Newton's law of gravitation states that two bodies with masses m1 and m2 attract each other with a force gmim2 r2 where r is the distance between the bodies and g is the gravitational constant 6.67 x 10-" nm kg (a) if one of the bodies is fixed, find the work needed to move the other from r = a to r = b (b) compute the work required to launch a 2,500 kg satellite vertically into a geostationary orbit 35,000 km above the surface of the earth. assume that the earth's radius is 6.37 x 106 m and mass is 5.98 x 1024 kg, concentrated at its center
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Ответ:
Part a)
Part b)
Explanation:
Part a)
Here we know that force of gravitation is given as
now we have to find work done to move the mass from initial to final position
now we have
since we move the object from r = a to r = b so we will have
Part b)
As per above equation we know that the work done is given as
here we can say that
now plug in all values in above equation
Ответ: