Coulomb’s law questions

Question

1.Determine the factor of change for the electric force if the charge of one of the particles is changed by a factor of 57.

2.Determine the factor of change for the electric force if both of the charges of the particles is changed by a factor of 14.

3.Determine the factor of change for the electric force if the distance between the particles is changed by a factor of 5.

*answer and explanation please*

Answer 1

For these problems, we use Coulomb's Law, which give the force between 2 electrically-charged objects.

F = k *q1*q2 /r²

k is Coulomb's constant, which is 9*10⁹. Units are Newtons, Meters and Coulombs (the unit of charge)

In any of these problems, you will simply plug in the numbers and solve the equation.

Note the notation for exponents: 9E9 means 9*10⁹ . Hint for working with exponents: first do the basic arithmetic ignoring the exponents, then simply ADD all the exponents. If you are working with a calculator, be careful and check your answers.

For problem involving proportions, simply look at the basic formula to see the effect of changing a parameter. Example, if the distance is doubled, the force is reduced by a factor of 4. All the other terms have a linear relationship---but, if both charges are increased by the same factor, then the force is increased by the square of that factor.

See the examples that I posted in some of your other questions