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Les mouvements rectilignes uniformes MRU
Matériel didactique : Craies de couleur
Objectif opérationnel : Ala fin de cours les apprenants seront en mesure de bien définir et la mécanique générale.

Rappel

Que veut dire :

Mouvement Rectiligne Uniforme

Rappel

1 Définition

Un mouvement est dit rectiligne uniforme lorsque le mobile parcourt toujours dans le même sens, des espaces  égaux en des temps égaux, sur une trajectoire rectiligne.

Motivation

C'est quoi la loi du mouvement ?

 

Motivation

1 Loi du mouvement

Loi des accélérations : dans un MRU, la vitesse est constante et dans ce cas, l’accélération est nulle.

Annonce du sujet

Qu'allons-nous étudier aujourd'hui ?

Annonce du sujet

Aujourd'hui, nous allons étudier les mouvements rectilignes uniformes soit les MRU.

a=O          m/s 2

  • Loi des vitesses : la vitesse est constante puisque, le mobile parcouru des espaces égaux, en temps égaux.

v=constante 

 m/s

  • Loi des espaces parcourus : l’espace parcouru est fonction de deux notions à savoir :
  • De la vitesse du mobile
  • Et du temps de parcours

D' où dans le MRU, l’espace varie avec la vitesse et le temps de parcourus.

 

e=v*t     [m]

expression de l’espace parcouru

Nous avons deux cas à examiner :

er cas : pas d’espace initial (Mo confondu avec le point O (origine).

Qu'est-ce que l'intervalle O et T ?

L’espace parcouru par le mobile M pendant l’intervalle de temps (o, t) est  Mo Mt.

Donc e=Mo-Mt=v.t

e=v.t

Que vaut E O si le mouvement n'a pas commencé ?

èime  cas : avec espace initial e o ≠0 (Mo non confondu avec point 0)

L’espace parcouru par le mobile M pendant l’intervalle de temps (o,t) est

M o Mt=v.t

Mais ici la distance par rapport à l’origine o est, après t seconde vaut :

o Mt=o Mo+Mo Mt

puis que : o Mt=e

o Mo=e o

Mo Mt=v.t

Donc e=o Mo+Mo Mt 

e= e o + v.t

Exemple :

  1. Un ascenseur monte 12 étages de 3 m en 1 min 10 s

Calculez la vitesse d’ascension ?

  1. Un coup de tonnerre est perçu 22 s après l’éclair. Sachant que son parcourt 340 m/s. calculez à quelle distance est tombé l’éclair.
  2. Un piéton marche pendant 42 min à une vitesse constante de 3,6 km/h. sachant qu’avant d’être chronométré il a déjà effectué 1,5 km. Calculez la distance totale parcourue.

Données 1.

t= 12*3=36 m

e= 60+20 =80 S                  Inconnu V= ?

Formule 

e= v*t donc v=e/t= 36/80=0,45 ms

Données 2.

e= 22 v= 840 ms               inconnu   e=?

Formule et calcule e= v.t=340 m/s*22 s=340 m*22=7480 m

Données 3.

t= 42'=2520        v= 3,6 km/h=1 m/s

inconnu et calcule e=? donc, e= e o+v t=1500+1.2520=1500+2520=4020 m

 

 

 

 

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