Question

The force between two objects is 60. N. One object has a positive charge of 1.2 x 10-6 C, while the other has a negative charge of -1.2 x 10-6 C. How far apart are the two objects in cm? (1.5 cm)

Answer 1

The distance between the two objects is 1.5 cm.

To calculate the distance between the two objects, we use the formula obtained from Columb's law

What is Columb's law?

Columb's law states that the force of attraction or repulsion between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

Formula:

• F = kqQ/r²............... Equation 1

Where:

• F = Force between the two objects
• r = Distance between the objects
• Q and q = charges on both objects respectively.
• k = Columb's constant

Make r the subject of the equation

• r = √(kqQ/F).............. Equation 2

From the question,

Given:

• F = 60 N
• q = 1.2×10⁻⁶ C
• Q = 1.2×10⁻⁶ C
• k = 8.99×10⁹

Substitute these values into equation 2

• r = √[(1.2×10⁻⁶×1.2×10⁻⁶×8.99×10⁹)/60]
• r = √[(12.9456×10⁻³)/60]
• r = √(2.16×10⁻⁴)
• r = 1.47×10⁻² m
• r = 1.47 cm
• r ≈ 1.5 cm.

Hence, The distance between the two objects is 1.5 cm.

Learn more about Columb's law here:https://brainly.com/question/24743340