Answer:
The relationship between the initial stored energy
and the stored energy after the dielectric is inserted
is:
c) 
Explanation:
A parallel plate capacitor with
that is connected to a voltage source
holds a charge of
. Then we disconnect the voltage source and keep the charge
constant . If we insert a dielectric of
between the plates while we keep the charge constant, we found that the potential decreases as:

The capacitance is modified as:

The stored energy without the dielectric is
The stored energy after the dielectric is inserted is:

If we replace in the above equation the values of V and C we get that


Finally

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Answer:
114.32195122 but Round your answer to three significant figures.) is 114
Explanation:
Just took the test
Answer:
the new gravitational force between the two masses is
of the original force (third option in the provided list)
Explanation:
Recall the expression for gravitational force :
, where
and
are the point masses, d the distance between them, and G the universal gravitational constant.
I our problem, the distant between the particles stays unchanged, and we need to know what happens with the magnitude of the force as mass A is tripled, and mass B is halved.
Initial force expression: 
Final force expression: 
Where we have recognized the expression for the initial force between the particles, and replaced it with
to make the new relation obvious.
Therefore, the new gravitational force between the two masses is
of the original force.
Answer:
0.779 mol
Explanation:
Since the gas is in a bottle, the volume of the gas is constant. Assuming the temperature remains constant as well, then the gas pressure is proportional to the number of moles:

so we can write

where
p1 = 730 mm Hg = 0.96 atm is the initial pressure
n1 = 0.650 mol is the initial number of moles
p2 = 1.15 atm is the final pressure
n2 is the final number of moles
Solving for n2,
