Answer:
magnitude of the gravitational force is 9.04 × [tex]10^{4}[/tex] N
Explanation:
given data
altitude = A = 612 km = 612000 m
mass M = 11,100 kg
mass of the Earth m = 5.97 × [tex]10^{24}[/tex] kg
Earth average radius = 6.38 × [tex]10^{6}[/tex] m
to find out
magnitude of the gravitational force
solution
first we get here distance from space to centre of earth that is
distance = altitude + earth radius
distance = 612000 + 6.38 × [tex]10^{6}[/tex] m
distance = 6.99 × [tex]10^{6}[/tex] m
so now we get here magnitude of the gravitational force that is express as
magnitude of the gravitational force F = [tex]\frac{G*M*m}{distance^2}[/tex] ...........1
here G is gravitational constant that is 6.67 × [tex]10^{-11}[/tex] Nm² /kg and M is mass of space and m is mass of earth
put here all value we get
F = [tex]\frac{G*M*m}{distance^2}[/tex]
F = [tex]\frac{6.67*10^{-11}*5.97*10^{24}*11100}{(6.99*10^{6})^2}[/tex]
F = 9.04 × [tex]10^{4}[/tex] N
so magnitude of the gravitational force is 9.04 × [tex]10^{4}[/tex] N
