The work W required to move a particle from a far distance to within radius r of another particle varies jointly as the product of the two particles' charges q1 and q2 and inversely as the radius r. Write a formula that models this proportion. (Use k as the constant of variation.)

Respuesta :

Answer:

W = kq1q2 / r

Step-by-step explanation:

W varies jointly as the product of q1 and q2 and inversely as radius r

Product of q1 and q2 = q1q2

W = (k*q1"q2) / r

W = kq1q2 / r

Where,

W = work

q1 = particle 1

q2 = particle 2

r = radius

k = constant of proportionality

The answer is W = kq1q2 / r

Using proportions, it is found that the formula is:

[tex]W = k\frac{q_1q_2}{r}[/tex]

  • Work varies jointly as the charges, thus, the charges are in the numerator.
  • Inversely as the radius, thus, the radius is in the denominator.
  • There is a constant of proportionality k, which multiplies the fraction;

Then, the formula is:

[tex]W = k\frac{q_1q_2}{r}[/tex]

A similar problem is given at https://brainly.com/question/18131403