hello can you please type steps with formulas and numbers? there are similar ans

Question

hello can you please type steps with formulas and numbers? there are similar answers on here but i dont understand where the numbers come from or what formulas they are using. thank you


Scientists want to place a 4400.0 kg satellite in orbit around Mars. They plan to have the satellite orbit a distance equal to 1.9 times the radius of Mars above the surface of the planet. Here is some information that will help solve this problem:

mmars = 6.4191 x 1023 kg
rmars = 3.397 x 106 m
G = 6.67428 x 10-11 N-m2/kg2

1) What is the force of attraction between Mars and the satellite?
N
2) What speed should the satellite have to be in a perfectly circular orbit?
m/s

Explanation / Answer

F=GMm/r2

=6.673*10-11*4400*6.4191*1023/(2.9*3.397*106)2=1942N

Let the speed be v.

The centripetal force is provided by gravity.

mv2/r=1942

v=2085.2m/s

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