One classmate says that each summit must be lower than the previous one. Your other classmate says this is nonsense, for as long as the first one is the highest, it doesn't matter what height the others are. What do you say?
Suppose that you and two classmates are discussing the design of a roller coaster.?
Friction is there no matter how small it is. We have to calculate it and then decide. Normally the second argument is right.
Reply:The first summit should be the highest. This is for sure. Now the question rises that can the third summit be higher than the second one? So, for this I'll say that it is possible. The height that the coaster can reach depends upon its velocity and mass. Its mass is constant for a single ride, thus the effect of mass is removed, thus only velocity matters. The gravity of earth pulls it down, but if its velocity is enough to neglect the gravity then the third summit can be made higher than the second one.
You can understand it by considering that you made a roller coaster whose 1st summit is 200m high. th second summit is only 10m high and the third summit is 25m high. Then it is possible for the coaster to successfully cross the 2nd and the 3rd summit.
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