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Calculating Coulomb Force between Two Copper Balls
Given:
- Weight of each copper ball = 10g
- Distance between the balls = 10cm
- One electron from every 10^6 atoms is transferred from one ball to another
Calculating Charge on Each Copper Ball
Since one electron from every 10^6 atoms is transferred from one ball to another, we can calculate the number of atoms in each ball:
Number of atoms in each ball = (Weight of each ball / Atomic weight of copper) x Avogadro's number
Number of atoms in each ball = (10g / 63.55g/mol) x 6.022 x 10^23
Number of atoms in each ball = 9.48 x 10^22
Now, we can calculate the total number of electrons transferred from one ball to another:
Number of electrons transferred = (Number of atoms in each ball / 10^6)
Number of electrons transferred = (9.48 x 10^22 / 10^6)
Number of electrons transferred = 9.48 x 10^16
Since one electron has a charge of -1.602 x 10^-19 C, the total charge on each ball can be calculated as:
Charge on each ball = (Number of electrons transferred) x (-1.602 x 10^-19 C)
Charge on each ball = (9.48 x 10^16) x (-1.602 x 10^-19 C)
Charge on each ball = -1.52 x 10^-2 C
Calculating Coulomb Force between Two Copper Balls
Using Coulomb's Law, we can calculate the force of attraction between the two charged copper balls:
Force = (Charge on ball 1 x Charge on ball 2) / (4πεr^2)
Where ε is the permittivity of air and r is the distance between the two balls.
Substituting the values, we get:
Force = ((-1.52 x 10^-2 C) x (-1.52 x 10^-2 C)) / (4π x 8.85 x 10^-12 C^2/Nm^2 x (0.1m)^2)
Force = 1.36 x 10^-8 N
Conclusion
The Coulomb force between the two copper balls is 1.36 x 10^-8 N.