Answer:

Explanation:
This problem is approached using Coulomb's law of electrostatic attraction which states that the force F of attraction or repulsion between two point charges,
and
is directly proportional to the product of the charges and inversely proportional to the square of their distance of separation R.

where k is the electrostatic constant.
We can make k the subject of formula as follows;

Since k is a constant, equation (2) implies that the ratio of the product of the of the force and the distance between two charges to the product of charges is a constant. Hence if we alter the charges or their distance of separation and take the same ratio as stated in equation(2) we will get the same result, which is k.
According to the problem, one of the two identical charges was altered from
to
and their distance of separation from
to
, this also made the force between them to change from
to
. Therefore as stated by equation (2), we can write the following;

Therefore;

From equation (4) we now make the new force
the subject of formula as follows;

then cancels out from both side of the equation, hence we obtain the following;

From equation (4) we can now write the following;

This could also be expressed as follows;

Answer:
The total amount after 3 years is = $ 2054.10
Explanation:
Given data
Principal Amount (P) = $ 1800
Rate of interest (R) = 4.5 %
Thus the total amount after 3 years compounded annually is given by the formula = P × ![[1 +\frac{R}{100} ]^{3}](https://tex.z-dn.net/?f=%5B1%20%2B%5Cfrac%7BR%7D%7B100%7D%20%20%5D%5E%7B3%7D)
⇒ 1800 × ![[1 +\frac{4.5}{100} ]^{3}](https://tex.z-dn.net/?f=%5B1%20%2B%5Cfrac%7B4.5%7D%7B100%7D%20%20%5D%5E%7B3%7D)
⇒ 2054.10
Thus the total amount after 3 years is = $ 2054.10
Compound interest earned in three years = 2054.10 - 1800 = $ 254.10
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