To solve this problem it is necessary to apply the concepts related to angular resolution, for which it is necessary that the angle is

Where
d = Diameter of the eye
n = Index of refraction
D = Distance between head lights
= Wavelength
Replacing with our values we have that


Using the proportion of the arc length we have to

Where L is the maximum distance, therefore


Therefore the maximum distance from the observer that the two headlights can be distinguished is 12.77km
Explanation:
0.566kg *(1mol/0.197 kg)= 2.87 mol gold
note how the units cancel out, if the units do not cancel out (kg/kg=1) then u did something wrong
Explanation:
If you want to get speed, u have to divided distance over time
The lowest speed will lose
Answer:
a) t1 = v0/a0
b) t2 = v0/a0
c) v0^2/a0
Explanation:
A)
How much time does it take for the car to come to a full stop? Express your answer in terms of v0 and a0
Vf = 0
Vf = v0 - a0*t
0 = v0 - a0*t
a0*t = v0
t1 = v0/a0
B)
How much time does it take for the car to accelerate from the full stop to its original cruising speed? Express your answer in terms of v0 and a0.
at this point
U = 0
v0 = u + a0*t
v0 = 0 + a0*t
v0 = a0*t
t2 = v0/a0
C)
The train does not stop at the stoplight. How far behind the train is the car when the car reaches its original speed v0 again? Express the separation distance in terms of v0 and a0 . Your answer should be positive.
t1 = t2 = t
Distance covered by the train = v0 (2t) = 2v0t
and we know t = v0/a0
so distanced covered = 2v0 (v0/a0) = (2v0^2)/a0
now distance covered by car before coming to full stop
Vf2 = v0^2- 2a0s1
2a0s1 = v0^2
s1 = v0^2 / 2a0
After the full stop;
V0^2 = 2a0s2
s2 = v0^2/2a0
Snet = 2v0^2 /2a0 = v0^2/a0
Now the separation between train and car
= (2v0^2)/a0 - v0^2/a0
= v0^2/a0
Answer:
The mass is 
Explanation:
From the question we are told that
The speed of the charge is 
The magnetic field is 
The radius is 
The value of the charge is 
The centripetal acting on the charge moving in the circular orbit is mathematically represented as

Now this centripetal force is due to the force exerted on the charge by the magnetic field on the charge which is mathematically represented as

At the maximum of this magnetic force 
So


Now given that it is this magnetic force that is causing the circular motion we have that

=> 
=> 
substituting values

