exam3_soln_ch9_10_11 - _— Physics 321 Exam 3 April 1 2005...

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Unformatted text preview: _— -_ Physics 321 Exam 3 April 1, 2005 Professor E. Cheu 0 Clearly show all of your work. 0 Work that is scratched out or erased will not be counted. 0 All answers must include units where appropriate. 0 Clearly indicate your answer by putting a boat: around it. 1. Write a very short answer to the following question. (a) What advantage do multistage rockets have over single stage rockets? ”(L03 Cm ticgk- ’lle 03L& Slksk ULh/Lx HANNA /l’l\e lwlwl anl' bl- M~ss ~i-v lac acctlle-LA. (b) A rocket explodes in free space. What kinematic quantities remain constant (before and after the explosion), and which ones are different? film. 'lv-l-uA \JKZN" ‘\ ansola" Mbmwi'vn «LN. Con.)U‘\h.oQ—. “ELK, -‘-\,J1vl Lifiol‘i‘v {“0133 1‘ Abl/ cunsvvtrja 2. A loop of wire has a uniform linear mass density. It is bent into a circular arc of radius 1' as shown below. Determine the position of the center of mass. (R‘- i}; §F6AA ?‘= r‘cnfigvrsi‘é’j NuLt Sr‘x‘nBB :b 3. A very long cylindical shell has a mass density that depends upon the radial distance. p(r) = g. The inner radius of the shell is a and the outer radius is b. (a) Determine the direction and the magnitude of the gravitational field for all regions of space. Be sure to specify all assumptions that you make. (b) If the gravitational potential is zero at the origin, what is the difference between the gravitational potential at r = b and r = a? fjwfi: («T"'“-'\ 59.- L _, ., v .5! I 0d U“ Gauss! Law»; 33-423: - ‘1'“ GS?(r 3‘5” 0 w)» s QALL of G9 -3”); M3. \3\ lb cued—w}— A Cur or . . on CA3~$ at 6.8. 3 la: =7 83%: — 380M». 1 i— $2flrl! Avl: rArJSJQ — ”10 $5. cards“ r 5° ‘— 3 : 21w); __ w tr 911:3 \ 3* z—«rk ( “ ‘l-nXG r \ / A. P H 4. A rubber ball is dropped from a height ho above a concrete floor. It bounces back to a height h after hitting the floor, where h is smaller than ho. Assume that the floor is infinitely massive (i.e. it doesn’t move). (a) Determine the coefficient of restitution. “H" ‘ .‘ mcm‘ w a z~ (b) What is the fraction of kinetic energy lost in terms 0% , i— C CQ‘LJ‘S‘W o A8 = lv‘w‘ L lug u‘] v” Env‘i' V1- “.1210 C b"'> 0C U‘U‘é‘j ...
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