Brevet blanc Fusée Rover Lune

Document 1 : Article de Rémy Decourt publié le 20/06/2018 - futura-science.com
Mission Chang'e 4 : la face cachée de la Lune photographiée par la Chine

Le satellite relais Queqiao, lancé le 21 mai à destination de la Lune a rejoint son orbite à environ 500.000 kilomètres de la Terre et 65.000 kilomètres de la Lune. D'ici la fin de l'année, il servira à communiquer et relayer les données de la plate-forme d'atterrissage et du rover de la mission Chang'e 4 qui se posera sur la face cachée de la Lune.

Document 2 : Article de Rémy Decourt publié le 03/01/2019 - futura-science.com
Avec Chang'e 4, la Chine réussit le premier alunissage sur la face cachée de la Lune
La Chine vient de réussir le premier alunissage sur la face cachée de la Lune. Tôt ce matin, le rover de la mission Chang'e 4 s'est posé dans le cratère Von Kármán. Un exploit technique qui ouvre un nouveau chapitre de l'exploration robotique de la Lune, prélude aux premières missions habitées qui devraient débarquer d'ici la fin de la prochaine décennie. En attendant, en 2019, la Chine lancera un autre rover qui aura pour tâche de rapporter sur Terre deux kilogrammes de roche lunaire.

Document 3 : Le rover

Le rover est un engin autonome à six roues motrices, chacun étant entraînée par un moteur électrique. Son énergie est fournie par des panneaux photovoltaïques durant les jours Lunaires. La nuit, il utilise l’énergie contenue dans ses batteries. Le rover présente une masse de 140 kg. Haut de 1,5 mètre, il comporte un mât servant de support aux caméras de navigation ainsi qu'à l'antenne parabolique utilisée pour les communications avec la Terre. Il se déplace à une vitesse moyenne de 10km/h.

Première partie : Étude de la phase de lancement de la fusée ( /11)

1) En vous appuyant sur les documents fournis en annexe, répondre aux questions ci-dessous.
a) Comment évolue la vitesse de la fusée lors de son décollage ?

D'après le graphique, la vitesse augmente.

b) Comment qualifier la trajectoire de la fusée lors de son décollage ?

La trajectoire est une droite, elle est rectiligne.

c) Comment qualifier le mouvement de la fusée lors de son décollage ?

Le mouvement est donc rectiligne accéléré.

d) Comment évolue l’énergie cinétique de la fusée lors de son décollage ?

Comme la vitesse augmente, l'énergie cinétique augmente.

(oui, malgré le fait que la masse diminue…)

e) Comment évolue l’énergie de position de la fusée lors de son décollage ?

Comme la hauteur augmente, l'énergie de position (potentielle !) augmente

f) Quelle est la valeur de la vitesse de la fusée 10 secondes après son décollage ?

Elle est d'environ 400m/s

g) Représenter la vitesse de la fusée 10 secondes après son décollage sur la chronophotographie en annexe. Vous utiliserez l’échelle suivante : 1 cm = 100 m/s.

On fait une flèche de 400 / 100 = 4cm de long à la 5ème marque.

2) Pour sa propulsion, la fusée utilise une réaction chimique mettant en jeu du dihydrogène et du dioxygène. Lorsque ces deux molécules entrent en contact avec un flamme, il se produit une combustion explosive qui dégage de la vapeur d’eau. L’équation bilan de cette réaction est donnée ci-dessous :

dihydrogène + dioxygène → eau

2 H2 + O2 → 2 H2 O

a) Combien d’atomes d’hydrogène sont présents dans les réactifs ?

Dans chaque molécule H2 , il y a 2 atomes d'hydrogène.

Il y a 2 molécules de dihydrogène H2 donc il y a 4 atomes d'hydrogène.

b) Combien de molécules d’eau sont produites ?

2 H2 O signifie que 2 molécules d'eau se sont formées.

Deuxième partie : Étude du rover ( /6)
1) Compléter la chaîne énergétique ci-dessous représentant le fonctionnement du rover.

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?nolink&800x131}} 2) Calculer l’énergie cinétique du rover lorsqu’il se déplace à sa vitesse normale de fonctionnement. m = 140kg v = 10km/h = 10000m / 3600s = 2,8m/s environ $Ec = frac {1} {2} \times m \times v^2$ $Ec$ \\ \\ \\ \\ **__Troisième partie (au choix) : Communication avec la Terre ( /3)__ ** \\ Le rover est prévu pour être télécommandé par un opérateur humain. En vous appuyant sur l’illustration du document 1 et sachant que les communications utilisent des ondes électromagnétiques qui se déplacent à la vitesse de la lumière (c=300 000 000 m/s), calculer le temps mis par une commande d’un opérateur terrestre pour atteindre le rover. \\ \\ \\ **__Quatrième partie (au choix) : La face cachée de la Lune ( /3)__ ** \\ En vous appuyant sur vos connaissances, expliquer pourquoi la Lune présente une face cachée. \\ \\ \\ \\ **__Annexes__ ** {{:brevet:8c09c6aa6c6cd0764fd15938e7ce5578.png}}