Problemas
Consider a system of two charges of magnitude 2times 10^-7C and 4.5times 10^-7 C which is acted upon by a force of 0.1 N. What is the distance between the two charges? 1.2 m 2 m .09 m .81 m
Roztwór
Mauricio
professionell · Tutor durante 6 años
4.2
(293 Votos)
Respuesta
To find the distance between the two charges, we can use Coulomb's law, which states that the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.Mathematically, Coulomb's law can be expressed as:
where:-
is the force between the charges (in newtons, N)-
is the Coulomb constant (
)-
and
are the magnitudes of the charges (in coulombs, C)-
is the distance between the charges (in meters, m)Given:-
-
-
We need to find
.Rearranging the formula to solve for
:
Substituting the given values:
Therefore, the distance between the two charges is approximately 0.0284 meters, which is closest to option 3,.09 m.