(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

You have a pair of inclined planes such that a block that slides down one can slide up

the other without losing any energy in the transition. The inclined planes are both at an

angle θ from the horizontal, as shown in the diagram. The inclined plane on the left is

frictionless. You start the block sliding down either side from a height h. Which side do

you start the block sliding down to have it slide the greatest distance up the other side?

a) right side

b) left side

c) it doesn’t matter — it’s the same result starting from either side

d) one needs more information to answer the question

2. Relevant equations

Total work = change in kinetic energy (1/2mvf^2-1/2mvi^2)

change in mechanical energy = change in ke + change in pe

3. The attempt at a solution

I know that the answer is most likely starting from the left side, but I can't quite apply the conservation principles to show that this is the case. It slides down the entire length of the frictionless plane, whereas if you start in the plane with friction, it probably will slow down before it reaches the frictionless plane. Any help showing this would be much appreciated.

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# Homework Help: Multiple choice question involving conservation of energy on inclined planes

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