Question

please include steps and reasoning A satellite in Earth orbit has a mass of 110 kg and is at an altitude of 1.94 106 m. (Assume that U = 0 as r--->infinity)

(a) What is the potential energy of the satellite–Earth system?

=_______ J

(b) What is the magnitude of the gravitational force exerted by the Earth on the satellite?

=_______ N

(c) What force, if any, does the satellite exert on the Earth? (Enter the magnitude of the force, if there is no force enter 0.)

=_______ N

Answer 1

given
m = 110 kg
h = 1.94*10^6 m

we know,

Re = 6.37*10^6 m
Me = 5.98*10^24 kg

radius of orbit of satellite, r = Re + h

= 6.37*10^6 + 1.94*10^6

= 8.31*10^6 m
a)

the potential energy of the satellite–Earth system, U = -G*Me*m/r

= -6.67*10^-11*5.98*10^24*110/(8.31*10^6)

= -5.28*10^9 J <<<<-----Answer

b) the magnitude of the gravitational force exerted by the Earth on the satellite,

F = G*Me*m/r^2

= 6.67*10^-11*5.98*10^24*110/(8.31*10^6)^2

= 635 N <<<<-----Answer

c) Force exerted by satellite on the earth = 635 N <<<<-----Answer

According to newton's third for every action there is an equal and opposite reaction.