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    Orbits

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    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

    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?

    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

    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

    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

    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

    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

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