final06 - Final(Physics 3A Name ID Discussion Section...

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Unformatted text preview: Final (Physics 3A) Name ID Discussion Section Multiple choices (5.0% each) 1. A hot air balloon rises with a constant speed of 5 m/s. When it is 30 m above the ground a rock is dropped from the balloon. How long in s does it take the rock to hit the ground? :6) 0}: SW; -30: gt-afitl 0:5 ' . eh. _ = o {1.6 472—50“ 4? SE 30 A 5:,[52—§4§4—3o)_ +340 8.7 O t: _. (Mi. 2 ’2—‘0 2.A4.0 kg mass starts from rest and is acted on byaconstant force. If the mass moves 64min4.0 s,whatisthe forceinN? {:9 Z“ L 64 2. 1. 4-:________.——— :3; AX: [fl-fJ-éaf :) 5?.fo 42, “gm/5 c. 16 @4723 F:ma;q_.:8= 31M e. 3. A 14 N horizontal force acts on an M = 4.0 kg block as shown below. The block is on a frictionless 30° incline. What is the magnitude of the resulting acceleration of the block in m/sz? 0 .L . ”Wye-WI???” " Few/7 56‘ m3 @WGWWMW Cd? (9'— ’14 7- v6 0 . F J... . .4 .35 : mash-46,2 or d. 3.2 4 1 1 _ H — . e ., [:01 (gognj day") 4. A motorcycle and rider moving along a road go over a hump of radius 12 111. What speed in m/s must they have at the top of the hump in order to appear weightless? 51.9..1 f©U ”7g, ()7: big—- .1 d:;29:8 /1T>m~——~\ thJ/fifz) ”:0 e. . (,1 P“, )4? 61.: (fa: /fi {2, '3“ 3:9.qu 7— /O'8)n/$ 5. A 12 N force parallel to a 30° incline propels a block up the incline with constant speed. If the coefficient of friction 18 0.25, what 15 the mass of the block in kg? a. 0.72 b. 0.98 F a: a . 1’1 :. 14/196630} 3'. i; ’SV ”439463 +f: Fr) ”3(M4/Wu-ISfiF h? l: jISME~ 0519/120— ziglg ,i-+DU‘X°£‘6) :17 k5 6. A 0.012 kg ball1s thrown straight up with a speed of 11 m/s. sthe magnitude of its momentum in kg m/s when it reaches half' 1ts maximum height? a 0.084 U2 H 2- 6. 7 ' m! (fin ’ W1 t I :— 7: I m ' c. 0.09s 9.... j: j 3" L3 2' ’ “i 9 t/ .1 d. 0.073 _ J. _ ‘ —: ’9’” e. 0.049 3' mu’kd“ "1T 2. 3m“) ‘9 jnm 3 UL... — gel»... = Mg m =7 sm/s Phat: WW 7. A gun that shoots corks of mass 0. 0 46 kg horizontally uses a spring of spring constant on; 9. 8 Wm. The 0.22 m long spring is compressed to 0.11 m. Its 0. 22 m long barrel exerts a constant 0. 25 N force of fi'iction on the cork when the gun is fired. What IS the cork’s speed in m/s at the muzzle of the gun? (Um —"-’- A L: a.3.5 c65 "fife-H my Amt/Z— ikx d“ 7'2 '4" 01? L. . e..7.-5 PM. ‘0 Oil]; 0 «NZSU 3} 9 8 (o~"n) J “32’; 0‘: 3-72 M/J 8. A rock 18 thrown with speed v0 at an angle of 45° and gets to a maximum height of y What is 1ts speed when it IS at height 1? 2 4 (I L— .l (f)— m 3 a.v=v0+2ay L?“ D __ 2 M + 35- ‘m I a "F //_ “K 2 c.v=vo+ay “/2. a \ U2: {Us 3‘33 d.v=fi+vo t, e v -lmv2 - 2 0 9. A 70 kg person who nms up a lO-story flight of stairs to a point 25 m above his starting point in 5.0 minutes has a power expenditure of a.29W. 4555‘? -—-—-—W -.: m 6" 3203M e.l7,100W. V 157.2. M/ 10. A 1250 kg car moving with a speed of 28.1 m/s collides head on with a 9260 kg truck moving with a speed of 22.3 m/s in the opposite direction. If they stick together, with what speed in m/s will they be moving afier the collision? ——>‘ e— g. 22.0 [3 1:] m, U}; + m; U»; '3- (M'Mk) if c. 24.1 M— . .._ d.24.7 <3... 0. . .0, , 6.2,, war a: Wwfl l 1. Two bodies, A and B, each moving at constant velocity on a frictionless horizontal surface, have equal kinetic energies. m3 = 3m A. The relation between their momenta is 1 a =-- . p3 31p" ELMAUT: iii/13%?” U; __‘/ m5 _ } bspa=fipm U; M6 “’ g ”3““ F5 m (f I #:flzfi-E3MgfiPfi‘J-fifin C-pa=3ps- PA MA U; 12. Afier starting from rest with constant angular acceleration, a wheel reaches a speed of 15.0 rad/s in 3.00 3. Its change in angular position in this time is a. 12.5 rad. ‘ b.15.0rad. 259: M.e:_91_’£i. =2LfRaol c. 17.0 rad. 2— z- @ e.25.0rad. 13. If M=6.0 kg, what is the tension in N in string 1? Free responses 1.9%) A single bead can slide on a fi-ictionless wire that is bent into a circular loop of 1 us R. The circle is always in a vertical plane and rotates steadily about its vertical diameter with an angular speed a). (a) Draw a free body diagram for the bead. (b) Find the position of the bead 6 where the bead stays motionless relative to the turning circle? J 9 \ (a) LZ, Q: '1 l’ m? (b) L 2. (12%) A block of mass m is pushed against a horizontal spring of negligible mass until the spring is compressed a distance x. The force constant of the spring is k. When it is released, the block travels along a rough horizontal surface with a fi-iction coefficient ,u by a distance d to point B, the bottom of a vertical fi'ictionless circular track of radius R. What is minimum value of x in terms of quantities provided so that the block actually reaches the top of the track? 2% f9 s/;'\ ENC“: 5?”ng {van/13d 2% x: 5M§K+2Mmjd k 3. (12%) A pendulum consists of a 0.5 kg bob attached to a string of length 2.0 m. A block of mass 1.0 kg rests on a horizontal frictionless table 2.0 m tall. The pendulum is released from rest at an angle of 53° with the vertical and the hob collides elastically with the block at the vertical position. Find ' - (a) the speeds of the hob and block right after the collision, (a) the maximum angle with the vertical the pendulum bob goes after the collision? (b) the horizontal distance the block lands away fi'om the edge of the table? F9 ._ Elmlgamy-i) L D (.455 L Uf: (1920—5539) :Ja.ef.3.acr-as El. £4.0m/5 @ykflea We oath/3m erect-0M5 [email protected]fi:fi (ka5 43‘” l mlmaerzUtz —.-. ’14.ch +mLU§jc =2) °~Sr¢°+0= O‘S-LJTH‘Wf U}; _U‘ ‘ —- —— -— ”'9 ' U“Z r-a’} '3 _ —- ———-'-—: -- : l v; 3 66019—— i 232. ‘0 L73.“ 0? ...
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