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Suppose the Canadian Space Agency wished to place a 785 kg satellite in a circular orbit around the moon such that the satellite takes 18.2 hours for one complete revolution around the moon. How far away from the surface of the moon (in km) would the satellite be located? N.B. Mass of Moon = 7.35 x 1022 kg, Radius of Moon = 1.74 x 103 km

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Beverley Smith
Beverley SmithLv2
14 Oct 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A11. A space station and a weather satellite are orbiting theEarth. The space station is 8 times as far from the Earth’s centeras the weather satellite. If the period of revolution of theweather satellite is 24 hours, what is the period of revolution ofthe space station in hours? (Hint: use Kepler’s Third Law)

A12. During the lunar mission of Apollo 11, Armstrong and Aldrindescended to the moon's surface in the lunar module while Collinsremained in orbit in the command module. If the command module'speriod was 2 hours and 20 minutes, how high above the moon'ssurface did it orbit? (mmoon = 7.35 x 10^22 kg, Rmoon = 1.74 x10^6m, and G = 6.67 x10^–11 N · m2/kg2).

A rocket with mass M = 12.0 metric tons is moving around theMoon in a circular orbit at the height of h = 100 km. The brakingengine is activated for a short time to lower the orbital height sothat the rocket can make a lunar landing. The velocity of theejected gasses is u = 1.00*104 m/s. The Moon's radius isRM = 1.74*103 km; the acceleration of gravitynear the Moon's surface is gM = 1.62 m/s2

a) What amount of fuel will be used by the braking engine if itis activated at point A of the orbit and the rocket lands on theMoon at point B (see left part of figure)?

b) Suppose that, at point A, the rocket is given an impulsedirected toward the center of the moon, to put it on a trajectorythat meets the Moon's surface at point C (see right part of thefigure). What amount of fuel is needed in this case?

) Ion Rocket Engine. A special type of rocket engine useselectricity for propulsion: the ion engine. A soft metal, such ascesium, is vaporized and then electrified (ionized) with highvoltage. These cesium ions are the accelerated by strong electricfields to produce a current of atoms at high velocity. Outside theengine, the ions are then recombined with electrons to restoreelectrical neutrality.

A particular ion engine has an exhaust velocity of 20,000 m/sec.The mass flow (dm/dt) is just 1 milligram per second.

a) What is the thrust produced by this engine?

b) The engine propels a 200 kg spacecraft. What velocity change(delta-v) is achievable by running the engine continuously for onesolid year? (For simplicity, assume a constant mass for the system.One year = 31.56 million seconds.)
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) Potential Energy. How much work is required to lift one metricton (1000 kg) of water to an altitude of 1000 meters? (The Sun isdoing this all this time to the Earth’s weather.)
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q) Kinetic Energy 1. A car has a mass of 1200 kg. How much kineticenergy does it have when traveling at a speed of 30 m/sec?

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Kinetic Energy 2. The Space Shuttle orbits the Earth at a speed ofsome 7750 meters per second (which is about 260 times that of atypical highway driving speed). With a typical payload, the Shuttlehas a mass of 120,000 kg.

a) What is the kinetic energy of the Shuttle in orbit?
b) The Shuttle reaches orbit in some 500 seconds. At what rate ofwork (power) did the rocket engines perform on the Shuttle to placethe craft and its payload into orbit? Compare this to the maximumpower output of a typical nuclear electric generatingstation.
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Solar Power. In space, outside the atmosphere, some 1360 Watts ofradiant power pass through every square meter (at normalincidence).

a) What total amount of power does the Earth intercept from theSun? (The projected area of the Earth is ?RE2, where RE is theradius of the Earth, 6.38 million meters.)

b) Compare this figure to the total amount of power produced by allof human civilization, currently some 40 trillion (1012) Watts.What conclusions about solar power can you draw from thiscomparison?



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-) Angular Momentum. Assuming a uniform distribution of mass insidethe Earth, calculate:

a) the Earth’s moment of inertia, I;
b) its angular momentum, L = omega(omega=2pi/T) the angularmomentum of the Moon in its orbit around the Earth (L = mvr).Compare these two values. (The sidereal period of the Moon is 27.3days; its mass is 1/81 of that of the Earth; its average orbitalradius is 383,000 km.)

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Q0 Water Pressure. Calculate the value of the water pressure at theChallenger Deep, the deepest known place on the surface of theEarth. The currently accepted depth of the water there is 10,911meters. (This is deep enough to cover Mount Everest, and still havemore than one mile of water above the peak. On January 23, 1960,Swiss explorer Jacques Piccard and US Navy Lieutenant Don Walshbecame the first, and so far, the only people ever to visit thisremote place, descending in the Italian-built bathyscaphTrieste.)



q-8
Mass of Earth’s Atmosphere. The pressure of the Earth’s atmosphereat sea level is 101,300 Pascals (Newtons per square meter.) Thismeans that every square meter of Earth’s surface supports a weightof 101,300 Newtons. From this, determine the mass of Earth’satmosphere. What fraction of the Earth’s total mass is this?





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