Respuesta :
Answer:
8716.97 N
Explanation:
The force between the planet and the satellite can be calculated using the following equation
[tex]F=G\frac{m_1m_2}{d^2}[/tex]Where G = 6.67 x 10^(-11) N m²/kg², m1 is the mass of the satellite, m2 is the mass of the Earth and d is the distance from the center of the Earth to the satellite
Since the radius of the Earth is 6,371 km, we get
d = 42 km + 6,371 km = 6413 km
Then, to convert to m, we need to multiply by 1000
d = 6413 km x 1000 m/km = 6.413 x 10^6 m
Finally, replacing m1 = 900 kg, m2 = 5.972 x 10^24 kg, and d = 6.413 x 10^6 m, we get:
[tex]\begin{gathered} F=6.67\times10^{-11}\frac{(900)(5.972\times10^{24})}{(6.413\times10^6)^2} \\ F=8716.97\text{ N} \end{gathered}[/tex]Therefore, the force between the planet and the satellite is 8716.97 N
