A satellite is held in orbit that is 310 km above the surface of the Earth by a gravitational force of magnitude 14,637 N. Given that the mass of the Earth is 6×1024 kg, its radius is 6,360 km, and the universal gravitational constant is 6.67×10 -11 N⋅m2/kg2, determine the mass of the satellite

The ratio of the gravitational field at an altitude 2 RF above the Earth's surface (R = the radius of the Earth) to the field at the Earth's surface is 1/9 1/3 9

The International Space Station (ISS) is a space station orbiting the earth above the ground. If the radius of the earth is 3,958.8 miles, mass of earth is 5.972 x 10 24 kg,  the period of the ISS at the orbit around the earth is 14.137 hours, can you calculate what is the distance from the ISS to the surface of the earth, in unit of miles? Use G=6.674 x 10 -11 Nm2/kg2. Write your answer in pure numbers, for example, 4567.8. Please keep at least on digit after the decimal point.

During a solar eclipse, the Moon is positioned directly between Earth and the Sun. The masses of the Sun, Earth, and the Moon are 1.99 × 10³0 kg, 5.98 × 1024 kg, and 7.36 × 1022 kg, respectively. The Moon's mean distance from Earth is 3.84 × 108 m, and Earth's mean distance from the Sun is 1.50 × 10¹¹ m. The gravitational constant is G = 6.67 × 10-¹1 N-m²/kg². Find the magnitude F of the net gravitational force acting on the Moon during the solar eclipse due to both Earth and the Sun. F = What is the direction of this force? toward Earth toward Venus toward the Sun elsewhere N

An astronomer observes a planet orbiting a star with a period of 8.7 years and a semimajor axis of 2.7 × 10° km. Find the mass of the star. The universal gravitational constant G = 6.673 × 10-11 m³ kg¬1 s-2.

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.

A rover has a mass of 285.9 kg when weighed on Earth. What is the rover's mass if weighed on a planet with a gravitational constant of 6.4 m/s²? Answer: Okg

An object is orbiting at a distance of 1.0 x 107 m from the center of a planet. The gravitational force between the object and the planet is 10.0 N. What would the gravitational force be if the object were orbiting at a distance of 5.0 x 106 m?

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?