Recent content by unam1292

Hey all, So the idea is that I'm trying to create a composite ranking system of items that are already in different categories. For example, suppose there are 4 houses that a buyer is choosing from. These 4 houses are ranked 1-4 in each of the categories such as affordability, location, and...

Sure, So here's the derivative of gamma \dot {\gamma} = \frac{d}{dt} \left( 1- \frac{v^2}{c^2} \right) ^{-1/2} = \left( \frac{-1}{2} \right) \left( \frac{-2v \dot {v} }{c^2} \right) \left( 1- \frac{v^2}{c^2} \right) ^{-3/2} = \gamma ^3 \left( \frac{v \dot {v}}{c^2} \right) hence...

ok, this is what I have \frac{dE}{dt}=mc^{2}\frac{-\gamma^{3}v}{c^{2}}\frac{dv}{dt}= F x V am I doing this correctly? when equate the equation above with F x V (where F = gamma*mass*acceleration*v) i get that -\gamma^{3}=\gamma so I get the feeling I messed up somewhere... I really appreciate...

gosh, now I'm even more stuck, thanks anyway. so you meant that I should use \frac{x}{t} instead of v? well after doing that, and taking the derivative, I can see no way for it to manipulate in F x V.

The formulas for relativistic energy don't involve time (t) as far as I can tell. I'm not sure how taking the derivative of that would help unless I'm overlooking something.

Homework Statement I'm trying to show that \frac{dE}{dT}= F x V where F is force and V is velocity Can someone please help me out? Homework Equations F=\frac{dP}{dT}=M x V x \gamma All of the other equations from special relativity (contraction, dilation, energy) are...