Есеп 21.
Көлбеу бұрыштан көкжиекке жедел қозғалып келе жатқан доптың көлбеу науадағы тәуелділігін анықтау.
Материалдар мен жабдықтар: муфтасы бар штатив; ойпат; доп; өлшеу лентасы; көшірме қағаз; құлдырауы (жүкпен жіп), қағаз; түйме.
Шешімі:
Штативке жеткілікті жоғарлықта көлденең бұрыштарына науаны бекітеміз. Отвес және рулетка көмегімен sinα анықтап алуымыз мүмкін. Науаның ұзындығын өлшеу (жүрген жол) және доптың жылдамдығын есептеу арқылы жылдамдықты анықтаймыз. Ол үшін доптың ұстанымын білу жеткілікті, көшірме қағаз арқылы үстелге соққы берілген кездегі доптың ұстанымын көшіріп аламыз. Бұрыш мәніне жеткеннен кейін әрине доптың сырғанауының тәуелділігінің өзгерістері қажет етеді.
Есеп 22.
Атмосфералық қысымы және бөлме температурасында су бу қысымы белгілі болса, t= 60 °C температура кезінде судың бу қысымын анықтау.
Материалдар мен жабдықтар: ыстық суы бар ыдыс, бөлме температурасындағы суы бар ыдыс, түтік, тесілген құбыр, термометр, сызғыш.
Шешімі:
Түтікті ыстық су мен шайып, қақпағы бар контейнерге төмен қаратып қоямыз. Біраз уақыт күткеннен кейін, біз температурасы t= 60 °C кезінде қаныққан будың пайда болғаның көреміз. Содан кейін, түтікті ыстық судан алып тастау арқылы, оны бөлме температурасында контейнерге төңкеріп орналастырамыз. Біраз уақыт өткен соң бөлмеде түтіктен қаныққан бу температурасы жүреді. Содан кейін газ түтіктің ұзындығының бір бөлігін алады h1 , қалаған қысымды мына формула бойынша табуға болады:
P2 = P0 (1- (T2 / T1) (h / l)) + (T2 / T1) (h / l) P1
мұндағы P0 - атмосфералық қысым, P1 - бөлме температурасы, Т2= 333 К бу қысымы, T1 - абсолюттік бөлме температурасы, l- құбырлар ұзындығы (T1 және T2 термометр арқылы анықталады, ал h, l-ұзындығы сызғышпен өлшенеді.
Есеп 23.
Жердің магнит өрісі көкжиекке φ ≈ 65° бұрышпен бағытталған В≈4,1 105 , магниттік индукцияның орталық желісінде l = 30 см қашықтықтағы магниттік өрісін табу. Есептеулерде біз φ ≈ 60° деп болжауға болады.
Құрал-жабдықтар: магнит; 40-50 см ұзындықта сызғыш, компас.
Шешім:
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)
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)
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Сурет 54
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Сурет 55
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В0=В·сosφ (1) 54-ші суретте көрсетілгендей В0 – жердің көлденең көкжиекте орналасқаның көрсетеді.
Магнит осіне компасты «Солтүстік-Оңтүстік» бағытта арақашықтықтары l=30 см перпендикуляр болатындай етіп орналастырамыз. Бұл жағдайда, көрсеткіш α бұрышы бойында қабылданбайды. Сурет 55 сүйенсек бұл:
(2) және (1) мынадай:
(2) және (3) арасындағы биіктігі - магнит өрісінің қажетті индукциясы.
Есеп 24.
а. Төмен вольтты электр көзін 4 – 9 В пайдалану, неон шамының Uқоз кернеуін анықтау.
б. Неондық шамның кернеуінің абсолюттік қателігінің өлшемін бағалаңыз.
Жабдықтар мен материалдар: (MH-4, MH-3, MH-6 және т.б.) неон шамы; жалғағыш сымдар, тұрақты ток көзі 4-9 В (Крон, Корунд, Радуга және басқалар.) конденсаторлар 0,2-1.0 мкФ (15-20 дана).
Шешімі:
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Сурет 56
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56-ші суретте көрсетілгендей электр тізбегін құру.
Үлгіге сәйкес сол типті конденсаторлар батареясын зарядтау үшін, ток көзі және сымдардың полюстерін қосыңыз.
Сымның бос ұшын, неон шамына қосып ары қарай 1,2,3,4 нүктелеріне жалғаңыз. А және В нүктелері арасындағы потенциалдар айырмасы тұтанып кернеуге жетсе, неон шамы қысқа уақытта жанады. (Uтұт = Un)
Шамамен кернеу қуат көзін анықтау үшін Uтұт қате. Төменгі U аз, абсолютті дәлдік қате, бірақ конденсаторлар қажетті санынан артық.
Қатені айтарлықтай азайтуға болады, әрбір конденсатор көзі зарядталған емес болса, а, бастапқы номер п, анықталған 3,қалған барлық бөліктің көзі зарядталған k=т-(п-1) ары қарай конденсаторларға жалғанған. Содан кейін, осы конденсаторлардың әрбір кернеуі тең болады U/k. Енді неон лампасына жалғанған конденсаторлар п – 1, зарядталған кернеу U/k, кернеудің k абсолютті қатені азайту үшін тұтанған кернеуді өлшейтін уақыт. Бұл жағдайда бәрі k конденсаторлар бірдей көлемде болуы тиіс. Біз үшін бұл теңдеу шешеміз
Құндылықтар I3, I4, R және Rυ белгілі. Құндылықтар Е қоямыз 2) және көлемін анықтау (Rυ+r).
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