Two balls of radius 2.00 mm have a separation between their centers of 5.33 cm. The same electric charge is placed on both balls so that there is a repulsive force between them of 2.75 N. Assume that the charge is uniformly distributed over each ball. What is the magnitude of the charge

Charges,  

Explanation:

Given that,

Radius of the balls is 2 mm

The force of repulsion acting on the balls, F = 2.75 N

The separation between the spheres, d = 5.33 cm = 0.0533 m

The force of repulsion between charges is given by :

So, the charge on the spheres is . Hence, this is the required solution.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .