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自然科學 大學

求第二題、第七題詳解

題1 題3 題4 LT 盒汪坊 一汪江 題5 題6 Homework 3 1. 電阻值為 Ri=# 3G, R2= 60和 Ra=5Q的電阻器連接成如下圖 無呢系列的電阻器 ; 從X和 Y 兩端連接的等效電阻值為何? 2. 下圖電路中的伏特計量到的電壓為 12V ; (a)求電池的電動勢 &為何? (b)當開關 S 關閉時,安培計上的電流為何? 3. 一混合動力的新車質量為 1200 公斤, 這輛車使用 360 伏特 電池驅動電動馬達產生的最大電流為 200 安培 。當汽車以 22 公里/小時在一斜坡等速爬升 並不使用汽油馬) 達來協助 gp 找到最大的坡度 ? 4. 如圖 ,一個錐狀導體長度為 L ,左右兩側的半徑分別為3和 6 (且 2多,它的電阻率為p,將它的左右兩側分別接在電池兩 端,求此導體的電阻為何? 5.一個導體球殼內外徑分別為 3和 5,它的電阻率為p,將它的 內外徑分別接在電池兩端,求此球殼的電阻為何? 6.一平行板電容器具有面積 10 cm?的板,由 0.1mm 的玻璃絕 緣層隔開,電阻率p=1.2 x 1070O.m,介電常數k =5.6。(a) 如何以電路圖中表示這種漏電的電容 ? (b) 求出該電容器的 時間常數,該時間常數只取決於絕緣材料的特性。 7.如圖 ,一無電荷的電容 和 和一電阻 8&=5x10 人 ge=5V 串聯連接在一起。求(a)電路的時間常數? (b)電容的 電量? (o) 的還大生 (d)電 量的時間函數? (e)電流的 時間函數? A bm G@ 六 R / 1 AS Y防 自 題1 題2 題4

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自然科學 大學

第1題和第5 6 7題,有大大能幫解出計算過程嗎? 謝謝

略語上 點加圖點 Homework 1 1. 如圖,三個電荷分別在直角三角形的三個頂點 ,已知 qs=+1.0 hlC,qi的電量 為6.4 HC ,但不知電性 ,q2的電量和電性都未知 ; 電荷 q3 所受的合力在負x 軸方向。(a)考慮電荷 qm 和 q2 不同的電性 ,畫出四種受力的組合。(b)利用(a) 的結果求出電荷 q 和 q2 的電性? (c)計算出電荷 q2 的電量? (d)求出電荷 qs 所受的合力? 2. 一半徑為 R 的半圓形環上帶有均勻分佈正電荷 Q,求圓環中心的電場。 3. 如圖,兩長度 L 的棍子沿著 x軸方向放置,一根棍子在x=a/2 和x=a/2+L 之間,另一根棍子在x=-a/2-L 和 x=-a/2 的位置 ; 每一根棍子上的電量為Q 均勻分布在棍子上。。(a) 計算第二根棍子在正 x軸上所產生的電場? (b)證 明兩根棍子之間的相互作用力F=kQ7/L7*/g[(a+L) 2/(a*(a+2L))] 。 4. 如圖,一長度為 4cm 距離為 1cm 電場 E=10” N/C 的平行電板 ; 一個電子由 平行電板左邊中點以與水平夾角9=30" 射進平行電板。當電子直接射出平行 電板時,求電子速度範圍為何? 5. 一寬度為 d 的絕緣帶電厚板,它的電荷密度p= Cx ,此處 x為厚板內任一點 至厚板中心的距離,C 為一常數;厚板的y和z 方向延伸至無窮遠。試求空 間的電場(a)厚板外部 (lx| > d/2) (b) 厚板內部 (lx| < d/2)。 6. 半徑為R的無限長實心圓柱體帶有不均勻電荷密度分佈 電荷密度p =po(r/R), 給出的,其中po是常數,r 是距圓柱軸的距離。求出電場的r表達式。 7. 如圖,一個帶有均勻體積電荷密度p且半徑 2a 的非導體球,挖空球內的一個 半徑 a的小球裡的電荷 ; 證明小球內的電場 g =0和蕊=pa/(3&g09)- +lmc. 涼 / 一8一 4 2 K交 / 人 姜- ‧下co一一 六 2.L 二32 92 二32L 題1 題3 4em 生 唔 和 NC em 題4 題5

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自然科學 大學

求圈起來的幾題

補史名www asftrppfysfts 600) For Thoughtand Diseussion tneuish the Aristotelian and Galilean/Newtonian views ofihe ball bounees ofrawall with the same speedithad beforeithit Wall Has its momentum changed? Hasaforoe acted on the 2 Has aforee acted on the wall? Relate your answers to New aws of motion ten use the term "inertias to deseribe human sluggishness 5this usage related to the meaning ofFsinertiae in physics? does aceiling fan continue to rotate even after you have vitched it ofP? Wek erashes into a Stalled cear A student trying to explain the es ofthis event claims thar no forees are involved: the car Tin the way”so itgot hit Commen foot astronaut kicks a ball, hard, across aspace station balls apparent weightlessness mean he astronauts toes 下avity on Jupiters moon Io is one-fifth that on Would happen te your weight and to your mass if nIo? tis the direcetion of momentum oFamoving body? Does it Fthe body: plane aceelerates down the munway, you take your keys r poeket and suspend them by a thread. Do they hang force from the chairon you. iir? Hnot, what forees are fxerrisesaned Problems 85 $ 還2620Groeoeoeardaoeos WiA poaor Wonoeno0 Op ir oa 20。 Staring frorm rest and undergoing constan acceleratiom,a920-kg ar covers 410 min $.15 8. Find the foree on the car 21 dropping dontest, a student encatses am 83-g cgg in large Styrofoam block. fs g emn'texceed 2.0N and 計the bloek hits the g pow mueh must the Styror jompress on impaet) Note: The aceelei assoeialed with stOppi gravity while the Styrofe the ground. 22. Inatront-end collision, a 1400-kg car with shockzabsorbing bump: ems can withstand amaximum force of 75kN before damage Gccurs: Hthe maximum speed foranondamaging collision is 9.0 kmzh, by Bow much must he bumper be able to move relative to the car? section 4.4 The Force ofGravity 23。 Show that the units of aceeleration can be written as N/kg- Why doesitmake sense to give gas 9.8 N/kg when talking about imass and weight? 24. Your spaceship crashes on one of the Sun's planets, Fortunately 上 the ship's scales are intact and show that your weightis 680 N.H your mass is 58 kg, where are you? (imr: Consult AppendixEE) Your friend can barely lift a 35-kg concrete block on E: massive ablock could she lift on the Moon? 26 Acereal box says "net weight 350 grams” Whats the actual Weight ta in SLunits and (b) in ounees? 27. Youre asafety engineerforabridge spanning the U,S-Canadian border. U.S. speeifications permit a maximum load of 10 tons What load iimit should you speeify on the Canadian side. where welght is given in kilograms? 28.。 The gravitational acceleration atthe lntermational Space Stations altitude is about 91凶 oFits surface value. Whats the weightofa 64-kg astronaut atthis altitude? ection 4.5 Using Newton's SecondLaw A 50-kg parachutist deseends atasteady 40 km/h. What foree does air exert on the parachute? 30, A 960-kg motorboat accelerates away from adock at2.1 m/s Its propellerprovides a3.9-kN thrust force. What drag force does the water exert on the boat? An elevator aceelerates downward at2.4 ms. What force does the elevator's floor exertona52-kg passengery 32. At 560 metric tons, the Airbus A-380 is the World's largest air- liner Whats the upward force on an A-380 when the plane is (am flying at constant altitude and (b) aceelerating upward at 15m/s2? 33. Yourre an engineer working on Ares 1 NASAs replacement tor the space Shuttles. Performance speces call for afirst-stage TOcket Gapable ofaccelerating atotal mass 0f 600 Me vertically ftom Testt0 7700 km in 1.7 min. Youre asked to determine tbe re- quired engine thrust (force) and the foree exerted ona79-kg as- tronaut during Tiftoff. What do you Teport? 34. You step into an elevatorand itacceleratesto adownward speed gfF8.8 mAS in 2.4 5 Quantitatively compare your apparent weight during thistime with youracetual weight, 44.6 NewtonsThirdLaw ional foree does 3 5600-kg elephant exer 必 63. she jumps ofta140-emhi過台 人 rdheras she falls?

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自然科學 大學

4.59答案為什麼是a

mass, are 「 PASSAGE PROBLEMS 了 R/S BODY. Dancers experience jjmps they make. Tor example Speed7 sma- jZOnta] ) case7? he box )n foT 7 ere no an en- )1S at- 了1S and 1S Ve Up- glvVen 「graph 1 TV planet, when a dancef ]an head by 過e neck cause 負e head to $ 9g.4% of atypical personsm Janding after a Vertical Jump $ 4.0 m/s to restinatime of 0.20 S. 4,57 What 1$ the magnitude Of the average force that her neck exerts on her head during the ]anding? (3) ON; (b) 6O N; (c) 120 N: must exceed the jow down and come to Tes- The head is about as8. Video analysis ot a 65-kg dancer hows that her head decelerates from hthe force her neck exerts on her head during the ]anding, the force her head exerts On her neck 1S (3) the Sames: (b) greater; (co) smaller: (d) greater during the first half ot the land- uring the second halt of the ]anding. 4.,58 Compared Wit 9 and smaller d 4,59 While the dancer 1S in the air and holding a fixed bose what is the magnitude of the force her neck exertS On her heady (3 ON; (b) 6O N; (o]) 120 N; (0) 180 N. 4.60 The forces ona dancer can be measSsured directly When a dancer performs aJump On a force plate that measSures the 10rfce betWween her feet and the ground. A graph Of force verSus time es a Vertical jump performed on aforce plate is Shown lt es at 1S happening at 0.4 $? The dancer is (3) bendlng 0 1S acceleratling downward; (b) pushtung er legs and is almost ready to leave the ground (o in the air and at the to have just touched the 一 her jump; (d) landing and her feel Figure P4.60

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