Question

The gravitational force between two objects is ______ proportional to the products of the masses and _______ proportional to the square of the distance between them.

Answer 1

The gravitational force between two objects is directly proportional to the products of the masses and inversely proportional to the square of the distance between them.

The law of universal gravitation defines the gravitational force between two objects.

Using the Formula :

$F = \frac{m_{1}m_{2}}{r^{2}}$

• F = Force of attraction
• m1 = mass of object 1
• m2 = mass of object 2
• r = distance between the objects

From the formula ;

• the masses are directly proportional to the attractive force, F

• The distance, r² is inversely proportional to the to the attractive force

Therefore, the product of the masses are directly proportional and the inversely proportional to the square of the distance apart.

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Answer 2

According to Newton's law of gravitation, the gravitational force between two objects is directly proportional to the products of the masses and inversely proportional to the square of the distance between them.

Mathematically, the formula for expressing Newton's law of gravitation is calculated as $C \alpha\frac{Mm}{r^2}$

If the proportionality sign is removed, we will introduce a constant known as gravitational constant to have: $C =\frac{GMm}{r^2}$

Hence based on the formula, the complete statement will be the gravitational force between two objects is directly proportional to the products of the masses and inversely proportional to the square of the distance between them.

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