Satellite Orbit: The Magnitude of the Transverse Component

A satellite at r(0) =10,000 miles from the center of the earth is given an initial velocity v(0) = 20,000 ft/s in the direction shown(getting further away). Determine the magnitude of the transverse component of the satellites velocity when r=20,000mi.(the radius of earth is 3960mi.)

Solution Summary

The solution includes an attachment to answer the question in 280 words and a diagram to further understanding.

For a circular orbit around a massive gravitating body, the speed depends on the radius according to Equation 8.3; for elliptical orbits, the speed varies according to the equation V squared=2GM{(1/r)-(1/2a)}, where r is the distance from the massive body and a is the semi major axis of the ellipse(i.e., half the sum of the clos

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* What is the mass of the planet?
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1870km = 1.87e6 m
I tried using the V^2=GMe/r and came up with 14.6 km/s which is wrong.
I tried finding the velocity of earth 7.91 km/s and subtracting from the 14.6 km/s and still the answer is wrong.
Am I using th

A satellite of mass 150kg is launched into orbit above the surface of the Earth in a circular orbit. what is the speed of thesatellite in its orbit? What is providing the centripetal force on it? Find its value.

The motivation for Isaac Newton to discover his laws of motion was to explain the properties of planetary orbits that were observed by Tycho Brahe and analyzed by Johannes Kepler. A good starting point for understanding this (as well as the speed of the space shuttle and the height of geostationary satellites) is the simplest or

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Use the Free-body diagrams to answer the following:
1. You are driving along the highway, when the car in front of you makes a right-hand turn. What is the best free-body diagram of forces on the turning car, from your point of view behind the car?
2. The speed of the car in front of you is a constant 25m/s. The mass of th