You will also need to know something about the outdoor temperatures where the building is located. An average winter outdoor temperature is a start but not very accurate, average temperature by month would be better, heating degree days are also used, bin data is also used.
There is a lot of information related to this problem on the net just Google "Water Rocket Differential equations". This is a very common undergraduate engineering lab
Actually you know the velocity of the electron in the y-direction it is 0 m/s, therefore v=1.74*10^7i+0j m/s
and a=7.84*10^14i+1.5*10^15j, you have solved for t and you know vi and ai so you can solve for y. You are almost there.
c=Subscript[p, 1]*Subsuperscript[v, 1, 2] but work = \[Integral]p \[DifferentialD]v =\[Integral]c/v^2 \[DifferentialD]v = c \[Integral]1/v^2 \[DifferentialD]v the rest is basic calc. I believe the answer units is KJ/Kg
Homework Statement
Determine the speed with which the Earth would have to turn to rotate on its axis so that a person on the equator would weigh 3/4 as much
Homework Equations
VT=r*ω ; Vi=469 m/s is tangential velocity of earth
ƩF=M*ac=m*Vt^2/r
The Attempt at a Solution
The...
Google "Wind Power"
If you look at the velocity profile of a fluid moving across a flat horizontal plate you will see why elevation above the surface is important.
I would start by assuming a cylinder of uniform temperature and convection as being the most dominate heat transfer mechanism and see where you end up time wise. Then perhaps you look at evaporation effects from the open glass. If that doesn't get you close things get ugly.
Get 1.5 oz of ethyl alcohol, 4 oz of coke, 3 oz of ice. Mix in a glass cup. Get thermometer and watch. Record the time to get to room temperature. This process will be more accurate than trying to model the heat transfer.