Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 9, Problem 2P
To determine
To prove that the area swept by a orbiting particle is
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A solid copper sphere of mass M and radius R has a cavity of radius ½ R. Inside the cavity a particle of mass m placed a distance d > R from the center of the sphere along the line connecting the centers of the sphere and the cavity. Find the gravitational force on m.
A communications satellite is to be placed in a geo-
stationary orbit.
(a) What must the period and orientation of the
orbit be?
(b) What is the radius of the orbit?
(c) If a radio signal is sent to the satellite from a
transmitter at latitute 45°N, what is the shortest
time taken for its reflection to reach the Earth?
Compute the gravitational attraction on a unit mass at the origin due to the mass (of constant density) occupying the volume inside the sphere r = 2a and above the plane z = a. Hint: The magnitude of the gravitational force on the unit mass due to the element of mass dM at (r, θ, φ) is (G/r2)dM. You want the z component of this since the other components of the total force are zero by symmetry. Use spherical coordinates.
Chapter 9 Solutions
Modern Physics
Ch. 9.2 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9 - Prob. 1QCh. 9 - Prob. 2QCh. 9 - Prob. 3QCh. 9 - Prob. 4QCh. 9 - Prob. 5QCh. 9 - Prob. 6QCh. 9 - Prob. 7QCh. 9 - Prob. 8Q
Ch. 9 - Prob. 9QCh. 9 - Prob. 11QCh. 9 - For a one-electron atom or ion, spinorbit coupling...Ch. 9 - Prob. 14QCh. 9 - Prob. 1PCh. 9 - Prob. 2PCh. 9 - Prob. 4PCh. 9 - The force on a magnetic moment z in a nonuniform...Ch. 9 - Consider the original Stern–Gerlach experiment...Ch. 9 - Prob. 7PCh. 9 - Consider a right circular cylinder of radius R,...Ch. 9 - Prob. 9PCh. 9 - Prob. 10PCh. 9 - Prob. 11PCh. 9 - Prob. 12PCh. 9 - Prob. 13PCh. 9 - Prob. 14PCh. 9 - Prob. 15PCh. 9 - Prob. 16PCh. 9 - Prob. 17PCh. 9 - Prob. 18PCh. 9 - Prob. 21PCh. 9 - Prob. 22PCh. 9 - Prob. 23PCh. 9 - Prob. 24PCh. 9 - Prob. 25P
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
- Calculate the effective gravitational field vector g at Earths surface at the poles and the equator. Take account of the difference in the equatorial (6378 km) and polar (6357 km) radius as well as the centrifugal force. How well does the result agree with the difference calculated with the result g = 9.780356[1 + 0.0052885 sin 2 0.0000059 sin2(2)]m/s2 where is the latitude?arrow_forwardA thin, circular ring B (mass m, radius r) is placed in the gravitational field of a particle P (mass M). Unit vectors ô are fixed in the ring and the ring is uniform. The unit vector bis directed from P to the ring center of mass B* and is normal to the ring plane. Let r = .75 R. Determine the exact gravity force on B due to P. (You can integrate with a thin ring!!) Use this F and locate the c.g.exact Mark its relative location on the sketch. exact b₂ D B* b, R P (M)arrow_forwardAnswer without rounding off: (COLLAB Gauss's Law for Mass) Journey through the Center of the Earth. A 1024-kg blue ball is dropped from an initial z-position of 2.1 x 106 m through the center of a planet with a radius of 7.7 x 106 m. If the mass of the planet is 46.5 x 1015 kg, measure the displacement of the ball at time t = 6 s?arrow_forward
- Show that the areal velocity for a circular orbit of radius r about a mass M is ΔA/Δt =1/2 √GMr . Does your expression give the correct value for Earth’s areal velocity about the Sun?arrow_forwardIn a 2-body system, a space craft is in a circular orbit at a fixed radius B (450*10^8) around a central star of mass M (6*10^120) Determine the total energy and angular momentum of the circular orbit. (v/m = -E/m) and angular momentum (l/m) Both of these values are normalised by the mass of the spacecraft.arrow_forwardConsider a system of N particles in a uniform gravitational field. Prove that the total gravitational torque about the CM is zero.arrow_forward
- For an elliptic Earth orbit find the ratio of the time required to travel from a point on the lower latus parameter (ν = −π/3) to the opposite point on the upper latus parameter (ν = π/2) compared to the orbit period. Express the result as a function of the orbit eccentricity e as the only variable. Check the result as e → 0 and verify that the vanishing of the eccentricity produces the expected resultarrow_forwardA homogeneous circular disc with radius R = 5.05 m and thickness t = 10.1 · 10^−3 m rotates around the z-axis (perpendicular to the disc, see figure). A rectangular hole is cut out in the centre of the disc with the base b = 4.642 m and the height h = 4.72 m. Calculate the mass of the disc if there is no hole and the density of the disc varies according to ρ(r) = 1.39 · r kg/m^3, where r is the distance to the center of the disc. Tip: use m = 2πt∫r · ρ(r) dr.arrow_forwardSolve the sup-part (A) only, only typingarrow_forward
- The answer key to this problem is stated as follows: x(t) = (4.0 cm)cos[(2π/8.0 s)t - π/3.0] Did they get the answer wrong? How you solved the problem landed with 'pi/6' In the answer key, it is with 'pi/3). Can you please explain?arrow_forwardWhile standing on the surface of a spherical asteriod of mass M and radius R., and astronaut thows a small rock straight upward away from the center. What is the minimum speed she must give to the rock to reach a height h above the surface. Assume that h is not small compared to R. The asteriod has no atmosphere and take the rock's mass to be small compared to M.arrow_forwardDerive expressions for the velocity (~v) and acceleration (~a) vectors in spherical coordinates.That is, transform ~v and ~a from the Cartesian system of (x, y, z) to (r, θ, φ).arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning