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# Orbits

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### Angular speed of race car, tangential speed, loop-the-loop

1. A race car makes two and a half laps around a circular track in 3 mins. What is the car's average angular speed? Answer: - 0.087 rad/s 2. A wheel of radius 1.5m rotates at a uniform speed. If a point on a rim of the wheel has a centripetal acceleration of 1.2m/s^2, what is the point's tangential speed? Answer: - 1.3m/s

### Moon Circular Orbits

Approximately one billion years ago, the moon orbited the Earth much closer that it does today. The radius of the orbit was only 24 400 km. The orbital period was only 23 400s. Today the average radius is 385,000km; and the present period is 2.36x106s. Assuming that the orbit of the moon is circular, calculate the ratio of the s

### The Velocity of an Object in an Elliptical Orbit

A satellite is moving in an elliptical orbit with an eccentricity e = 0.25. Determine its speed when it is at its maximum distance A and minimum distance B from the earth. See the attached diagram for an illustration.

### Sunk cost and Opportunity Cost

Powell Corporation has spent \$3.5 billion over the past decade developing a satellite based telecommunication system. It is currently trying to decide whether to spend an additional \$350 million on the project. The firm expects that this outlay will finish the project and will generate cash flow of \$15 million per year over the

### Object in Geosynchronous Orbit Around the Earth

Calculate the speed at which an object (200 miles above the equator) in geosynchronous orbit around the earth would be traveling. Show all work. State all assumptions. Show answer in units of miles/hour, km/hour, ft/sec, and m/sec.

### Central force/scattering

A particle moves in a spherical finite well Show that the scattering produced by such a potential is identical with the reflection of light rays in a sphere of radius a and relative refracting index of n = sqrt(1+V/E) Show that the differential cross section is (see attachment for expression)

### Orbital dynamics

A particle of mass M moves under the action of an isotropic harmonic oscillator force with potential energy U=kr^2 / 2 and angular momentum L. 1. Find the possible orbits, the frequency of the motion for circular orbits and the frequency of small oscillations in the radial direction caused by perturbations that make the move

### Gravitation: Radius and Period of Orbits

Question: Calculate the period of a satellite in an orbit just above the Earth's atmosphere (whose thickness may be neglected). Find also the periods for close orbits around the Moon and Jupiter.

### The Motion of a Particle in a Central Inverse-Square Law

Discuss the motion of particles in a central inverse-square-law force field for a superimposed force whose magnitude is inversely proportional to the cube of the distance from the particle to the force center. Please see the attached file for the full question.

### Environmental Factors and Domestic Marketing Decisions - Orbits Worldwide

Please list how domestic/global marketing decisions can be affected by factors in the environment. Include: a. Pick an organization that engages in global and domestic marketing b. In terms of the company's marketing decisions, what impact do environmental factors and high-level domestic factors have? c. What impact does

### Saturn, Titan and Jovian Planets

1. What did the Voyager mission discover about the main rings of Saturn? a. There are several moons inside the inner-most ring. b. The ring system is much thicker than originally believed. c. They were less dense than the rings of Jupiter. d. They are composed of tens of thousands of narrow ringlets. e. There are hund

### Formulas

See attached Section 9.1, Page 550 108) Comparing wind chills. Through experimentation in Antarctica, Paul Siple developed the formula to calculate the wind chill temperature W (in degrees Fahrenheit) from the wind velocity v (in miles per hour, mph) and the air temperature t (in degrees Fahrenheit). Use this formula to

### Force on a Satellite Due to Drag

See the attached files. Calculate the force on a satellite due to drag and the mass of propellant needed to overcome the drag force. Sun synchronous orbit alt = 700 km Mass of satellite = 800 kg Assume Cd = 2 Thruster Isp = 80 s Propellant = N2 (Molecular Weight = 28, etc) Propellant temperature = 280 K Length of sate

### Physics - Classical Mechanics: Circular Orbits

Whenever two Apollo astronauts were on the surface of the Moon, a third astronaut orbited the Moon. Assume the orbit to be circular and 100 km above the surface of the Moon, where the acceleration due to gravity is 1.52 m/s^2. The radius of the Moon is 1.70x10^6 m. Show all work (a) Determine the astronaut's orbital speed.

### Contractual theory, social responsibility of corporations, charges against multinationals

A) What are the objections to the Contractual Theory. B) What are the cultural differences raised for multinationals in regards to bribery and double standards. c) To whom do corporations have responsibilities? Discuss, with examples, how these responsibilities inevitably lead to ethical disagreement? D)Trust is a pillar of

### Algebra - Kepler's Harmonic Law

Problem: A result of Kepler's harmonic law is that the mass of a planet (M) with a satellite is directly proportional to the cube of the mean distance (d) from the satellite to the planet and inversely proportional to the square of the period of revolution )p). Early astronomers estimated the mass of the earth to be 5.976 x 1024

### 7 Multiple choice questions on various phenomenon of physics

Please assist with the attached problems that I am having problems solving. Any help is appreciated. Thank you. 1. The x and y components of a displacement vector are -3.00 m and +4.00 m, respectively. What angle does this vector make with the positive x axis? a. 233 degrees b. 127 degrees c. -53.0 degrees d. 53.0 degre

### Spin-orbit coupling

Could you please show me how to do the problem attached? Just give me the formulae and tell me the method how to do the problem and I'll do the calculations and graphs myself. Thank you.

### Saturn and Enceladus

In 2005 the Cassini spacecraft, in orbit around Saturn, discovered that Saturn's small, icy moon Enceladus was volcanically active ... (Please see the attached file.)

### Conics, Sequences, and Series - (1) A satellite has an elliptical orbit around the earth with one focus at the earth's center, E. The earth's radius is 4,000 miles, the highest point that the satellite is from the surface of the earth is 800 miles, and the lowest is 200 miles. Find the eccentricity of the satellite's orbit. Please submit your answer with work shown in an equation editor (or best way possible) ...and 11 other questions.

(1) A satellite has an elliptical orbit around the earth with one focus at the earth's center, E. The earth's radius is 4,000 miles, the highest point that the satellite is from the surface of the earth is 800 miles, and the lowest is 200 miles. Find the eccentricity of the satellite's orbit. Please submit your answer with work

### Magnetic Field Effects of Current

Question 1: An infinitesimal current element Idl is located at the point x = 0.05m, y =0, z = 0 in a cartesian coordinate system. The current element points in the direction of the positive z-axis and has magnitude 2x10^-6 A m. Calculate the magnitude and direction of the magnetic field due to this current element at the point

### Magnitude of Two Charged Particles

Please see the attached file. Please solve with explanations included. Two charged particles are traveling in circular orbits with the same speed in a region of uniform magnetic field that is directed into the page, as shown. The magnitude of the charge on each particle is identical, but the signs of the charges are unequal.

### Set of 10 problems on circular motion.

Please see attachment.

### The Mid Atlantic Ridge is found

1) The Mid Atlantic Ridge is found : a) near the middle of a continental plate. b) where two tectonic plates collide c) along divergent plate boundaries d) at a subduction zone e) associated with a hot spot. 2) The magnetic stripes from seafloor data recorded off the coast of Vancouver and Washington State: a) were cr

### Dimensional analysis in quantum mechanics

(a) Find the only way to construct a length from the parameters in the Schrodinger equation for the harmonic oscillator. Compare the result with the classical amplitude of oscillation when the energy is hw/2. where h=h-bar (b) Find the only way to construct a length from the parameters in the Schrodinger equation for the h

### Distance between the television viewer and the celebrity

1. A celebrity holds a press conference, which is televised live. A television viewer hears the sound picked up by a microphone directly in front of the celebrity. This viewer is seated 2.6 m from the television set. A reporter at the press conference is located 3.7 m from the microphone and hears the words directly at the very

### Identifying the Hypothesis Statement

Science in space In the decades following the first Sputnik and Explorer satellites, the ability to put their instruments into outer space gave scientists the opportunity to acquire new information about the natural universe, information that in many cases would have been unobtainable any other way. Space science added a new d

### Eccentricity of Elliptical Orbit of a Satellite

A satellite has an elliptical orbit around the earth with one focus at the earth's center, E. The earth's radius is 4000 miles, the highest point that the satellite is from the surface of the earth is 800 miles, and the lowest is 200 miles. Find the eccentricity of the satellite's orbit.

### Spacing for Energy Levels

Apart from analyzing the results from the Bohr Formula Is there a reason why the spacing gets smaller? Such as the orbits being further away from the nucleus so there is less pull on the electrons. See the link below for the diagram. http://dev.physicslab.org/Document.aspx?doctype=3&filename=AtomicNuclear_EnergyLevelDiag

### Angular Frequency, Radius of Satellite Orbit.

Angular Frequency, Radius of Satellite Orbit. See attached file for full problem description.