Speed from slope conservation of energy

[diego1404]

Lets say we have three slopes
a.The first one is a straight slope going down
b.The second slop is like the first one but a little curved
c.The third one would be like a ski hill where it goes down and up and down

so first scenario is frictionless
second scenario has fricion

If a skier goes down this hill
for the first scenario what would be the ranking of the final speed of the skier
for the second scenario what would be the ranking of the final speed of the skier

im guess for the first scenario the speed would all be equal
for the second scenario it would be a>b>c

i think this is a trick question so i need help thanks!

 

[Asim Riaz]

For the first scenario, the skier's final speed would be equal for all three slopes since there is no friction in the situation. For the second scenario, the ranking of the final speed of the skier would depend on the amount of friction present on each slope. Generally speaking, the steeper the slope (e.g. the third one), the more friction will be present and the slower the skier's final speed will be. Therefore, the ranking of the final speed would be c < b < a, with c being the slowest and a being the fastest.