Two charges of $- 2 C$ $-2 C$ and $6 C$ $6 C$ are positioned on a line at points $3$ $3$ and $4$ $4$ , respectively. What is the net force on a charge of $- 5 C$ $-5 C$ at $0$ $0$ ?

Question

Two charges of $- 2 C$ $-2 C$ and $6 C$ $6 C$ are positioned on a line at points $3$ $3$ and $4$ $4$ , respectively. What is the net force on a charge of $- 5 C$ $-5 C$ at $0$ $0$ ?

1 Answer

Impact of this question

1687 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-05T13:04:16

$6.9 \times 10^{9} N$ $6.9xx10^9N$ attractive force.

Explanation:

The electrical force is given by

$F = k \frac{Q_{1} Q_{2}}{r^{2}}$ $F = k(Q_1Q_2)/r^2$

where $k \approx 9 \times 10^{9}$ $k ~~ 9xx10^9$ is Coulomb's constant, $Q$ $Q$ is the charge and $r$ $r$ is the distance between them.

The force between the $- 2 C$ $-2C$ and $- 5 C$ $-5C$ charges is

$F = 9 \times 10^{9} \times \frac{- 2 \times - 5}{3^{2}} = 10^{10} N$ $F = 9xx10^9 xx (-2 xx -5)/3^2 = 10^10N$

and, between the $6 C$ $6C$ and $- 5 C$ $-5C$ charges, is

$F = 9 \times 10^{9} \times \frac{6 \times - 5}{4^{2}} = - 1.69 \times 10^{10}$ $F = 9xx10^9 xx (6 xx -5)/4^2 = -1.69 xx 10^10$

The net force is the sum of the forces, so

$F_{net} = 10^{10} + (- 1.69 \times 10^{10}) = - 6.9 \times 10^{9} N$ $F_("net") = 10^10 + (-1.69xx10^10) = -6.9xx10^9N$

This is in the negative direction, which is the same direction as the force between the $- 5 C$ $-5C$ and $6 C$ $6C$ charges, which must attract because the are opposites. Therefore, the net force is attractive, too.

Science

Math

Humanities

... and beyond

Two charges of $- 2 C$ $-2 C$ and $6 C$ $6 C$ are positioned on a line at points $3$ $3$ and $4$ $4$ , respectively. What is the net force on a charge of $- 5 C$ $-5 C$ at $0$ $0$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

Two charges of −2C -2 C and 6C 6 C are positioned on a line at points 3 3 and 4 4 , respectively. What is the net force on a charge of −5C -5 C at 0 0 ?

1 Answer

Explanation:

Related questions

Impact of this question

Two charges of $- 2 C$ $-2 C$ and $6 C$ $6 C$ are positioned on a line at points $3$ $3$ and $4$ $4$ , respectively. What is the net force on a charge of $- 5 C$ $-5 C$ at $0$ $0$ ?