To calculate the resultant force at Q3, we need to calculate the individual forces between Q1 and Q3 and between Q2 and Q3.
The formula to calculate the force between two charged particles is:
F = k * (|Q1| * |Q2|) / r^2
where F is the force, k is the Coulomb's constant (k = 8.99 * 10^9 Nm^2/C^2), Q1 and Q2 are the charges in Coulombs, and r is the distance in meters.
First, let's calculate the force between Q1 and Q3:
|Q1| = |-16 μC| = 16 μC
r1 = 0.6m
F1 = k * (|Q1| * |Q3|) / r1^2
= (8.99 * 10^9 Nm^2/C^2) * ((16 * 10^-6 C) * (8 * 10^-6 C)) / (0.6m)^2
Next, calculate the force between Q2 and Q3:
|Q2| = |6 μC| = 6 μC
r2 = 0.3m
F2 = k * (|Q2| * |Q3|) / r2^2
= (8.99 * 10^9 Nm^2/C^2) * ((6 * 10^-6 C) * (8 * 10^-6 C)) / (0.3m)^2
Finally, we can find the resultant force at Q3 by summing up F1 and F2 using vector addition:
resultant force = √((F1^2 + F2^2) + 2 * F1 * F2 * cosθ)
where θ is the angle between the forces F1 and F2.
Since the problem does not provide the angle between the forces, we cannot calculate the resultant force without this information.
Calculate the resultant force at Q3
IF
Q1=-16 μC
distances from Q1 TO Q2 is =0.6m
Q2=6 μC
distances from Q1 to Q2 is =0.3m
Q3=-8 μC
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