A positive charge of magnitude 3.0 x 10-8 C and a negative charge of magnitude 4.0 x 10-8C are separated by a distance of 0.02 m. Calculate the Coulomb force between the two charges.
F = k q1 q2/r^2
so plug in your numbers
I got 270,000 when I calculated 9*3*4/ 0.02^2, So would this be 2.7 x 10^-7?
I keep getting this wrong for my homework, please help me. My teacher wants this in (# x 10^#).
To calculate the Coulomb force between two charges, you can use Coulomb's Law, which states that the magnitude of the force between two charges is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them. The formula for Coulomb's Law is:
F = k * (|q1| * |q2|) / r^2
Where:
F is the magnitude of the force between the charges,
k is the Coulomb's constant, which has a value of 8.99 x 10^9 N*m^2/C^2,
|q1| and |q2| are the magnitudes of the charges, and
r is the distance between the charges.
In this case, |q1| = 3.0 x 10^-8 C, |q2| = 4.0 x 10^-8 C, and r = 0.02 m.
Let's plug in these values into the formula:
F = (8.99 x 10^9 N*m^2/C^2) * ((3.0 x 10^-8 C) * (4.0 x 10^-8 C)) / (0.02 m)^2
Simplifying this expression:
F = (8.99 x 10^9 N*m^2/C^2) * (1.2 x 10^-15 C^2) / 4 x 10^-4 m^2
F = (8.99 x 1.2 x 10^-15) / (4 x 10^-4) N
F = 2.6988 x 10^-11 N
Therefore, the Coulomb force between the two charges is approximately 2.6988 x 10^-11 N.