contestada

The force of gravity between a planet and its moon is 371 N. If the planet has a
mass of 4 x 10^22 kg and the moon has a mass of 5 x 10^5 kg, what is the distance
between their centers?

Respuesta :

Eduard22sly

The distance between their centers, given the data is 6.0×10⁷ m

Data obtained from the question

The following data were obtained from the question:

  • Force (F) = 371 N
  • Mass of planet (M₁) = 4×10²² Kg
  • Mass of moon (M₂) = 5×10⁵ Kg
  • Gravitational constant (G) = 6.67×10¯¹¹ Nm²/Kg²
  • Distance apart (r) =?

How to determine the distance between their centres

The distance between their centres can be o brained as illustrated below:

F = GM₁M₂ / r²

Cross multiply

F × r² = GM₁M₂

Divide both sides by F

r² = GM₁M₂ / F

Take the square root of both sieds

r = √[GM₁M₂ / F]

r = √[(6.67×10¯¹¹ × 4×10²² × 5×10⁵) / 371]

r = 6.0×10⁷ m

Thus, the distance between their centres is 6.0×10⁷ m

Learn more about gravitational force:

https://brainly.com/question/21500344

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