Question
What do you observe about the electrostatic force between the charged particles? (Hint: Force is measured in Newtons (N)).
(1 point)
Responses

Both forces are 639.115 N.
Both forces are 639.115 N.

Both forces are 319.557 N
Both forces are 319.557 N

Neither one has a force.
(1 point)
Responses

Both forces are 639.115 N.
Both forces are 639.115 N.

Both forces are 319.557 N
Both forces are 319.557 N

Neither one has a force.
Answers
GPT-4o mini
To determine the electrostatic force between charged particles, you can refer to Coulomb's Law, which states that the electrostatic force \( F \) between two point charges is directly proportional to the product of the magnitudes of the charges \( q_1 \) and \( q_2 \), and inversely proportional to the square of the distance \( r \) between them:
\[
F = k \frac{|q_1 \cdot q_2|}{r^2}
\]
where \( k \) is Coulomb's constant (\( 8.99 \times 10^9 \, \text{N m}^2/\text{C}^2 \)).
Given the options you have presented, if both forces are stated to be equal (as in the first two options) and have values of 639.115 N or 319.557 N, the first point to note is that the electrostatic force exerted by one charge on another will be equal in magnitude and opposite in direction (Newton's Third Law) for both particles involved.
Assuming both charges are non-zero and there is a measurable distance between them, if the calculated forces are both 639.115 N or both 319.557 N, this indicates that they exert equal forces on each other, following Coulomb's law.
If no specific context is given on whether these forces were calculated correctly, we can conclude that, as per Newton’s Third Law, if both are equal, the statement must be true.
Thus, without further context, we cannot definitively select the correct numerical response; however, we can assert that if both calculated values are equal and valid, they denote the forces exerted between the two charges.
So the takeaway should be:
- If both forces are equal, the system is exhibiting the expected characteristics of electrostatic interaction.
- If both values of 639.115 N or 319.557 N represent the forces correctly, they are both valid observations of the situation.
If based on the data provided, the correct responses should be marked as both forces being equal, but the specific numerical value can only be validated if the context of the forces is known.
\[
F = k \frac{|q_1 \cdot q_2|}{r^2}
\]
where \( k \) is Coulomb's constant (\( 8.99 \times 10^9 \, \text{N m}^2/\text{C}^2 \)).
Given the options you have presented, if both forces are stated to be equal (as in the first two options) and have values of 639.115 N or 319.557 N, the first point to note is that the electrostatic force exerted by one charge on another will be equal in magnitude and opposite in direction (Newton's Third Law) for both particles involved.
Assuming both charges are non-zero and there is a measurable distance between them, if the calculated forces are both 639.115 N or both 319.557 N, this indicates that they exert equal forces on each other, following Coulomb's law.
If no specific context is given on whether these forces were calculated correctly, we can conclude that, as per Newton’s Third Law, if both are equal, the statement must be true.
Thus, without further context, we cannot definitively select the correct numerical response; however, we can assert that if both calculated values are equal and valid, they denote the forces exerted between the two charges.
So the takeaway should be:
- If both forces are equal, the system is exhibiting the expected characteristics of electrostatic interaction.
- If both values of 639.115 N or 319.557 N represent the forces correctly, they are both valid observations of the situation.
If based on the data provided, the correct responses should be marked as both forces being equal, but the specific numerical value can only be validated if the context of the forces is known.