Recent content by lucphysics

Thank you!

Homework Statement f(x)= (sin x)^(sin x) Homework EquationsThe Attempt at a Solution Taking logarithm on both sides I get: ln y = ln ((sin x)^(sin x))

I'm so grateful for your help, thank you!

Okay, thank you :)! Another question, for the kinetic and potential energy...should I derivate the equations too?

Instead of use r as the unknown radius, use r - △r because the statement given says: Due to air drag, the radius of a satellite’s circular orbit decreases from r to r - △r, where the positive quantity △r is much less than r. But maybe I'm wrong and the only way to demonstrate that the...

Hello, I have this problem statement : "Due to air drag, the radius of a satellite’s circular orbit decreases from r to r - △r, where the positive quantity △r is much less than r. The mass of the satellite is m. Show that the increase in orbital speed is △v = +(△r/2)[(GM/r^3)^1/2]; that the...

Ok, thank you. I think I understand it now.

So, that means that when r decreases the derivative is positive due to the velocity increasement?

Yes, I've made the derivative of v respect r, but what I get it's: v'= - (1/2)•[(GM/sqrt(GM/r^3)] I'm pretty sure I've done something wrong because that isn't the solution given in the problem statement

Homework Statement If a satellite is in a sufficiently low orbit, it will encounter air drag from the Earth's atmosphere. Since air drag does negative work (the force of air drag is directed opposite the motion), the mechanical energy will decrease. If E decreases (becomes more negative), the...