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Feb
9
accepted When driving uphill why can't I reach a velocity that I would have been able to maintain if I started with it?
Feb
9
comment Quantum dimension in topological entanglement entropy
@nervxxx - I'm happy to help and I welcome any questions
Feb
8
revised Quantum dimension in topological entanglement entropy
added 2 characters in body
Feb
8
answered Quantum dimension in topological entanglement entropy
Feb
8
comment When driving uphill why can't I reach a velocity that I would have been able to maintain if I started with it?
I understand that this can get very complicated, but a lot of times even in complicated problems there is some simple principle that catches the main effect. @yohBS describes such a principle in his answer, but I'm not completely sure it's correct. So I'm accepting his answer for now, but I'm still open to criticism on this.
Feb
8
comment When driving uphill why can't I reach a velocity that I would have been able to maintain if I started with it?
@ja72 - I said in the question that if we do a simple analysis assuming the engine outputs some fixed power $P$ then we get that the car will reach $v_h$, and what you just did is exactly the analysis I was talking about. However, I think it's wrong to assume the engine outputs a fixed power, for example the power is limited by the RPM, please have a look at the answers below.
Feb
7
comment When driving uphill why can't I reach a velocity that I would have been able to maintain if I started with it?
@ja72 - I'm not sure I would be able to reach $v_h$ eventually (in the answers below there are some possible reasons why I might not be able)
Feb
7
revised When driving uphill why can't I reach a velocity that I would have been able to maintain if I started with it?
fixed a place where "gear" was mistankingly replaced with "RPM"
Feb
7
comment When driving uphill why can't I reach a velocity that I would have been able to maintain if I started with it?
So far this seems like the best answer
Feb
7
suggested suggested edit on When driving uphill why can't I reach a velocity that I would have been able to maintain if I started with it?
Feb
7
comment When driving uphill why can't I reach a velocity that I would have been able to maintain if I started with it?
I agree, @Qmechanic added this tag.
Feb
6
comment When driving uphill why can't I reach a velocity that I would have been able to maintain if I started with it?
I don't understand. Having fixed the gear the car is in, does the power depend on anything else except the RPM? If not then what's the meaning of saying there is a maximum attainable value of the power for a given RPM?
Feb
6
comment When driving uphill why can't I reach a velocity that I would have been able to maintain if I started with it?
But the power required to maintained $v_h$ is higher than the one required for $v_l$, so if the engine outputs that power when it's going $v_l$ it already contains the additional power which is supposed to make it accelerate to $v_h$.
Feb
6
asked When driving uphill why can't I reach a velocity that I would have been able to maintain if I started with it?