Mars has a mass of 6.4 x 10^23 kg. it has a moon named deimos with a mass of .48 x 10^15 kg.

a. if their centers are 23,460 km apart, what is the force of gravity acting on deimos?

b. a scientific satellite of mass 800 kg orbits mars 400 km ab one its surface. if mars has a radius of 3396 km, what is the force of gravity acting on the scientific satellite?

c. the satellite is in a circular orbit around mars. how does the kinetic energy of the satellite change as it orbits mars?

d. how does the gravitational force on the satellite change as it orbits mars?

PART A)

From gravitational force formula we know that

now we have

now we have

Part B)

again from same formula as we used above to find the force

now we have

now we have

PART C)

here in circular orbit the speed of the satellite will remain the same always

So here kinetic energy of satellite will always remain same

There is no change in kinetic energy of satellite

Part d)

Since satellite is revolving in circular orbit so the distance will always remain the same

As well as the two masses is also constant

So here the gravitational force between them is always same and it will not change

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