FUNDAMENTALS OF PHYSICS V.1
11th Edition
ISBN: 9781119573913
Author: Halliday
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 9, Problem 14P
In Figure 9-43, two particles are launched from the origin of the coordinate system at time t = 0. Particle 1 of mass m1 = 5.00 g is shot directly along the x axis on a frictionless floor, with constant speed 10.0 m/s. Particle 2 of mass m2 = 3.00 g is shot with a velocity of magnitude 20.0 m/s, at an upward angle such that it always stays directly above particle 1. (a) What is the maximum height Hmax reached by the com of the two-particle system? In unit-vector notation, what are the (b) velocity and (c) acceleration of the com when the com reaches Hmax?
Figure 9-43 Problem 14.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
ROTATIONAL DYNAMICS
Question 01
A solid circular cylinder and a solid spherical ball of the same mass and radius are rolling
together down the same inclined. Calculate the ratio of their kinetic energy. Assume pure
rolling motion Question 02
A sphere and cylinder of the same mass and radius start from ret at the same point and more
down the same plane inclined at 30° to the horizontal
Which body gets the bottom first and what is its acceleration
b) What angle of inclination of the plane is needed to give the slower body the same
acceleration
Question 03
i)
Define the angular velocity of a rotating body and give its SI unit
A car wheel has its angular velocity changing from 2rads to 30 rads
seconds. If the radius of the wheel is 400mm. calculate
ii)
The angular acceleration
iii)
The tangential linear acceleration of a point on the rim of the wheel
Question 04
in 20
Question B3
Consider the following FLRW spacetime:
t2
ds² = -dt² +
(dx²
+ dy²+ dz²),
t2
where t is a constant.
a)
State whether this universe is spatially open, closed or flat.
[2 marks]
b) Determine the Hubble factor H(t), and represent it in a (roughly drawn) plot as a function
of time t, starting at t = 0.
[3 marks]
c) Taking galaxy A to be located at (x, y, z) = (0,0,0), determine the proper distance to galaxy
B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect
to galaxy A.
d) The Friedmann equations are
2
k
8πG
а
4πG
+
a²
(p+3p).
3
a
3
[5 marks]
Use these equations to determine the energy density p(t) and the pressure p(t) for the
FLRW spacetime specified at the top of the page.
[5 marks]
e) Given the result of question B3.d, state whether the FLRW universe in question is (i)
radiation-dominated, (ii) matter-dominated, (iii) cosmological-constant-dominated, or (iv)
none of the previous. Justify your answer.
f)
[5 marks]
A conformally…
SECTION B
Answer ONLY TWO questions in Section B
[Expect to use one single-sided A4 page for each Section-B sub question.]
Question B1
Consider the line element
where w is a constant.
ds²=-dt²+e2wt dx²,
a) Determine the components of the metric and of the inverse metric.
[2 marks]
b) Determine the Christoffel symbols. [See the Appendix of this document.]
[10 marks]
c)
Write down the geodesic equations.
[5 marks]
d) Show that e2wt it is a constant of geodesic motion.
[4 marks]
e)
Solve the geodesic equations for null geodesics.
[4 marks]
Chapter 9 Solutions
FUNDAMENTALS OF PHYSICS V.1
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 - Prob. 71PCh. 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 - Prob. 128P
Additional Science Textbook Solutions
Find more solutions based on key concepts
7. Block B in FIGURE EX7.7 rests on a surface for which the static and kinetic coefficients of friction are 0.6...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
6.1 State the number of electrons that be must be lost by atoms of each of the following to achieve a stable el...
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
41. What is multiple-allele inheritance? Give an example.
Principles of Anatomy and Physiology
24. The parking brake on a 2000 kg Cadillac has failed, and it is rolling slowly, at 1 mph, toward a group of s...
College Physics: A Strategic Approach (3rd Edition)
Fibrous connective tissue consists of ground substance and fibers that provide strength, support, and flexibili...
Human Biology: Concepts and Current Issues (8th Edition)
Plants use the process of photosynthesis to convert the energy in sunlight to chemical energy in the form of su...
Campbell Essential Biology with Physiology (5th 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
- Page 2 SECTION A Answer ALL questions in Section A [Expect to use one single-sided A4 page for each Section-A sub question.] Question A1 SPA6308 (2024) Consider Minkowski spacetime in Cartesian coordinates th = (t, x, y, z), such that ds² = dt² + dx² + dy² + dz². (a) Consider the vector with components V" = (1,-1,0,0). Determine V and V. V. (b) Consider now the coordinate system x' (u, v, y, z) such that u =t-x, v=t+x. [2 marks] Write down the line element, the metric, the Christoffel symbols and the Riemann curvature tensor in the new coordinates. [See the Appendix of this document.] [5 marks] (c) Determine V", that is, write the object in question A1.a in the coordinate system x'. Verify explicitly that V. V is invariant under the coordinate transformation. Question A2 [5 marks] Suppose that A, is a covector field, and consider the object Fv=AAμ. (a) Show explicitly that F is a tensor, that is, show that it transforms appropriately under a coordinate transformation. [5 marks] (b)…arrow_forwardHow does boiling point of water decreases as the altitude increases?arrow_forwardNo chatgpt pls will upvotearrow_forward
- 14 Z In figure, a closed surface with q=b= 0.4m/ C = 0.6m if the left edge of the closed surface at position X=a, if E is non-uniform and is given by € = (3 + 2x²) ŷ N/C, calculate the (3+2x²) net electric flux leaving the closed surface.arrow_forwardNo chatgpt pls will upvotearrow_forwardsuggest a reason ultrasound cleaning is better than cleaning by hand?arrow_forward
- Checkpoint 4 The figure shows four orientations of an electric di- pole in an external electric field. Rank the orienta- tions according to (a) the magnitude of the torque on the dipole and (b) the potential energy of the di- pole, greatest first. (1) (2) E (4)arrow_forwardWhat is integrated science. What is fractional distillation What is simple distillationarrow_forward19:39 · C Chegg 1 69% ✓ The compound beam is fixed at Ę and supported by rollers at A and B. There are pins at C and D. Take F=1700 lb. (Figure 1) Figure 800 lb ||-5- F 600 lb بتا D E C BO 10 ft 5 ft 4 ft-—— 6 ft — 5 ft- Solved Part A The compound beam is fixed at E and... Hình ảnh có thể có bản quyền. Tìm hiểu thêm Problem A-12 % Chia sẻ kip 800 lb Truy cập ) D Lưu of C 600 lb |-sa+ 10ft 5ft 4ft6ft D E 5 ft- Trying Cheaa Những kết quả này có hữu ích không? There are pins at C and D To F-1200 Egue!) Chegg Solved The compound b... Có Không ☑ ||| Chegg 10 וחarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Elastic and Inelastic Collisions; Author: Professor Dave Explains;https://www.youtube.com/watch?v=M2xnGcaaAi4;License: Standard YouTube License, CC-BY