Two charges of $- 4 C$ $-4 C$ and $- 2 C$ $-2 C$ are positioned on a line at points $- 1$ $-1$ and $4$ $4$ , respectively. What is the net force on a charge of $- 4 C$ $-4 C$ at $1$ $1$ ?

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Two charges of $- 4 C$ $-4 C$ and $- 2 C$ $-2 C$ are positioned on a line at points $- 1$ $-1$ and $4$ $4$ , respectively. What is the net force on a charge of $- 4 C$ $-4 C$ at $1$ $1$ ?

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Answer 1 · 2016-03-28T08:30:02

$F_{net} = {28.10}^{9} N$ $F_"net"=28.10^9" N"$

Explanation:

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$The force between two charges is given by formula:$ $"The force between two charges is given by formula:"$

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

$r : distance between two charges$ $r:"distance between two charges"$
$q_{1} : the first charge$ $q_1:"the first charge"$
$q_{2} : the second charge$ $q_2:"the second charge"$
$F_{AB} : represents the force between charges A and B$ $F_"AB":" represents the force between charges A and B"$
$F_{CB} : represents the force between charges C and B$ $F_"CB":"represents the force between charges C and B"$
$F_{AB} and F_{CB} are opposite forces$ $F_"AB" and F_"CB" " are opposite forces"$
$F_{AB} = k \cdot \frac{(- 4) \cdot (- 4)}{2^{2}} F_{AB} = \frac{16 \cdot k}{4} = 4 \cdot k$ $F_"AB"=k*((-4)*(-4))/2^2" "F_"AB"=(16*k)/4=4*k$

$F_{CB} = k \cdot \frac{(- 2) \cdot (- 4)}{3^{2}} = F_{AB} = \frac{8 k}{9}$ $F_"CB"=k*((-2)*(-4))/3^2=" "F_"AB"=(8k)/9$

$F_{net} = F_{AB} - F_{CB}$ $F_"net"=F_"AB"-F_"CB"$

$F_{net} = 4 \cdot k - \frac{8 \cdot k}{9}$ $F_"net"=4*k-(8*k)/9$

$F_{net} = \frac{36 \cdot k - 8 \cdot k}{9}$ $F_"net"=(36*k-8*k)/9$

$F_{net} = \frac{28 \cdot k}{9} k = 9 \cdot 10^{9}$ $F_"net"=(28*k)/9" "k=9*10^9$

$F_"net"=(28*cancel(9)*10^9)/cancel(9)$

$F_"net"=28.10^9" N"$

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Two charges of $- 4 C$ $-4 C$ and $- 2 C$ $-2 C$ are positioned on a line at points $- 1$ $-1$ and $4$ $4$ , respectively. What is the net force on a charge of $- 4 C$ $-4 C$ at $1$ $1$ ?

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Two charges of -4 C −4C -4 C and -2 C−2C -2 C are positioned on a line at points -1 −1 -1 and 4 4 4 , respectively. What is the net force on a charge of -4 C−4C -4 C at 1 1 1 ?

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Two charges of $- 4 C$ $-4 C$ and $- 2 C$ $-2 C$ are positioned on a line at points $- 1$ $-1$ and $4$ $4$ , respectively. What is the net force on a charge of $- 4 C$ $-4 C$ at $1$ $1$ ?