Question

The force, F, acting on a charged object varies inversely to the square of its distance, d, from another charged object. When the two objects are 6.34 meters apart, the force acting on them is 0.0998 Newton. Approximately what would be the distance of the object if the force is

Your answer will be 0.0876 Newton?

Answer 1

To find the distance of the object when the force is approximately 0.0876 Newton, we can use Coulomb's law. The equation for Coulomb's law is F = k * (1/d^2). By substituting the given values, we can solve for the distance, d.

Step-by-step explanation:

To find the distance of the object when the force is approximately 0.0876 Newton, we can use Coulomb's law, which states that the force between two charged objects is inversely proportional to the square of the distance between them. We know that when the objects are 6.34 meters apart, the force is 0.0998 Newton. Therefore, we can set up the equation:

F = k * (1/d^2)

Solving for d, we have:

d = sqrt(k/F)

Substituting in the given values:

d = sqrt(k/0.0876)

Using the given information, we can find the value of k. By comparing it to the given equation 1/47€ = 2.31 × 10¹6 J pm, we can determine that k is approximately equal to 2.31 × 10¹6 J pm. Plugging this value into the equation, we get:

d = sqrt((2.31 × 10¹6)/(0.0876))

Calculating this value gives us the approximate distance of the object when the force is 0.0876 Newton.