Mathematics: Which of the following statements about Newton s theory of universal gravitation are true? Select the three correct answers. (2 points)The theory applies only to objects on Earth. Gravitational force increases as the mass of objects increases.Gravitational force increases as the distance between objects decreases.The theory applies to all objects in the universeGravitational force increases as mass of objects decreasesGravitational force increases as the distance between objects increases.

Data is distinct pieces of information, usually formatted in a special way.Step-by-step explanation:...

Which of the following statements about Newton s

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19.01.2022

Gravitational force increases as the mass of objects increases.

The theory applies to all objects in the universe

Gravitational force increases as the distance between objects decreases.

Step-by-step explanation:

Newton's theory of universal gravitation states that every object with mass exerts a gravitational force on every other object with mass.

This force is always attractive in nature, and the magnitude of the force is given by:

$F=\frac{Gm_1m_2}{r^2}$

where

G is the gravitational cosntant

m1, m2 are the two masses

r is the separation between the two masses

We see that the gravitational force is directly proportional to the product of the masses and inversely proportional to the square of their distance.

Therefore, the following statements are correct:

Gravitational force increases as the mass of objects increases.

The theory applies to all objects in the universe

Gravitational force increases as the distance between objects decreases.

While the others are wrong:

The theory applies only to objects on Earth. --> false, the theory applies on every object

Gravitational force increases as mass of objects decreases --> false, the force decreases as the masses decrease

Gravitational force increases as the distance between objects increases --> false, the force decreases as the distance increases

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