What is the force between two balloons with negative charge of 2.3 x 10^-12 C if the balloons are 46 cm apart?
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 is the force between the two objects,
k is the electrostatic constant (k = 9 x 10^9 N*m^2/C^2),
q1 and q2 are the charges of the objects, and
r is the distance between the objects.
In this case, both balloons have a negative charge of -2.3 x 10^-12 C and the distance between them is 46 cm, which we need to convert to meters.
First, let's convert the distance from centimeters to meters:
46 cm = 0.46 m
Now, we can 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
Simplifying this expression, we get:
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, let's calculate the force using a calculator:
F = (9 x 10^9 N*m^2/C^2) * (5.29 x 10^-24 C^2) / (0.2116 m^2)
F = (9 x 5.29 x 10^9 x 10^-24) / (0.2116)
F = (47.61 x 10^-15) / (0.2116)
F = 0.2248 x 10^-13 N
Converting this value to scientific notation:
F = 2.248 x 10^-14 N
Therefore, 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 equal to 2.248 x 10^-14 N.