7- сынып
Сабақ тақырыбы: §57. Деформациялан денелердің потенциалдық энергиясы.
1. Оқушыларға деформацияланған денелердің потенциалдық энергиясы туралы түсінік беру .
2. Оқушыларды ғылыми ой қорытындыларын жасай білуге дағдыландыру.
3. Жауапкершілікке, тиянақтылыққа, еңбекқорлыққа тәрбиелеу.
Сабақ түрі: аралас
Сабақ әдісі: баяндау,
сұрақ-жауап
Сабаққа қажетті құралдар: компьютер,
слайдтар, видеопроектор.
Сабақ барысы:
І. Ұйымдастыру кезеңі.
ІІ. Оқушылардың үй тапсырмасын қалай меңгергендерін тексеру.
Ауырлық күші әсер ететін дененің потенциалдық энергиясының формуалсы қалай өрнектеледі?
Ауырлық күшінің жұмысы мен потенциалдық энергиясының арасында қандай байланыс бар?
Потенциалдық энергияны сипаттайтын оның қасиеттері бар?
ІІІ. Жаңа сабақ.
Деформацияланған денелерге Гук заңына сәйкес
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)
серпімділік күші әсер етеді.
Мұндағы |∆ℓ| -серіппенің абсолют ұзаруы;
к – серіппе қатаңдығы. [Н/м]
ℓ=ℓ 1 -ℓ2 А нүктесінің орын ауыстыруы
ℓ 1-серіппенің бастапқы орын ауыстыруы
ℓ2 –серіппенің соңғы ұзаруы
F1=k∙ℓ1
F2=k∙ℓ2 т.с.с
Сондықтан серпімділік күішінің жұмысын анықтау үшін оның орташа мәнін аламыз:
Сонда серпімлік күішінің істеген жұмысы мынаған тең болады:
Жақшаларды бір-біріне көбейтсек:
Деформацияланған серіппенің потенциалдық энергиясы :
Серпімділік күшінің істеген А жұмысы серіппенің потенциалдық энергиясының Еп өзгерісіне тең:
Достарыңызбен бөлісу: