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QUESTION IMAGE

| | set 1 | set 2 | | charge 1 | 30 c | 45 c | | charge 2 | 15 c | 15 c…

Question

set 1set 2
charge 130 c45 c
charge 215 c15 c
distance7 å7 å

which set has more coulombic force?
remember : $f_c = \frac{k(q_1q_2)}{d^2}$
set 1
the sets have an equal amount of coulombic force.
set 2

Explanation:

Step1: Recall Coulomb's Law

The formula for Coulombic force is \( F_c = \frac{k(q_1q_2)}{d^2} \), where \( k \) is a constant, \( q_1, q_2 \) are charges, and \( d \) is distance. Since \( k \) and \( d \) (both 7 Å) are same for both sets, we compare \( q_1q_2 \).

Step2: Calculate \( q_1q_2 \) for Set 1

For Set 1: \( q_1 = 30 \, \text{C}, q_2 = 15 \, \text{C} \). So \( q_1q_2 = 30 \times 15 = 450 \, \text{C}^2 \).

Step3: Calculate \( q_1q_2 \) for Set 2

For Set 2: \( q_1 = 45 \, \text{C}, q_2 = 15 \, \text{C} \). So \( q_1q_2 = 45 \times 15 = 675 \, \text{C}^2 \).

Step4: Compare the products

Since \( 675 > 450 \), and \( F_c \) is proportional to \( q_1q_2 \) (same \( k, d \)), Set 2 has larger \( F_c \).

Answer:

Set 2