Answer:
U_f = (U_o)/2)
Explanation:
The capacitance of a given capacitor is given by the formula;
C = ε_o•A/d
While energy stored in plates capacitor is given as; U_o = Q²/2C
Now,we are told that that all the dimensions of the capacitor plate is doubled. Thus, we now have;
C' = ε_o•4A/2d
Hence, C' = 2C
so capacitance is now doubled
Thus, the final energy stored between the plates of capacitor is given as;
U_f = Q²/2C'
From earlier, we saw that C' = 2C.
Thus;
U_f = Q²/2(2C)
U_f = Q²/4C
Rearranging, we have;
U_f = (1/2)(Q²/2C)
From earlier, U_o = Q²/2C
Hence,
U_f = (1/2)(U_o)
Or
U_f = (U_o/2)
Light coming through a window!!
Force decreases as distance increases
Susie's vertical displacement is 2.1 m
Explanation:
In order to solve this problem, we have to resolve the displacement vector along the vertical direction.
The vertical component of a vector is given by:

where
v is the magnitude of the vector
is the angle between the direction of the vector and the horizontal
Therefore, the vertical component of the displacement in this problem is given by

where
d = 3 m is the magnitude of the displacement
is the angle between the displacement and the horizontal
Substituting, we find

Learn more about vector components:
brainly.com/question/2678571
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