Question

A student has an object with a charge of -3 Coulombs. Which of the following objects would have the strongest attraction to object A?(1 point)ResponsesAn object with a -4 charge at a distance of 2 cmAn object with a -4 charge at a distance of 2 cmAn object with a -3 charge at a distance of 5 cmAn object with a -3 charge at a distance of 5 cmAn object with a +3 charge at a distance of 2 cmAn object with a +3 charge at a distance of 2 cmAn object with a +3 charge at a distance of 5 cmAn object with a +3 charge at a distance of 5 cm

Answer 1

To determine which object has the strongest attraction to an object with a charge of -3 Coulombs, we can use Coulomb's Law, which states that the force \( F \) between two charges is given by:

\[
F = k \frac{|q_1 \cdot q_2|}{r^2}
\]

Where:
- \( F \) is the magnitude of the force between the charges,
- \( k \) is Coulomb's constant,
- \( q_1 \) and \( q_2 \) are the magnitudes of the two charges,
- \( r \) is the distance between the centers of the two charges.

In this case, we're looking for an attractive force, which occurs between opposite charges (i.e., a negative charge and a positive charge).

Let's evaluate the options:

1. **An object with a -4 charge at a distance of 2 cm**
- Charge: -4 C (Same sign, repulsive force)

2. **An object with a -3 charge at a distance of 5 cm**
- Charge: -3 C (Same sign, repulsive force)

3. **An object with a +3 charge at a distance of 2 cm**
- Charge: +3 C (Opposite sign, attractive force)
- Force: \( F = k \frac{|(-3)(+3)|}{(0.02)^2} = k \frac{9}{0.0004} = k \cdot 22500 \)

4. **An object with a +3 charge at a distance of 5 cm**
- Charge: +3 C (Opposite sign, attractive force)
- Force: \( F = k \frac{|(-3)(+3)|}{(0.05)^2} = k \frac{9}{0.0025} = k \cdot 3600 \)

Comparing the attractive forces calculated:

- For the +3 charge at 2 cm: \( F = k \cdot 22500 \)
- For the +3 charge at 5 cm: \( F = k \cdot 3600 \)

The strongest attraction would be from the object with a **+3 charge at a distance of 2 cm** because it produces the greatest force due to being closer, despite the charge being equal to the object with a distance of 5 cm.

**Final Answer:** An object with a +3 charge at a distance of 2 cm.