Homework Statement
Prove the following useful fact: the least-squares fit for a line through any set of points (x_1,y_1) ...,(x_N, y_N) always passes through the "center of gravity" (x-bar, y-bar) of the points, where the bar denotes the average of the N values concerned. [Hint: you know...
Okay, that is what I was stuck on; L. I know L is measured on the surface of the planet, like arclength, and s = rtheta. But I don't know if I can get the r from that since we don't have theta?
for the apparent weight, do we use w=Gm_Em/r^2 ?
I am having trouble with the first portion of the problem too. Do you think you could lead me in the right direction, Peach? Are you supposed to change L into some form of r, or is L = r?
I'm not quite sure what to do. Any help would be great. Thanks in advance.
Homework Statement
Compact Disc. A compact disc (CD) stores music in a coded pattern of tiny pits 10^-7 m deep. The pits are arranged in a track that spirals outward toward the rim of the disc; the inner and outer radii of this spiral are 25.0 mm and 58.0 mm, respectively. As the disc spins...
Yes, it appears that it is starting from rest. How would I go about finding the mass ratio? Also, the log equation?
How do I go about finding the mass of the rocket? (is that even the right question to ask)
It doesn't say that it has to be which i would assume it shouldn't be. All I know about the question is what you see. So to answer your question, i don't know. I was hoping someone would be able to answer that lol.
Homework Statement
A single-stage rocket is fired from rest from a deep-space platform, where gravity is negligible.
If the rocket burns its fuel in a time of 50.0 s and the relative speed of the exhaust gas is v_ex=2100 m/s, what must the mass ratio m_{0}/m be for a final speed v of 8.00 km/s...
is there possibly a different way to write the solution? I've thought about this problem ALOT and although the answer is right, i know I'm missing something stupid.