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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The work done when a spring is stretched from 0 to 40cm is 4J.
What is work done?
Work done is the magnitude of force multiplied by displacement of an object. It is also the amount of energy transferred to an object when work is done on that.
The work done on the spring to stretch to 40cm is,
F = kx
where F is force, k is force constant.
k = F / x = 10 N / 20 * 10^-2 m = 50 N/m
W = 0.5 * k * (x)^2
where W = work done, k = force constant.
W = 0.5 x 50 x (40 x 10^-2)^2 = 4 J.
Therefore, the work done on the spring when it is stretched to 40cm is 4J.
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Based on the options given, the most likely answer to this query is B) The temperature must be converted to Kelvin. Meaning, the temperature should be in SI unit.
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The average velocity of Alyse is 0 m/s.
<h3>What is the average velocity of an object or a person?</h3>
The average velocity of a person is the average of all the velocities of moving as it moves.
Velocity on its own is the ratio of the displacement of a body and the time taken for that displacement.
Mathematically:
- Average velocity = total displacement / time taken
Displacement is a vector quantity that measures the distance traveled by a moving body in a specific direction.
Hence, average velocity and velocity are both vector quantities.
Displacement takes a measure of the shortest possible distance along a straight line from the beginning of the motion until the end of the motion.
Calculating the average velocity of Alyse:
Assuming the initial direction is positive and n=backeard direction is negative:
Total displacement = 20 m + - (20 m)
Total displacement = 0 m
total time = 3 minutes
Average velocity = 0 m/ 3
Average velocity = 0 m/s
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These types include gamma rays, x-rays, ultraviolet, infrared, microwaves and radio waves. Together with visible light, all these types of radiation make up what we call the electromagnetic spectrum - the complete spectrum of radiation.
