Recent content by mch

Homework Statement [/B] A low flying Earth satellite travels at about 8000m/s. For the satellite, the relativistic factor $$\gamma = \frac{1}{\sqrt{1-\beta^2}}$$ where $$\beta = \frac{v}{c}$$ is close to 1 because v<<c. Estimate by how much gamma actually deviates from 1 by expanding gamma in...

Homework Statement Homework EquationsThe Attempt at a Solution See LaTeX[/B] given that $$v^2 = v_o^2 + \frac{2}{m}\int\limits_{x_o}^x F(x) \ dx\ $$ find the speed v(t) and the position x(t) given that $$F = F_o$$ and $$v(t=0)=0$$. I tried plugging in $$F=F_o$$ for $$F(x)$$ in the above...

Thank you. I figured this out and I believe I got all the right answers. Thanks a lot for your help!

Oh okay great! So F(x) = -mα^2/(2x^2). Thank you! How silly of me. So now I need to find x(t). Do i say that F = -mα^2/(2x^2) = mx'' and solve the second order differential equation? My initial conditions are that v(x=0) = 0 and x(t = 0)=0.

I'm new to this site, so please bear with me. 1. Homework Statement A particle of mass m has speed v(x) = α/√x. Calculate the force F(x) responsible. Then, calculate the displacement x(t) of the particle. Homework Equations [/B] The equations that I believe we are supposed to use are f=ma...