Answer:
To find the net force on particle q1, we need to consider the forces exerted on it by the other two particles, q2 and q3.
1. Calculate the force between q1 and q2:
- The force between two charges can be found using Coulomb's law: F = k * |q1 * q2| / r^2, where k is the electrostatic constant (k ≈ 9 x 10^9 Nm^2/C^2), |q1 * q2| is the absolute value of the product of the charges, and r is the distance between the charges.
- Since q1 and q2 have opposite charges, the force between them will be attractive and negative.
- Plugging in the values, we have F1 = - (9 x 10^9 Nm^2/C^2) * |(-29.6 x 10^-6 C) * (37.7 x 10^-6 C)| / (0.630 m)^2.
2. Calculate the force between q2 and q3:
- The force between q2 and q3 can be calculated in the same way as before, using Coulomb's law.
- Since q2 and q3 also have opposite charges, the force between them will be attractive and negative.
- Plugging in the values, we have F2 = - (9 x 10^9 Nm^2/C^2) * |(37.7 x 10^-6 C) * (10.8 x 10^-6 C)| / (0.315 m)^2.
3. Find the net force on q1:
- Since the forces are in the same direction (leftward), we need to add them together.
- The net force on q1 is given by F_net = F1 + F2.
Calculate F1 and F2 using the given values and substitute them into the equation for F_net to find the net force on particle q1. Remember to consider the signs of the forces and indicate whether the net force is positive (pointing right) or negative (pointing left) based on the result.
Step-by-step explanation:
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