the elevator hits. After the...Ch. 9 - A 5.0 kg toy car can move along an x axis; Fig....Ch. 9 - GO Figure 9-51 shows a 0.300 kg baseball just...Ch. 9 - Basilisk lizards can run across the top of a water...Ch. 9 - GO Figure 9-53 shows an approximate plot of force...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 - In the overhead view of Fig. 9-54, a 300 g ball...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 - Figure 9-55 shows a two-ended rocket that is...Ch. 9 - An object, with mass m and speed v relative to an...Ch. 9 - In the Olympiad of 708 B.C., some athletes...Ch. 9 - Prob. 44PCh. 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 - GO In Fig. 9-58, a 3.50 g bullet is fired...Ch. 9 - GO In Fig. 9-59, a 10 g bullet moving directly...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 - In the before part of Fig. 9-60, car A mass 1100...Ch. 9 - Prob. 57PCh. 9 - In Fig. 9-62, block 2 mass 1.0 kg is at rest on a...Ch. 9 - ILW In Fig. 9-63, block 1 mass 2.0 kg is moving...Ch. 9 - Module 9-7 Elastic Collisions in One Dimension In...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 - GO A steel ball of mass 0.500 kg is fastened to a...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 - In Fig. 9-66, particle 1 of mass m1 = 0.30 kg...Ch. 9 - GO In Fig. 9-67, block 1 of mass m1 slides from...Ch. 9 - GO A small ball of mass m is aligned above a...Ch. 9 - GO In Fig. 9-69, puck 1 of mass m1 = 0.20 kg is...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 - SSM In Fig. 9-70, two long barges are moving in...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 - Pancake collapse of a tall building. In the...Ch. 9 - Prob. 83PCh. 9 - Figure 9-73 shows an overhead view of two...Ch. 9 - Speed deamplifier. In Fig. 9-74, block 1 of mass...Ch. 9 - Speed amplifier. In Fig. 9-75, block 1 of mass m1...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 - SSM In the arrangement of Fig. 9-21, billiard ball...Ch. 9 - A rocket is moving away from the solar system at a...Ch. 9 - The three balls in the overhead view of Fig. 9-76...Ch. 9 - A 0.15 kg ball hits a wall with a velocity of 5.00...Ch. 9 - Prob. 99PCh. 9 - In a game of pool, the cue ball strikes another...Ch. 9 - Prob. 101PCh. 9 - In Fig. 9-79, an 80 kg man is on a ladder hanging...Ch. 9 - In Fig. 9 80, block 1 of mass m1 = 6.6 kg is at...Ch. 9 - Prob. 104PCh. 9 - SSM A 3.0 kg object moving at 8.0 m/s in the...Ch. 9 - A 2140 kg railroad flatcar, which can move with...Ch. 9 - SSM A 6100 kg rocket is set for vertical firing...Ch. 9 - A 500.0 kg module is attached to a 400.0 kg...Ch. 9 - SSM a How far is the center of mass of the...Ch. 9 - A 140 g ball with speed 7.8 m/s strikes a wall...Ch. 9 - SSM A rocket sled with a mass of 2900 kg moves at...Ch. 9 - SSM A pellet gun fires ten 2.0 g pellets per...Ch. 9 - A railroad car moves under a grain elevator at a...Ch. 9 - Figure 9-82 shows a uniform square plate of edge...Ch. 9 - SSM At time t = 0, force F1=(4.00i+5.00j) N acts...Ch. 9 - Two particles P and Q are released from rest 1.0 m...Ch. 9 - A collision occurs between a 2.00 kg particle...Ch. 9 - In the two-sphere arrangement of Fig. 9-20, assume...Ch. 9 - In Fig. 9-83, block 1 slides along an x axis on a...Ch. 9 - A body is traveling at 2.0 m/s along the positive...Ch. 9 - An electron undergoes a one-dimensional elastic...Ch. 9 - Prob. 122PCh. 9 - An unmanned space probe of mass m and speed v...Ch. 9 - A 0.550 kg ball falls directly down onto concrete,...Ch. 9 - An atomic nucleus at rest at the origin of an xy...Ch. 9 - Particle 1 of mass 200 g and speed 3.00 m/s...Ch. 9 - During a lunar mission, it is necessary to...Ch. 9 - A cue stick strikes a stationary pool ball, with...
Additional Science Textbook Solutions
Find more solutions based on key concepts
1. Why is the quantum-mechanical model of the atom important for understanding chemistry?
Chemistry: Structure and Properties (2nd Edition)
Why is turbidity not an accurate measurement of viable bacteria in a culture?
Laboratory Experiments in Microbiology (12th Edition) (What's New in Microbiology)
18. SCIENTIFIC THINKING By measuring the fossil remains of Homo floresiensis, scientists have estimated its wei...
Campbell Biology: Concepts & Connections (9th Edition)
Choose the best answer to each of the following. Explain your reasoning. About how old is the solar system? (a)...
Cosmic Perspective Fundamentals
44. In the preceding problem we saw that a person's reaction time is generally not quick enough to allow the pe...
College Physics: A Strategic Approach (3rd Edition)
In what way do the membranes of a eukaryotic cell vary? A. Phospholipids are found only in certain membranes. B...
Campbell Biology in Focus (2nd Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- The figure below shows four objects at the corners of a rectangle, connected by rods of negligible mass. The center of the rectangle lies at the origin of an xy-coordinate system. The width of the rectangle (along the x-axis) is 4.00 m, and the height (along the y-axis) is 6.00 m. Starting at the top left and going clockwise, the masses of the objects are m, = 3.50 kg, m2 = 2.50 kg, m3 = 4.30 kg, and m, = 1.90 kg. m, m2 6.00 m m3 + 4.00 m→ (a) What is the moment of inertia (in kg • m2) of the system about the x-axis? kg • m2 (b) What is the moment of inertia (in kg · m2) of the system about the y-axis? kg • m (c) What is the moment of inertia (in kg · m2) of the system about an axis through O and perpendicular to the page (that is, the z-axis)? kg · m2arrow_forwardThe figure below shows four objects at the corners of a rectangle, connected by rods of negligible mass. The center of the rectangle lies at the origin of an xy-coordinate system. The width of the rectangle (along the x-axis) is 4.00 m, and the height (along the y-axis) is 6.00 m. Starting at the top left and going clockwise, the masses of the objects are m, = 2.50 kg, m, = 2.50 kg, m, = 4.30 kg, and ma = 2.10 kg. m, m2 6.00 m m m3 4.00 m (a) What is the moment of inertia (in kg · m2) of the system about the x-axis? kg · m2 (b) What is the moment of inertia (in kg · m2) of the system about the y-axis? kg · m2 (c) What is the moment of inertia (in kg · m2) of the system about an axis through O and perpendicular to the page (that is, the z-axis)? kg • m2 Need Help? Read It Page 2 oarrow_forwardThe figure below shows four objects at the corners of a rectangle, connected by rods of negligible mass. The center of the rectangle lies at the origin of an xy-coordinate system. The width of the rectangle (along the x-axis) is 4.00 m, and the height (along the y-axis) is 6.00 m. Starting at the top left and going clockwise, the masses of the objects are: m1 = 2.90 kg, m2 = 1.90 kg, m3 = 4.10 kg, m4 = 2.50 kg. a) What is the moment of inertia (in kg · m2) of the system about the x-axis? ____ kg · m2 (b) What is the moment of inertia (in kg · m2) of the system about the y-axis? _____kg · m2 (c) What is the moment of inertia (in kg · m2) of the system about an axis through O and perpendicular to the page (that is, the z-axis)? _____kg · m2arrow_forward
- Two particles are moving in the x-y plane. Particle #1 has a mass m, = 6.40 kg and is located (at any time) by the position vector r, (t) = [0.300 m + (2.00 m/s?)t?jî + 0.200 mj. Particle #2 has a mass m, = 9.00 kg and is located (at any time) by the position vector r,(t) = 0.100 mî + [0.300 m + (0.500 m/s)t + (1.50 m/s?)t?jj. Determine the following at the time t = 1.00 s. (Express your answers in vector form.) (a) location of the center of mass r(t = 1.00 s) = m (b) velocity of the center of mass Vem (t = 1.00 s) = m/s v (c) acceleration of the center of mass a(t = 1.00 s) = m/s?arrow_forwardA man is standing on a turntable that is on a frictionless axle. Initially he is stationary. Then a ball of mass m = 1.73 kg is thrown directly into his hand at a speed vo = 6.44 m/s. With his arm outstretched, the distance from his shoulder (at the axis of rotation) is d = 0.71 m and theta = 39.9 degrees. He catches and holds the ball. When he catches the ball, the man's moment of inertia (not including the ball) is Io = 0.99 kg m2. What is the final angular velocity of the man right after the ball is caught?arrow_forwardAn object with mass M slides across a frictionless half-circular slide of radius R. The object is initially held stationary at the top of the slide. The initial height is, hi = R. The mass is released and slides down, around the bottom, and back up the other side. The radius of the slide is R = 5.79 m and the mass of the object is M = 37 kg. When the object is moving up the slide, at an angle θ = 18o from the vertical, what is the normal force on the object?arrow_forward
- A thin rod of length 2.6 meters has a non-uniform density given by ρρ = b(x2 + ax) where b = 1.18 kg/m3, a = 0.32 m, and x measures from one of the rod to the other. Find the rod's center of mass.arrow_forwardWe watch two identical astronomical bodies A and B, each of mass m, fall toward each other from rest because of the gravitational force on each from the other. Their initial center-to-center separation is Ri. Assume that we are in an inertial reference frame that is stationary with respect to the center of mass of this twobody system. Use the principle of conservation of mechanical energy (Kf + Uf = Ki + Ui) to find the following when the centerto- center separation is 0.5Ri : (a) the total kinetic energy of the system, (b) the kinetic energy of each body, (c) the speed of each body relative to us, and (d) the speed of body B relative to body A. Next assume that we are in a reference frame attached to body A (we ride on the body). Now we see body B fall from rest toward us. From this reference frame, again use Kf + Uf = Ki + Ui to find the following when the center-to-center separation is 0.5Ri : (e) the kinetic energy of body B and (f) the speed of body B relative to body A. (g) Why…arrow_forwardA pendulum of length L = 1.0 meter and bob of mass m = 1.0 kg is released from rest at an angle θ = 30 degrees. When the pendulum reaches the vertical position, the bob strikes a cube with mass M = 3.0 kg that is resting on a frictionless table of height h = 0.85 m. d. Determine how far away from the bottom edge of the table, Δx, the cube will strike the floor e. At the location where the cube would have struck the floor, there is now a small cart of mass M = 3.0 kg and negligible height. The cube lands on the cart, and sticks to the cart in a completely *inelastic* collision. Ignore friction. Calculate the horizontal velocity of the cart just after the cube lands on it.arrow_forward
- A rod of length 30.50 cm has linear density (mass per length) given by λ = 50.0+ 21.0x where x is the distance from one end, and is measured in grams/meter. (a) What is its mass? g (b) How far from the x = 0 end is its center of mass? marrow_forwardAdvanced Physics Questionarrow_forwardTwo small spherical asteroids, each of mass 650 kg, are traveling through deep space along the same line and in the same direction. Initially they are 28 m apart and both have a speed of 5500 m/s. Assume there are no external forces acting on the system, so the velocity of the system’s center of mass does not change. However, the individual speeds of the asteroids will change due to the gravitational force between them. Later the asteroids are 4.6 m apart. What was their change in speed, in meters per second? Give the absolute value, as their speeds change by equal but opposite amounts.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
Momentum | Forces & Motion | Physics | FuseSchool; Author: FuseSchool - Global Education;https://www.youtube.com/watch?v=DxKelGugDa8;License: Standard YouTube License, CC-BY