Suppose that humans have created a colony outside of our solar system on a planet called Wfirst21. Wfirst21 has a mass of 1.45×1025 kg and a day that lasts 24.1 h (which defines the rotational period of the planet). The colony is located on the planet's equator. The colonists set up a communications satellite which orbits Wfirst21. The satellite has a circular orbit that keeps it positioned directly above the colony. Calculate the radius

A satellite has an orbital radius 100 km above the Earth's surface. Earth has a mass pf 5.97x10^24kg and a radius of 6.38x10^6m.  a. what is the speed of the satellite? b. How many minutes does it take the satellite to complete one orbit

An undiscovered planet, many lightyears from Earth, has one moon in a periodic orbit. This moon takes 1810 × 103 seconds (about 21 days) on average to complete one nearly circular revolution around the unnamed planet. If the distance from the center of the moon to the surface of the planet is 255.0 × 106 m and the planet has a radius of 3.30 × 106 m, calculate the moon's radial acceleration ?cac.

A satellite orbits earth at a distance of 670km above the surface of the earth. The radius of the earth is RE=6357km. The mass of the earth is ME = 5.97 × 1024 kg. The gravitational constant is 10-11 Nm² G = 6.67 × kg² Determine the speed of the satellite (in km). hr

1) What is the speed of the satellite in m/s?

A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.02 × 104 m/s. The mass of the planet is M = 5.94 × 1024 kg. The mass of the satellite is m = 4.7 × 103 kg. Enter an expression for the magnitude of the gravitional force F in terms of M,R,m and the gravitional constant G. Enter an expression for the radius in terms of G,M and R. Enter an expression for the gravational potetial energy PE in terms of G,M,m and R. Enter an expresssion for the centripal acceleration of the satellite ac in terms of the speed of the satellite v, and r.

How much work is required to lift a 800-kg satellite to an altitude of 3 · 106 m above the surface of the Earth? The gravitational force is F = GMm/r², where M is the mass of the Earth, m is the mass of the satellite, and r is the distance between the satellite and the Earth's center. The radius of the Earth is 6.4 · 106 m, its mass is 6 · 10²4 kg, and in these units the gravitational constant, G, is 6.67. 10-¹¹. Work = (include help (units); for this problem assume all given constants are accurate to many significant figures.)

Two spherical objects have masses of 1.8*10^6 kg and 4.1*10^4 kg.  The gravitational attraction between them is 69 N.  How far apart are their centers?  What is the gravitational acceleration from the center of a spherical object whose mass is 4.3*10^23 kg at a distance of 5.0*10^6 m?

One of your summer lunar space camp activities is to launch a 1130 kg rocket from the surface of the Moon. You are a serious space camper and you launch a serious rocket: it reaches an altitude of 217 km. What gain AU in gravitational potential energy does the launch accomplish? The mass and radius of the Moon are 7.36 × 1022 kg and 1740 km, respectively. AU = J

7. a. Planet Alpha has a mass of 2.34 × 1025 kg and a radius of 5.67 × 107 m. What is the gravitational acceleration on the surface of the planet? b. What is the gravitational potential energy of an 891 kg object when it is 1.23 × 108 m from the center of the planet?