Answer:
A. 
B. 
C. 
Explanation:
The capacitance of a capacitor is its ability to store charges. For parallel-plate capacitors, this ability depends the material between the plates, the common plate area and the plate separation. The relationship is

is the capacitance,
is the common plate area,
is the plate separation and
is the permittivity of the material between the plates.
For air or free space,
is
called the permittivity of free space. In general,
where
is the relative permittivity or dielectric constant of the material between the plates. It is a factor that determines the strength of the material compared to air. In fact, for air or vacuum,
.
The energy stored in a capacitor is the average of the product of its charge and voltage.

Its charge,
, is related to its capacitance by
(this is the electrical definition of capacitance, a ratio of the charge to its voltage; the previous formula is the geometric definition). Substituting this in the formula for
,

A. Substituting for
in
,

B. When the distance is
,


C. When the distance is restored but with a dielectric material of dielectric constant,
, inserted, we have

Answer:

Explanation:
The impulse or average force in classical mechanics is the variation in the linear momentum that a physical object experiences in a closed system. It is defined by the following equation:

Where:





Asumming v1=0 and t1=0:

Answer:
the graph shows the cost of natural hazards in the us in 2011 (in billions of dollars)
Explanation:
it shows that the cost of a tornado happeniy is 30 billion dollars
and the cost of an earthquake is way lower than the one the tornado which is 0 dollar
Answer:
A) the maximum acceleration the boulder can have and still get out of the quarry
B) how long does it take to be lifted out at maximum acceleration if it started from rest
Explanation:
A)
let +y is upward. look below at the free body diagram. the mass M refers to the combined mass of the boulder and chain.
the weight of the chain is:
and maximum tension is 
total mass and weight is :


∑



B)
maximum acceleration

using 
to solve for t


Question (continuation)
(a) What is the change in electric potential energy when the dipole moment of a molecule changes its orientation with respect to E S from parallel to perpendicular?
(b) At what absolute temperature T is the average translational kinetic energy 3/2kT of a molecule equal to the change in potential energy calculated in part (a)?
Answer:
a. 9.0 * 10^-24 Joules
b. 0.44K
Explanation:
Given
Let p = dipole moment = 5.0 * 10^-30 Cm
Let E = Magnitude = 1.8 * 10^6 N/m
a.
The charge in electric potential = Final Charge - Initial Charge
Initial Charge = Potential Energy
Initial Energy = -pE cosФ where Ф = 0
So, initial Energy = - 5.0 * 10^-30 * 1.8 * 10^6
Initial Energy = -9 * 10^-24 Joules
Final Energy = 0
Charge = 0 - (-9.0 * 10^-24)
Charge = 9.0 * 10^-24 Joules
b.
Absolute Temperature
Change in Kinetic Energy = Change in Potential Energy = 9.0 * 10^-24
Change in Kinetic Energy = 3/2kT where k is Steven-Boltzmann constant = 1.38 * 10^-23
So,
9.0 * 10^-24 = 3/2 * 1.38 * 10^-23 * T
T = (9.0 * 10^-24 * 2)/(3 * 1.38 * 10^-23)
T = (18 * 10^-24)/(4.14 * 10^-23)
T = 0.44K