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QuestionPhysics

"Which statement describes Newton's law of universal gravitation? A. Mass has little effect on gravity between objects B. Gravity pushes objects away from Earth's center C. Gravity does not act between Earth and the moon D. Every object in the universe attracts every other object"
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Answer

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Step 1:
Let's solve this step by step:

Step 2:
: Understand Newton's Law of Universal Gravitation

Newton's law of universal gravitation states the fundamental principle of gravitational attraction between objects in the universe.

Step 3:
: Analyze the Key Components of the Law

The law describes that: - Every object with mass exerts a gravitational force on every other object - The force depends on the masses of the two objects - The force is proportional to the product of the masses - The force is inversely proportional to the square of the distance between the objects

Step 4:
: Evaluate Each Option

A. Mass has little effect on gravity between objects - INCORRECT: Mass is actually crucial in determining gravitational force B. Gravity pushes objects away from Earth's center - INCORRECT: Gravity pulls objects toward the center, not pushes them away C. Gravity does not act between Earth and the moon - INCORRECT: Gravity is precisely what keeps the moon in orbit around Earth D. Every object in the universe attracts every other object - CORRECT: This directly describes the core principle of Newton's law of universal gravitation

Step 5:
: Confirm the Mathematical Representation

- $$r$$ is the distance between the objects
The law can be expressed mathematically as: Where:

Final Answer

Every object in the universe attracts every other object