I was going over this same problem, could you explain how you got the .8Hz and why you used GPE for the sack to be 2mgh as opposed to the standard mgh?
Ok I did the Ratio test could you please check my work?
\frac{n}{e^n}
\frac{n+1}{e^(n+1)} * \frac{e^n}{n}
so all e's cancel except 1 giving me
\frac{n+1}{e*n} the limit of this is ∞/∞ with L'Hopitals i have
\frac{1}{e} which is less then 1 so ratio test says converges
ok i will try the ratio test for this... I am studying for a test and have already worked this problem and turned it in when I got it back graded the only comments were that it was infinity-infinity and needs L'Hospitals rule. I had originally put infinity - infinity so it diverges. The original...
Homework Statement
Ʃ n/e^n converge or diverge
Homework Equations
The Attempt at a Solution
I got this down to an improper integral using the integral test but I am weak at L'Hospitals rules and I was wondering if someone could help me out
I have
\int n/e^n from 1 to...
Homework Statement
You are asked to design a spring that will give a 1130 satellite a speed of 1.90 m/s relative to an orbiting space shuttle. Your spring is to give the satellite a maximum acceleration of 5g. The spring's mass, the recoil kinetic energy of the shuttle, and changes in...
OK I think I get it... i was probably over thinking it. So as soon as it hits the spring it it no longer has gravitational potential because it is on the spring and converting it into potential energy for the spring? Thanks for your help!
crap... what i did was also incorrect
if i taking the point where the book is dropped to the point where the spring is fully compressed i took:
x is distance spring is compressed
1.3*9.8(.7+x) = 8.918 (kinetic) + 1.3*9.8(-x)+1/2 Kx^2
12.74(.7+x) = 8.918 + -12.74x + 850x^2
8.918 + 12.74x =...
Do you mean on the second side of my equation? I choose zero to be where the book impacts the spring. So the spring compresses at that point would I have gravitational PE that is negative due to my coordinate system? Also, for the kinetic energy, do I need to change this somehow to account for...
Homework Statement
A spring of negligible mass has force constant K = 1700 n/m
A book of mass 1.30 kg is dropped from a height of .7m above the top of the spring. Find the maximum distance the spring will be compressed.
Homework Equations
PEi + KEi = PEf + KEf
PEgrav = mgy...
Rock.freak i am not sure how to get the acceleration. It starts out going -8.8 m/s, so its kinetic energy is 1/2*m*v^2 or 143.264 J. So I need to apply 143.264 J just to stop it, then the force function will move it in the positive direction. So if I integrate the force function, can I set the...