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A certain object of mass 3kg is dropped into a liquid and, as it falls through it, it is subject to the downward force of gravity and the upward force of drag, which is given by one fifth of its speed. Express this statement as a differential equation and solve such equation to identify the velocity function for the object.
 one year ago
 one year ago
A certain object of mass 3kg is dropped into a liquid and, as it falls through it, it is subject to the downward force of gravity and the upward force of drag, which is given by one fifth of its speed. Express this statement as a differential equation and solve such equation to identify the velocity function for the object.
 one year ago
 one year ago

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baldymcgee6Best ResponseYou've already chosen the best response.0
I should be fine to solve the linear ODE, I just don't know where to start with contructing one.
 one year ago

zepdrixBest ResponseYou've already chosen the best response.0
hmm i dunno, this one is too "physics"y for me lol
 one year ago

baldymcgee6Best ResponseYou've already chosen the best response.0
haha, who else on here does calculus?
 one year ago

zepdrixBest ResponseYou've already chosen the best response.0
Hmm I dunno. There are a bunch of smarty pants online right now though :O Zarkon, Satellite, King George ...
 one year ago

baldymcgee6Best ResponseYou've already chosen the best response.0
@satellite73, @UnkleRhaukus ?
 one year ago

baldymcgee6Best ResponseYou've already chosen the best response.0
these guys probably get so many tags that they don't even bother.. lol... the joys of a 99 smartscore.
 one year ago

baldymcgee6Best ResponseYou've already chosen the best response.0
oh goody @hartnn came online :)
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
seen such question for the first time, but still i'll give it a try... downward force of gravity =ma = mg (acceleration is due to gravity, so a=g) upward force of drag = ma = m dv/dt (v=velocity) given that mdv/dt = 1/5th of its speed = v/5 mdv/dt = v/5 in itself is a DE, donno how to incorporate mg ...
 one year ago

baldymcgee6Best ResponseYou've already chosen the best response.0
haha. Well that is a good start, I don't have any idea either of how to incorporate mg
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
if the question meant that 'both' downward and upward forces together are 1/5th of speed, then m dv/dt mg = v/5 ...
 one year ago

baldymcgee6Best ResponseYou've already chosen the best response.0
m*dv/dt = mgv/5 ???
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
or that^ i am still unsure..
 one year ago

baldymcgee6Best ResponseYou've already chosen the best response.0
no I think just the drag is v/5
 one year ago

baldymcgee6Best ResponseYou've already chosen the best response.0
hmm, I guess I will just go with one and see what I get.. :) thanks guys!
 one year ago
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