What: happens to the force between two objects, if (i) the mass of one object is tripled? (ii) the distance between the objects is four times?
Answers
Answer:
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Explanation:
Answer: From the relationship, (i) If the mass of one object (say body 1) is doubled, then Thus, the gravitational force between the two objects gets doubled. ... If the distance between the two objects is tripled, then Thus, the gravitational force between the two objects becomes one-ninth.
Answer:
(1) If the mass of the object is tripled the force will also be tripled.
(2) If the distance of separation is increased four times the force of attraction will be reduced to 16 times the previous force.
Explanation:
By the universal law of gravitation, we know the equation,
F = G Mm / d²
Where 'F' is the force of attraction between two objects, 'M' and 'm' are the masses of the objects, and 'd' is the distance of separation between them.
(1) If the mass of one object is tripled, then m = 3m. The new force will be,
F' = G M×3m / d²
F' = 3 × G Mm / d²
F' = 3 × F
So if the mass of the object is tripled the force will also be tripled.
(2) If the distance between the objects is increased 4 times, then d = 4d. The new force will be,
F' = G Mm / (4d)²
F' = G Mm / 16d²
F' = 1/16 × G Mm / d²
F' = 1/16 × F
So if the distance of separation is increased four times the force of attraction will be reduced to 16 times the previous force.