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The Dyson sphere is an hypothetical spherical structure centered around a star. Inspired by a science fiction story, physicist Freeman Dyson described such a structure for the first time in a scientific paper in 1959. His basic idea consisted of an artificial spherical structure of matter built around a star at a distance comparable to a planetary orbit, with the purpose of capturing the energy radiated by the star and reusing it for industrial purposes. Assume the mass of the sun to be 2.00×1030kg .
A) Consider a solid, rigid spherical shell with a thickness of 100m and a density of 3900kg/m3 . The sphere is centered around the sun so that its inner surface is at a distance of 1.50×1011mfrom the center of the sun. What is the net force that the sun would exert on such a Dyson sphere were it to get displaced off-center by some small amount?
B) What is the net gravitational force Fout on a unit mass located on the outer surface of the Dyson sphere described in Part A?
C) What is the net gravitational force Fin on a unit mass located on the inner surface of the Dyson sphere described in Part A?
A 58-kg skater sliding due northeast at an initial speed of 1.5 m/s runs into a snow bank and comes to rest in a time interval of 0.38 s, What is change in the kinetic energy of the skater
The total kinetic energy in one mole of nitrogen is 4,000 J. what is the root mean-square velocity of an individual particle in the ideal gas
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A stationary radar operator determines that a ship is 13km south of him. An hour later the same ship is 23km southeast. If the ship moved at constant speed and always in same direction, what was its velocity during this time? (Hint: Take the origi..
Block A of Figure has a velocity of 15 ft/sec down slope. How far will the block slide along the slope? How far will the block slide along the slope before stopping?
A laser beam of wavelength 580nm is incident normally on a transmission grating having 410lines/mm
What will be its length and height at rest
A cylindrical container 1.6 m tall contains mercury to a certain depth d. The rest of the cylinder is filled with water. If the pressure at the bottom of cylinder is two atmospheres, what is the depth d.
At a dock, a crane lifts a 2094 kg container 14 m, swings it out over the deck of a freighter, and lowers the container into the hold of the freighter, How much work is done by the crane on the container?
Average Rate of Work The loaded cab of an elevator has a mass of 3.00 multiplied by 103 kg and moves 235 m up the shaft in 23s at constant speed. At what average rate does the force from the cable do work on cab.
A ball of mass 1.020 g and positive charge q =45.2 microC is suspended on a string of negligible mass in a uniform electric field. We view that the ball hangs at an angle of theta=15.0 from the vertical. What is the magnitude of the electric field.
A flight attendant pulls hero 70 N flight bag a distance of 253 m along a level airport floor at a constant velocity. The force she exerts is 40N at an angle of 52.0 degrees above the horizontal.
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