The new force becomes One Ninth (1/9) of the original force.
The force between two point charges (let's say [tex]\mathrm{Q} 1$ and $\mathrm{Q} 2$[/tex] ) is given by the following formula:
Force [tex]$=k \times Q 1 \times Q 2$[/tex]divided by ( [tex]$r$[/tex] squared)
Here r is the distance.
If we multiply r by three then after squaring it will become [tex]$9 \times r$[/tex] squared.
Let's rewrite the formula and call it new Force:
New Force [tex]=\mathrm{K} \times \mathrm{Q} 1 \times \mathrm{Q} 2[/tex] divided by [tex]$(9 \times \mathrm{r}$[/tex] squared )
Now just separate the 9 :
New Force [tex]$=1 / 9(\mathrm{~K} \times \mathrm{Q} 1 \times \mathrm{Q} 2$[/tex]divided by [tex]$(\mathrm{r}$[/tex] Squared ))
New Force [tex]$=1 / 9$[/tex] (Force)
So turns out that the new force becomes One Ninth (1/9) of the original force.
A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to define force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
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