What is the approximate escape speed in m/s from a tiny moon in orbit about Mars that has a mass of 0.97 x 1016 kg and a radius of 10.0 km. The gravitational constant is 6.67 x 10-11m3kg-1s-

A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.1 × 104 m/s. The mass of the planet is M = 6.04 × 1024 kg. The mass of the satellite is m = 1.2 × 103 kg. First, find an expression for the gravitational potential energy PE in terms of G, M, m, and R.  a)Calculate the value of PE in joules.  b)Enter an expression for the total energy E of the satellite in terms of m and v.  c)Calculate the value of the total energy E in joules.

Gravitational force is F = Gm1m2/r². Set G = 1 and m1 = 1, where m2 will be a planet with 1800 times Earth's mass (so m2 = 1800) and 30 times Earth's radius (so r = 30). What will F be?

The International Space Station, which has a mass of 4.94×105 kg, orbits 258 miles above the Earth's surface, and completes one orbit every 94.3 minutes. What is the kinetic energy of the International Space Station in units of GJ (109 Joules)? (Note: don't forget to take into account the radius of the Earth!) Enter answer here GJ