G. Sloan--Exam 4 Physics Department Virginia Tech Blacksburg, VA 24061-0435
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The bowling ball
The nickel in the bowl
H2O
N2
Answers to multiple-choice questions
Form A Form B
Form C Form D
1. D D
B C 2. C B
A B 3. B C
D A 4. A A
D C 5. D A
D C 6. D A
B A 7. D B
C C 8. C B
C C 9. B C
C C 10. B C
B C 11. C A
D B 12. A B
A B 13. B A
D A 14. C C
C C Answers to free-form questions
The gravitron
a) v = 2 pi r / T = 12.6 m/s (Forms A,C) or 9.8 m/s (Forms B,D);
b) Your diagram should have mg down, force of friction up, and the
normal force pointing to the center of the gravitron; there should
be no force labelled "ma" or "mv2/r";
c) mu = gr/v2 = 0.19 (A,C) or 0.25 (B,D).
a) K = (7/10) mv2;
b) L = (7v2)/(10 g sin theta) = 0.78 m (Form A)
or 1.06 m (Form B).
a) K = (3/4) mv2;
b) v = (4gh/3)1/2 = 1.5 m/s (Form C) or 1.8 m/s (Form D).
a) QV = 11.3 MJ (Form A) or 9.02 MJ (Form C)
leaving 0.52 MJ (A) or 2.8 MJ (C) for the rest of the problem;
b) Tf = Ti + Qleft/n Cp =
427 K (A) or 749 K (C) (note that Cp = 4R);
c) W = Qleft - DEint = n Cp DT -
n Cv DT = 0.125 MJ (A) or 0.70 MJ (C) (Cv = 3R).
a) n = (piVi) / (RTi) = 12.15 moles (Form B)
or 15.0 moles (Form D);
b) Tf = Ti + Qleft/n Cp =
330 K (B) or 324 K (D) (Cp = 3.5 R);
c) W = Q - DEint = n Cv DT = 3.0 kJ (both forms)
(Cv = 2.5 R).
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Last modified 11 May, 2000. © Gregory C. Sloan.