Escape Velocity:
.
if you throw an object straight up, it will rise until the the negative acceleration of gravity stops it, then returns it to Earth. Gravity's force diminishes as distance from the center of the Earth increases, however. So if you can throw the object with enough initial upward velocity so that gravity's decreasing force can never quite slow it to a complete stop, its decreasing velocity can always be just high enough to overcome gravity's pull. The initial velocity needed to achieve that condition is called escape velocity.
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From the surface of the Earth, escape velocity (ignoring air friction) is about 7 miles per second, or 25,000 miles per hour. Given that initial speed, an object needs no additional force applied to completely escape Earth's gravity
.
if you throw an object straight up, it will rise until the the negative acceleration of gravity stops it, then returns it to Earth. Gravity's force diminishes as distance from the center of the Earth increases, however. So if you can throw the object with enough initial upward velocity so that gravity's decreasing force can never quite slow it to a complete stop, its decreasing velocity can always be just high enough to overcome gravity's pull. The initial velocity needed to achieve that condition is called escape velocity.
.
From the surface of the Earth, escape velocity (ignoring air friction) is about 7 miles per second, or 25,000 miles per hour. Given that initial speed, an object needs no additional force applied to completely escape Earth's gravity
1/2 mv2 = GMm/R
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Where m is the mass of the object, M mass of the earth, G is the gravitational constant, R is the radius of the earth, and v is the escape velocity. It simplifies to:
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v = sqrt(2GM/R)
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or
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v = sqrt(2gR)
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Where g is acceleration of gravity on the earth's surface.
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The value evaluates to be approximately:
.
11100 m/s
40200 km/h
25000 mi/h
.
Where m is the mass of the object, M mass of the earth, G is the gravitational constant, R is the radius of the earth, and v is the escape velocity. It simplifies to:
.
v = sqrt(2GM/R)
.
or
.
v = sqrt(2gR)
.
Where g is acceleration of gravity on the earth's surface.
.
The value evaluates to be approximately:
.
11100 m/s
40200 km/h
25000 mi/h
by Zero Kasharion September 22, 2005
Get the Escape Velocity mug.Defined as the change in position of an object (displacement) per unit of time. Velocity, unlike speed, takes into account the direction of travel relative to a base point.
v = s/t (where v and s are vectors)
Where (using SI units):
v is the velocity of the body in metres per second (ms^-1)
s is the displacement of the body in metres (m)
t is the time taken to travel from the initial point to the final point in seconds (s)
v = s/t (where v and s are vectors)
Where (using SI units):
v is the velocity of the body in metres per second (ms^-1)
s is the displacement of the body in metres (m)
t is the time taken to travel from the initial point to the final point in seconds (s)
1. (One dimension) If you start at point A and travel directly north to point B which is ten metres away, and it takes you five seconds to get there, your velocity will be 2ms^-1 due north.
2. (One dimension) If you travel west for a ten seconds at 1ms^-1, take a break for twenty seconds and then travel for another ten seconds at 1ms^-1, your velocity for the trip will be .05ms^-1 due west.
3. (Two dimension) If you start at point A and travel north at 3kmh^-1 for two hours, and then instantaneously change direction and travel due east for four hours at a speed of 2kmh^-1 to point B, your velocity for the trip is 10kmh^-1 N53°E (53°T)
I think...
2. (One dimension) If you travel west for a ten seconds at 1ms^-1, take a break for twenty seconds and then travel for another ten seconds at 1ms^-1, your velocity for the trip will be .05ms^-1 due west.
3. (Two dimension) If you start at point A and travel north at 3kmh^-1 for two hours, and then instantaneously change direction and travel due east for four hours at a speed of 2kmh^-1 to point B, your velocity for the trip is 10kmh^-1 N53°E (53°T)
I think...
by White Razor December 15, 2008
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