prac exam 5 - PROBLEM SCORE Quev~ai PALSIC\$ 15 Vmc'ﬁce...

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Unformatted text preview: \ \ PROBLEM SCORE Quev~ai PALSIC\$ 15: Vmc'ﬁce ECQMI." 60 “v‘l’Tw/zs '~ awn/5; 260} 3: /25 TOTAL SCORE / 100 4. /24 d 99V PROBLEMS W . A mass m = 0.5‘kg is attached to a spring with a spring constant k = 8 N/m. The mass oscillates alongia horizontal frictionless surface. At time t = 0 the spring is stretched 10 cm from its equilibrium position and the mass has a velocity of + 1 m/s. a) What is the period of oscillation of the mass? b) Calculate the amplitude and phase of the oscillation of the mass. i3 c) Calculate the position and velocity of the mass at t = 0.5 s. d) What is the maximum kinetic energy of the mass? . e) If the initial displacement of the mass were doubled, do the following quantities increase, t decrease or remain the same: (i) frequency, (ii) total energy, (iii) maximum acceleration. K43 w: v; = 3152?; = 7/5 . :4 _: ﬁr“ __ “V 5, 3 5- ( r, 7r"/t0 ’ ” ,_ (L) X[t):Acoj(wf+cp) Arlx>=rhw 51b(.wX+‘€) A); = ’ALJS'HUCQ m ‘_ X9 5 A 0054 ' _, r472: : / 1"‘5 ‘ = «2.5 (Ca) TM 7 was, {warm 5, Q: ~14? ra-l K m/J. Pr= ’on"‘+(%>" c Wm =/0.2£-‘7 A1 / (0)?) X/ajs.) : (0,26?»«)r07[H[n.53—).HJ 310,135». (a) #462,555 —: ~/D.2£=7)[*))'5/; 5/N[z «mj Jailﬁlyw 44):] < {3) Km,“ : Jive-74; (H) of KM: UM lab: -‘;(Yﬂ/,..>[0.2H»b1:jDTZK‘Ia‘j? I L . """\ - (5)0» m w AM; 8737 a Mu Hai— A (W <9 W ; Vile/1‘ /) NH l Wigwam... \ 2. A non-conducting solid sphere of radius a = 0.5 m carries a uniform Charge distribution of # . p = 4.2 x10‘° C/m3 It is surrounded by a concentric conducting shell of inner radius b = 0.89 m ‘ I I {'7' {13" and outer radius c = 1.1 m. There is nothing between the sphere and the shell. The total charge 0n L’ the conducting shell is -q = —8.8 x 10‘ C. - a) What is the total charge of the non-conduction sphere? b) What is the electric ﬁeld at a radius r = 0.3 m? This is a point interior to the non-conducting sphere. c) What is the electric ﬁeld at r = 0.75m ? d) What is the electric ﬁeld at r = 0.94 m ? e) What is the electric ﬁeld at r = 1.5m ? 0 What is the total chargé on the surface 1' =- b and what is the total charge on the surface r: c? = Hi5 H03 \4 . ' . C meAu—‘i 01mm?» (9 00> §§=LM 2 =\ E. 3 LLth : ﬁgs‘lv‘uedk: RmmLLqGGT H («bi {B F: Qw E0 Ksﬁﬁ‘lxou \oCotss-sc'mu. E _, Qius‘q __ (We (:13 AWE-b 7:1 L Uﬁikb (\Sv’ - GD _ - _ gcAtxloN/C RHALVV RQUM’A ' W1 3. A thin glass rod is bent into a semicircle of radius r. A charge +q is uniformly distributed along the ﬂ) upper half and a charge of —q is uniformly distributed along the lower half, as shown in the ﬁgure " below. a) What is the electric ﬁeld at the center of the semicircle , P, produced by the upper charge +q'? ( Imagine that the lower section of the semicircle is not present) b) What is the electric field at the center of the semicircle , P, produced by the lower charge -q? ( imagine that the upper section of the semicircle is not present) c) What is the electric ﬁeld at the center of the semicircle produced by the entire semicircle? Two charges q = -2 mC are ﬁxed in Space a distance of 2.4 cm apart. as shown in the ﬁgure. What is the electrical potential at point C, assuming that the potential at inﬁnity is zero? You bring a third charge Q = 4 mC in from inﬁnity to the point C. How much work must you do? What is the total potential energy of the three charges in this conﬁguration? You now move the charge Q from position C to position D. How much work must you do? C l 2_ 3 4/2 al._ “Mo \‘L “cm (L m—m m—a {2 e D e Ce’lg \0‘3C> “<ka .02% H 2mg grilrtgim—sa] am a ﬁg Wmai : -%,§\ xw‘j 4? ...
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prac exam 5 - PROBLEM SCORE Quev~ai PALSIC\$ 15 Vmc'ﬁce...

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