(II) Planet A and planet B are in circular orbits around adistant star. Planet A is 7.0 times farther from the star thanis planet B. What is the ratio of their speeds v/A/vB ?

(II) A hypothetical planet has a mass 2.80 times that of Earth, but has the same radius. What is g near its surface?

A satellite is in an elliptic orbit around the earth. Its sped at perigee A is 8650 m/s.  Use conservation of energy to determine the speed at the apogee C. Radius of earth is 6380 km. Chapter 8 question 99 page 212 figure 8-46 in Giancoli Physics 4th edition

(II) Determine the distance from the Earth’s center to apoint outside the Earth where the gravitational accelerationdue to the Earth is 1/10 of its value at the Earth’s surface.

(III) (a) Show that if a satellite orbits very near the surface of a planet with period T, the density (= mass per unit volume) of the planet is p = m/V = 3™/GT². (b) Esti- mate the density of the Earth, given that a satellite near the surface orbits with a period of 85 min. Approximate the Earth as a uniform sphere.

(II) Determine the time it takes for a satellite to orbit theEarth in a circular near-Earth orbit. A “near-Earth” orbitis at a height above the surface of the Earth that is verysmall compared to the radius of the Earth. [Hint: You maytake the acceleration due to gravity as essentially the same asthat on the surface.] Does your result depend on the massof the satellite?

(II) Every few hundred years most of the planets line up on the same side of the Sun. Calculate the total force on the Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in a line, Fig. 5-44. The masses are ту — 0.815 mЕ, Mу — 318 ТЕ, Msat — 95.1 тE, and the mean distances of the four planets from the Sun are 108, 150, 778, and 1430 million km. What fraction of the Sun's force on the Earth is this? 318 тE, MSat 95.1 mẸ, Venus Earth Sun Jupiter Saturn FIGURE 5-44 Problem 41 (not to scale).

a satellite of mass 66 kg is in orbit round the earth at a distance of 5.7R above its surface, where R is the value of the mean radius of the earth. if the gravitational field strength at the surface of the earth is 9.8Nkg^-1. calculate the centripetal force acting on the satellite. (ii) the period of the satellite in the orbit in hours

(I) A space shuttle releases a satellite into a circular orbit780 km above the Earth. How fast must the shuttle bemoving (relative to Earth’s center) when the release occurs?