What is the minimum speed (relative to Earth) required for a rocket to send it out...

What is the minimum speed (relative to Earth) required for a rocket to send it out of the solar system?Note that you need to make use of Earth's speed to arrive at your result.

Expert Solution

Where Ve is the required velocity

G is the gravitational constant

M is the mass of the body being escaped

R is the distance from the centre point of the mass.

However these speeds are at a fixed position. It should be noted that because you divide the

the 2*G*Mass by the distance from the center of gravity the farther you are away the slower it is to escape

For example a space ship in orbit of earth only needs 10.9 km/s to leave orbit and an orbiting shuttle is already moving at about 8 km/s anyways :) Further, these numbers also are for an initial thrust as if you were kicking a football into space. A rocket for example as it applies thrust through out the trip into space requires significantly less velocity to reach orbit as it is consistently applying force with its rocket boosters.

genius_generous answered 1 year ago

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