Two particles with charges of +5.70 nC and −8.55 nC are separated by 2.40 m. (a) What is the magnitude of the electrostatic force between the particles? N

Respuesta :

Answer:

The magnitude of the electrostatic force is [tex]7.615\times10^{-8}\ N[/tex]

Explanation:

Given that,

Charge [tex]q_{1}= 5.70\ nC[/tex]

Charge [tex]q_{2}=-8.55\ nC[/tex]

Distance = 2.40 m

We need to calculate the electrostatic force

Using formula of electrostatic force

[tex]F= \dfrac{kq_{1}q_{2}}{d^2}[/tex]

Where, k = coulomb's constant

q = magnitude of the charge

d = distance

Put the value into the formula

[tex]F=\dfrac{9\times10^{9}\times5.70\times10^{-9}\times8.55\times10^{-9}}{(2.40)^2}[/tex]

[tex]F=7.615\times10^{-8}\ N[/tex]

Hence, The magnitude of the electrostatic force is [tex]7.615\times10^{-8}\ N[/tex]

The electrostatic force between the two particles is 76.14nN

Data;

  • q1 = 5.70 nC
  • q2 = -8.55 nC
  • r = 2.40

Electrostatic Force

To find the electrostatic force between the two charges, we would apply coulomb's law which is given as

[tex]F = \frac{kq_1q_2}{r^2}[/tex]

Let's substitute the values and solve.

[tex]F = \frac{9*10^9 * 5.70*10^-^9 * 8.55*10^-^9}{2.4^2}\\ F = 7.61*10^-8N\\F = 76.14nN[/tex]

The electrostatic force between the two particles is 76.14nN

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