Answer :
A deep-space satellite is sent to orbit a distant planet with an unknown mass. On arrival, the satellite begins its orbit and measures a gravitational pull from the planet of 620 N. If the satellite has a mass of 450 kg and orbits the planet at a radius of 4.0 x 10⁶ m, then the approximate mass of the planet would be 3.305 ×10²³ kg
What is gravitational force?
The gravitational force is an unobservable force that draws things together. You remain on the ground thanks to Earth's gravity, a gravitational force is a force that also causes objects to fall. Gravity applies to everything that has mass. Gravity is stronger for objects with more mass.
The mathematical expression for the gravitational force is given by
F = G× m₁* m₂ / r ²
where F is the gravitational force
m₁ and the m₂ are the masses of the bodies
G is the gravitational constant which has a value of 6.67 ×10⁻¹¹
as given in the problem a deep-space satellite is sent to orbit a distant planet with an unknown mass. On arrival, the satellite begins its orbit and measures a gravitational pull from the planet of 620 N. If the satellite has a mass of 450 kg and orbits the planet at a radius of 4.0 x 10⁶ m
By substituting the respective values in the formula for gravitational force
620= 6.67×10⁻¹¹(m×450)/( 4.0 x 10⁶ )²
m =3.305 ×10²³ kg
Thus, the approximate mass of the planet would be 3.305 ×10²³ kg
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