Sunday
April 20, 2014

Homework Help: Astronomy

Posted by Manny on Tuesday, April 10, 2007 at 3:57pm.

Calculate the ratio of the escape velocities from the moon and Earth.

Calculate the ratio of the escape velocities from the moon and Earth


In order to escape the gravitaional pull exerted by a central body on an orbiting object, it must must achieve a minimum inertial velocity relative to the central body. This velocity is called the escape velocity. You can determine the minimal escape velocity required to escape from any planet yourself. Escape velocity from a planet is given by Ve = sqrt[2/r] where Ve = escape velocity in feet per second, = the planet's gravitational constant, ft.^3/sec.^2 (equal to GM where G = the Universal Gravitational Constant and M = the mass of the planet), and r = the radial distance from the center of the planet in feet. For the earth, = 1.407974x10^16 and r = 3963 miles = 20,924,640 ft. so the general escape velocity, direct from the surface, would be Ve = sqrt[2(1.407974x10^16)]/20,924,640 = ~36,685 ft./sec. = ~25,007 mph.

The same calculation can be made for the moon using = 1.731837x10^14.

Divide the two and you will have your ratio.

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

physics - calculate the escape velocity for the following; assume a launch from ...
Physics - Suppose that the ratio of the Moon's mass to the Earth's mass is given...
physics - The earth is moving around the sun,now a satalite with its escape ...
PHYSICS - At what temperature would the rms speed of a nitrogen atom equal the ...
Intro to Physics - At what temperature would the rms speed of a nitrogen atom ...
Physical Chemistry - The escape velocity, the velocity required by an object to...
Physics - Consider a spaceship located on the Earth-Moon center line (i.e. a ...
physics - Calculate the magnitude of the gravitational force between the Earth ...
astronomy - Calculate the escape velocity from a red giant's atmosphere (use the...
Gravitation help..........thanks - A projectile is shot directly away from Earth...

Search
Members