A small cork with an excess charge of +6.0 μC (1 μC = 10^-6 C) is placed 0.12 m from another cork, which carries a charge of -4.3 μC.
a. What is the magnitude of the electric force between the corks?
b. Is this force attractive or repulsive?
c. How many excess electrons are on the negative cork?
d. How many electrons has the positive cork lost?
Please explain it. I want the answer, but I also want to understand it. Thank you!
To determine the magnitude of the electric force between the corks, we can use Coulomb's Law, which states that the magnitude of the force between two charges is given by the equation:
F = (k * |q1 * q2|) / r^2
Where:
F is the magnitude of the force,
k is the electrostatic constant (k = 9.0 x 10^9 N·m^2/C^2),
q1 and q2 are the charges on the corks, and
r is the distance between the corks.
Let's denote q1 as the charge of the first cork (+6.0 μC) and q2 as the charge of the second cork (-4.3 μC). The distance between the corks is given as 0.12 m.
a. To find the magnitude of the electric force between the corks, we substitute the given values into the equation:
F = (9.0 x 10^9 N·m^2/C^2) * |(6.0 x 10^-6 C) * (-4.3 x 10^-6 C)| / (0.12 m)^2
Calculating this expression gives us the value of the electric force.
b. To determine if the force is attractive or repulsive, we need to analyze the signs of the charges. In this case, one cork has a positive charge, and the other has a negative charge. Opposite charges attract, so the force between the corks is attractive.
c. To calculate the number of excess electrons on the negative cork, we can divide its charge by the elementary charge. The elementary charge, represented by e, is the charge of a single electron, approximately 1.6 x 10^-19 C.
Number of excess electrons on the negative cork = (-4.3 x 10^-6 C) / (1.6 x 10^-19 C)
Calculating this expression will give us the number of excess electrons on the negative cork.
d. Similarly, we can calculate the number of electrons lost by the positive cork. Since the positive cork has a positive charge, we divide it by the elementary charge to find the number of electrons lost.
Number of electrons lost by the positive cork = (6.0 x 10^-6 C) / (1.6 x 10^-19 C)
Calculating this expression will give us the number of electrons lost by the positive cork.
To find the answers to these questions, we need to use Coulomb's Law, which describes the electric force between two charged objects. Coulomb's Law states that the magnitude of the electric force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
a. To find the magnitude of the electric force between the corks, we can use the equation:
F = k * (|q1| * |q2|) / r^2
Where F is the electric force, k is Coulomb's constant, q1 and q2 are the charges of the corks, and r is the distance between them.
First, let's convert the given charges to Coulombs:
Charge of the positive cork = +6.0 μC = +6.0 * 10^(-6) C
Charge of the negative cork = -4.3 μC = -4.3 * 10^(-6) C
Distance between the corks, r = 0.12 m
Now, let's substitute these values into the equation:
F = (9 * 10^9 N * m^2/C^2) * (|+6.0 * 10^(-6) C| * |-4.3 * 10^(-6) C|) / (0.12 m)^2
Calculating this expression will give us the magnitude of the electric force between the corks.
b. To determine whether the force is attractive or repulsive, we need to consider the signs of the charges. A positive charge (+) and a negative charge (-) will exert an attractive force on each other, while two charges of the same sign will exert a repulsive force.
By looking at the given charges, we can see that one cork has a positive charge, and the other has a negative charge, indicating an attractive force.
c. To find the number of excess electrons on the negative cork, we can use the fact that one elementary charge is equivalent to the charge of one electron, which is approximately 1.6 * 10^(-19) C.
Since the negative charge on the cork is -4.3 μC, we can calculate the number of excess electrons using the equation:
Number of excess electrons = |(Charge of the negative cork)| / (Charge of one electron)
d. Similarly, to find the number of electrons lost by the positive cork, we can use the equation:
Number of electrons lost = |(Charge of the positive cork)| / (Charge of one electron)
By substituting the values into these equations, we can find the answers to c and d.
Remember to carry out the necessary unit conversions and calculations to obtain the final answer for each question.
opposite charges, they attract.
Use coulombs law to find the force.
c. excells= chargeonCork/chargeononeElectron