Recent content by aaj92

i just simplified it down more so that \sqrt{x^{2}+y^{2}} = c - \epsilonx because the right hand side was a perfect square and could be made into (c-\epsilonx)^{2}

Homework Statement We have proved that any Kepler orbit can be written in the form of r(\phi) = \frac{c}{1+\epsilon*cos(\phi)} where c>0 \epsilon\geq 0. for the case that 0 \leq \epsilon < 1, rewrite this equation in rectangular coordinates (x,y) and prove that the equation can be cast in...

Thanks for the help... apparently there was a really simple way of solving for it using energy E = T+U I just completely forgot about the equation :/ but thanks again :)

yeeeeah there's other equations involved... I somehow managed to solve for w using the fact that A =\sqrt{x^{2}+\frac{v^{2}}{w^{2}}} but I can't really find anything that would help me find A? any ideas?

yeah the thing is is I got 4 equations? One for each position and speed so like, x_{1} = Acos(wt-\delta) v_{1} = -Awsin(wt-\delta) and then the same thing for x_{2} and v_{2}. Do you only need the ones for x(t) then to solve for the amplitude? edit: but I do need the equations for...

Homework Statement You are told that, at the known positions x_{1} and x_{2}, an oscillating mass m has speed v_{1} and v_{2}. What are the amplitude and angular frequency of the oscillations? Homework Equations x(t) = Acos(wt - \delta) v(t) = -Awsin(wt -\delta) w =...

Thank you so much! This really helps a lot :)

I still can't get this. I'm sorry I'm just slightly frustrated with this and now it's late haha can I just get an explanation for this :/ I'm struggling in this class right now

Homework Statement This is for a physics class but at this point in the problem it's basic math... which for some reason I can just not figure out. I need to find at what time x(t) = 0 and I keep getting the negative time... I want the first positive time. Homework Equations x(t) =...

haha sorry I know it probably seems obvious but we haven't even had the virial theorem mentioned in class. So I'm not really sure how to use it? :/ but I'll try to figure it out

Homework Statement Consider an electron (charge -e and mass m) in a circular orbit of radius r around a fixed proton (charge+e). Remembering that the inward Coulomb force ( ke^{2}/r^{2}) is what gives the electron its centripetal acceleration, prove that the electron's KE is equal to...

Thank you :) i think i got it

Homework Statement A particle of mass m_{1} and speed v_{1} collides with a second particle of mass m_{2} at rest. If the collision is perfectly inelastic what fraction of the kinetic energy is lost in the collision? Comment on your answer for the casses that m1 is much much smaller than m2...

oh my god! thank you! I didn't know you could just add them together sorry my brain is just refusing to work right now but yeah I see how you can get theta now. thank you so much :)

oh... then i still don't know how to get part b. k well I'll have to figure the whole Pythagorean theorem thing out then