Meh. I'm sick of searching the web for this. Maybe one of you geeks here can help me 
a) Isn't the energy of a spring mass system independent of it's mass?
For an SHM:
E = 2.(pi^2).m.r^2.f^2
(r being the amplitude and f being the frequency)
So the mass factor cancels out
because f = sqrt(k/m)/2pi
Right?
Is cuticular or stomatal transpiration more significant at night?
aha! physics!! This I can help you with.
If you're talking total energy, it's quite possible that the total energy can be dependent on mass. Only in certain cases (i.e. horizontal system, no gravity, no external forces) that mass does not matter.
KE = .5mv^2
PE (elastic) = .5kx^2
PE (gravitational) = mgh
If you know the total amplitude on a horizontal system, you don't need the mass.
If you don't know the amplitude, but you know the velocity at the equilibrium point, you need the mass.
if given an arbitrary point, you're gonna need the mass as well.
And if my AP biology serves me well from high school, the stomata open up to their fullest at nighttime specifically.
Vertical spring mass system.
The question is
A spring mass system loaded with mass M is given a 5cm amplitude and vibrates with energy 4J. If loaded with mass M/2 and given same amplitude, what energy will it vibrate with?
And the answer is given as 2J, which seems obvious until you take into account that the force on the system is given by F = -kx, mass doesn't come into play.
yeah, stomatal transpiration is much more significant at night because the plant can open the stomata without having to worry about water loss by evaporation like they do during the day
ugh... my head hurts.
Vertical spring mass system.The question is
And the answer is given as 2J, which seems obvious until you take into account that the force on the system is given by F = -kx, mass doesn't come into play.
2J is absolutely correct. The total energy at the equilibrium point was all kinetic, assuming you've chosen your equilibrium point to be your reference height for gravitational potential energy.
So, using the definition of total mechanical energy, you have E = .5mv^2
Half the mass = half the energy.
for the squared and cubed symbols, hold alt and type in 0178 or 0179 on the numpad
x²y³
For some reason i get really irritated by ^2
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