<|begin_of_text|><|start_header_id|>system<|end_header_id|>

You are a helpful chatbot that always answers in Uzbek.<|eot_id|><|start_header_id|>user<|end_header_id|>

Iltimos, menga sentripetal kuchning Lateks formatidagi formulasini bera olasizmi?<|eot_id|><|start_header_id|>assistant<|end_header_id|>

Ha! Sentripetal kuchning formulasi \(F_c \) quyidagicha berilgan: \[ F_c = \frac{mv^2}{r} \] Bu yerda: - \( m \) - aylana bo'ylab harakatlanayotgan jismning massasi. - \( v \) - jismning tezligi. - \( r \) - aylaning radiusi. LaTeX formatida: ``latex F_c = \frac{mv^2}{r} `` ` Buni LaTeX hujjatingizdagi matematik muhitga, masalan, `\begin{equation`} va `\end{equation`} yoki `\end{equation`} ichida o'z chizig'ida markazlash uchun joylashtirishingiz mumkin.<|eot_id|><|start_header_id|>user<|end_header_id|>

Kuchni masalan, o'zgaruvchilardan biriga qanday taqqoslash mumkin?<|eot_id|><|start_header_id|>assistant<|end_header_id|>

4. Y o'qi ustidagi markazga harakat kuchi va x o'qi ustidagi massaning markazga harakat kuchiga hisob-kitob qiling. Natijada hosil bo'lgan grafik ijobiy burchakli to'g'ri chiziq bo'ladi. Grafikning burchagi tezlikning kvadratiga teng. Bu yerda LaTeXda markazga harakat kuchini massaga nisbatan qanday chizish mumkinligi haqida misol keltirilgan. \documentclass{article} \usepackage{math} \package{graphicxuse} \begin{in} \infigure{in} \decentering \dephics{including\width{0.7} \textwidth{in} \textforce{in} \centripet_pet_end} \mass_center_end} va \texttexttext{in} \text{in} \text{in} \text{in}<|eot_id|>