The force between the particles when the distance is halved is 280 N.
Let us recall that the force between two particles is inversely proportional to the square of the distance of separation.
Mathematically, we can write;
F α 1/d^2
So,
F = k/d^2
k = Fd^2
k = 70d^2
When d is halved,
F = 70d^2/(d/2)^2
F = 70d^2/d^2/4
F = 70d^2 × 4/d^2
F = 280 N
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