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GOLIGHTLY.F03.MT2.2 - Physics 8A Fall 2003 Midterm...

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Unformatted text preview: Physics 8A _ Fall 2003 Midterm 2 (Section 2) 1. (10 pts) An object of mass m :is attached to a string of fin ; length L. The string is initially horizontal. The mass T is released from rest and is allowed to swing downward to the vertical position, where it collides with another object of mass 2m, which is initially at rest. After the collision, the first object is at rest. Find the speed of the second object after the collision. _______,__E3 Express your answer in terms of m, g, and L (although you may not have all three of these quantities in your answer). 2. (15 pts) A pulley with a radius of 0.50 m has a cord wrapped around it with a 2.0 kg block hanging from it, as shown. The block is initially at rest, and then drops a distance of 3.0 m over a time interval of 1.5 5. Find (a) the acceleration of the block, (b) the tension in the cord, and (c) the moment of inertia of the pulley. 3. (15 pts) Suppose we have a Venturi tube carrying water, as shown. At the left end, the pipe has a diameter of 1.5 cm, and the water is entering with a volume flow rate of 6.0 x 10 4 m3/s (a) What 1: the pressure difference between the left and right sections of the pipe? (b) What is the diameter of the right section of the pipe? Note: The density of water is LOO x 103 kg/m3. 3.9"“ 4. (10 pts) Suppose a 0.20 kg mass is attached to a spring, and is undergoing simple harmonic motion given by x(t)- — (3. 0 m) cos [(8. 2 rad/s)t — 1.2 rad]. Find (a) the spring constant, (b) the period of the motion, (c) the total mechanical energy of the mass- -spring system, and (d) the velocity of the object at t 1.0 s. Fc(( 1003 My,“ cm foLurr/owx “Po MHQTE‘Km L J‘f'c'h‘un 2_ (, K¢th- oufiymx £7th .‘1 (anhyM. ke-w: : My <4 VLLM V0 2 [rep/(a4 ”(II M Jun/“f éc'AW": QI'I'J.UV\. Jo Px>fic MA/U 4 VVHVL; ‘ M/Vr; " ”va‘} MVD + O '3 0 +2"“sz /&;L_ r .. ‘ 1L7 Vu ivr if? 7' Z .0.th u 14 Lo“/J\ 6c “AV Am (furlwm (w .3)(0,w)l /, 29 k Jaml T: a '2 __________,,——- 1‘67 37. («14+ gum,» 04 “(A NAM 44,) P} {7f + (’5 L‘ f5 PVVL: (lg/4. *pJL,)“(l0/4_4’[)JL'L) T/chll,“l‘z.) ‘~ (Lauo’hfii) (are) “- (1900 Pa (5] Mel/21 W.(o(s‘5 a"! K‘L‘JLJ— J-c¢+-‘0'Vx JV Jfilvtw Uh ”crnwll: (fud‘wx W0 O (Imimlwfl, 2 fl+'%fi%‘+p% 3%. = ’L‘fi‘:\/}Vf\ BM+Maéux‘4 k’ww \/,. Uf-£ IZZ/AVl v = 12' 1 ’2 ~— _6_.__/_" ' ’4» J. 370(7- ,L rr(0,0/5~)‘ V l V '2 3, V0 1% Janka!“ “Mm: n ¢ a‘éLo‘zo‘hJ/mcvlka vow/W v); (4,6 “/r R ‘ szm 1 é'L-TVGIVI 6 09-10- ‘ £W64LL(L’C6) C’I'Q) (,J ‘2 (Fl fax/l k we?“ k cvmwl’: (0110'451CJW'L Fad/J)L 1 [1V ,U/m ’3 —- (0‘52 WL/J)(j 0”.)th [( h'z ”MOM/.01) —~/,Zr¢.1] 7 ”162 “D ...
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