Answer:
Explanation:
We define the linear density of charge as:
![\lambda = \frac{Q}{L}](https://tex.z-dn.net/?f=%5Clambda%20%3D%20%5Cfrac%7BQ%7D%7BL%7D)
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:
![dv = \frac{kdq}{r}](https://tex.z-dn.net/?f=dv%20%3D%20%5Cfrac%7Bkdq%7D%7Br%7D)
where k is the coulomb's constant
r is the distance from dq to center of the circle
Thus.
![v = \frac{k}{a}\int_{}^{}dq](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7Bk%7D%7Ba%7D%5Cint_%7B%7D%5E%7B%7Ddq)
Potential at the center of the semicircle
Answer:
350 N/m
Explanation:
If we are assuming the stretch does not exceed the elastic range of the material, then by Hooke's law the spring constant of the cord is simply the ratio between the force 70N acting on the cord to stretch 20cm or 0.2m
k = 70 / 0.2 = 350 N/m
The spring constant is 350 N/m
Answer: Gravitational potential energy changes.
Explanation: This is because depending on the amount of mass in an object that’s the amount of gravity pulling you down to the center of the earth