Two ocean liners with masses 10.0 million and 20.0 million kilograms are 50.0 meters apart. how far apart are the two ships if the force beteren them is 1.0 n?

m₁ = mass of first ocean liner = 10 x 10⁶ kg

m₂ = mass of second ocean liner = 20 x 10⁶ kg

r = distance between two ocean liners = ?

F = force between the two ocean liners = 1.0 N

G = gravitational constant = 6.67 x 10⁻¹¹ Nm²/kg²

Gravitational force of attraction between the two ocean liners is given as

F = G m₁ m₂/r²

inserting the values

1.0 = (6.67 x 10⁻¹¹) (10 x 10⁶) (20 x 10⁶)/r²

r² =  (6.67 x 10⁻¹¹) (10 x 10⁶) (20 x 10⁶)

r² = (6.67 x 10⁻¹¹) (200 x 10¹²)

r² = 13340

r = √13340

r = 115.5 m

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.

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