What is the force between two balloons with negative charge of 2.3 x 10^-12 C if the balloons are 46 cm apart?
What is Coulombs Law?
It is the electrostatic force between electrical charges...the equation is 6.24x10^18
To calculate the force between two charged objects, you can use Coulomb's law. Coulomb's law states that the force between two charged objects is directly proportional to the product of their 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 = force between two objects (in Newtons)
k = Coulomb's constant (approximately 9 x 10^9 N m^2/C^2)
q1 and q2 = charges of the two objects (in Coulombs)
r = distance between the two objects (in meters)
In this case, we have:
q1 = -2.3 x 10^-12 C (negative charge)
q2 = -2.3 x 10^-12 C (negative charge)
r = 46 cm = 0.46 m
First, let's rearrange the formula to solve for F:
F = k * (q1 * q2) / r^2
Now, substitute the values into the formula:
F = (9 x 10^9 N m^2/C^2) * ((-2.3 x 10^-12 C) * (-2.3 x 10^-12 C)) / (0.46 m)^2
Now, calculate the expression in the brackets:
F = (9 x 10^9 N m^2/C^2) * (5.29 x 10^-24 C^2) / (0.46 m)^2
Next, calculate the denominator:
F = (9 x 10^9 N m^2/C^2) * (5.29 x 10^-24 C^2) / (0.46^2 m^2)
Finally, calculate the force:
F = (9 x 10^9 N m^2/C^2) * (5.29 x 10^-24 C^2) / (0.2116 m^2)
Simplifying the expression gives:
F ≈ 1.19 x 10^-9 N
So, the force between the two balloons with a negative charge of 2.3 x 10^-12 C, when they are 46 cm apart, is approximately 1.19 x 10^-9 Newtons.