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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...

Oh man! I know, I've been stuck on this problem for hours! I think it is lame. I'll give you a heads up if I get anything.

OH sorry! Thanks for the info; I solved part A already.

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...

ok, i got it. thank you =)

so is it MR=v_delta/v_exln?

Let me do the math really quickly and i'll show you what I got.

updated the original question.

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.

No need to feel dumb, it took me HELLA long to figure that out lol. It wasn't until my boyfriend pointed that out that I realized what it was ha ha. I always forget not to overlook the obvious things in focus on the complexity

If the car starts at height h = 60.0 m and the radius is R = 15.0 m, compute the tangential acceleration of the passengers when the car is at point C, which is at the end of a horizontal diameter. Take the free fall acceleration to be g = 9.80 m/s^2. That is my question. The Tangential...

Ok, what is the exact definition of Tangential Acceleration? I spent about an hour researching to see if I could find an formula and I found one but when I found the answer I realized it was right under my nose the whole time. *hint: You didn't post all the information in the problem. The...

Homework Statement A 2.00-kg package is released on a 53.1 ^\circ incline, 4.00 m from a long spring with force constant 120 N/m that is attached at the bottom of the incline View Figure . The coefficients of friction between the package and the incline are \mu_{s} \;=\; 0.40 and \mu_{k}...

Got it, nevermind! BUMP

Homework Statement If the car starts at height h = 60.0 m and the radius is R = 15.0 m, compute the tangential acceleration of the passengers when the car is at point C, which is at the end of a horizontal diameter. Take the free fall acceleration to be g = 9.80 m/s^2. Homework Equations...

it's late lol, soo my mind is working in funky mode. while waiting I did part a lol. Going to do part D now, but might get back to it tomorrow. tired x_x

Hey, how did you get Part A? I have managed to get the other parts except for the Tangential Acc part but I'm working on it and making sure my calculations are right. When i get it i'll tell you how I got it but can you help me with the first part?

perfect. thank you sooooo much gabee. HUGE help. it actually makes sense now too lol. thank you again.

well, if i have your blessing i'll input the answer lol.

.8142m is the answer i got for C .49/sin37 is how i got that.

i got h= .13 m i got .13m from .22sin 37 degrees What do i do from that? And yes, you know me? lol, what a small world haha.

ohh, i got .49m as the distance. But the HW is saying that's wrong. *starting to get frustrated lol*

49.39 is what I got using this calculation: U1 + K1 = U2 + K2, but since K1 and K2 = 0, U1 = U2, being that [U1] 1/2kx^2 = [U2] mgh, so; 1/2 (400n/m)(.22m)^2 = 2(9.8m/s^2)h 968. = 19.6h h = 49.39 m

(Kx^2/2) = mg(.13m) ? Using wrong reference in my notes lol.

So find the E first and that'll tell me the distance right? Should I just plug in a distance to reference when the block stops? I apologize for sounding reallllly stupid or thick-headed, I've been studying allllll day and am kind of having a brain fart. Basically, without telling me the...

HAHAHA, yah...sorry.:rofl: The first part of the question asked how fast was the block moving and I got 3.11 m/s. The second is wondering how far it went up the incline.

Homework Statement A 2.00-kg block is pushed against a spring with negligible mass and force constant k = 400 N/m, compressing it 0.220 m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with slope 37 degrees Homework...