Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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…
Three point particles are fixed in place in an xyz coordinate system. Particle A, at the origin, has mass mA. Particle B, at xyz coordinates (2.00d, 1.00d, 2.00d), has mass 2.00mA, and particle C, at coordinates (-1.00d, 2.00d, -3.00d), has mass 3.00mA. A fourth particle D, with mass 4.00mA, is to be placed near the other particles. In terms of distance d, at what (a) x, (b) y, and (c) z coordinate should D be placed so that the net gravitational force on Afrom B, C, and Dis zero?
Chapter 9 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
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
Estimate the average temperature of the air inside a hot-air balloon (see Figure 1.1). Assume that the total ma...
An Introduction to Thermal Physics
(a) Determine the Lorentz transformation matrix givingposition and time in frame S’ from those in frame S in th...
Modern Physics
An aluminum calorimeter with a mass of 100 g contains 250 g of water. The calorimeter and water are in thermal ...
Physics for Scientists and Engineers
The maximum emf produced by the generator.
Physics (5th Edition)
10.30 An engine delivers 175 hp to an aircraft propeller at 2400 rev/min. (a) How much torque does the aircraft...
University Physics with Modern Physics (14th Edition)
(II) If a fluid is contained in a long narrow vessel so it can expand in essentially one direction only, show t...
Physics for Scientists and Engineers with Modern Physics
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
- 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 ?̂.arrow_forwardThe H2S molecule contains two hydrogen atoms and one sulfur atom. The position vectors of the hydrogen atoms and the sulfur atom are rHI=(0.70, 1.01, 0.00), rí2=(0.70, -1.01, 0.00), rs=(0.00, 0.00, 0.00), respectively. Providing that the mass of hydrogen atom is 1 amu and the mass of sulfur atom is 32 amu. Find a. The angle between the two H-S bonds. b. The position vector of the centre of mass of the H2S molecule. c. The position vectors of the hydrogen atoms and the sulfur atom with respect to the centre of the mass of the molecule (pointing from the centre of the mass of the molecule to the hydrogen atoms and the sulfur atom).arrow_forwardThe figure below shows four spheres 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 spheres are m₁ = 2.50 kg, m₂ = 1.50 kg, m3 = 3.70 kg, and MA = 1.70 kg. y m m₁ 0 m2 4.00 m- 6.00 m x m3 (a) What is the moment of inertia (in kg m²) of the system about the x-axis? 9 kg .m² A (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 Narrow_forward
- The 100 kg sphere A is released from rest at an angle of α from the vertical, and hits the 10 kg block B (initially at rest), causing block B to have an initial velocity of 5 m/s as it enters the circular ramp (radius = 5 m) and stop temporarily at a final height h. The coefficient of restitution between sphere A and the block B is 0.6. Assume all surfaces are frictionless. Also assume direct impact between A and B. What is the velocity of A just before it hits block B? Choices:2.94 m/s11.25 m/s5.00 m/s3.44 m/sarrow_forwardThe 100 kg sphere A is released from rest at an angle of α from the vertical, and hits the 10 kg block B (initially at rest), causing block B to have an initial velocity of 5 m/s as it enters the circular ramp (radius = 5 m) and stop temporarily at a final height h. The coefficient of restitution between sphere A and the block B is 0.6. Assume all surfaces are frictionless. Also assume direct impact between A and B. What is the velocity of A just before it hits block B? And what is the length of the rope l, if angle alpha is 30 degreesarrow_forwardThe 100 kg sphere A is released from rest at an angle of α from the vertical, and hits the 10 kg block B (initially at rest), causing block B to have an initial velocity of 5 m/s as it enters the circular ramp (radius = 5 m) and stop temporarily at a final height h. The coefficient of restitution between sphere A and the block B is 0.6. Assume all surfaces are frictionless. Also assume direct impact between A and B. Which of the following best approximates the value of height h? 0.255m 0.510 m 5.00 m 1.274 marrow_forward
- 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_forwardThree dimensions. Three point particles are fixed in place in an xyz coordinate system. Particle A, at the origin, has mass ma. Particle B, at xyz coordinates (3.00d, 1.00d, 3.00d), has mass 4.00ma, and particle C, at coordinates (-2.00d, 1.00d, -1.00d), has mass 2.00ma. A fourth particle D, with mass 3.00ma, is to be placed near the other particles. If distance d = 4.50 m, at what (a) x, (b) y, and (c) z coordinate should D be placed so that the net gravitational force on A from B, C, and D is zero? (a) Number Units (b) Number |Units (c) Number Unitsarrow_forward
- An experiment is performed in deep space with two uniform spheres, one with mass 50.0 kg and the other with mass 100.0 kg. They have equal radii, r = 0.20 m. The spheres are released from rest with their centers 40.0 m apart. They accelerate toward each other because of their mutual gravitational attraction. You can ignore all gravitational forces other than that between the two spheres. (a) Explain why linear momentum is conserved. (b) When their centers are 20.0 m apart, find (i) the speed of each sphere and (ii) the magnitude of the relative velocity with which one sphere is approaching the other. (c) How far from the initial position of the center of the 50.0 kg sphere do the surfaces of the two spheres collide?arrow_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_forwardTwo 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_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