# If the distance between two particles is halved, how is the force of attraction affected?? plz explain in easy words, according to class 9..

2
is it gravitational force ?

yes, sir

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is it gravitational force ?

yes, sir

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Let us assume that we are talking about graviational force of attraction.

** F = G M1 M2 / d² **

F is the force that one object pulls the other towards itself.

Here M1 = mass of 1st particle M2 = mass of second particle

d = distance between the two particles.

G = 6.67 * 10^-11 units [exponential -11]

This force is very less for small masses and significant for planets like Earth, Sun, moon etc.

Now, if d becomes d / 2, substitute it in the equation above, to get

F = G M1 M2 / (d/2)² = G M1 M2 / ( d² / 4 ) = GM1 M2 *4 / d²

= 4 * [G M1 M2 / d²]

__So the Force has become 4 times the previous value.__

=================================================

If we are talking about force between electric charges, then also the same result will be observed. The new value of force will be 4 times the original value.

F is the force that one object pulls the other towards itself.

Here M1 = mass of 1st particle M2 = mass of second particle

d = distance between the two particles.

G = 6.67 * 10^-11 units [exponential -11]

This force is very less for small masses and significant for planets like Earth, Sun, moon etc.

Now, if d becomes d / 2, substitute it in the equation above, to get

F = G M1 M2 / (d/2)² = G M1 M2 / ( d² / 4 ) = GM1 M2 *4 / d²

= 4 * [G M1 M2 / d²]

=================================================

If we are talking about force between electric charges, then also the same result will be observed. The new value of force will be 4 times the original value.

F=G(m1m2/r²)--------(1)

where,F is the force

m1=1st mass

m2=2nd mass

G=Gravitational constant

r is distance between centre of masses(m1 and m2).

If r becomes(r/2)half,then

putting this in the above equation,-------------(1)

F=G{m1m2/(r/2)²}

or,F=G{m1m2/(r²/4)}

or,4F=G{m1m2/r²}

Therefore force will become 4 times greater than the previous force.