To solve this problem it is necessary to apply the concepts related to electromotive force or induced voltage.
By definition we know that the induced emf in the loop is equal to the negative of the change in the magnetic field, that is,


Where A is the area of the loop, B the magnetic field and t the time.
Replacing with our values we have that


Therefore the thermal energy produced is given by



The thermal energy produced in the loop is 
The reaper watches. Satan watches. We all watch. As we fade. Into oblivion.
There’s no work along the plane, while work increases as the height increases
Another example,
When you’re picking up a box... that’s work
When you are walking WITH the box, no work
Answer:
The equation says that due to variation in temperature is
delt T = .59 m/s / C = 16 C * .59 m/s = 9.44 m/s
So v = 332 m/s + 9.44 m/s = 341 m/s (to three significant figures)
If all you need is the initial speed of the cork, you can solve this using only two of your given:
2.00 m.s upward and 6.60 m.s horizontally.
If you take in consideration the movement of the cork, you know that it was both going up and forward at the same time, this means that it was moving at a diagonal direction. Now you can solve this by using the Pythagorean theorem where:

Why? Because the vertical and the horizontal motion creates a movement that is diagonal, which when put in a free-body diagram, creates a right triangle.
Going back to your problem, when applying this, the diagonal of a right triangle is the hypotenuse, so this is what you are looking for. The horizontal and vertical motion will represent the other 2 sides of the triangle.
Now let's put that into your formula:


Where: Vx is your horizontal velocity
Vy is your vertical velocity
Vi is your initial velocity
Now let's put in your given:




So your initial velocity is 6.8964 m/s or 6.90 m/s