What happens to the potential energy when two dissimilar charges are brought near each other?
Answers
Potential energy is converted into kinetic energy (or released in some other form). For simplicity’s sake, we’ll assume that the positive charge is motionless - it works out the same if we treat both charges as moving but it makes the math messier. I’m also assuming from how the question was phrased that we’re dealing with point charges.
Let the positive charge be denoted Q, the negative charge q, and the separation r. Let k be coulomb’s constant. Then the force between Q and q is
Fe=kQqr2.
Which points from one charge to the other along the line connecting them. Since we’re considering the positive charge as being fixed in space, we’ll only look at the force acting on the negative charge.
Since the electrostatic force is conservative, we can say that the change in potential energy stored in the field is the opposite of the work done by the field. The work done by the field is the integral of force over displacement. If you’re not familiar with integrals, you can think of it as multiplying the force at each point on the path by a tiny little movement along that path and then adding them up. The integral is
W=∫bakQqr2dr=kQqa−kQqb.
where a is the initial position and b is the final position. Since the change in potential energy is the opposite of work, we can write it as
△U=−W=kQqb−kQqa.
For simplicity, we’ll call the position of Q to be the origin. Since the distance between Q and q is decreasing, the final position must be smaller than the initial position - i.e. b is smaller than a. Looking at the above formula, we notice that putting a smaller number for b than a returns a positive number, contrary to what I claimed at the beginning of my answer - that potential energy would be released. This is resolved by remembering that q is negative.
Answer:
Explanation:
hey here is your answer...........
when a body covers equal distances in equal interval of time then it is said uniform motion
when a body cover unequal distances in equal interval of time then it is said to be non uniform motion.
hope it is helpful