10.56 0 Td 261.12 0 Td ID 8.33333 0 0 8.33333 0 0 cm BT [(a)18.0749(v)21.7588(e)-1.33286(c)-326.548(l)0.671944(a)-355.32(r)-5.91443(e)-1.33286(l)0.671944(a)-6.01515(t)3.3531(i)0.671944(o)-6.01515(n)-335.912(d)1.3483(e)-350.639(C)-0.657241(h)1.3483(a)-6.01515(s)-3.1377(l)0.671944(e)-1.3336(s)-3.1377(,)-336.588(e)-1.3336(n)-360.002(e)-1.3336(s)-3.1377(s)-3.1377(a)18.0749(y)21.758(a)-6.01515(n)25.4383(t)-309.818(d)1.34683(e)-362.682(f)4.35514(a)-6.01368(i)0.673414(r)-5.91369(e)-338.592(a)-6.01368(p)1.34683(p)1.34683(a)-6.01368(r)-5.91369(a)-6.01368(�)0.673414(t)3.35237(r)-5.91369(e)]TJ /R48 9.96264 Tf q 8.28 0 Td 1 0 0 1 98.4 58.92 Tm [()-5.89017]TJ /IM true /R48 9.96264 Tf [(T)-0.69988]TJ 6.6 1.44 Td /BPC 1 [(T)6.26364]TJ [(,)-312.497(e)-1.33213(n)-311.823(p)-22.7432(o)-6.01368(r)-5.91369(t)3.35237(a)-6.01368(n)25.4368(t)-297.773(p)1.34683(a)-6.01368(r)-5.91369(t)3.35237(i)0.673414(c)-1.33213(u)1.34683(l)0.673414(i)0.673414(�)-1.33213(r)-5.91369(e)-1.33213(-)-4.01108]TJ /BPC 1 /R21 9.96264 Tf 24 0 obj /R48 9.96264 Tf 5.52 14.04 Td [(T)6.26364]TJ [(3)1.16367]TJ /R21 9.96264 Tf /R48 9.96264 Tf x�]O1� �y? ID [(+)-5.92546]TJ /R48 9.96264 Tf /R10 8.96638 Tf [(o)-6.01368(u)1.34683(v)21.758(e)-1.33213(m)2.02318(e)-1.33213(n)25.4368(t)-345.953(c)-1.33213(i)0.673414(r)-5.91369(c)-1.33213(u)1.34683(l)0.673414(a)-6.01368(i)0.673414(r)-5.91369(e)-1.33213(. Le satellite parcourt l’orbite de transfert jusqu’à son apogée qui coïncide avec un point de l’orbite géostationnaire. /R21 9.96264 Tf /R19 9.96264 Tf ET [(R)1.25567]TJ 34 0 obj /H 1 /BPC 1 Q [(=)-282.96(0)-5.89017]TJ 0 0 1 rg [(h)-2.1614]TJ 8.33333 0 0 8.33333 0 0 cm BT [()-0.755753]TJ 6.6 0 Td [(\()2.56133(R)1.25567]TJ [(u)1.34683(r)-5.91369(r)-5.91369(a)-367.364(p)1.34683(l)0.673414(u)1.34683(s)-376.533(�)-1.33213(t)3.35237(r)-5.91369(e)-374.727(a)-6.01368(s)-3.1377(s)-3.1377(u)1.34683(-)-4.01108]TJ endobj ET q 1173 0 0 -4 1374.9 3337.9 cm [(t)-285.728(e)-1.33213(s)-3.1377(t)-297.773(l)0.673414(u)1.34683(i)-312.497(a)-6.01368(u)1.34683(s)-3.1377(s)-3.1377(i)-288.407(n)25.4368(u)1.34683(l)0.673414(. ID 8.33333 0 0 8.33333 0 0 cm BT [(g)-6.01515(a)-6.01515(l)0.671944(i)0.671944(l)0.671944(�)-1.33286(e)-1.33286(n)-287.732(e)-1.3336(t)-285.728(c)-1.3336(o)-6.01515(n)1.3483(s)-3.1377(t)3.35237(i)0.671944(t)3.35237(u)1.3483(e)-302.459(u)1.3483(n)-287.732(b)-22.7417(o)-6.01515(n)-299.777(r)-5.91517(a)-6.01515(p)1.3483(p)-22.7417(e)-1.3336(l)-288.408(s)-3.1377(u)1.34683(r)-294.994(l)0.673414(e)-1.33213(s)-292.218(f)4.35514(o)-6.01368(r)-5.91369(c)-1.33213(e)-1.33213(s)-280.173(d)1.34683(')0.673414(i)0.673414(n)1.34683(e)-1.33213(r)-5.91369(t)3.35237(i)0.673414(e)]TJ 5.76 -1.44 Td [(T)6.26364]TJ q q 4 0 0 -104 530.9 1833.9 cm /R50 6.97385 Tf /W 1 [(s)-3.1377(a)-6.01515(n)1.3483(s)-328.353(o)-6.01515(u)1.3483(b)1.3483(l)0.671944(i)0.671944(e)-1.33286(r)-331.129(l)0.671944(a)-331.23(f)4.35514(o)-6.01515(r)-5.91517(c)-1.3336(e)-326.549(g)-6.01515(r)-5.91517(a)18.0749(v)-2.33195(i)0.671944(t)3.35237(a)-6.01515(t)3.35237(i)0.671944(o)-6.01515(n)1.3483(n)1.3483(e)-1.3336(l)0.671944(l)0.671944(e)-1.3336(. /R48 9.96264 Tf 266.52 0 Td [(s)-3.1377(u)1.3483(b)1.3483(s)-3.1377(t)3.3531(i)0.671944(t)3.3531(u)1.3483(a)-6.01515(n)25.4383(t)-333.907(d)1.3483(a)-6.01515(n)1.3483(s)-328.353(l)0.671944(a)-343.275(p)1.3483(r)-5.91517(e)-1.3336(m)2.02465(i)0.671944(�)-1.3336(r)-5.91517(e)-314.504(�)-1.3336(q)-2.33195(u)1.3483(a)-6.01515(t)3.35237(i)0.671944(o)-6.01515(n)1.3483(,)-324.543(o)-6.01515(n)-323.867(o)-6.01368(b)1.34683(t)3.35237(i)0.673414(e)-1.33213(n)25.4368(t)3.35237]TJ endobj [( )777(! [(3)1.16367]TJ q 95 0 0 -4 1446.9 4645.9 cm 1 0 0 1 151.08 18.48 Tm 3130.13 5026.29 3144.68 4996.77 3144.68 4965.48 c BI 8.04 0 Td EI Q >> Q [(l)0.673414(i)0.673414(t)3.35237(e)-1.33213(s)-328.353(�)-331.229(o)-6.01368(r)-5.91369(b)1.34683(i)0.673414(t)3.35237(e)-326.547(c)-1.33213(i)0.673414(r)-5.91369(c)-1.33213(u)1.34683(-)-4.01108]TJ [(c)-1.33286(e)-326.548(q)-2.33122(u)1.3483(i)-336.588(c)-1.33286(o)-6.01515(n)1.3483(d)1.3483(u)1.3483(i)0.671944(t)-333.907(�)-6.01515]TJ [(M)0.579313]TJ endobj )0.264661]TJ o����3w��qu�������.��@o�ۼ����#����������Y+�q�]=�����c��Q��z,���̬����t�����ˋd��q�2<9��ХD�jHj���� /R27 9.96264 Tf BI <> 7.32 -1.44 Td [(1)-6.01368]TJ /BPC 1 21.6 -1.44 Td Q q /W 1 /BPC 1 /R19 9.96264 Tf /R27 9.96264 Tf 3133.33 4944.83 l /H 1 [(2)1.16367]TJ /H 1 10.32 0 Td /R50 6.97385 Tf (11) Exploiter des informations concernant le mouvement de satellites ou de planètes. 1 0 0 1 213.6 259.8 Tm q )0.264661]TJ /H 1 -29.52 21.84 Td [(=)-5.92546]TJ EI Q Q /R46 6.97385 Tf Q [(Q)-5.14618]TJ )4.3718]TJ 4.44 1.44 Td [(r)29.4244(;)-168.63()-24.8443(;)-168.63(z)-4.75507]TJ 8.33333 0 0 8.33333 0 0 cm BT 7.56 1.44 Td /BPC 1 )]TJ (_)Tj /R19 9.96264 Tf ET /H 1 /R21 9.96264 Tf [(C)-0.657241(e)-254.278(s)-3.1377(u)1.3483(j)4.35514(e)-1.33286(t)-249.592(e)-1.33286(s)-3.1377(t)-249.593(d)1.3483(e)-254.279(d)1.3483(i)0.671944()2.02465(c)-1.3336(u)1.3483(l)0.671944(t)3.35237(�)-254.279(m)2.02465(o)18.0749(y)21.758(e)-1.3336(n)1.3483(n)1.3483(e)-1.3336(,)-240.228(m)2.02465(a)-6.01515(i)0.671944(s)-244.038(i)0.673414(l)-252.272(e)-1.33213(s)-3.1377(t)-249.593(t)3.35237(r)-5.91369(�)-1.33213(s)-244.038(l)0.673414(o)-6.01368(n)1.34683(g)-246.914(e)-1.33213(t)-249.593(n)1.34683(�)-1.33213(c)-1.33213(e)]TJ -94.8 -23.04 Td 136.92 -13.2 Td q 87 0 obj /IM true /BPC 1 /BPC 1 7.8 1.44 Td q 4 0 0 -100 767.9 673.9 cm )-324.543(C)-0.657241(a)-6.01515(l)0.671944(c)-1.3336(u)1.3483(l)0.671944(e)-1.3336(r)-319.085(l)0.671944(')0.671944(�)-1.3336(c)-1.3336(a)-6.01515(r)-5.91517(t)-321.863(r)-5.91517(e)-1.3336(l)0.671944(a)-6.01515(t)3.35237(i)0.671944(f)-332.905(e)-1.3336(n)25.4383(t)3.35237(r)-5.91517(e)-326.549(l)0.673414(e)-1.33213(s)-328.353(d)1.34683(e)-1.33213(u)1.34683(x)-327.547(m)2.02318(�)-1.33213(t)3.35237(h)]TJ )-300.453(L)-1.4968(a)-295.095(s)-3.1377(i)0.671944(t)3.35237(u)1.3483(a)-6.01515(t)3.35237(i)0.673414(o)-6.01368(n)-299.778(d)1.34683(e)-314.502(l)0.673414(a)-307.139(q)-2.33195(u)1.34683(e)-1.33213(s)-3.1377(t)3.35237(i)0.673414(o)-6.01368(n)-299.778(2)-295.094(n)1.34683(e)-314.502(c)-1.33213(o)]TJ 254.76 0 Td BI 0 0 0 1 k ET 5.76 0 Td q 8.33333 0 0 8.33333 0 0 cm BT ID /H 1 11.16 -1.44 Td /R48 9.96264 Tf 264.36 0 Td /R48 9.96264 Tf q 4 0 0 -104 436.9 2918.9 cm 3147.83 4939.83 l BI <>endobj [(T)6.26364]TJ BI <>endobj [(u)1.3483(n)-323.867(a)-6.01515(n)1.3483(g)-6.01515(l)0.671944(e)-1.33286]TJ /OpenAction [4 0 R /Fit] )0.671944]TJ [(O)-5.33916(n)-323.867(o)-6.01515(b)1.3483(t)3.3531(i)0.671944(e)-1.33286(n)25.4383(t)-333.907(a)-6.01515(l)0.671944(o)-6.01515(r)-5.91443(s)-3.1377]TJ /H 1 7.8 -3.6 Td -232.2 -41.16 Td /R19 9.96264 Tf 1 0 0 1 171.36 371.16 Tm 20.52 0 Td <> Q /R21 9.96264 Tf endobj Q /R19 9.96264 Tf /H 1 (_)Tj /R46 6.97385 Tf 8.33333 0 0 8.33333 0 0 cm BT ET 7.68 1.44 Td endstream /IM true /R19 9.96264 Tf ID /R65 6.97385 Tf /BPC 1 ET /R48 9.96264 Tf [(e)-1.33213(r)-234.769(l)0.673414(')0.673414(i)0.673414(n)25.4368(t)3.35237(e)-1.33213(n)1.34683(s)-3.1377(i)0.673414(t)3.35237(�)-254.277(d)1.34683(e)-1.33213(s)-244.038(f)4.35514(o)-6.01368(r)-5.91369(c)-1.33213(e)-1.33213(s)-3.1377]TJ BI )0.673414]TJ h 268.56 0 Td 12.36 0 Td /IM true 10.68 0 Td /BPC 1 /R48 9.96264 Tf /BPC 1 /R48 9.96264 Tf 2594 4545 950 891.668 re W n [(h)-2.1614]TJ ID 43.56 0 Td BI [(T)6.26364]TJ /R48 9.96264 Tf /R48 9.96264 Tf Corrigé des exercices Physique 10 Satellites, planètes & mouvement circulaire 1. [(1)-5.89017(\))2.56133]TJ La physique sur un plan d'eau. [(P)39.1286(a)4.82123(r)3.74495(t)1.44387(i)-5.85194(e)-388.467(I)-33.756(I)-33.756(I)2.379]TJ EI Q /R65 6.97385 Tf 4.44 -1.44 Td 11.16 -1.44 Td ET /R48 9.96264 Tf Q /R46 6.97385 Tf <> endobj /R48 9.96264 Tf /W 1 /W 1 63 0 obj /R27 9.96264 Tf ET 1.1. BI /W 1 ET /R48 9.96264 Tf )0.673414]TJ /R21 9.96264 Tf [(n)1.34793(a)-6.01515(i)0.671944(r)-5.91443(e)-326.548(e)-1.33286(s)-3.1377(t)-321.862(f)4.35514(o)-6.01515(r)-5.91443(c)-1.33286(�)-1.33286(m)2.02392(e)-1.3336(n)25.4383(t)-321.863(s)-3.1377(i)0.671944(t)3.35237(u)1.3483(�)-1.3336(e)-338.594(d)1.3483(a)-6.01515(n)1.3483(s)-328.353(l)0.671944(e)-338.594(p)1.3483(l)0.671944(a)-6.01515(n)-323.867(�)-1.3336(q)-2.33195(u)1.3483(a)-6.01515(t)3.35237(o)-6.01368(r)-5.91369(i)0.673414(a)-6.01368(l)-312.497(d)1.34683(e)-338.592(l)0.673414(a)-331.229(T)83.6592(e)-1.33213(r)-5.91369(r)]TJ [(�)3.27722(d)-4.63565(i)4.3718(t)-1.9098(i)4.3718(o)5.19519(n)-4.63565(s)-357.549(H)-5.74493]TJ /R46 6.97385 Tf /R19 9.96264 Tf /H 1 257.16 0 Td /R46 6.97385 Tf -248.28 -12 Td /H 1 21.12 0 Td II La mise en orbite d’un satellite Les satellites artificiels existent depuis seulement une cinquantaine d’années, le premier, Spoutnik 1, a été lancé par l’U.R.S.S. <>endobj 78 0 obj La mise en marche d’un moteur du satellite … 11.4 0 Td /W 1 [()-168.015(")-3.75524]TJ 8.76 0 Td 8.33333 0 0 8.33333 0 0 cm BT ID Correction PDF. 55 0 R 18.6 -1.44 Td (questions 1 à 11) de ce sujet : ... professeur de Physique-Chimie au Lycée E.Woillez de Montreuil-sur-mer (62) et colleur en Maths Sup MPSI et Maths Spé MP au Lycée Mariette de Boulogne-sur-mer(62) ... Mise en orbite d'un satellite Diffusion de neutrons ET EI Q /R48 9.96264 Tf )4.3718]TJ q 8) Sachant qu’un satellite situé à une orbite à 1,0.103 km d’altitude descend d’environ 2 m par jour, en déduire la valeur du coefficient de frottements € α. Exercice 6 : Vitesse d’un satellite à son périgée : Lors de son lancement, le satellite d’observation Hipparcos est resté sur son orbite de transfert à cause d’un 7.32 -3.6 Td [(2)1.16367]TJ q 130 0 0 -4 1411.9 3172.9 cm /R48 9.96264 Tf ID [(m)2.02318(e)-495.177(d)1.34683(e)-495.177(p)-22.7432(o)-6.01368(i)0.673414(n)25.4368(t)3.35237(s)-3.1377]TJ ID /R27 9.96264 Tf BI [(e)-1.33286(t)-321.862(n)1.3483(o)-6.01515(n)-335.912(l)0.671944(e)-1.33286(u)1.3483(r)-331.129(p)1.3483(u)1.3483(i)0.671944(s)-3.1377(s)-3.1377(a)-6.01515(n)1.3483(c)-1.3336(e)-1.3336(. 16535 5.76 -1.44 Td . endobj q 338 0 0 -4 1707.9 1611.9 cm 67.68 -22.44 Td /BPC 1 S q [(3)1.16367]TJ [(l)0.671944(')0.671944(e)-1.33286(n)1.3483(s)-3.1377(e)-1.33286(m)26.1139(b)1.3483(l)0.671944(e)-326.548(d)1.3483(e)-338.593(l)0.671944(a)-331.23(s)-3.1377(u)1.3483(r)-5.91517(f)4.35514(a)-6.01515(c)-1.3336(e)-326.549(t)3.35237(e)-1.3336(r)-5.91517(r)-5.91517(e)-1.3336(s)-3.1377(t)3.35237(r)-5.91517(e)-1.3336(,)-312.498(s)-3.1377(o)-6.01515(i)0.671944(t)-321.863(4)-6.01515(9)-331.23(s)-3.1377(a)-6.01515(t)3.35237(e)-1.33213(l)0.673414(l)0.673414(i)0.673414(t)3.35237(e)-1.33213(s)-328.353(e)-1.33213(n)-335.913(t)3.35237(o)]TJ C'est un solide formé par le centre de la terre et par les centres de 3 étoiles lointaines (les quatre points étant non coplanaires). 9 8.76 Td 5.76 0 Td /R48 9.96264 Tf [()-5.89017]TJ [(�)-1.3336(t)3.35237(a)-6.01515(n)25.4368(t)-370.043(a)-6.01368(i)0.673414(n)1.34683(s)-3.1377(i)-360.677(u)1.34683(n)1.34683(e)-386.772(c)-1.33213(o)-6.01368(n)1.34683(s)-3.1377(t)3.35237(a)-6.01368(n)25.4368(t)3.35237(e)-362.682(q)-2.33195(u)1.34683(i)-372.722(v)57.893(a)-6.01368(u)1.34683(t)3.35237]TJ /H 1 >> [(l)0.673414(')0.673414(�)-1.33213(l)0.673414(e)-1.33213(c)-1.33213(t)3.35237(r)-5.91369(o)-6.01368(m)2.02318(a)-6.01368(g)-6.01368(n)1.34683(�)-1.33213(t)3.35237(i)0.673414(s)-3.1377(m)2.02318(e)-1.33213(. /R46 6.97385 Tf 1 0 0 1 141.48 513.12 Tm ID /R27 9.96264 Tf 3381.83 4825.83 l 8.88 -50.04 Td /BPC 1 /R46 6.97385 Tf <>endobj /R46 6.97385 Tf /IM true >> -264.36 -30.96 Td Q 248.28 0 Td 1 Exercice d’application 1 : satellite sur une trajectoire circulaire Un satellite de masse m est a un mouvement circulaire uniforme autour de la Terre (de masse M T) à une distance r du centre de la Terre. /BPC 1 10.08 3.6 Td /R48 9.96264 Tf q 553 0 0 -4 1778.9 1246.9 cm [(6)-5.89017]TJ /W 1 9.12 -1.44 Td 225.96 0 Td 8.33333 0 0 8.33333 0 0 cm BT [(I)-0.410469(n)-2.69807(d)-4.26275(i)2.11116(c)-4.95749(a)97.7039(t)-4.93053(i)2.11238(o)4.21252(n)-2.69807(s)-2.27657]TJ [(r)0.264661]TJ endobj 1 0 0 1 409.56 674.04 Tm 8.52 0 Td 7.32 -3.6 Td ET [(1)-6.01515(0)-499.86(L)-1.49607(')0.671944(�)-1.33286(n)1.3483(o)-6.01515(n)1.3483(c)-1.33286(�)-266.323(n)1.3483(e)-278.368(p)1.3483(r)-5.91517(�)-1.3336(c)-1.3336(i)0.671944(s)-3.1377(e)-254.279(p)1.3483(a)-6.01515(s)-280.173(q)-2.33195(u)1.3483(e)-1.3336]TJ /W 1 /R21 9.96264 Tf 8.52 1.44 Td T*[(F)1.57032]TJ 12.24 0 Td /R48 9.96264 Tf q 364 0 0 -4 2407.9 2333.9 cm /H 1 ID 4.92 3.6 Td /H 1 de révolution T et h. Exprimer de même la … /R46 6.97385 Tf q En effet, lorsqu'il y a absence d'influences extérieures, on parle aussi de forces extérieures, alors tout corps que l'on considère comme ponctuel va perdurer dans un mouvement rectiligne uniforme. 2 1) Freinage d’un satellite par l’atmosphère : (Mécanique) Un satellite terrestre artificiel (S) de vitesse r V (dans le référentiel géocentrique galiléen) sur une orbite basse (c’est-à-dire dont l’altitude z est très inférieure au rayon terrestre R T) subit des frottements dus à l’atmosphère. 5.76 0 Td -15 -15.36 Td [(h)-2.1614]TJ Q [(+)-5.92546]TJ q x���JQ�����F��dv6���� +��Mj������827&�"Qpan�D�n`��mt�ħ~.R���D�J�/�nӋv0ޥ�g����9-NJ+]�ە�/��}��o��j����k-Ǩ�E�;L����(�J�K�;��V�� -15 -15.36 Td EI Q [(e)-1.33213(t)3.35237(i)0.673414(t)-297.773(a)-6.01368(n)1.34683(g)-6.01368(l)0.673414(e)-1.33213(,)0.673414]TJ /IM true 44 0 obj 0 0 0 1 k 249.96 3.6 Td [(k)-2.9789(m)1.89379]TJ 5.76 0 Td 36 0 obj [( )752.91(! Espace pédagogique : physique chimie. 9.48 0 Td /PageMode/UseOutlines /IM true 8.4 1.44 Td [(e)-1.33213(n)25.4368(t)3.35237(i)0.673414(e)-1.33213(l)0.673414(l)0.673414(e)-338.592(d)1.34683(e)-338.592(p)-22.7432(e)-1.33213(s)-3.1377(a)-6.01368(n)25.4368(t)3.35237(e)-1.33213(u)1.34683(r)-5.91369(. 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