Question

What is the total force on the third sphere when initially placed at (2.00,2.00), considering gravitational forces between spheres A, B, and C?

A) (2.24 X 10⁻6 N) to the left
B) (1.12 X 10⁻6 N) to the right
C) (2.24 X 10⁻6 N) to the right
D) (1.12 X 10⁻6 N) to the left

Answer 1

To find the total force on the third sphere, we need to calculate the gravitational forces between the spheres and the electrostatic forces due to their charges. By using Newton's law of universal gravitation and Coulomb's law, we can determine the individual forces and combine them to find the total force.

Step-by-step explanation:

The total force on the third sphere can be calculated by combining the gravitational forces between the spheres and the electrostatic forces due to their charges.

Firstly, we need to determine the gravitational force between the third sphere and each of the anchored spheres.

Then, we can determine the electrostatic forces between the third sphere and each of the anchored spheres.

Adding up these forces will give us the total force on the third sphere.

To calculate the gravitational force between two spheres, we can use Newton's law of universal gravitation:

F = G * (m1 * m2) / r^2, where F is the force, G is the gravitational constant, m1 and m2 are the masses of the spheres, and r is the distance between them.

To calculate the electrostatic force between two spheres, we can use Coulomb's law: F = (k * |q1 * q2|) / r^2, where F is the force, k is the Coulomb constant, q1 and q2 are the charges on the spheres, and r is the distance between them.

By calculating the gravitational and electrostatic forces between the third sphere and each anchored sphere, and combining them appropriately, we can determine the total force on the third sphere.