The mass of planet Jupiter is 1.9 x 10 kg and that of sun 1.99 × 103° kg. The mean distance of the sun from Jupiter is 7.8 x 10" m. Calculate the gravitational force which the sun exerts on Jupiter. Assuming that Jupiter moves in a circular orbit around the sun, calculate the speed of Jupiter.

A planet orbiting a distant star has radius 3.54×106 mm. The escape speed for an object launched from this planet's surface is 7.65×103 m/sm/s. What is the acceleration due to gravity at the surface of the planet? Express your answer with the appropriate units.

The acceleration due to gravity at the moon's surface is 1.67 ms^-2. If the radius of the moon is 1.74 x 10^6 m. Calculate the mass of the moon. Use the known value of G.

On a planet whose radius is 1.2 × 107 m , the acceleration due to gravity is 18 m/s2 . What is the mass of the planet?

Fg KE = mv², Ug Gm₂mz r2 == 2 ac -2²₁v=2²7₁9= = 27, g = GM, Vesc = = Gm₁m₂ T 2GM VR E = KE + Ug, G = 6.674 x 10-¹1 N. m²/kg² }

A satellite m = 500 kg orbits the earth at a distance d = 199 km, above the surface of the planet. The radius of the earth is re=6.38×106 m and the gravitational constant G =6.67×10-11 N m2/kg2 and the Earth's mass is me=5.98×1024 kg. 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 = 1.01 x 10* m/s. The mass of the planet is M = 6.02 x 1024 kg. The mass of the satellite is m= 3.2 × 103 kg. Enter an expression for the kinetic energy KE of the satellite in terms of m and v. Calculate the value of KE in joules. Enter an expression for the magnitude of the gravitational force F in terms of M, R, m and the gravitational constant G. Enter an expression for the centripetal acceleration of the satellite a, in terms of the speed of the satellite, v, and R. Enter an expression for the radius R in terms of G, M and v. Calculate the value of R in meters. Enter an expression for the gravitational potential energy PE in terms of G, M, m, and R. Calculate the value of PE in joules. Enter an expression for the total energy E of the satellite in terms of m and v. Calculate the value of the total energy E in joules.

A 2270 kg space station orbits Earth at an altitude of 5.01×10^5 m. Find the magnitude of the force with which the space station attracts Earth. The mass and mean radius of Earth are 5.98×10^24 kg and 6.37×10^6 m, respectively.

A sphere of copper has a radius of 50.0 cm and a mass of 4690 kg. A sphere of unknown metal has a radius of 30.0 cm. The surfaces of the sphere are 20.0 cm apart. The force of gravitational attraction between the two spheres is 0.372 nM. What is the mass of the unknown metal?

Find the magnitude of the gravitational force (in N) between a planet with mass 7.25 ✕ 1024 kg and its moon, with mass 2.50 ✕ 1022 kg, if the average distance between their centers is 2.90 ✕ 108 m.  N (b) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.)  m/s2 (c) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.)  m/s2