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Quiz4C

# Quiz4C - Quiz 401 — Last 6 digits of student ID Name...

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Unformatted text preview: Quiz 401 — Last 6 digits of student ID: Name First three letters of your 8 C: i u 'i" F o h family name 1. A 5009 mass is attached to a Spring. The mass-Spring system is resting on a horizontal frictionless tabletOp. The spring constant is 100N/m. The mass is pushed, compressing the spring 300m from the equilibrium position. Then the mass is released and the system starts oscillating. (a) Assuming that y 2 0 is located at the equilibrium position of the mass—Spring system, ﬁnd the maximum and the minimum value of PEmaSS_3pm-ng and K E . PE‘LKXQ EMZPE +KE 7-; PEN”. (b) Plot PEma55_5pm-ng, K E and Emmi (be as accurate as you can). I___ m _ u.__,_._ i... .l '3+_u‘_ : L," I; J K (c) Find the ximum II ‘- peed of the mass. 1. For the same mass-spring system as in problem 1, now assume there is friction between the mass and the surface of the tabletop. When released from its compressed state (30cm as before), the mass reaches a state in which its furthest distance from equilibrium is 260771 on the stretched side. (a) Is the mass—spring system epen or closed now? Explain brieﬂy. Open. T he mass“ sprr‘ns 5y5+tm {‘5 losfnj emrgx/ +o hurl ikwkjlw glint-Lem (b) Draw a complete energy system diagram representing the process between the two states. {w x.._ 7& Vt‘TOM/SgAKE-TOJ a X APEZ" VP”: "/5 (c) Determine the amount of energy transformed into heat when going from the initial compressed state to the stretched state. APE:‘"& 3 .- §K(X;-X;D)——‘Q You might need: a PEsprtngr—moss : %k\$2 __ ‘ ) a : an a KE 2 é—mvg Lest 6 digits ef student ID: — Neme. ‘ First three letters ef yeur \$ a let ‘l’r a n femin neme . A 20th] mess is etteehecl te e spring. The mess-spring system is resting en e herisentel frtetr'eeless tebletep. The spring eenstent is eﬂN/re. The mess is pushed. eempressing the spring Zﬂeet frem the equilibrium pesitien. Then the mess is released end the system starts eseilleting. {e} Assuming that y 2 {l is leeeted at the equilibrium pesitien ef the mess-spring system, ﬁnd the nim-rinnun end the minimum value ef PEmmgﬂmt-ng end HE. PE3'15LK'X; El-el'ﬂ (b) Plet PEm_ﬂ5ﬁ_Spﬁ-Ey: HE end Emmg (be es eeeurete es yeu een}. ,_._. ___._. _,______... _ __ "PM ' :1 J tum {e} Find the iihiC-iiihiiumoend minimum speed ef the mess. 1m Ken” : emlUrne3133>lvmsxl:l,‘JKE'-mlarl:1lagi:1Zillbi: 3.1L: /s m . "1'3 _L J Elpmlin "3 g I""Fll1‘i"II=I"4""‘~l 7"? ivy-Mel : O “1/5 . Fer the seine mess-spring system es in preblem 1: new essume there is frietien between the mess end the surfeee ef the tebletep. W'hen releesed frem its eempressed stete (Eﬂem es befere), the mess reeehes e stete in whieh its furthest distenee frem equilibrium is 18em en the stretehed side. (e) Is the nurse-spring system epen er elesed new? Esrplein brieﬂy. OPgn‘The men‘— SPrﬁei sysifm I“: \esr‘nj Beers}, ls her-ii threugh “idem. {b} Drew e eemplete energy systei'n diegrem representing the preeess between the twe stetes. —--' ‘— ‘xk h“ h ‘- . V£”0’5g,§Ke-IOJ KWQ V 36W; ’7.” APE zeal ‘ l Xyrzlﬂrﬁ " Hilarm {e} Determine the emeunt ef energy trensfermed inte heet when geing frem the initiel eempressed stete te the stretehed stete. H H) n =~ .. _ Fee might need: 01 S 0 '55. (I‘ l 3 m - _. G PEHFJ'I'i'H-ﬂ—Tn.e.ss = ‘é—IEETIL'E HE: ﬁlmy? "‘ 01 lal : .._ ...
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