Yes, the solution is right and you could indeed get it from solving the quadratic equation for ##v_{1_f}##. Another (quicker) way would be to take your second line equation
$$ m_1(v_{1_0}^2-v_{1_f}^2) = \frac{m_1^2}{m_2}(v_{1_0}-v_{1_f})^2$$
One solution is obviously ##v_{1_0}=v_{1_f}## but this...
Starting from your two equations, try to eliminate one of the two unknowns (here, which variable is not asked for in the question?) so that you can solve the resulting equation for the other unknown.
Homework Statement
Hello, I've recently encountered this double integral
$$\int_0^1 dv \int_0^1 dw \frac{(vw)^n(1-v)^m}{(1-vw)^\alpha} $$
with ## \Re(n),\Re(m) \geq 0## and ##\alpha = 1,2,3##.
Homework Equations
I use Table of Integrals, Series and Products by Gradshteyn & Ryzhik as a...
Hello everyone,
I'm a physics student from Tübingen, Germany where my 3rd year will soon start.
I haven't completely made up my mind yet but I prefer theoretical and computational to experimental work. I currently work in a theoretical Particle Physics group (Phenomenology) and I seriously...