General physics question. Please help me fast! Best answer gets medal!! - Would the work that you do in walking up your flight of stairs differ in any of the following situations?
· Running up your flight of stairs
· Climbing a wall of an identical height to your stairs
· Walking up a long ramp to a height identical to your stairs

Question

General physics question. Please help me fast! Best answer gets medal!! -  Would the work that you do in walking up your flight of stairs differ in any of the following situations?
· Running up your flight of stairs
· Climbing a wall of an identical height to your stairs
· Walking up a long ramp to a height identical to your stairs

anonymous · Answer

@allopersonwhat

anonymous · Answer

@radar

anonymous · Answer

@TuringTest ?

turingtest · Answer

Work=change in potential energy
what is the formula for gravitational potential energy?

anonymous · Answer

I forgot

anonymous · Answer

@TuringTest ?

anonymous · Answer

I don't think we've covered gravitational potential energy yet in my class

anonymous · Answer

can you guys please help me with this?

turingtest · Answer

the gravitational potential energy of an object of mass m, at a height h, in a gravitational field g, is given by
U=mgh
as I said, work is change in potential energy, so since the person starts at some height, and ends at a different one, the work is
W=U_2-U_1
which quantity is changing in the problem, m, g, or h?

anonymous · Answer

the speed at which they walk and way in which is walked

turingtest · Answer

that is neither m, g, nor h
those are the only quantities upon which potential energy depends; the way and speed at which one walks has nothing to do with it

turingtest · Answer

only one of those three is changing, which one?

anonymous · Answer

I'm not really sure maybe the g?

anonymous · Answer

@TuringTest ?

turingtest · Answer

g is the gravitational field of the earth. does that change?

anonymous · Answer

no?

anonymous · Answer

@jigglypuff314 ?

anonymous · Answer

@CGGURUMANJUNATH

jigglypuff314 · Answer

mmm
from what turningtest is trying to get at
earth's gravity remains the same
your weight hopefully remains the same every time you go up the stair case XD
and the height of the same staircase should be the same
unless it's magical or something XD
so since everything's the same, I don't think work should be any different?

anonymous · Answer

so it would be the same amount of work increasing?

anonymous · Answer

because running would require more work wouldn't it?

jigglypuff314 · Answer

mmm
I'm not in that high of a physics class..,
but I was taught that Work = Force(cos(theta))Displacement
the angle (theta) should be remaining the same
the Displacement should also be the same
but if you apply different amounts of force, you'll do more work?
mmm but even if you do "run" or use more applied force, it'll take a shorter time and so the average would still be the same as before?
I'm rambling now, but I still think they would all be the same amount of work >,<

anonymous · Answer

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vincent-lyon.fr · Answer

@jigglypuff314 If you have doubts, re-read what TuringTest wrote.

anonymous · Answer

still confused

unklerhaukus · Answer

The work done again gravity is proportional to the increase in height,

ybarrap · Answer

Work is force times distance. In this case, force is weight.

You only do work if you go up because you have no weight in the x-direction.

Power is the rate of doing work. Work is independent time. Power however is not. 

Work is measured in Joules. Power is work per unit time, measured in Joules per Second.

We often get power and work confused. Work is fixed, depending only on the force and the distance the force is applied. 

Power, however is a function of not only work, but how quickly that work is being performed.

If you run up the stairs or take a leisurely climb up a latter the same distance, then you do the same amount of work. In running you use more power than climbing at a slow place.

I hope this helps.