Help Notes: A 425 kg satellite is orbiting two earth radii from the center of the earth. Calculate the gravitational force and the magnitude of the satellite's...

Thursday, 10 July 2008

A 425 kg satellite is orbiting two earth radii from the center of the earth. Calculate the gravitational force and the magnitude of the satellite's...

The mass of the Earth is $\displaystyle{5.97219}\cdot{{10}}^{{24}}$ kg and the radius of the Earth is $\displaystyle{6378.1}\cdot{{10}}^{{3}}$
m.

The force of gravitational attraction between two objects with mass m1 and
m2 and at a distance r from each other is $\displaystyle{F}={m}{1}\cdot{m}{2}\cdot\frac{{G}}{{{r}}^{{2}}}$ where G is a constant equal to
$\displaystyle{6.673}\cdot{{10}}^{{-{{11}}}}$ m^3*kg^-1*s^-2.

It is given that the 425 kg satellite is 2
Earth radii away from it. The force of gravitational attraction between the two is
$\displaystyle\frac{{{6.67300}\cdot{{10}}^{{-{{11}}}}\cdot{5.97219}\cdot{{10}}^{{24}}\cdot{425}}}{{{\left({2}\cdot{6378.1}\cdot{{10}}^{{3}}\right)}}^{{2}}}$ = 1040.88 N

The
magnitude of the satellite's acceleration is $\displaystyle\frac{{1040.88}}{{425}}$ = 2.44 m/s^2

Help Notes

Thursday, 10 July 2008

A 425 kg satellite is orbiting two earth radii from the center of the earth. Calculate the gravitational force and the magnitude of the satellite's...

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