From 9572ee6cc19ff5ea8b6923047edadec8235ed0a4 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=C3=81lvaro=20=40=20KASPARYAN-PC?= Date: Thu, 2 Jan 2025 21:06:03 -0300 Subject: [PATCH] vault backup: 2025-01-02 21:06:03 --- .../Movimento uniforme e uniformemente variado.md | 37 ++++++++----------- 1 file changed, 15 insertions(+), 22 deletions(-) diff --git a/Física/1. Tópicos Fundamentais/Exercícios/Cinemática/Movimento uniforme e uniformemente variado.md b/Física/1. Tópicos Fundamentais/Exercícios/Cinemática/Movimento uniforme e uniformemente variado.md index 33a2c7a..7ee3d63 100644 --- a/Física/1. Tópicos Fundamentais/Exercícios/Cinemática/Movimento uniforme e uniformemente variado.md +++ b/Física/1. Tópicos Fundamentais/Exercícios/Cinemática/Movimento uniforme e uniformemente variado.md @@ -64,26 +64,7 @@ $\LARGE v_m = 68,819751381 km/h$ $\LARGE v_{m_{ida}} = 72,4 km/h$ $\LARGE v_{m_{volta}} = 68,82 km/h$ -$\LARGE \Delta S * 2 = (v_{m_{ida}} + v_{m_{volta}}) * (t_1 + t_2)$ -$\LARGE \Delta S * 2 = 141,22km/h * (t_1 + t_2)$ -$\LARGE 141,22km/h = \dfrac{t_1 + t_2}{\Delta S * 2}$ - -$\LARGE 141,22km/h = \dfrac{\dfrac{\Delta S}{v_1 \cdot 2} + \dfrac{\Delta S}{v_2 \cdot 2}}{\Delta S * 2}$ - -$\LARGE 141,22km/h = \dfrac{\Delta S / 2 \cdot (\dfrac{1}{v_1} + \dfrac{1}{v_2})}{\Delta S * 2}$ - -$\LARGE 141,22km/h = \dfrac{\dfrac{1}{v_1} + \dfrac{1}{v_2}}{4}$ - -$\LARGE 141,22km/h = \dfrac{\dfrac{1}{v_1} + \dfrac{1}{v_2}}{4}$ - -$\LARGE 141,22km/h = \dfrac{\dfrac{v_2}{v_1 \cdot v_2} + \dfrac{v_1}{v_1 \cdot v_2}}{4}$ - -$\LARGE 141,22km/h = \dfrac{\dfrac{v_1 + v_2}{v_1 \cdot v_2}}{4}$ - -$\LARGE 141,22km/h = \dfrac{\dfrac{v_1 + v_2}{v_1 \cdot v_2}}{4}$ - --- - $\LARGE v_m = \dfrac{v_{m_{ida}} * t_{ida} + v_{m_{volta}} * t_{volta}}{t_{ida} + t_{volta}}$ $\LARGE v_m = \dfrac{2d}{t_{ida} + t_{volta}}$ @@ -97,10 +78,22 @@ $\LARGE v_m = \dfrac{2}{\dfrac{1}{v_{ida}} + \dfrac{1}{v_{volta}}}$ $\LARGE v_m = \dfrac{2}{\dfrac{1}{72,4} + \dfrac{1}{68,82}}$ -$\LARGE \dfrac{1}{v_m * 2} = \dfrac{1}{72,4} + \dfrac{1}{68,82}$ +$\LARGE \dfrac{1}{v_m} = \dfrac{\dfrac{1}{72,4} + \dfrac{1}{68,82}}{2}$ + +$\LARGE \dfrac{2}{v_m} = \dfrac{1}{72,4} + \dfrac{1}{68,82}$ + +$\LARGE \dfrac{2}{v_m} = \dfrac{68,82}{68,82 * 72,4} + \dfrac{72,4}{68,82 * 72,4}$ + +$\LARGE \dfrac{2}{v_m} = \dfrac{68,82}{4982,568} + \dfrac{72,4}{4982,568}$ + +$\LARGE \dfrac{2}{v_m} = \dfrac{141,22}{4982,568}$ + +$\LARGE \dfrac{v_m}{2} = \dfrac{4982,568}{141,22} = 35,282311287$ + +$\LARGE v_m = 35,282311287 * 2 = 70,56 km/h$ + + -$\LARGE \dfrac{1}{v_m * 2} = \dfrac{68,82}{68,82 * 72,4} + \dfrac{72,4}{68,82 * 72,4}$ -$\LARGE \dfrac{1}{v_m * 2} = \dfrac{68,82}{4982,568} + \dfrac{72,4}{4982,568}$