What is the electrostatic force between two ballons, each having 0.000005 C of charge, when they are 0.5 m apart?
To calculate the electrostatic force between two objects, you need to 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 equation for Coulomb's Law is:
F = (k * q1 * q2) / r^2
Where:
F is the electrostatic force between the two objects,
k is the electrostatic constant (k = 9 * 10^9 Nm^2/C^2),
q1 and q2 are the charges of the two objects, and
r is the distance between the two objects.
In this case, q1 and q2 are both 0.000005 C, and the distance between them (r) is 0.5 m.
Plugging these values into the equation, we get:
F = (9 * 10^9 Nm^2/C^2 * 0.000005 C * 0.000005 C) / (0.5 m)^2
Simplifying the equation:
F = (9 * 10^9 Nm^2/C^2 * 0.000000000025 C^2) / 0.25 m^2
F = 9 * 10^9 Nm^2/C^2 * 0.000000000025 C^2 / 0.25 m^2
Calculating the numerical value:
F = 9 * 10^9 Nm^2/C^2 * 0.000000000025 C^2 / 0.25 m^2
F = 9 * 10^9 Nm^2/C^2 * 0.0000000000000000025 C^2 / 0.25 m^2
F = 0.009 N
Therefore, the electrostatic force between the two balloons is 0.009 Newtons.