Question

Which mathematical statement shows the relationship between gravity and mass?

Answer 1

Answer

F (force of gravity) = M (mass of an object) × G (acceleration due to gravity)

Step-by-step explanation:

Force of gravity (F) = Mass (M) × Gravitational acceleration (G)

The weight of an abject is equal to its gravitational force!

Explanation:

Answer 2

Answer:

$F_{g} = \frac{m}{d^{2} }$ shows the relationship between gravity and mass.

Explanation:

According to the Newton's law of gravitation, the gravitational force between two bodies is,

       $F_{g} = G.\frac{m_{1}.m_{2} }{d^{2} }$

here $m_{1} and m_{2}$ are masses, d is distance between them.

What is Newton's law of Gravitation ?

It states that gravitational force acting two bodies is directly proportional to the product of masses and inversely proportional to the square of the distance between them.

In above formula ,

If $m_{1} = 1 and$  $m_{2} = m$

so $F_{g} = G \frac{m}{d^{2} }$

Since G is constant ,

    $F_{g}$ ∝$\frac{m}{d^{2} }$

Hence second option is correctly showing relationship between gravity and mass.

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