Answer:
Explanation:
We define the linear density of charge as:
Where L is the rod's length, in this case the semicircle's length L = πr
The potential created at the center by an differential element of charge is:
where k is the coulomb's constant
r is the distance from dq to center of the circle
Thus.
Potential at the center of the semicircle
Answer:
The force constant is
The energy stored in the spring is
Explanation:
From the question we are told that
The mass of the object is
The period is
The period of the spring oscillation is mathematically represented as
where k is the force constant
So making k the subject
substituting values
The energy stored in the spring is mathematically represented as
Where x is the spring displacement which is given as
substituting values