Two charges of $- 1 C$ $-1 C$ and $5 C$ $5 C$ are at points $(1, 0, 3)$ $(1,0,3 )$ and $(- 3, 5, - 81)$ $( -3, 5,-81 )$ , respectively. Assuming that both coordinates are in meters, what is the force between the two points?

Question

Two charges of $- 1 C$ $-1 C$ and $5 C$ $5 C$ are at points $(1, 0, 3)$ $(1,0,3 )$ and $(- 3, 5, - 81)$ $( -3, 5,-81 )$ , respectively. Assuming that both coordinates are in meters, what is the force between the two points?

1 Answer

Impact of this question

1474 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-01-05T06:40:40

The force is $= - 6.3 \cdot 10^{6} N$ $=-6.3*10^6N$

Explanation:

The force between $2$ $2$ charges $q_{1}$ $q_1$ and $q_{2}$ $q_2$ is

$F = k \frac{q_{1} \cdot q_{2}}{r^{2}}$ $F=k(q_1*q_2)/r^2$

Where $r$ $r$ is the distance between the charges.

And the constant $k = 9 \cdot 10^{9} N m^{2} C^{- 2}$ $k=9*10^9Nm^2C^-2$

The charge $q_{1} = - 1 C$ $q_1=-1C$

The charge $q_{2} = 5 C$ $q_2=5C$

The distance is

$r = \sqrt{{(- 3 - 1)}^{2} + {(5 - 0)}^{2} + {(- 81 - 3)}^{2}} = \sqrt{16 + 25 + 7056}$ $r=sqrt((-3-1)^2+(5-0)^2+(-81-3)^2)=sqrt(16+25+7056)$

$= \sqrt{7097}$ $=sqrt(7097)$

Therefore,

The force is $= 9 \cdot 10^{9} \cdot \frac{(- 1) \cdot (5)}{7097} = - 0.0063 \cdot 10^{9} = - {6.310}^{6} N$ $=9*10^9*((-1)*(5))/(7097)=-0.0063*10^9=-6.310^6N$

The negative sign indicates that the force is attractive

Science

Math

Humanities

... and beyond

Two charges of $- 1 C$ $-1 C$ and $5 C$ $5 C$ are at points $(1, 0, 3)$ $(1,0,3 )$ and $(- 3, 5, - 81)$ $( -3, 5,-81 )$ , respectively. Assuming that both coordinates are in meters, what is the force between the two points?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

Two charges of −1C -1 C and 5C 5 C are at points (1,0,3) (1,0,3 ) and (−3,5,−81) ( -3, 5,-81 ), respectively. Assuming that both coordinates are in meters, what is the force between the two points?

1 Answer

Explanation:

Related questions

Impact of this question

Two charges of $- 1 C$ $-1 C$ and $5 C$ $5 C$ are at points $(1, 0, 3)$ $(1,0,3 )$ and $(- 3, 5, - 81)$ $( -3, 5,-81 )$ , respectively. Assuming that both coordinates are in meters, what is the force between the two points?