The mass of Earth is 5.972 × 1024 kg and it orbits the Sun at an average distance of 1.496 × 1011 m.

Scientists have discovered a distant planet with a mass of 8.2x1023 kg. The planet has a small moon that orbits with a period of 6 hours and 36 minutes. Use only this information (and the value of G) to calculate the radius of the moon's orbit (in units of 106 m).

A spacecraft is in a circular orbit around the planet kerbin at an altitude of 100 km. the radium of kerbin is 600km and the planet has a mass of M = 5.29*10^22kg. The universal gravitational constant is G = 6.67*10^-11 Write parametric equations for the position, velocity and acceleration vectors of the spacecraft in its orbital plane.

The is a planet orbiting the sun.  Its mass is 9.3 x 10^22kg and it is traveling in a circular orbit at 9.5km/s.  The suns mass is 1.982 x 10^31 kg.  How far is the planet from the sun?

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

Objects with masses of 220 kg and 410 kg are separated by 0.415 m. A 58.3 kg mass is placed midway between them. Find the magnitude of the net gravitational force exerted by the two larger masses on the 58.3 kg mass. The value of the universal gravi- tational constant is 6.672 × 10−11 N · m2/kg2. Answer in units of N. Leaving the distance between the 220 kg and the 410 kg masses fixed, at what distance from the 410 kg mass (other than infinitely remote ones) does the 58.3 kg mass experience a net force of zero? Answer in units of m.

A satellite is orbiting the earth in low orbit (160 km above the surface of the earth). If the universal gravitational constant is 6.67 x 10^-11 m^3/kg x s^2 the mass of the earth is 5.972 x 10^24 kg and the radius of the earth is 6371 km, what speed must the satellite travel in order to maintain the low earth orbit?

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.

The center of a 1200 kg satellite is 8.7 x 106 m from the center of the earth.  What is the gravitational force of attraction between the satellite and the earth?  (the mass of Earth = 5.97 x 1024 kg

A space agency sent a satellite to a nearby planet to take photographs over a period of several years. The satellite orbits the planet once every 6 hours and 10 minutes. If the satellite is orbiting at a radius of 9.44∗10^7 m, what is the mass of the planet?   4.34∗10^26 kg   8.22∗10^29 kg   1.01∗10^27 kg   7.04∗10^26 kg