Question

HOW DOES THE FORCE OF GRAVITIATION BETWEEN TWO OBJECTS CHANGE WHEN THE DISTANCE BETWEEN THEM IS REDUCED TO HALF ?
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Answer 1

Answer:

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The force of gravitation between two objects is inversely proportional to the square of the distance between them therefore the gravity will become four times if distance between them is reduced to half.

Answer 2

Let the initial distance be $r$

Final distance =$\frac{r}{ 2}$

Let the mass of the two objects be $m_1$ and $m_2$ .

Universal gravitation constant = $G$

Step 2: Formula used

According to Newton's law of

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

Step 3: Change is Gravitational Force

According to Newton's law of Gravitation,

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

Therefore, the final force $FI= G \frac{m_{1} m_{2}}{\frac{r}{2}^{2}}$

$= 4G \frac{m_{1} m_{2}}{r^{2}}$

$= 4F$

Hence, when the distance between the objects is reduced to half, the gravitational force increases four times.

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