Mavzu №3. Masalalar yechish. Mavzular kesimida amaliyotga yo’naltirilgan va fanlararo bog’liqlikga doir masalalar yechish
Reja:
Harakatlarning mustaqillik prinsipi
Jismning vertikal harakati
Tekis o’zgaruvchan aylanma harakatda burchak tezlik va tezlanish, normal va tangensal tezlanish.
Aylanma harakat
Maxovik aylanganda gardishidagi nuqtalar tezligi
6 m/s ulardan o‘qqa 1,5 sm yaqin masofada bo‘lgan nuqtalar tezligi esa 5,5 m/s bo‘lsa, maxovikning radiusi qancha? (Javobi: 1,63 sm).
r
R
Berilgan: | Formula | Yechish |
Toppish kerak: R-? |
Topshiriq 1- mashq
Motorli qayiq daryoda manzilga yetib borish uchun 1,8 soat, qaytib kelish uchun esa 2,4 soat vaqt sarfladi. Agar sol jo‘natilsa, manzilga qancha vaqtda yetib boradi? (Javobi: 14,4 soat).
Metrodagi eskalator odamni 30 s da yuqoriga olib chiqadi. Agar odam va eskalator birgalikda harakat qilsa, 10 s da ko‘tariladi. Eskalator tinch tursa odam qancha vaqtda yuqoriga chiqadi? (Javobi: 15 s).
Jism 80 m balandlikdan erkin tushmoqda. Tushishning oxirgi sekundidagi ko‘chishni toping. Harakat davomidagi o‘rtacha tezligini aniqlang. Jismning boshlang‘ich tezligini nolga teng deb hisoblang. (Javobi: 35 m, 20 m/s).
Agar vertikal yuqoriga otilgan jism yo‘lning oxirgi 1/4 qismini 3 s da bosib o‘tgan bo‘lsa, u qancha vaqt ko‘tarilgan? Uning boshlang‘ich tezligi qanday bo‘lgan? (Javobi: 60 m/s, 6 s).
Agar boshlang‘ich tezliksiz erkin tushayotgan jism oxirgi sekundda
75 m yo‘lni o‘tgan bo‘lsa, u qanday balandlikdan tushgan? Harakatning oxiridagi tezligi nimaga teng? (Javobi: 320 m, 80 m/s).
Ikki sharcha bir nuqtadan 20 m/s boshlang‘ich tezlik bilan 1 sekund vaqt intervali bilan yuqoriga vertikal otildi. Birinchi sharcha otilgandan qancha vaqt o‘tgach, sharlar uchrashadi? (Javobi: 2,5 s).
Na’muna
1. Motorli qayiq daryoda manzilga yetib borish uchun 1,8 soat, qaytib kelish uchun esa 2,4 soat vaqt sarfladi. Agar sol jo‘natilsa, manzilga qancha vaqtda yetib boradi? (Javobi: 14,4 soat).
𝜗 𝑜 + 𝜗 𝑞 ∗1.8=𝑆 𝜗 𝑞 − 𝜗 𝑜 ∗2.4=𝑆 𝜗 0 𝑡 𝑥 =𝑆 𝜗 𝑜 + 𝜗 𝑞 ∗1.8=𝑆 𝜗 𝑞 − 𝜗 𝑜 ∗2.4=𝑆 𝜗 0 𝑡 𝑥 =𝑆 𝜗 𝑜 + 𝜗 𝑞 𝜗 𝑜 𝜗𝜗 𝜗 𝑜 𝑜𝑜 𝜗 𝑜 + 𝜗 𝑞 𝜗𝜗 𝜗 𝑞 𝑞𝑞 𝜗 𝑞 𝜗 𝑜 + 𝜗 𝑞 ∗1.8=𝑆𝑆 𝜗 𝑜 + 𝜗 𝑞 ∗1.8=𝑆 𝜗 𝑞 − 𝜗 𝑜 ∗2.4=𝑆 𝜗 0 𝑡 𝑥 =𝑆 𝜗 𝑞 − 𝜗 𝑜 𝜗 𝑞 𝜗𝜗 𝜗 𝑞 𝑞𝑞 𝜗 𝑞 − 𝜗 𝑜 𝜗𝜗 𝜗 𝑜 𝑜𝑜 𝜗 𝑜 𝜗 𝑞 − 𝜗 𝑜 ∗2.4=𝑆𝑆 𝜗 𝑜 + 𝜗 𝑞 ∗1.8=𝑆 𝜗 𝑞 − 𝜗 𝑜 ∗2.4=𝑆 𝜗 0 𝑡 𝑥 =𝑆 𝜗 0 𝜗𝜗 𝜗 0 0 𝜗 0 𝑡 𝑥 𝑡𝑡 𝑡 𝑥 𝑥𝑥 𝑡 𝑥 =𝑆𝑆 𝜗 𝑜 + 𝜗 𝑞 ∗1.8=𝑆 𝜗 𝑞 − 𝜗 𝑜 ∗2.4=𝑆 𝜗 0 𝑡 𝑥 =𝑆 𝜗 𝑜 + 𝜗 𝑞 ∗1.8=𝑆 𝜗 𝑞 − 𝜗 𝑜 ∗2.4=𝑆 𝜗 0 𝑡 𝑥 =𝑆 𝜗 𝑜 + 𝜗 𝑞 ∗1.8= 𝜗 𝑞 − 𝜗 𝑜 ∗2.4 𝜗 0 𝑡 𝑥 =𝑆 𝜗 𝑜 + 𝜗 𝑞 ∗1.8= 𝜗 𝑞 − 𝜗 𝑜 ∗2.4 𝜗 0 𝑡 𝑥 =𝑆 𝜗 𝑜 + 𝜗 𝑞 𝜗 𝑜 𝜗𝜗 𝜗 𝑜 𝑜𝑜 𝜗 𝑜 + 𝜗 𝑞 𝜗𝜗 𝜗 𝑞 𝑞𝑞 𝜗 𝑞 𝜗 𝑜 + 𝜗 𝑞 ∗1.8= 𝜗 𝑞 − 𝜗 𝑜 𝜗 𝑞 𝜗𝜗 𝜗 𝑞 𝑞𝑞 𝜗 𝑞 − 𝜗 𝑜 𝜗𝜗 𝜗 𝑜 𝑜𝑜 𝜗 𝑜 𝜗 𝑞 − 𝜗 𝑜 ∗2.4 𝜗 𝑜 + 𝜗 𝑞 ∗1.8= 𝜗 𝑞 − 𝜗 𝑜 ∗2.4 𝜗 0 𝑡 𝑥 =𝑆 𝜗 0 𝜗𝜗 𝜗 0 0 𝜗 0 𝑡 𝑥 𝑡𝑡 𝑡 𝑥 𝑥𝑥 𝑡 𝑥 =𝑆𝑆 𝜗 𝑜 + 𝜗 𝑞 ∗1.8= 𝜗 𝑞 − 𝜗 𝑜 ∗2.4 𝜗 0 𝑡 𝑥 =𝑆 𝜗 𝑜 + 𝜗 𝑞 ∗1.8= 𝜗 𝑞 − 𝜗 𝑜 ∗2.4 𝜗 0 𝑡 𝑥 =𝑆
1.8𝜗 0 +1.8 𝜗 𝑞 =2.4 𝜗 𝑞 −2.4 𝜗 0 𝜗 0 𝑡 𝑥 =𝑆 1.8𝜗 0 +1.8 𝜗 𝑞 =2.4 𝜗 𝑞 −2.4 𝜗 0 𝜗 0 𝑡 𝑥 =𝑆 1.8𝜗 0 1.8𝜗𝜗 1.8𝜗 0 0 1.8𝜗 0 +1.8 𝜗 𝑞 𝜗𝜗 𝜗 𝑞 𝑞𝑞 𝜗 𝑞 =2.4 𝜗 𝑞 𝜗𝜗 𝜗 𝑞 𝑞𝑞 𝜗 𝑞 −2.4 𝜗 0 𝜗𝜗 𝜗 0 0 𝜗 0 1.8𝜗 0 +1.8 𝜗 𝑞 =2.4 𝜗 𝑞 −2.4 𝜗 0 𝜗 0 𝑡 𝑥 =𝑆 𝜗 0 𝜗𝜗 𝜗 0 0 𝜗 0 𝑡 𝑥 𝑡𝑡 𝑡 𝑥 𝑥𝑥 𝑡 𝑥 =𝑆𝑆 1.8𝜗 0 +1.8 𝜗 𝑞 =2.4 𝜗 𝑞 −2.4 𝜗 0 𝜗 0 𝑡 𝑥 =𝑆 1.8𝜗 0 +1.8 𝜗 𝑞 =2.4 𝜗 𝑞 −2.4 𝜗 0 𝜗 0 𝑡 𝑥 =𝑆 1.4 𝜗 𝑜 =0.2 𝜗 𝑞 𝜗 0 𝑡 𝑥 =𝑆 1.4 𝜗 𝑜 =0.2 𝜗 𝑞 𝜗 0 𝑡 𝑥 =𝑆 1.4 𝜗 𝑜 𝜗𝜗 𝜗 𝑜 𝑜𝑜 𝜗 𝑜 =0.2 𝜗 𝑞 𝜗𝜗 𝜗 𝑞 𝑞𝑞 𝜗 𝑞 1.4 𝜗 𝑜 =0.2 𝜗 𝑞 𝜗 0 𝑡 𝑥 =𝑆 𝜗 0 𝜗𝜗 𝜗 0 0 𝜗 0 𝑡 𝑥 𝑡𝑡 𝑡 𝑥 𝑥𝑥 𝑡 𝑥 =𝑆𝑆 1.4 𝜗 𝑜 =0.2 𝜗 𝑞 𝜗 0 𝑡 𝑥 =𝑆 1.4 𝜗 𝑜 =0.2 𝜗 𝑞 𝜗 0 𝑡 𝑥 =𝑆
𝜗 𝑞 =7 𝜗 0 𝜗 0 𝑡 𝑥 =𝑆 𝜗 𝑞 =7 𝜗 0 𝜗 0 𝑡 𝑥 =𝑆 𝜗 𝑞 𝜗𝜗 𝜗 𝑞 𝑞𝑞 𝜗 𝑞 =7 𝜗 0 𝜗𝜗 𝜗 0 0 𝜗 0 𝜗 𝑞 =7 𝜗 0 𝜗 0 𝑡 𝑥 =𝑆 𝜗 0 𝜗𝜗 𝜗 0 0 𝜗 0 𝑡 𝑥 𝑡𝑡 𝑡 𝑥 𝑥𝑥 𝑡 𝑥 =𝑆𝑆 𝜗 𝑞 =7 𝜗 0 𝜗 0 𝑡 𝑥 =𝑆 𝜗 𝑞 =7 𝜗 0 𝜗 0 𝑡 𝑥 =𝑆 7 𝜗 0 − 𝜗 0 ∗2.4=𝑆 𝜗 0 𝑡 𝑥 =𝑆 7 𝜗 0 − 𝜗 0 ∗2.4=𝑆 𝜗 0 𝑡 𝑥 =𝑆 7 𝜗 0 − 𝜗 0 7 𝜗 0 𝜗𝜗 𝜗 0 0 𝜗 0 − 𝜗 0 𝜗𝜗 𝜗 0 0 𝜗 0 7 𝜗 0 − 𝜗 0 ∗2.4=𝑆𝑆 7 𝜗 0 − 𝜗 0 ∗2.4=𝑆 𝜗 0 𝑡 𝑥 =𝑆 𝜗 0 𝜗𝜗 𝜗 0 0 𝜗 0 𝑡 𝑥 𝑡𝑡 𝑡 𝑥 𝑥𝑥 𝑡 𝑥 =𝑆𝑆 7 𝜗 0 − 𝜗 0 ∗2.4=𝑆 𝜗 0 𝑡 𝑥 =𝑆 7 𝜗 0 − 𝜗 0 ∗2.4=𝑆 𝜗 0 𝑡 𝑥 =𝑆 6 𝜗 0 ∗2.4=𝑆 𝜗 0 𝑡 𝑥 =𝑆 6 𝜗 0 ∗2.4=𝑆 𝜗 0 𝑡 𝑥 =𝑆 6 𝜗 0 𝜗𝜗 𝜗 0 0 𝜗 0 ∗2.4=𝑆𝑆 6 𝜗 0 ∗2.4=𝑆 𝜗 0 𝑡 𝑥 =𝑆 𝜗 0 𝜗𝜗 𝜗 0 0 𝜗 0 𝑡 𝑥 𝑡𝑡 𝑡 𝑥 𝑥𝑥 𝑡 𝑥 =𝑆𝑆 6 𝜗 0 ∗2.4=𝑆 𝜗 0 𝑡 𝑥 =𝑆 6 𝜗 0 ∗2.4=𝑆 𝜗 0 𝑡 𝑥 =𝑆
6 𝜗 0 𝜗𝜗 𝜗 0 0 𝜗 0 ∗2.4= 𝜗 0 𝜗𝜗 𝜗 0 0 𝜗 0 𝑡 𝑥 𝑡𝑡 𝑡 𝑥 𝑥𝑥 𝑡 𝑥 ; 𝑡 𝑥 𝑡𝑡 𝑡 𝑥 𝑥𝑥 𝑡 𝑥 =14,4 𝑠𝑠𝑜𝑜𝑎𝑎𝑡𝑡
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С вами с 2009 года.