Question

Two charges of `-2 C` and `4 C` are at points `(-2 , 7, 8)` and `( -8 ,6,1 )`, respectively. Assuming that both coordinates are in meters, what is the force between the two points?

Answer 1

`vec F=-8.4*10^8" "N`

Explanation:

`r:"distance between two charges"`

`r=sqrt((-8+2)^2+(6-7)^2+(1-8)^2)`

`r=sqrt((-6^2)+(-1)^2+(-7)^2)`

`r=sqrt(36+1+49)" "r=sqrt86`

`r^2=86`

`"Force between two charges is given as " vec F=k*(Q_1*Q_2)/r^2`

`vec F=9.10^9((-2)*4)/86`

`vec F=-(72*10^9)/86`

`vec F=-0.84*10^9`

`vec F=-8.4*10^8" "N`