Final answer:
To calculate the magnitude of the net electrostatic force exerted on the charge at the lower left-hand corner by the other three charges, we can use Coulomb's law. Coulomb's law states that the force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
Step-by-step explanation:
To calculate the magnitude of the net electrostatic force exerted on the charge at the lower left-hand corner by the other three charges, we can use Coulomb's law. Coulomb's law states that the force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. In this case, we have four identical point charges of +10 at the corners of a rectangle. The distance between the charge at the lower left-hand corner and the other three charges is the length of the rectangle. Using the formula for Coulomb's law, we can calculate the magnitude of the net force.
First, let's calculate the individual forces exerted on the charge by each of the other charges. The magnitude of the force between two point charges is given by the formula:
F = k * (q1 * q2) / r^2
where F is the magnitude of the force, k is the electrostatic constant (9 × 10^9 N m^2/C^2), q1 and q2 are the charges, and r is the distance between the charges. Since all four charges are identical and equidistant from each other, the magnitudes of the individual forces will be the same. Let's calculate the force:
F = (9 × 10^9 N m^2/C^2) * (10 C * 10 C) / (60 cm)^2
F = (9 × 10^9 N m^2/C^2) * 100 C^2 / (0.6 m)^2
F = (9 × 10^9 N m^2/C^2) * 100 C^2 / (0.36 m^2)
F = (9 × 10^9 N m^2) * 100 / 0.36
F = 90000000 / 0.36
F = 250000000 N
Now, since there are three other charges exerting this force on the charge at the lower left-hand corner, we need to multiply this force by 3 to calculate the net force:
Net Force = 250000000 N * 3
Net Force = 750000000 N
Therefore, the magnitude of the net electrostatic force exerted on the charge at the lower left-hand corner by the other three charges is 750000000 N.