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i'm currently on a plane, which makes this the mile high thread
you can only post in here if you are miles above the ground, could be literal, metaphorical, i'm not the mile high cop so let's use the honor system mmkay
Calculate your potential energy, assuming the gravity to be 9.8m/s^2 and the mass being the entire plane and all held within. Along with this, calculate this using exact height above sea level, measured in kilometers.
the normal formula for gravitational potential energy uses SI units: joules, kilograms, meters per second^2, meters
by plugging in km/s^2 your made your answer a factor of 3 too small, and by plugging in km you made it another factor of 3 too small
your final answer is off by a factor of 6 because of this.
the correct answer
Ep = 70535kg * 9.8m/s^2 * 3048m = 2,108,338,352J ≈ 2.107 * 10^9 joules
your equation is in a way valid, but if you analyze the units you'll notice that the equation actually gives you a result in MJ not J. if you changed J to MJ in your answer it would actually be correct. i'm gonna assume that you didn't intend to use a non standard formula though.
i'll give you 1 mark for using a formula that was kind of correct, 1 mark for good calculation, and 1 mark for an answer that was numerically correct but off by a large factor of 10. you also get 1 mark for doing it in the air, because a) that's epic and b) it's hard to do work when your neighbor is hogging your armrest
this puts you at 4/7 marks for the question. fortunately some smogoff class underachievers did bad and your scores gets curved up to a 6.3/7. congrats, you get an A-
the normal formula for gravitational potential energy uses SI units: joules, kilograms, meters per second^2, meters
by plugging in km/s^2 your made your answer a factor of 3 too small, and by plugging in km you made it another factor of 3 too small
your final answer is off by a factor of 6 because of this.
the correct answer
Ep = 70535kg * 9.8m/s^2 * 3048m = 2,108,338,352J ≈ 2.107 * 10^9 joules
your equation is in a way valid, but if you analyze the units you'll notice that the equation actually gives you a result in MJ not J. if you changed J to MJ in your answer it would actually be correct. i'm gonna assume that you didn't intend to use a non standard formula though.
i'll give you 1 mark for using a formula that was kind of correct, 1 mark for good calculation, and 1 mark for an answer that was numerically correct but off by a large factor of 10. you also get 1 mark for doing it in the air, because a) that's epic and b) it's hard to do work when your neighbor is hogging your armrest
this puts you at 4/7 marks for the question. fortunately some smogoff class underachievers did bad and your scores gets curved up to a 6.3/7. congrats, you get an A-
mega joules!!!! uhh almost half off because i was only wrong by a factor of 10 is pretty bs, CLEARLY i showed some cognizance regarding proper units but my main error was just not putting the 10,000ft into meters because i was foolishly focused on the question asking for it in kms... which made me convert the gravity term unnecessarily... huffah
when I lie on my bed I am, strictly speaking, in a higher place than most people at the same place above sea level as me. the point of where I lie on the bed is some way off the ground from where I put my feet. so technically, I am situated in the mile-high club when I'm on my bed
I am currently 10 floors above ground, standing on my balcony. On my right I see the city. On my left I see my cat behind the door wondering what the heck I am doing on my balcony at this hour.
I am currently 10 floors above ground, standing on my balcony. On my right I see the city. On my left I see my cat behind the door wondering what the heck I am doing on my balcony at this hour.