froim Kings 2006 Trial
A particle is released so that it falls vertically , under the influence of gravity, in a medium whose retardation varies as the square of the velocity. Show that the terminal velocity of the particle is given by:
V = sqrt(g/k)
i am not sure about setting up the force equation. Is it:
1. R = ma = mg - mkv^2 or
2. R = ma = mg - kv^2?
Once i know this im fine with the rest of the question, just to find v as a function of t and the terminal velocity occurs when t->infinity etc.
Thanks for any help.
A particle is released so that it falls vertically , under the influence of gravity, in a medium whose retardation varies as the square of the velocity. Show that the terminal velocity of the particle is given by:
V = sqrt(g/k)
i am not sure about setting up the force equation. Is it:
1. R = ma = mg - mkv^2 or
2. R = ma = mg - kv^2?
Once i know this im fine with the rest of the question, just to find v as a function of t and the terminal velocity occurs when t->infinity etc.
Thanks for any help.