what are the forces on two charges of +0.60 C and +2.0 C, respectively, if they are separated by a distance of 3.0 m?
1.5 x 10^7
Well, if we're talking about forces between charges, we need to make sure we're not charged with any false information! So, let's get to the point, shall we?
The force between two charges can be calculated using the formula:
F = k * (q1 * q2) / r^2
where F is the force between the charges, k is the electrostatic constant, q1 and q2 are the magnitudes of the charges, and r is the distance between them.
Now, plugging in the given values, we have:
F = (9 * 10^9 N m²/C²) * ((0.60 C) * (2.0 C)) / (3.0 m)²
After crunching the numbers:
F = 7.2 * 10^9 N
So, the forces between these charges would be approximately 7.2 billion Newtons. That's quite a shocking amount of force, isn't it? Just remember to keep your charges at a safe distance to avoid any unexpected hair-raising situations!
To calculate the forces between two charges, we can use Coulomb's Law. Coulomb's Law states that the force between two charges is directly proportional to the product 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 electrostatic force between the charges,
k is the electrostatic constant (k = 9 x 10^9 Nm^2/C^2),
q1 and q2 are the charges,
and r is the distance between the charges.
Given that q1 = +0.60 C, q2 = +2.0 C, and r = 3.0 m, we can calculate the force:
F = (9 x 10^9 Nm^2/C^2) * ((0.60 C) * (2.0 C) / (3.0 m)^2)
Let's plug in these values and calculate the force step by step:
F = (9 x 10^9 Nm^2/C^2) * ((0.60 C) * (2.0 C) / (3.0 m)^2)
= (9 x 10^9 Nm^2/C^2) * (1.2 C^2 / 9.0 m^2)
= (9 x 10^9 Nm^2/C^2) * 0.133333 C^2/m^2
= 1.2 x 10^10 N
Therefore, the force between the charges of +0.60 C and +2.0 C, separated by a distance of 3.0 m, is 1.2 x 10^10 N.
To calculate the forces between two charges, we need to use Coulomb's Law. Coulomb's Law states that the force between two charges is proportional to the product of their magnitudes and inversely proportional to the square of the distance between them.
The formula for Coulomb's Law can be written as:
F = k * (q1 * q2) / r^2
Where:
F is the force between the charges,
k is the electrostatic constant (k = 9.0 x 10^9 Nm^2/C^2),
q1 and q2 are the magnitudes of the charges, and
r is the distance between the charges.
In this case, q1 = +0.60 C, q2 = +2.0 C, and r = 3.0 m.
Plugging the values into the formula, we get:
F = (9.0 x 10^9 Nm^2/C^2) * (+0.60 C * +2.0 C) / (3.0 m)^2
Calculating the numerator, we have:
(+0.60 C * +2.0 C) = +1.20 C^2
Calculating the denominator, we have:
(3.0 m)^2 = 9.0 m^2
Substituting these values back into the formula, we get:
F = (9.0 x 10^9 Nm^2/C^2) * (1.20 C^2 / 9.0 m^2)
F = 1.20 x 10^9 N
Therefore, the force between the two charges is 1.20 x 10^9 N.