A visitor at a Michigan lighthouse is trying to measure the height of the lighthouse. She has a big spool of string, but she doe
1 answer:
The height of the light house is 17.86m.
To find the answer, we have to know about the simple pendulum.
<h3>How to find the height of the light house?</h3>- We have the expression for time period of the pendulum as,
where, g is acceleration due to gravity, and l is the length of the pendulum.
- For the pendulum with time period T kept at some height under the influence of gravity, then the height will be equal to,
Thus, we can conclude that, the height of the light house is 17.86m.
Learn more about the simple pendulum here:
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Answer:
Explanation:
Given:
- Three identical charges q.
- Two charges on x - axis separated by distance a about origin
- One on y-axis
- All three charges are vertices
Find:
- Find an expression for the electric field at points on the y-axis above the uppermost charge.
- Show that the working reduces to point charge when y >> a.
Solution
- Take a variable distance y above the top most charge.
- Then compute the distance from charges on the axis to the variable distance y:
- Then compute the angle that Force makes with the y axis:
cos(Q) = sqrt(3)*a / 2*r
- The net force due to two charges on x-axis, the vertical components from these two charges are same and directed above:
F_1,2 = 2*F_x*cos(Q)
- The total net force would be:
F_net = F_1,2 + kq / y^2
- Hence,
- Now for the limit y >>a:
- Insert limit i.e a/y = 0
Hence the Electric Field is off a point charge of magnitude 3q.