Question

The force F acting on a charged object varies inversely to the square of its distance r from another charged object. When two objects are 5.64 meters apart, the force acting on them is 0.0983 newton. Approximately how much force would the object feel if it were at a distance of 0.84 meters from the other object?

A) 0.00983 newton
B) 0.14745 newton
C) 0.983 newton
D) 1.4745 newton

Answer 1

The force acting on a charged object varies inversely to the square of its distance from another charged object. By using Coulomb's law, we can calculate the force between two charged objects. In this case, the approximate force the object would feel if it were at a distance of 0.84 meters from the other object is approximately 0.14745 newton.

Step-by-step explanation:

The force F acting on a charged object varies inversely to the square of its distance r from another charged object. We can use Coulomb's law to calculate the force between two charged objects. From the given information, when the objects are 5.64 meters apart, the force acting on them is 0.0983 newton. To find the force when the distance is 0.84 meters, we can use the equation:

F1/f2 = r2^2/r1^2

Substituting the known values, we get:

F2 = F1 * (r1/r2)^2

Plugging in the values, we get:

F2 = 0.0983 * (5.64/0.84)^2

F2 = 0.14745 newton

Therefore, the approximate force the object would feel if it were at a distance of 0.84 meters from the other object is approximately 0.14745 newton.