Often, we model the Moon as a particle in a circular orbit around the Earth. The same side of the Moon always faces the Earth. Sketch the Moon in its orbit. Explain in what way the particle model is insufficient.

Question

Want to see more full solutions like this?

Answer 1

Textbook Question

Chapter 12, Problem 1PQ

Often, we model the Moon as a particle in a circular orbit around the Earth. The same side of the Moon always faces the Earth. Sketch the Moon in its orbit. Explain in what way the particle model is insufficient.

Expert Solution & Answer

To determine

Sketch the Moon’s orbit. Explain why the particle model is insufficient.

Answer to Problem 1PQ

The orbit of moon is sketched below

Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics, Chapter 12, Problem 1PQ , additional homework tip 1

Particle model is insufficient in explaining the orbital motion of moon, because rotating object cannot be modeled as a simple particle in translational motion.

Explanation of Solution

Orbital motion of Moon is shown below.

Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics, Chapter 12, Problem 1PQ , additional homework tip 2

The motion of moon around sun is a best example of circular motion. Moon revolving around Earth in such a way that keeping same side always facing Earth, and revolves in its on axis.

During the rotation of moon earth also spins in its axis. A rotating object cannot be considered as simple particle in translational motion. Thus particle model is insufficient to represent a motion as shown in figure 1.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

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]

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)…

Answer 2

Textbook Question

Chapter 12, Problem 1PQ

Often, we model the Moon as a particle in a circular orbit around the Earth. The same side of the Moon always faces the Earth. Sketch the Moon in its orbit. Explain in what way the particle model is insufficient.

Expert Solution & Answer

To determine

Sketch the Moon’s orbit. Explain why the particle model is insufficient.

Answer to Problem 1PQ

The orbit of moon is sketched below

Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics, Chapter 12, Problem 1PQ , additional homework tip 1

Particle model is insufficient in explaining the orbital motion of moon, because rotating object cannot be modeled as a simple particle in translational motion.

Explanation of Solution

Orbital motion of Moon is shown below.

Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics, Chapter 12, Problem 1PQ , additional homework tip 2

The motion of moon around sun is a best example of circular motion. Moon revolving around Earth in such a way that keeping same side always facing Earth, and revolves in its on axis.

During the rotation of moon earth also spins in its axis. A rotating object cannot be considered as simple particle in translational motion. Thus particle model is insufficient to represent a motion as shown in figure 1.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Textbook Question

Chapter 12, Problem 1PQ

Often, we model the Moon as a particle in a circular orbit around the Earth. The same side of the Moon always faces the Earth. Sketch the Moon in its orbit. Explain in what way the particle model is insufficient.

Expert Solution & Answer

To determine

Sketch the Moon’s orbit. Explain why the particle model is insufficient.

Answer to Problem 1PQ

The orbit of moon is sketched below

Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics, Chapter 12, Problem 1PQ , additional homework tip 1

Particle model is insufficient in explaining the orbital motion of moon, because rotating object cannot be modeled as a simple particle in translational motion.

Explanation of Solution

Orbital motion of Moon is shown below.

Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics, Chapter 12, Problem 1PQ , additional homework tip 2

The motion of moon around sun is a best example of circular motion. Moon revolving around Earth in such a way that keeping same side always facing Earth, and revolves in its on axis.

During the rotation of moon earth also spins in its axis. A rotating object cannot be considered as simple particle in translational motion. Thus particle model is insufficient to represent a motion as shown in figure 1.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

Chapter 12, Problem 1PQ

Often, we model the Moon as a particle in a circular orbit around the Earth. The same side of the Moon always faces the Earth. Sketch the Moon in its orbit. Explain in what way the particle model is insufficient.

Expert Solution & Answer

To determine

Sketch the Moon’s orbit. Explain why the particle model is insufficient.

Answer to Problem 1PQ

The orbit of moon is sketched below

Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics, Chapter 12, Problem 1PQ , additional homework tip 1

Particle model is insufficient in explaining the orbital motion of moon, because rotating object cannot be modeled as a simple particle in translational motion.

Explanation of Solution

Orbital motion of Moon is shown below.

Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics, Chapter 12, Problem 1PQ , additional homework tip 2

The motion of moon around sun is a best example of circular motion. Moon revolving around Earth in such a way that keeping same side always facing Earth, and revolves in its on axis.

During the rotation of moon earth also spins in its axis. A rotating object cannot be considered as simple particle in translational motion. Thus particle model is insufficient to represent a motion as shown in figure 1.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

Sketch the Moon’s orbit. Explain why the particle model is insufficient.

Answer to Problem 1PQ

The orbit of moon is sketched below

Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics, Chapter 12, Problem 1PQ , additional homework tip 1

Particle model is insufficient in explaining the orbital motion of moon, because rotating object cannot be modeled as a simple particle in translational motion.

Explanation of Solution

Orbital motion of Moon is shown below.

Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics, Chapter 12, Problem 1PQ , additional homework tip 2

The motion of moon around sun is a best example of circular motion. Moon revolving around Earth in such a way that keeping same side always facing Earth, and revolves in its on axis.

During the rotation of moon earth also spins in its axis. A rotating object cannot be considered as simple particle in translational motion. Thus particle model is insufficient to represent a motion as shown in figure 1.

Answer 8

Expert Solution & Answer

To determine

Sketch the Moon’s orbit. Explain why the particle model is insufficient.

Answer to Problem 1PQ

The orbit of moon is sketched below

Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics, Chapter 12, Problem 1PQ , additional homework tip 1

Particle model is insufficient in explaining the orbital motion of moon, because rotating object cannot be modeled as a simple particle in translational motion.

Explanation of Solution

Orbital motion of Moon is shown below.

Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics, Chapter 12, Problem 1PQ , additional homework tip 2

The motion of moon around sun is a best example of circular motion. Moon revolving around Earth in such a way that keeping same side always facing Earth, and revolves in its on axis.

During the rotation of moon earth also spins in its axis. A rotating object cannot be considered as simple particle in translational motion. Thus particle model is insufficient to represent a motion as shown in figure 1.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

Sketch the Moon’s orbit. Explain why the particle model is insufficient.

Answer 12

Answer to Problem 1PQ

The orbit of moon is sketched below

Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics, Chapter 12, Problem 1PQ , additional homework tip 1

Particle model is insufficient in explaining the orbital motion of moon, because rotating object cannot be modeled as a simple particle in translational motion.

Answer 13

Explanation of Solution

Orbital motion of Moon is shown below.

Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics, Chapter 12, Problem 1PQ , additional homework tip 2

The motion of moon around sun is a best example of circular motion. Moon revolving around Earth in such a way that keeping same side always facing Earth, and revolves in its on axis.

During the rotation of moon earth also spins in its axis. A rotating object cannot be considered as simple particle in translational motion. Thus particle model is insufficient to represent a motion as shown in figure 1.

Answer 14

Ch. 12.1 - Figure 12.5 shows two rotating objects. Indicate...Ch. 12.2 - Prob. 12.2CE Ch. 12.2 - Prob. 12.3CE Ch. 12.2 - Prob. 12.4CE Ch. 12.2 - Prob. 12.5CE Ch. 12.5 - For each exercise shown in Figure 12.22, how does...Ch. 12 - Often, we model the Moon as a particle in a...Ch. 12 - Suppose a satellite orbits the Earth such that it...Ch. 12 - Prob. 3PQ Ch. 12 - Prob. 4PQ

Often, we model the Moon as a particle in a circular orbit around the Earth. The same side of the Moon always faces the Earth. Sketch the Moon in its orbit. Explain in what way the particle model is insufficient.

Concept explainers

Videos

Answer to Problem 1PQ

Explanation of Solution

Want to see more full solutions like this?

Chapter 12 Solutions