Two charges are separated by 6.74 cm. Object A has a charge of 5.0 μ C , while object B has a charge of 7.0 μ C . What is the force on Object A?

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ANSWER

69.34 N

EXPLANATION

Given:

• The charge of object A, qA = 5 x 10⁻⁶ C

,

• The charge of object B, qB = 7 x 10⁻⁶ C

,

• The distance between the objects, r = 6.74 cm = 0.0674 m

Find:

• The force on Object A, FA

The magnitude of the force between two charged particles, q₁ and q₂, separated by a distance r is given by Coulomb's Law,

[tex]F=k\frac{q_1q_2}{r^2}[/tex]

Where k is Coulomb's constant and has a value of approximately 9x10⁹ Nm²/C²,

[tex]F=9\times10^9\frac{Nm^2}{C^2}\cdot\frac{5\times10^{-6}C\cdot7\times10^{-6}C}{0.0674^2m^2}\approx69.34N[/tex]

Hence, the force on object A is 69.34 N.