Answer:
Part a)
Average EMF for half cycle is

Part b)
For one complete cycle we will have

Part c)
Maximum induced EMF will be at
t = 0.025 s and 0.075 s
minimum induced EMF is at
t = 0.05s and 0.1 s
Explanation:
As we know that magnetic field is oscillating in direction as well as magnitude
so induced EMF is given as

Part a)
For average value of EMF from positive maximum to negative maximum which is equal to half cycle
so we have




Part b)
For one complete cycle we will have


Part c)
Maximum induced EMF will be at

here we know

t = 0.025 s and 0.075 s
minimum induced EMF is at

so it is
t = 0.05s and 0.1 s
Answer:

Explanation:
The normal force exerted on the car by the walls of the cylinder at the bottom of the vertical circle will be such that when substracted to the weight it must give the centripetal force, since at that point on the vertical 
We also know that the equation for the centripetal force is:

Mixing both equations we get:


Which for our values means:

E. Galaxy Cluster
Explanation:
A galaxy cluster, or cluster of galaxies, is a structure that consists of anywhere from hundreds to thousands of galaxies that are bound together by mutual gravity.
A megaparsec is a million parsecs and there are about 3.3 light years in a mega-parsec. Parsec is rather a natural distance unit for astronomers. The standard abbreviation of a mega-parsec is Mpc.
A parsec is approximately 3.09 x 1016 meters, a megaparsec is about 3.09 x 1022 meters.
Hence, 8 megaparsecs is gigantic size and that can be only of a galaxy cluster consisting of hundreds and thousands of galaxies bounded together.
Keywords: galaxies, parsec, megaparsec, galaxy cluster
Learn more about galaxy clusters and astronomical units from:
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