Two identical objects have charges from +6.0*10^-6 and -2.0*10^-6, respectively. When placed a distance d apart, their force of attraction is 2,0N. If the objects are touched together, then they moved to a distance of separation of 2d, what will be the new force between them?
Ans: I tried the finding the distance d and then finding the new force, but i am not getting the value, i even tried the inverse square law , i got the same answer but not the one required 0.17N.
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To find the new force between the two objects when they are touched together and then moved to a distance of separation of 2d, we need to use the concept of electric charges and Coulomb's law.
First, let's analyze the given information:
- The charges of the objects are +6.0*10^-6 C and -2.0*10^-6 C.
- The initial distance between the objects is d.
- The initial force of attraction between them is 2.0 N.
We can use Coulomb's law to calculate the force of attraction between two charged objects:
F = k * (|q1 * q2| / r^2)
where:
F is the force of attraction,
k is Coulomb's constant (8.99 * 10^9 Nm^2/C^2),
q1 and q2 are the charges of the objects,
r is the distance between the objects.
Now, let's calculate the initial distance (d) using the given information:
2.0 N = k * (|6.0*10^-6 C * -2.0*10^-6 C| / d^2)
We need to solve this equation to find the value of d.
Next, the objects are touched together and then moved to a distance of separation of 2d. After touching, the objects now have an equal positive charge of 4.0*10^-6 C.
Now, let's calculate the new force between the objects when they are at a distance of 2d using Coulomb's law:
F' = k * (|4.0*10^-6 C * 4.0*10^-6 C| / (2d)^2)
Solving this equation will give you the value of the new force (F').
It seems like you have tried different approaches to solve the problem, but have not obtained the expected result of 0.17 N. It might be helpful to double-check your calculations and ensure that you are substituting the correct values.