<h3><u>Answer;</u></h3>
= 4.19 Joules
<h3><u>Solution;</u></h3>
Energy stored in capacitor = U = 8.38 J
U =(1/2)CV^2
C =(eo)A/d
C*d=(eo)A=constant
C2d2=C1d1
C2=C1d1/d2
Initial separation between the plates =d1= 2.30mm .
Final separation = d2 = 1.15 mm
But; Energy=U =(1/2)q^2/C
U2C2 = U1C1
U2 =U1C1 /C2
U2 =U1d2/d1
Final energy = Uf = initial energy × d2/d1
= 8.38 ×1.15/2.30
= 4.19 Joules
Thus; The final energy = 4.19 Joules
To solve the exercise it is necessary to take into account the definition of speed as a function of distance and time, and the speed of air in the sound, as well

Where,
V= Velocity
d= distance
t = time
Re-arrange the equation to find the distance we have,
d=vt
Replacing with our values


It is understood that the sound comes and goes across the entire lake therefore, the length of the lake is half the distance found, that is



Therefore the length of the lake is 634,55m
If you shine a light straight down onto that vector, then the length of its shadow on the x-axis is
x-component = 88 · cosine(13°)
x-component = 88 · (0.9744)
<em>x-component = 85.74</em>
Answer:

Explanation:
According to Newton 2nd law of motion: F = ma where m is the mass of the moon and a is the centripetal acceleration of the gravitational force.
Also Gravitational force formula
where G is the gravitational force, ME is the mass of Earth and S is the mean distance between Earth and Moon.
As the moon is at constant circular motion around Earth, there forces balance out:



We can now substitute
and
and 

