How would you change the distance between two charged particles to increase the electric force between them by a factor of 25?A.Reduce the distance by a factor of 5.B.Increase the distance by a factor of 5.C.Reduce the distance by a factor of 25.D.Increase the distance by a factor of 25.
Question
How would you change the distance between two charged particles to increase the electric force between them by a factor of 25?A.Reduce the distance by a factor of 5.B.Increase the distance by a factor of 5.C.Reduce the distance by a factor of 25.D.Increase the distance by a factor of 25.
Solution
The electric force between two charged particles is governed by Coulomb's Law, which states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
Mathematically, this is represented as F = k * q1 * q2 / r^2, where F is the force, k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between the charges.
If you want to increase the electric force by a factor of 25, you need to change the distance in a way that squares to 1/25, because of the inverse square relationship.
The square root of 1/25 is 1/5. Therefore, you need to reduce the distance between the charges by a factor of 5.
So, the correct answer is A. Reduce the distance by a factor of 5.
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