Question

A charge of `2 C` is at `(-3 ,7)` and a charge of `3 C` is at `( 2,-5 )`. If both coordinates are in meters, what is the force between the charges?

Answer 1

`F~=0,3699*10^9 N`

Explanation:

`given data:`
`"r :distance between two charges"`
`q_1 " :2C charge"`
`q_2 " :3C charge"`
`"k :"9*10^9" Coulomb's constant"`
`"formula for solving this problem:"`
`F=(k*q_1*q_2)/r^2" (Coulomb's law)"`
`"find distance between two points."`
`r=sqrt((2-(-3))^2+(-5-7)^2)`
`r=sqrt(5^2+(-11)^2`
`r=sqrt(25+121)`
`r=sqrt 146`
`r^2=146 m`
`"fill data into formula"`
`F=(9*10^9*2*3)/146`
`F=(54*10^9)/146`
`F~=0,3699*10^9 N " Force between two point"`