Newton's law of gravitation states that two bodies with masses m1 and m2 attract each other with a force f, where r is the distance between the bodies and g is the gravitational constant.
f = g m1*m2/r^2
use newton's law of gravitation to compute the work w required to propel a 800 kg satellite out of the earth's gravitational field. you may assume that the earth's mass is 5.98 x 10^24 kg and is concentrated at its center. take the radius of the earth to be 6.37 x 10^6 m and g = 6.67 x 10^-11 nm^2/kg^2. (round your answer to three significant digits.)

We have that from the Question it can be said that  the gravitational force is given as

F=12.864N

From the Question we are told

Newton's Law of Gravitation states that two bodies with masses m1 and m2 attract each other with a force F, where r is the distance between the bodies and G is the gravitational constant.

F = G m1*m2/r^2

Use Newton's Law of Gravitation to compute the work W required to propel a 800 kg satellite out of the earth's gravitational field. You may assume that the earth's mass is 5.98 x 10^24 kg and is concentrated at its center. Take the radius of the earth to be 6.37 x 10^6 m and G = 6.67 x 10^-11 Nm^2/kg^2. (Round your answer to three significant digits.)

Generally the equation for Gravitational Force is mathematically given as

F=12.864N

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The work done in propelling the satellite is 5 x 10¹⁰ J.

The given parameters;

The work done in propelling the satellite is calculated as follows;

where;

Substitute the given parameters and solve for the work done;

Thus, the work done in propelling the satellite is 5 x 10¹⁰ J.

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pe = weightxheight = 2000x1000=2,000,000joules