Strength of Electrical Forces Quick Check
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Question
Which of the following statements accurately reflects the relationship between force and distance in Coulomb’s Law?(1 point)
Responses
They are proportional; as distance increases, the force between two charges will decrease.
They are proportional; as distance increases, the force between two charges will decrease.
They are inversely proportional; as distance increases, the force between two charges will also increase.
They are inversely proportional; as distance increases, the force between two charges will also increase.
They are inversely proportional; as distance increases, the force between two charges will decrease.
They are inversely proportional; as distance increases, the force between two charges will decrease.
They are proportional; as distance increases, the force between two charges will also increase.
They are inversely proportional; as distance increases, the force between two charges will decrease.
The correct answer is: They are inversely proportional; as distance increases, the force between two charges will decrease.
The correct answer is: They are inversely proportional; as distance increases, the force between two charges will decrease.
To understand why this is the correct answer, we can refer to Coulomb's Law. Coulomb's Law states that the force between two charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them.
Mathematically, Coulomb's Law can be written as F = k * (q1 * q2) / r^2, where F is the electrical force, k is the electrostatic constant, q1 and q2 are the magnitudes of the charges, and r is the distance between the charges.
From this equation, we can see that as the distance (r) increases, the denominator (r^2) becomes larger. As a result, the force (F) between the charges will decrease, indicating an inversely proportional relationship between force and distance.
Therefore, the correct statement is: They are inversely proportional; as distance increases, the force between two charges will decrease.