Speags
Oct12-04, 01:53 PM
so i got a block with mass=m traveling on an oiled surface. the block suffers a viscous resistance given:
F(v)= -cv^{3/2}
the initial speed of the block is v_{o} at x=0, i have to show that the block cannot travel farther than 2mv_{o}^{1/2} /c
so far i have;
ma=-cv^{3/2}
m \frac{dv}{dx} \frac{dx}{dt} = -cv^{3/2}
mvdv=-cv^{3/2} dx
dx= \frac {mvdv}{cv^{3/2}}
where should i go from here?
F(v)= -cv^{3/2}
the initial speed of the block is v_{o} at x=0, i have to show that the block cannot travel farther than 2mv_{o}^{1/2} /c
so far i have;
ma=-cv^{3/2}
m \frac{dv}{dx} \frac{dx}{dt} = -cv^{3/2}
mvdv=-cv^{3/2} dx
dx= \frac {mvdv}{cv^{3/2}}
where should i go from here?