matematikk.net

hey i need help with this physic problem:

Find the terminal velocity of the balloon?

this is the info i got : F=B-G+Fd
F= total force on the balloon:
G= gravity =mg
B=bouyancy force which is a constant
Fd= air resistance =D|v|v
i figured when F=G+Fd=B is when the balloon is in this position, but i dont know if what i am doing is right or wrong so
all help will be appreciated

F=B-G+Fd=0=>Fd=G-B
-Dv(v- vektor this v hasvector sign on top of it! )=mg-B

v=(mg+B)/D|v| is this right? or is it |v|=v=(mg+B)/Dv

Do you need to integrate? If you put it this way;

[tex]F(net)=F(d)+B-G[/tex]

at large velocities, F(d) = cv[sup]2[/sup]
c:constant
In addition remember terminal velocity situation;
F(net)=0, thus a = 0;

[tex]F(net)=cv^2+B-G=0[/tex]

which gives

[tex]v=\sqrt{\frac{mg-B}{c}}[/tex]

wow man ty didnt c that 1