-- when you cool them, their electrical resistance decreases. -- If you make them even colder, their resistance decreases more. -- If you make them even colder, their resistance decreases more. -- If you make them even colder, their resistance decreases more.
-- If you keep making them colder, their resistance keeps decreasing, but it never completely disappears, no matter how cold you make them.
But with a few surprising substances, called 'superconductors' . . .
-- when you cool them, their electrical resistance decreases. -- If you make them even colder, their resistance decreases more. -- If you make them even colder, their resistance decreases more. -- If you make them even colder, their resistance decreases more.
-- If you keep making them colder, then suddenly, at some magic temperature, their resistance COMPLETELY disappears. It doesn't just become small, and it doesn't just become too small to measure. It becomes literally totally and absolutely ZERO.
If you start a current flowing in a superconducting wire, for example, you can connect the ends of the wire together, and the current keeps flowing around and around in it, for months or years. As long as you keep the loop cold enough, the current never decreases, because the superconducting wire has totally ZERO resistance.
Did somebody say "What's this good for ? What can you do with it ?"
1). Every CT-scan machine and every MRI machine needs many powerful magnets to do its thing. They are all electromagnets, with coils of superconducting wire, enclosed in containers full of liquid helium. Yes, it's complicated and expensive. But it turns out to be simpler and cheaper than using regular electromagnets, with coils of regular plain old copper wire, AND the big power supplies that would be needed to keep them going.
2). Resistance in wire means that when current flows through it, energy is lost. The long cables from the power-generating station to your house have resistance, so energy is lost on the way from the generating station to your house. That lost energy is energy that the electric company can't sell, because they can't deliver it to customers.
There are plans to build superconducting cables to carry electric power from the producers to the customers. The cables will be hollow pipes, with liquid helium or liquid hydrogen inside to keep them cold, and something on the outside to insulate them from the warmth outside. Yes, they'll be complicated and expensive. But they'll have ZERO resistance, so NO energy will be lost on its way from the generating stations to the customers. The power companies think they can build superconducting 'transmission lines' that will cost less than the energy that's being lost now, with regular cables.
For rectilinear motions, derived formulas all based on Newton's laws of motion are formulated. The equation for acceleration is
a = (v2-v1)/t, where v2 and v1 is the final and initial velocity of the rocket. We know that at the end of 1.41 s, the rocket comes to a stop. So, v2=0. Then, we can determine v1.
-52.7 = (0-v1)/1.41 v1 = 74.31 m/s
We can use v1 for the formula of the maximum height attained by an object thrown upwards:
Hmax = v1^2/2g = (74.31^2)/(2*9.81) = 281.42 m
The maximum height attained by the model rocket is 281.42 m.
For the amount of time for the whole flight of the model rocket, there are 3 sections to this: time at constant acceleration, time when it lost fuel and reached its maximum height and the time for the free fall.
Time at constant acceleration is given to be 1.41 s. Time when it lost fuel covers the difference of the maximum height and the distance travelled at constant acceleration.
2ax=v2^2-v1^2 2(-52.7)(x) = 0^2-74.31^2 x =52.4 m (distance it covered at constant acceleration) Then. when it travels upwards only by a force of gravity, d = v1(t) + 1/2*a*t^2 281.42-52.386 = (0)^2+1/2*(9.81)(t^2) t = 6.83 s (time when it lost fuel and reached its maximum height)
Lastly, for free falling objects, the equation is t = √2y/g = √2(281.42)/9.81 = 7.57 s
Therefore, the total time= 1.41+6.83+7.57 = 15.81 s