An astonaut stands on the surface of the moon.  If the astronaut has a  mass of 86.0 kg what is the astronaut's weight?  Radius of the moon is 1,737 km and the mass of the moon is 7.35 X 10^22 kg.   Please explain the equate and the work to do this problem.

A satellite is in orbit above a planet. Which of the following is TRUE? 1. The total energy of the satellite is positive 2. The kinetic energy and GPE of the satellite is negative 3. The kinetic energy and GPE of the satellite is positive 4.The total energy and GPE of the satellite is negative

An exotic planet Vogsphere is known to have a mass that is 1/81 that of the Earth and a radius 0.25 that of the Earth. Astrophysicist Trillian built a rocket and decided to leave the planet and never to return. Given that the escape speed from the Earth is 11.2 km/s, with what speed must Trillian achieve his goal?

An asteroid, whose mass is 2.0 × 10-4 times the mass of Earth, revolves in a circular orbit around the Sun at a distance that is 2.7 times the Earth's distance from the Sun. (a) Calculate the period of revolution of the asteroid in years. (b) What is the ratio of the kinetic energy of the asteroid to the kinetic energy of Earth? (a) Number i Units (b) Number i Units

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Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth's center. Satellite A is to orbit at an altitude of 5390 km. Satellite B is to orbit at an altitude of 22500 km. The radius of Earth REis 6370 km. (a) What is the ratio of the potential energy of satellite B to that of satellite A, in orbit? (b) What is the ratio of the kinetic energy of satellite B to that of satellite A, in orbit? (c) Which satellite (answer A or B) has the greater total energy if each has a mass of 11.7 kg? (d) By how much?

An asteroid is discovered to have a tiny moon that orbits it in a circular path at a distance of 147 km and with a period of 35.0 h. The asteroid is roughly spherical (unusual for such a small body) with a radius of 24.3 km. a) Find the acceleration of gravity at the surface of the asteroid. b) Find the escape velocity from the asteroid.

A satellite orbits a planet of unknown mass in a circle of radius 2 × 107 m. The magnitude of the gravitational force on the satellite from the planet is F = 80 N. a) What is the kinetic energy of the satellite in this orbit? b) What would F be if the orbit radius were increased to 3 x 107 m?

The sun has a mass of 1.99 X 10 ^30 kg and has a radius of 693600 km.  What is the acceleration due to gravity on the surface of the sun?   Please show me what formula and the work I need to answer this.

Zero, a hypothetical planet, has a mass of 4.7 x 1023 kg, a radius of 3.2 x 106 m, and no atmosphere. A 10 kg space probe is to be launched vertically from its surface. (a) If the probe is launched with an initial kinetic energy of 5.0 x 107 J, what will be its kinetic energy when it is 4.0 x 106 m from the center of Zero? (b) If the probe is to achieve a maximum distance of 8.0 x 106 m from the center of Zero, with what initial kinetic energy must it be launched from the surface of Zero? (a) Number: i Units: (b) Number: i Units: