We have that The ratio U1/U2 of their potential energies due to their interactions with Q is
From the question we are told that
Question 1
Charge q1 is distance r from a positive point charge Q.
Question 2
Charge q2=q1/3 is distance 2r from Q.
Charge q1 is distance s from the negative plate of a parallel-plate capacitor.
Charge q2=q1/3 is distance 2s from the negative plate.
Generally the equation for the potential energy is mathematically given as

Therefore
The Equations of U1 and U2 is
For U1

For U2

Since
U is a function of q and q2=q1/3
Therefore

For Question 2
For U1

Therefore

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Answer:
B.) to determine that electric beams in cathode ray tubes were actually made of particles
Explanation:
This is the right answer i just took the quiz on edge.
Answer:
0.243
Explanation:
<u>Step 1: </u> Identify the given parameters
Force (f) = 5kN, length of pitch (L) = 5mm, diameter (d) = 25mm,
collar coefficient of friction = 0.06 and thread coefficient of friction = 0.09
Frictional diameter =45mm
<u>Step 2:</u> calculate the torque required to raise the load
![T_{R} = \frac{5(25)}{2} [\frac{5+\pi(0.09)(25)}{\pi(25)-0.09(5)}]+\frac{5(0.06)(45)}{2}](https://tex.z-dn.net/?f=T_%7BR%7D%20%3D%20%5Cfrac%7B5%2825%29%7D%7B2%7D%20%5B%5Cfrac%7B5%2B%5Cpi%280.09%29%2825%29%7D%7B%5Cpi%2825%29-0.09%285%29%7D%5D%2B%5Cfrac%7B5%280.06%29%2845%29%7D%7B2%7D)
= (9.66 + 6.75)N.m
= 16.41 N.m
<u>Step 3:</u> calculate the torque required to lower the load
![T_{L} = \frac{5(25)}{2} [\frac{\pi(0.09)(25) -5}{\pi(25)+0.09(5)}]+\frac{5(0.06)(45)}{2}](https://tex.z-dn.net/?f=T_%7BL%7D%20%3D%20%5Cfrac%7B5%2825%29%7D%7B2%7D%20%5B%5Cfrac%7B%5Cpi%280.09%29%2825%29%20-5%7D%7B%5Cpi%2825%29%2B0.09%285%29%7D%5D%2B%5Cfrac%7B5%280.06%29%2845%29%7D%7B2%7D)
= (1.64 + 6.75)N.m
= 8.39 N.m
Since the torque required to lower the thread is positive, the thread is self-locking.
The overall efficiency = 
= 
= 0.243
Answer: When the electric field due to one is a maximum, the electric field due to the other is also a maximum, and this relation is maintained as time passes. They alternatively reinforce and cancel each other.
Explanation:
In a wave, the phase, is an arbitrary time reference, used to locate a given point of the wave in time, within a cycle.
Two waves can travel at the same speed, or even have the same wavelength, but this is not enough to be sure that at a given point in time, both waves will be in their maximum, as it only can be determined from the phase of the waves.
So, only when the waves reach at the same point in time at the same amplitude, we can say that they arrive in phase, in a constructive interference.
Answer:
The height of the tower will be 35.714 m
Explanation:
We have given gauge pressure 
Density of water 
We have to find the height of the tower h
We know that gauge pressure is given by 


So the height of the tower will be 35.714 m