Two charges of $- 2 C$ $-2 C$ and $3 C$ $3 C$ are positioned on a line at points $5$ $5$ and $- 6$ $-6$ , respectively. What is the net force on a charge of $- 1 C$ $-1 C$ at $0$ $0$ ?

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Two charges of $- 2 C$ $-2 C$ and $3 C$ $3 C$ are positioned on a line at points $5$ $5$ and $- 6$ $-6$ , respectively. What is the net force on a charge of $- 1 C$ $-1 C$ at $0$ $0$ ?

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Answer 1 · 2016-02-12T19:08:36

$F_{n} = 3 \cdot 10^{7}$ $F_n=3*10^7$

Explanation:

$F : force between two charges$ $F:" force between two charges"$
$F = k \cdot \frac{q_{1} \cdot q_{2}}{r^{2}} Coulomb's law$ $F=k*(q_1*q_2)/r^2" Coulomb's law"$
$x : distance between the charge of 3C and -1C$ $x:" distance between the charge of 3C and -1C"$
$x = 6 - 0 = 6$ $x=6-0=6$
$y : distance between the charge of -1C and -2C$ $y:" distance between the charge of -1C and -2C"$
$y : 5 - 0 = 5$ $y:5-0=5$
$F_{1} : Force between the charge of 3C and -1C$ $F_1:" Force between the charge of 3C and -1C"$
$F_{1} = k \cdot \frac{3 \cdot (- 1)}{6^{2}}$ $F_1=k*(3*(-1))/6^2$
$F_{1} = \frac{- 3 \cdot k}{36}$ $F_1=(-3*k)/36$
$F_{2} : Force between the charge of -1C and -2C$ $F_2:" Force between the charge of -1C and -2C"$
$F_{2} = \frac{k \cdot (- 1) \cdot (- 2)}{5^{2}}$ $F_2=(k*(-1)*(-2))/5^2$
$F_{2} = \frac{2 \cdot k}{25}$ $F_2=(2*k)/25$
$F_{n} = \frac{- 3 \cdot k}{36} + \frac{2 \cdot k}{25}$ $F_n=(-3*k)/36+(2*k)/25$
$F_{n} = \frac{- 75 \cdot k + 72 \cdot k}{36 \cdot 25}$ $F_n=(-75*k+72*k)/(36*25)$
$F_n=(-cancel(3)*k)/(cancel(36)*25)$
$F_n=k/(12*25)" , "k=9*10^9$
$F_n=(cancel(9)*10^9)/(cancel(12)*25)" ; "F_n=(3*10^9)/(4*25)$
$F_n=3*10^7$

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Two charges of $- 2 C$ $-2 C$ and $3 C$ $3 C$ are positioned on a line at points $5$ $5$ and $- 6$ $-6$ , respectively. What is the net force on a charge of $- 1 C$ $-1 C$ at $0$ $0$ ?

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Two charges of -2 C −2C -2 C and 3 C3C 3 C are positioned on a line at points 5 5 5 and -6 −6 -6 , respectively. What is the net force on a charge of -1 C−1C -1 C at 0 0 0 ?

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Two charges of $- 2 C$ $-2 C$ and $3 C$ $3 C$ are positioned on a line at points $5$ $5$ and $- 6$ $-6$ , respectively. What is the net force on a charge of $- 1 C$ $-1 C$ at $0$ $0$ ?