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# Orbits

### Velocity of Neptune Circular Motion

Neptune orbits around the sun in a nearly circular motion. Neptune's mass is 1.10 x 10^26N. The radius between Neptune and the sun is 4.5 x 10^12m.The force of gravitational attraction between the two planets is 6.8 x 10^20N. Determine: A) The velocity of Neptune B)The period in years

### Satellite In Orbit: Find the altitude and the mass

When in orbit, a communication satellite attracts the earth with a force of 15.3 kN and the earth-satellite gravitational potential energy (relative to zero at infinite separation) is - 1.47Ã—1011 J. A) Find the satellite's altitude above the earth's surface. Take the radius of the Earth to be r_e = 6.38Ã—106 m. B) Find t

### Bohr radii and energy levels.

An electron of mass m is in a circular orbit in the potential U=0.5 k r^2. Using Bohr's quantization rule, find the allowed orbital radii and energy levels of this electron.

### Acoustics Fluid Wave Motion

A fluid is rotating with a velocity of , and , where &#946; is a constant and c is the speed of sound and is the density. When can a ray of sound move in a closed circle? See attached file for full problem description.

### Bohr orbit without electric charge

Derive the expression for Bohr radius and E if the electric charge did not exist and the electrons were bound to protons by gravitational force.

### Position function, Taylor's theorem, trajectory

This solution involves problems including position function, Taylor's theorem, and trajectories. See attached file for full problem description.

### Symmetric Groups and Disjoint Cycles

Suppose that Ï„ in Sn fixes no symbol. Show that Ï„ = &#956;^m for some n-cycle &#956; and positive integer m if and only if Ï„ is the product of disjoint cycles of equal length. I know that Ï„ can be written as the product of disjoint cycles, but am not sure how to proceed from there. See attached file for full problem d

### Electormagnetic Theory Question

2. A rod of uniform linear charge density +1.5 x 10-5 C/ m is bent into an arc of radius R = 0.10 m. The arc is placed with its center at the origin of the axis. A proton is placed at point O and held at rest. a) Determine the magnitude and direction of the force required to keep the proton at rest. (Ignore the effec

### Electron in orbit of a hydrogen like atom.

An external electron in a hydrogen like atom is moving around the nucleus in a circular orbit of radius R. A weak magnetic field perpendicular to the orbit is slowly turned on and increases to a magnitude B. assuming that the radius of the orbit does not change, find: a. the magnitude and direction(with respect to B) of magne

### Earth and Sun System Calculations

In this problem you are to make use of the formula P^2 = 4(pi)^2/mu *a^3, together with the fact that mu = G(m1 + m2). Assume, as is approximately correct, that the semi-major axis for the Earth's orbit about the Sun is 93 million miles and that the period is 365 days. Also assume that the semi-major axis for the Moon's orbit ab

### Velocity Required to Put an Object in Orbit

The velocity required to put an object into earth orbit is _______ km/sec.

### orbital speed of satellite

6. Two satellites orbit the Earth, with satellite 1 at a greater altitude than satellite 2. (a) Which satellite has the greater orbital speed? Explain. (b) Calculate the orbital speed of a satellite that orbits at an altitude of one Earth radius above the surface of the Earth. (c) Calculate the orbital speed of a satellite that

### De Broglie Hypothesis of Wavelength

I need some help with these questions on de Broglie hypothesis: (See attachment for better formula symbols) 1.a. Show how the de Broglie hypothesis for the wavelength of an electron can lead to an explanation of the condition for quantization of orbital angular momentum in the Bohr model for hydrogen atom. b. Show that the f

### Calculating gravitation for Halley's Comet

The orbital period of Halley's Comet is calculated to be 75.5 years. Many other comets have orbits that extend much farther from the sun, and hence have much longer periods. At aphelion, a typical long-period comet is about from the sun; at perihelion, it passes inside the earth's orbit. 1. Estimate the orbital period of suc

### Gravitation of a Satellite

If a satellite is in a sufficiently low orbit, it will encounter air drag from the earth's atmosphere. Since air drag does negative work (the force of air drag is directed opposite the motion), the mechanical energy will decrease. According to the following equation: (See attached file for full problem description) E= - GmEm/

### Gravitation and Satellite Orbit

Planet X rotates in the same manner as the earth, around an axis through its north and south poles, and is perfectly spherical. An astronaut who weighs w on the earth weighs w_1 at the north pole of Planet X and only w_2 at its equator. The distance from the north pole to the equator is L, measured along the surface of Planet X.

### To determine the expressions for a satellite's altitude and its mass in terms of the force of attraction from earth, potential energy and mass/radius of earth.

When in orbit, a communication satellite attracts the earth with a force of F and the earth-satellite gravitational potential energy (relative to zero at infinite separation) is - U. 1. Find the satellite's altitude above the earth's surface. Take the radius of the Earth to be r_e. 2. Find the mass of the satellite. Take

### Newton's Law of Gravitation and Masses

Please see attachment for full problem description. --- Learning Goal: To understand Newton's law of gravitation and the distinction between inertial and gravitational masses. In this problem, you will practice using Newton's law of gravitation. According to that law, the magnitude of the gravitational force between two s

### Finding the velocity of an orbiting space station

Assume the world of Neopia is a spherical planet with a diameter of 1600 km with a uniform density of 5200 kilograms per cubic meter. If the Virtupets Space Station is in a circular orbit 630 km above the surface of Neopia, what is its orbital velocity in meters per second? Please round up to the nearest whole number.

### A satellite of mass 150kg is launched into orbit above the surface of the Earth in a circular orbit. what is the speed of the satellite in its orbit? What is providing the centripetal force on it? Find its value.

A satellite of mass 150kg is launched into orbit above the surface of the Earth in a circular orbit. what is the speed of the satellite in its orbit? What is providing the centripetal force on it? Find its value.

### Set of four problems on circular and planetary motion.

1.An object is attached to a 1.60 meter rope and twirled in a horizontal circle on a frictionless table. The tension on the string is 585 Newtons and the ball takes 1.46 seconds to complete one revolution. Determine the mass of the object (in kg to two decimal places). 1a. if the mass of the object were doubled (keeping a c

### Gravitation: Distance between earth and the moon.

Assume that the moon orbits the earth in a circular orbit. From the observed orbital period of 27.3 d, calculate the distance of the moon from the center of the earth. Assume that the motion of the moon is determined solely by the gravitational force exerted on it by the earth, and use the mass of the earth given in appendix F.

### Gravitation: Force, Field and Satellite

(See attached file for full problem description with equations and diagram) 1. A 2150 kg satellite used in a cellular telephone network is in a circular orbit at a height of 780 km above the surface of the earth. What is the gravitational force on the satellite? What fraction is this of its weight at the surface of the earth?

### Magnetic computer Disk

(See attached file for full problem description) --- A magnetic computer disk 8.0 cm in diameter is initially at rest. A small dot is painted on the edge of the disk. The disk accelerates at for , then coasts at a steady angular velocity for another . Part A What is the speed of the dot at t = 1.0 s? Part B Through ho

### Solving Physics Questions

1. Give an example of a situation in which there is a force and a non-zero displacement, but the force does no work. Explain why it does no work. 2. What is a conservative force? 3. (a) Calculate the work done on a 1500 kg elevator by its cable to lift it 40.0 m at constant speed, assuming friction averages 100 N. (b) What i

### Orbital Velocity Formats

Suppose an electron could orbit a proton at a constant distance of 1.11 Angstroms, with the the centripetal force coming from the Coulomb attraction between proton and electron. - What would be its orbital velocity, orbital KE, electrostatic PE relative to infinite separation, and total energy? - What would be its deBroglie

### Kepler's Laws and Earth Satellites: Center of Mass

Calculate the center of mass of the Earth-Moon system, if the radius of the earth is 6380 km is it inside the earth? For the MOON and the EARTH [M sub E = 6.0 x 10^24kg, M sub M = 7.4 x 10^22 kg], [R sub orbit = 3.84 x 10^8 m].

### Answers needed for different questions of general chemistry

Question 16 Multiple Choice 20 points In which pair are the elements most similar in their chemical properties? Ca and Ba S and P Ag and Rb Cs and Xe Question 17 True/False 20 points In Lewis dot structures, lone pairs are valence electrons not involved in covalent bonding. Tr

### Kepler's Laws and Venus Satellites

Venus has a rotational period of 243 days. What would be the altitude of a synchronous satellite for this planet (similar to geosynchronous satellite on the Earth)?

### Orbit Frequency of an Electron

The hydrogen atom may be described as a postively charged proton surrounded by an orbiting, negatively charged electron. In a simple model, the electron is in a circular orbit of radius r= 5.29 x 10( to the negative 11) m about a stationary proton. The mass of the proton is mp= 1.67 x 10 (negative 27)kg and the mass of the proto