The force between two charges 0.06 m apart is 5 N. If each charge is moved towards the other, so that new distance becomes 0.04 m, then the force between them will become
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The initial distance between the charges,
, is given as 0.06 m .
The initial force between the charges,
, is given as 5 N .
Each charge is moved towards the other, resulting in a new distance,
, of 0.04 m .
Coulomb's Law states that the force between two point charges is inversely proportional to the square of the distance between them, which can be expressed as
.
The ratio of the initial force to the new force can be expressed in terms of the distances as
.
Substituting the known values into the equation:
.
Calculating the squares of the distances:
and
.
Substituting these squared values back into the equation:
.
Simplifying the fraction:
.
The equation becomes
.
Solving for
.
Calculating the final force:
.
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