Some passengers on an ocean cruise may suffer from motion sickness as the ship rocks back and forth on the waves. At one positio
n on the ship, passengers experience a vertical motion of amplitude 1.0 m with a period of 13 s .
What fraction is this of g?
What is the maximum acceleration of the passengers during this motion?
What fraction is this of g?
What is the maximum acceleration of the passengers during this motion?
2 answers:
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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.