(a) Calculate the escape velocity of an object on the Earth, assuming a mean gravitational acceleration of 9.81 m s- and mean Earth radius of 6371 km. (b) What is the escape velocity of the same object on the Moon?

A Fall on the Moon. You and your team are stationed at an earth-based mission control facility and have been tasked with assisting astronauts via radio communication as they exit a spacecraft that has recently landed on the moon. The astronauts intended to explore the lunar surface but, unfortunately, they hit a snag even before they opened the hatch. Their craft has landed right on the edge of a 15-ft cliff, so that there is no way off the lander except to drop that distance from the bottom rung of a ladder on the side of the ship. You look up the structural parameters of the space suits, the gear they are wearing, and the physical limitations of the crew, and find that, on earth, the maximum drop they can safely endure is 4.0 ft. (a) Is it safe for them to make the 15-ft drop on the moon? (b) What is the maximum drop they can safely endure on the moon? Note that the acceleration due to gravity on the moon is one-sixth as large as that on earth.

An object is thrown upward with a speed of 15.2 m/s on the surface of planet X where the acceleration due to gravity is 1.8 m/s². What is the maximum height reached by the object? Answer: Check

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?