Mary and her younger brother Alex decide to ride the carousel at the State Fair, Mary's and Alex's angular speed M and tangential speed vM is mathematically given as
Mary's and Alex's angular speed=1.43
Tangential speed mary=3.22 m/s
Tangential speed alex =2.260m/s
<h3>What is Mary's and Alex's angular
speed M and tangential speed vM?</h3>
Generally, the equation for angular speed is mathematically given as

w = 1.61 rev/see 3.9
Centripetal acc mary = v^2/r
Centripetal acc mary = w^2r
Centripetal acc mary = w^2x 2m
Centripetal acc. of Alex = w²x L.u
Therefore

Hence
tang. speed V=Wr
tang. speed of mary = 1.61x2 = 3.22 m/s
tang. speed of Alex: 1.61X1·4 =2.260m/s
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<h3>
Answer: 104.5 cubic cm</h3>
=======================================================
Work Shown:
r = radius = 1.045 cm
h = height = 30.48 cm
pi = 3.141 approximately
V = volume of cylinder
V = pi*r^2*h
V = 3.141*(1.045)^2*30.48
V = 104.547940002
V = 104.5 cubic cm
The capacitance of the capacitor is 
Explanation:
The capacitance of a parallel-plate capacitor is given by the equation

where
k is the dielectric constant of the medium
is the vacuum permittivity
A is the area of the plates
d is the separation between the plates
For the capacitor in this problem, we have:
k = 2.1 is the dielectric constant
is the separation between the plates
(I assumed that 5.4 m is a typo, since it is not a realistic size for the side of the plate)
Therefore, the capacitance of the capacitor is

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Option (b) is correct. The certain materials can act as superconductors at a very low temperature.
Explanation:
The Superconductivity of a material is the property of the particular substance to provide no resistance to the path of the current through it. The current does not face any hindrance due to the motion of the other particles inside the conductor.
The superconductivity of a substance leads to the flow of current through the substance or the material without any hindrance. The resistance of a substance is due to the motion of the particles inside it. If all the motion occurring inside the substance are seized, there will be no resistance offered by the conductor.
Therefore, the superconductivity can be defined as the state where all the motions inside the a material are seized. This occurs at a very low temperature. The absolute zero temperature
is regarded as the temperature where there is no motion in any particle.
Thus, Option (b) is correct. The certain materials can act as superconductors at a very low temperature.
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Answer Details:
Grade: High School
Subject: Physics
Chapter: Conductivity
Keywords:
material, superconductor, motion, pressure, cold, temperature, substance, material, conditions, superconductivity.