A communication company plans to launch a geosynchronous satellite to expand its global network. According to Kepler's 3 Law, what information do the engineers need to calculate the radius of orbit? O The mass of Earth and the satellite, the velocity of the satellite, and the acceleration due to gravity (g) O The time it takes for Earth to rotate, the mass of Earth, and the Universal Gravitation Constant (G) The mass of Earth in kilograms, the mass of the satellite in kilograms, and the acceleration due to gravity (g) The mass of the satellite, the time it takes to orbit Earth, and the Universal Gravitational Constant (G)

A communication company plans to launch a geosynchronous satellite to expand its global network. According to Kepler's 3 Law, what information do the engineers need to calculate the radius of orbit? O The mass of Earth and the satellite, the velocity of the satellite, and the acceleration due to gravity (g) O The time it takes for Earth to rotate, the mass of Earth, and the Universal Gravitation Constant (G) The mass of Earth in kilograms, the mass of the satellite in kilograms, and the acceleration due to gravity (g) The mass of the satellite, the time it takes to orbit Earth, and the Universal Gravitational Constant (G)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 15P

See similar textbooks

Similar questions

Calculate the effective gravitational field vector g at Earths surface at the poles and the equator. Take account of the difference in the equatorial (6378 km) and polar (6357 km) radius as well as the centrifugal force. How well does the result agree with the difference calculated with the result g = 9.780356[1 + 0.0052885 sin 2 0.0000059 sin2(2)]m/s2 where is the latitude?
Show that for eccentricity equal to one in Equation 13.10 for conic sections, the path is a parabola. Do this by substituting Cartersian coordinates, x and y, for the polar coordinates, r and , and showing that it has the general form for a parabola, x=ay2+by+c .
What is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?
Check Your Understanding Assume you are in a spacecraft in orbit about the Sun at Earth’s orbit, but far away from Earth (so that it can be ignored). How could you redirect your tangential velocity to the radial direction such that you could then pass by Mars’s orbit? What would be required to change just the direction of the velocity?
Compute directly the gravitational force on a unit mass at a point exterior to a homogeneous sphere of matter.
Assuming a circular orbit for the Sun about the center of the Milky Way galaxy, calculate its orbital Speed using the following information: The mass of the galaxy is equivalent to a single mass times that at the Sun (or located 30,000 ly away.
Show that the areal velocity for a circular orbit of radius r about a mass M is At=12GMr . Does your expression give the correct value for Earth’s areal vilocity about the Sun?
Estimate the gravitational force between two sumo wrestlers, with masses 220 kg and 240 kg, when they are embraced and their centers are 1.2 m apart.
Let gM represent the difference in the gravitational fields produced by the Moon at the points on the Earths surface nearest to and farthest from the Moon. Find the fraction gM/g, where g is the Earths gravitational field. (This difference is responsible for the occurrence of the lunar tides on the Earth.)
Calculate the mass of the Sun based on data for average Earth’s orbit and compare the value obtained with the Sun’s commonly listed value of 1.9891030kg .
Using Figure 13.9, carefull sketch a free body diagram for the case of a simple pendulum hanging at latitude lambda, labeling all forces acting on the point mass,m. Set up the equations of motion for equilibrium, setting one coordinate in the direction of the centripetal accleration (toward P in the diagram), the other perpendicular to that. Show that the deflection angle , defined as the angle between the pendulum string and the radial direction toward the center of Earth, is given by the expression below. What is the deflection angle at latitude 45 degrees? Assume that Earth is a perfect sphere. tan(+)=gg2REtan , where is the angular velocity of Earth.
Following the technique used in Gravitation Near Earth’s Surface, find the value of g as a function of the radius r from the center of a spherical shell planet of constant density with inner and outer radii Rin and Rout . Find g for both eq and for RinrRout . Assuming the inside of the shell is kept airless, describe travel inside the spherical shell planet.