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Introductory Physics Homework Help
Metal block sliding horizontally
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[QUOTE="majinsock, post: 4522532, member: 459705"] [h2]Homework Statement [/h2] A metal block of mass m slides on a horizontal surface that has been lubricated with a heavy oil so that the block suffers a viscous resistance that varies as the 3/2 power of the speed: F(v) = -cv[SUP]3/2[/SUP] If the initial speed of the block is v[SUB]o[/SUB] at x = 0, show that the block cannot travel farther than 2mv[SUB]o[/SUB][SUP]1/2[/SUP]/c[h2]Homework Equations[/h2] F = ma = m[itex]\frac{dv}{dt}[/itex] [h2]The Attempt at a Solution[/h2] So, I took m[itex]\frac{dv}{dt}[/itex] = -cv[SUP]3/2[/SUP] I rearranged it and got dv/v[SUP]3/2[/SUP]= [itex]\frac{-c}{m}[/itex]dt I've tried integrating this and I can't seem to end up with the right answer. I'm totally lost. Anyone have any ideas? EDIT: No help at all? [/QUOTE]
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Metal block sliding horizontally
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