QuestionJune 29, 2025

Use the formula F=G(m_(1)m_(2))/(d^2) where F=the force of gravity G=universal gravitational constant m_(1) and m_(2)=masses of the two objects d=the distance between the centers of the two objects What would result in the greatest gravitational force between two objects? A halving the mass of object 1 B doubling the mass of object 1 C halving the distance between the two objects D doubling the distance between the two objects

Use the formula F=G(m_(1)m_(2))/(d^2) where F=the force of gravity G=universal gravitational constant m_(1) and m_(2)=masses of the two objects d=the distance between the centers of the two objects What would result in the greatest gravitational force between two objects? A halving the mass of object 1 B doubling the mass of object 1 C halving the distance between the two objects D doubling the distance between the two objects
Use the formula F=G(m_(1)m_(2))/(d^2) where
F=the force of gravity
G=universal gravitational constant
m_(1) and m_(2)=masses of the two objects
d=the distance between the centers of the two objects
What would result in the greatest gravitational force between two objects?
A halving the mass of object 1
B doubling the mass of object 1
C halving the distance between the two objects
D doubling the distance between the two objects

Solution
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Answer

C halving the distance between the two objects Explanation 1. Analyze the formula The gravitational force F is directly proportional to the product of the masses m_1 and m_2, and inversely proportional to the square of the distance d. 2. Evaluate each option A) Halving m_1: Reduces F by half. B) Doubling m_1: Doubles F. C) Halving d: Increases F by a factor of 4 (since F \propto \frac{1}{d^2}). D) Doubling d: Reduces F by a factor of 4.

Explanation

1. Analyze the formula<br /> The gravitational force $F$ is directly proportional to the product of the masses $m_1$ and $m_2$, and inversely proportional to the square of the distance $d$.<br />2. Evaluate each option<br /> A) Halving $m_1$: Reduces $F$ by half.<br /> B) Doubling $m_1$: Doubles $F$.<br /> C) Halving $d$: Increases $F$ by a factor of 4 (since $F \propto \frac{1}{d^2}$).<br /> D) Doubling $d$: Reduces $F$ by a factor of 4.
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