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# Orbits

### Elliptical Orbit (Speed; Distance)

Mercury moves in a fairly elliptical orbit around the sun. Mercury's speed is 38.8 km/s when it is at its most distant point, 6.99*10^9 m from the sun. (A) How far is Mercury from the sun at its closest point, where its speed is 59.0 km/s? Your answer should be in meters.

### Geosynchronous Satellite (Equatorial Orbit; Radius of Orbit)

A satellite that goes around the earth once every 24 hours is called a geosynchronous satellite. If a geosynchronous satellite is in an equatorial orbit, its position appears stationary with respect to a ground station, and it is known as a geostationary satellite. A. Find the radius R of the orbit of a geosynchronous satellit

### Groups

Prove that if G is a finite group of prime power order p^a, then the center Z(G) can not be the identity subgroup.

### Mass and Density of Sun

a) Calculate the mass of the sun from the radius of the earth's orbit (1.5 x 10^11 m)., the earth's period in its orbit, and the Universal Gravitational Constant, G. b) What is the density of the sun and how does it compare with the density of the earth? (The sun's radius is 6.96 x 10^ 8 m).

### Patterns from Closest Objects to the Earth

9. Which answer shows a pattern from the closest object to the Earth to the farthest from the Earth? (a) Space Shuttle in orbit --- Stars --- Pluto (b) Pluto --- Space Shuttle in orbit --- Stars (c) Stars --- Space Shuttle in orbit --- Pluto (d) Stars --- Pluto --- Space Shuttle in orbit (e) Space Shuttle in orbit --- Plu

### Working with schrodinger atomic model - Quantum states

Please see the attached file. According to the Schrodinger atomic model, each quantum state of an atom or ion can be labelled using two quantum numbers n and l. Write down a formula for the energy of each of the quantum states of the hydrogen like boron ion B4+. For a given value of n, state how the number of quantum s

### Electric Potential of Hydrogen's Electron from Bohr Model

In the Bohr model of the hydrogen atom, an electron can orbit a proton (the nucleus) in a circular orbit of radius 4.76x10^-10m. What is the electric potential at the electron's orbit due to the proton?

### Photon emission during transition

The electron of a hydrogen atom is initially at the orbit n=4. If this electron first goes to the orbit n=3 and then to the orbit n=2 and then to the orbit n=1, how many photons are emitted during these transitions? How many photons are emitted if the electron directly falls from the orbit n=4 to the orbit n=1?

### Parabolic orbits

Question in attachment

### Space station orientation for maximum voltage difference

Imagine a space station module shaped like a cylinder 30m long and 5m in diameter orbiting close to the earth above the earth's equater. What would be the maximum potential difference that could develop between the ends of the module. (I know that potential difference=EL but how do I find E? It is also equal to VB/C or v*magnet

### Synodic and sidereal period of moon

Why are the synodic and sidereal period of moon different?

### Particles in orbit

The solar wind is a continuous stream of particles, mostly protons and electrons, moving away from the Sun. When the particles encounter Earth's upper atmosphere, they are moving at speeds of several hundred km/s. If such a particle reaches Earth's upper atmosphere with a speed of 92 km/s, how fast was it moving when it cross

### What is the maximum tangential speed the ball can have before the string breaks?

A mass M of 2.71 kg is attached to the end of a string whose length is 0.640 m. The mass slides without friction on a horizontal surface. If the string can withstand a maximum tension of 77.1 N, what is the maximum tangential speed the ball can have before the string breaks?

### Orbital Velocity of the Atomic Electron

A hydrogen atom when in its lowest energy state consists of a proton of charge +e and an electron of charge -e and mass 9.1x10-31 kg. In the Bohr model of the atom, the electron moves around the nucleus in a circular orbit of radius 0.51x10-10 m. Determine the speed that another electron, starting very far away from the hydrogen

### Period of the motion of a satellite orbiting above the surface of the earth

A satellite is placed in a circular orbit 600km above the surface of the earth. Find the period of the motion of this satellite.

### Light: Electrons energy orbit; photoelectric emission; radio waves; polarized light

PART ONE: A bright line in the spectrum of an element such as hydrogen is associated with: A) an electron orbit of low energy B) an electron orbit of high energy C) the transfer of an electron from a low energy orbit to a high energy orbit D) the transfer of an electron from a high energy orbit to a low energy orbit

### Radius of orbit of electron; required electric field strength

An electron enters a uniform magnet field having a flux density 200uT at a speed of 2x10 6 ms-1 perpendicular to the field. Determine the radius of its orbit, then find the required electric field strength, applied perpendicular to the magnetic field, if the electron is to be continue in a straight line on entering the combined

### Determining the distance of Halley's Comet from the sun at perihelion and aphelion and its speed when closest to the sun.

Halley's comet is in an elliptic orbit about the sun. The eccentricity of the orbit is 0.967 and the period is 76 years. The mass of the sun is 2 x 10^30 kg and G=6.67 x 10^-11 Nm^2/kg^2. a) Using this data, determine the distance of Halley's Comet from the sun at perihelion and at aphelion. b) What is the speed of Halle

### Transferring a circular orbits radius using kinetic energy

A space vehicle is in a circular orbit about the earth. The mass of the vehicle is 3,000 kg and the radius of the orbit is 2Re= 12,800km. The vehicle must be transferred to a circular orbit of radius 4Re. a) What is the minimum energy expenditure required for the transfer? b) An efficient way to accomplish the transfer is

### Minimum escape velocity

A rocket is in an elliptic orbit around the earth. To put it into an escape orbit, its engine is fired briefly, changing the rocket's velocity by (delta) V. Where in the orbit, and in what direction, should the firing occur to attain an escape with a minimum value of (delta) V?

### Physics: Satellite in circular orbit around Earth; Find period, speed, height

An observation satellite whose mass m= 4800 kg is to be put into a circular orbit around the earth at a height h= 322000 m above the surface in a precise north-south orbit. See attachment #1. PART a. In this orbit, find the force of gravity exerted by the earth on the satellite. PART b. Find the speed, v, and the period, T,

### Satellite orbit around earth

A satellite at r(0) =10,000 miles from the center of the earth is given an initial velocity v(0) = 20,000 ft/s in the direction shown(getting further away). Determine the magnitude of the transverse component of the satellites velocity when r=20,000mi.(the radius of earth is 3960mi.)

### Attraction Between an Electron and a Proton

The gravitational attraction between an electron and a proton in a hydrogen atom is weaker than the coulomb attraction by a factor of about 10-40. An alternative way of looking at this fact is to estimate the radius of the first Bohr orbit of a hydrogen atom if the electron and proton were bound only by gravitational attraction.

### Coulomb interaction according to classical radiation theory

A particle with mass m and electric charge q is bound by the Coulomb interaction to an infinitely massive particle with electric charge -q. At t=0 its orbit is (approximately) a circle of radius R. At what time will it have spiralled into R/2? (Assume that R is large enough so that you can use the classical radiation theory than