"two point charges exert a 6.50 n force on each other. what will the force (in n) become if the distance between them is increased by a factor of 8? "

0.102N

Explanation:

According to Coulomb law, the charge force between 2 points charge is directly proportional to the product of the charges and inversely proportional to the square of distance between the point charges. This means if the distance between them is increased by a factor of 8, then the charge force must be decreased by a factor of 8*8 = 64.

So the new charge force F = 6.5 / 64 = 0.102 N

pecialized keyboards

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 .