Hello!
Yes.
You don't think this is possible? Notice that for a particular ##z##, ##E## remains constant throughout the object. Also, what is the definition of flux?
Is it rotating in the air? Or is it kept on a surface, like, say, a table?
If it's the former, how can you neglect gravity? Please provide some more information.
Which formula is this?
What is the E.M.F induced at any time ##t##, if the angle betwee the plane of the coil, and the magnetic field is ##θ##?
For any variable, what is it's time average? ##\frac {∫x.dt} {∫dt}## You must use this formula right here, and not the one you used, for the average...
We assume negligible mass.
What does 'single coil' mean? You may want to rephrase that. But yes, as we consider a larger mass of the spring (symmetrically, about the center) as our system, a greater spring force is required to balance the said system's weight. And from the equation ##F = kx ##...
Consider this example - pushing a book kept on a table, at an angle, say, ##θ## with the vertical. You are now pushing the book against the table, ##and## parallel to the table. For simplicity, let us assume that there exists no friction between the book and the table, and friction can exist...
More appropriate wording would be - an average of 390W of power is incident per sq.m on the surface of the earth. This is what you mean, right?
And congratulations, on having solved the problem:smile: