269.04 0 Td )0.673414]TJ [(. ET Q 3274 5046.33 l q 1235 0 0 -4 1437.9 2776.9 cm [(A)3.21122]TJ /R21 9.96264 Tf [(p)-2.89068]TJ -269.16 -12 Td 12.36 0 Td ID /R31 6.97385 Tf /IM true /R19 9.96264 Tf ET /R31 6.97385 Tf 2442 4686.25 2445.58 4689.83 2450 4689.83 c ID 7.8 0 Td /R21 9.96264 Tf BI 2445.58 4673.83 2442 4677.41 2442 4681.83 c Lien vers l'énoncé https://mines-ponts.fr/pages/upload/sujet/sujet.phpSuite du corrigé de l'épreuve physique 1 du concours mines ponts 2019 en MP/PSI et PC Q Centrale Physique et Chimie 2 MP 2019 -- Corrigé Ce corrigé est proposé par Tom Morel (professeur en CPGE) et Alexandre Herault (professeur en CPGE) ; il a été relu par Vincent Freulon (professeur en CPGE), Louis Salkin (professeur en CPGE) et Augustin Long (professeur en CPGE). 8.33333 0 0 8.33333 0 0 cm BT /BPC 1 6.12 -0.96 Td EI Q ET [()0.614601]TJ ID [()0.264661]TJ [(1)-5.89017]TJ [(v)21.7588(�)-1.33286(r)-5.91443(i)0.671944()1.3483(e)-1.33286(r)-319.084(s)-3.1377(i)-324.543(l)0.671944(')0.671944(a)-6.01515(p)1.3483(p)1.3483(r)-5.91517(o)18.0749(x)-2.33195(i)0.671944(m)2.02465(a)-6.01515(t)3.35237(i)0.671944(o)-6.01515(n)-311.822(d)1.3483(e)-1.3336(s)-328.353(p)-22.7417(e)-1.3336(t)3.35237(i)0.671944(t)3.35237(s)-352.443(a)-6.01515(n)1.3483(g)-6.01515(l)0.673414(e)-1.33213(s)-316.308(e)-1.33213(s)-3.1377(t)-333.908(v)57.893(a)-6.01368(l)0.673414(i)0.673414(d)1.34683(e)-1.33213(. 2868.5 4681.91 2864.92 4678.33 2860.5 4678.33 c 3201.5 4961.33 m q q 3048 0 0 -5 530.9 258.9 cm /H 1 1 0 0 1 230.16 674.04 Tm /R17 9.96264 Tf /R19 9.96264 Tf [(e)-1.33286(t)-370.042(i)0.671944(n)25.4383(t)3.3531(e)-1.33286(r)-5.91443(a)-6.01515(g)-6.01515(i)0.671944(s)-3.1377(s)-3.1377(e)-1.3336(n)25.4383(t)-357.998(a)18.0749(v)21.758(e)-1.3336(c)-350.639(l)0.671944(')0.671944(o)18.0749(x)-2.33195(y)-2.33195(g)-6.01515(�)-1.3336(n)1.3483(e)-362.684(e)-1.3336(n)-372.047(f)4.35514(o)-6.01368(n)1.34683(c)-1.33213(t)3.35237(i)0.673414(o)-6.01368(n)-372.048(d)1.34683(u)-384.093(p)-22.7432(o)-6.01368(t)3.35237(e)-1.33213(n)25.4368(t)3.35237(i)0.673414(e)-1.33213(l)-372.722(d)1.34683(u)]TJ [(. [(T)-0.69988(\()2.55986(R)1.25567(\))2.55986]TJ 1 0 0 1 234.24 421.92 Tm /IM true )-348.633(O)-5.33879(r)-5.91517(,)-324.543(l)0.671944(a)-331.23(r)-5.91517(e)-1.3336(l)0.671944(a)-6.01515(t)3.35237(i)0.671944(o)-6.01515(n)-311.823(d)1.34683(e)-338.592(S)1.34683(n)1.34683(e)-1.33213(l)0.673414(l)0.673414(-)-4.01108(D)4.86387(e)-1.33213(s)-3.1377(c)-1.33213(a)-6.01368(r)-5.91369(t)3.35237(e)-1.33213(s)-328.353(s)-3.1377(')0.673414(�)-1.33213(c)-1.33213(r)-5.91369(i)0.673414(t)3.35237]TJ q 4 0 0 -236 1437.9 3011.9 cm /BPC 1 EI Q [(A)20.448(n)-4.03313(n)-4.03166(a)5.09325(l)2.54662(e)2.1761(s)-350.049(d)5.09325(e)2.1761(s)-362.094(C)4.72272(o)5.09325(n)-4.03166(c)50.3561(o)5.09325(u)-5.49024(rs)-0.74399]TJ 9.12 0 Td )-432.947(C)-0.65577(e)-434.952(c)-1.33213(o)-6.01368(u)1.34683(p)1.34683(l)0.673414(e)-422.907(e)-1.33213(s)-3.1377(t)3.35237]TJ q 162 0 0 -4 1814.9 3950.9 cm 262.32 0 Td /R58 4.98132 Tf EI Q /BPC 1 8.33333 0 0 8.33333 0 0 cm BT /R29 9.96264 Tf 10.56 0 Td 3183 4688.25 3186.58 4691.83 3191 4691.83 c 1 0 0 1 67.2 440.04 Tm 5.64 0 Td q Q /BPC 1 15.48 0 Td /W 1 /W 1 /R31 6.97385 Tf 2856.08 4678.33 2852.5 4681.91 2852.5 4686.33 c /R27 9.96264 Tf h 7.8 1.44 Td /R19 9.96264 Tf /W 1 )-264.317(L)-1.4968(e)-1.33213(s)-280.173(e)-1.33213(s)-3.1377(p)-22.7432(�)-1.33213(c)-1.33213(e)-1.33213(s)-3.1377]TJ /H 1 4.68 0 Td /BPC 1 ET 3372 4690.83 l 1 0 0 1 67.44 643.44 Tm EI Q /R31 6.97385 Tf Q q 42 0 0 -4 1912.9 2521.9 cm ET 1 0 0 1 230.16 674.04 Tm -9.96 -15.36 Td /W 1 [(1)-3.30091]TJ /R29 9.96264 Tf 3419.5 4683.33 l q 4 0 0 -104 631.9 5051.9 cm [(A)111.432(v)21.7588(e)-1.33286(c)-326.548(l)0.671944(a)-343.275(f)4.35514(o)-6.01515(r)-5.91443(m)26.1139(u)1.3483(l)0.671944(e)-326.549(d)1.3483(u)-335.912(g)-6.01515(r)-5.91517(a)-6.01515(n)1.3483(d)1.3483(i)0.671944(s)-3.1377(s)-3.1377(e)-1.3336(m)2.02465(e)-1.3336(n)25.4383(t)3.35237]TJ -268.08 -12 Td Les sujets du concours sont des œuvres collectives des membres du jury. 90.36 0 Td /H 1 /R10 8.96638 Tf -274.2 -11.88 Td [(O)-5.92546]TJ q 743 0 0 -4 1683.9 2380.9 cm 8.33333 0 0 8.33333 0 0 cm BT /IM true /W 1 [(p)-460.601()-5.92546]TJ 3195 4961.33 m 176.04 0 Td [(0)2.06477]TJ 10.56 0 Td /W 1 Base de données des concours. 1 0 0 1 149.16 18.48 Tm /R21 9.96264 Tf /R29 9.96264 Tf Physique; Centrale Physique et Chimie 2 MP 2015 — Corrigé ... X Physique MP 2007 — Corrigé. EI Q q 3306.5 5066.33 l /R27 9.96264 Tf [(x)4.88446]TJ /R21 9.96264 Tf S /H 1 Q 0 0 1 rg 9.96 0 Td [(0)2.06267]TJ 3.96 0 Td Centrale-Supelec MP 2019 Physique-Chimie 1 Epreuve, Concours Centrale-Supélec (CCS), Concours Physique et Chimie MP, AlloSchool 1 0 0 1 224.16 563.16 Tm 15 -17.16 Td [( )-5.92546]TJ 0 0 0 RG -264.36 -12 Td q 3284 5035.33 l EI Q q [(C)2.3023(a)-2.67111(p)2.09891(t)-4.93053(u)2.33416(r)1.0035(e)-529.862(d)-4.26275(')-4.17576(e)2.12586(m)4.65607(p)2.10013(r)1.00228(e)2.12464(i)2.11238(n)-2.69807(t)-4.93053(e)2.12464(s)-524.227(d)-4.26398(i)2.11238(g)2.24962(i)2.11238(t)95.4445(a)-2.67111(l)3.01174(e)2.12464(s)-2.27657]TJ 263.64 0 Td ID EI Q /R29 9.96264 Tf /W 1 /R33 6.97385 Tf [(p)-2.89068]TJ /R19 9.96264 Tf [(=)-5.92546]TJ /W 1 Creative /R19 9.96264 Tf /W 1 ET )2.92107(f)2.92107(r)2.92107]TJ 8.33333 0 0 8.33333 0 0 cm BT 1 0 0 1 122.76 440.04 Tm /IM true /R21 9.96264 Tf 13.44 6.72 Td [(H)3.02595]TJ 39.36 7.68 Td Q -293.52 -12 Td ET 11.64 3.6 Td [(1)1.16367]TJ S 17.04 6.72 Td ID 157.32 0 Td [()-2.15992]TJ /H 1 /R14 7.97011 Tf 78.84 0 Td [(�)3.27722(d)-4.63565(i)4.3718(t)-1.9098(i)4.3718(o)5.19519(n)-4.63565(s)-344.166(H)-5.74493]TJ q 162 0 0 -4 1484.9 3741.9 cm /W 1 [(p)-2.89068]TJ [(t)2.55986(a)-5.89017(n)0.930723]TJ 3411.5 5165.83 l 262.92 0 Td /R21 9.96264 Tf /W 1 [(D)4.16546]TJ [(s)-3.1377(t)3.3531(a)-6.01515(n)1.3483(d)1.3483(a)-6.01515(r)-5.91443(d)-311.822(p)1.3483(a)-6.01515(r)-331.13(u)1.3483(n)-335.912(t)3.35237(e)-1.3336(r)-5.91517(m)2.02465(e)-326.549(d)1.3483(�)-1.3336(p)-22.7417(e)-1.3336(n)1.3483(d)1.3483(a)-6.01515(n)25.4383(t)-333.908(d)1.3483(e)-1.3336]TJ 8.33333 0 0 8.33333 0 0 cm BT [(H)3.20975(I)-0.34994]TJ ET q 4 0 0 -236 1683.9 2376.9 cm 8.33333 0 0 8.33333 0 0 cm BT 12.48 0 Td q 50 0 0 -4 2096.9 3902.9 cm Nous corrigeons ici 13 questions /BPC 1 6 3.6 Td /R19 9.96264 Tf BI q 3048 0 0 -4 530.9 5587.9 cm )0.673414]TJ 1 0 0 1 260.52 465.6 Tm ET Vous trouverez ici les sujets des épreuves du concours Centrale-Supélec session 2018, filière MP, au format pdf. q 93 0 0 -4 998.9 4883.9 cm /IM true 8.33333 0 0 8.33333 0 0 cm BT -49.8 -15.36 Td 1 0 0 1 228.6 261.84 Tm -272.04 -12 Td EI Q EI Q [(1)-5.89017]TJ [ ] 0 d BI ID /R31 6.97385 Tf 7 0 obj [( )-5.92546]TJ 3185.5 4965.75 3189.08 4969.33 3193.5 4969.33 c /R56 9.96264 Tf /IM true 5.76 0 Td /R29 9.96264 Tf /R27 9.96264 Tf ET EI Q ET endobj 5.52 -3.6 Td /R21 9.96264 Tf /R29 9.96264 Tf [(=)-5.89017]TJ ET ID /BPC 1 11.76 6.72 Td EI Q /R29 9.96264 Tf 3372 4675.83 l )-240.227(O)-5.34026(n)-239.553(s)-3.1377(')0.673414(i)0.673414(n)25.4368(t)3.35237(�)-1.33213(r)-5.91369(e)-1.33213(s)-3.1377(s)-3.1377(e)-1.33213]TJ /IM true q /R19 9.96264 Tf 3372 4675.83 m -213.96 -12 Td Centrale Physique et Chimie 2 MP 2019 — Corrigé Ce corrigéest proposé par Tom Morel (professeur en CPGE) et Alexandre Herault (professeur en CPGE); il a été relu par Vincent Freulon (professeur en CPGE), Louis Salkin (professeur en CPGE) et Augustin Long (professeur en CPGE). Q 3313.5 5084.33 l ET 8.33333 0 0 8.33333 0 0 cm BT /R9 gs -182.76 -15.48 Td /R21 9.96264 Tf 69.6 0 Td /H 1 Q 2454.42 4689.83 2458 4686.25 2458 4681.83 c 10.2 -3.6 Td /R19 9.96264 Tf q [(C)-0.379326(e)-1.83843(n)33.81(t)1.08335(r)3.02184(a)-2.19376(l)-4.00819(e)-369.88(P)-1.67761(h)33.8105(y)3.25924(s)-1.17218(i)-4.0087(q)3.25924(u)0.352267(e)-369.88(e)-1.83894(t)-358.593(C)-0.379836(h)0.352267(i)-4.0087(m)-3.65337(i)-4.0087(e)-361.514(2)-361.869(M)-2.5302(P)-369.719(2)-2.19325(0)-2.19325(1)-2.19325(9)-353.505()-372.425(C)-0.379836(o)-2.19325(r)3.02235(r)3.02235(i)-4.0087(g)-2.19325(�)-1.83792]TJ /R19 9.96264 Tf ID [(C)-0.657241(e)-1.33286(t)3.3531(t)3.3531(e)-338.593(�)-1.33286(p)1.3483(r)-5.91443(e)-1.3336(u)1.3483(v)21.758(e)-326.549(d)1.3483(e)-338.594(l)0.671944(o)-6.01515(n)1.3483(g)-6.01515(u)1.3483(e)-1.3336(u)1.3483(r)-319.085(r)-5.91517(a)-6.01515(i)0.671944(s)-3.1377(o)-6.01515(n)1.3483(n)1.3483(a)-6.01515(b)1.3483(l)0.671944(e)-314.502(a)-6.01368(l)0.673414(t)3.35237(e)-1.33213(r)-5.91369(n)1.34683(e)-338.592(q)-2.33195(u)1.34683(e)-1.33213(s)-3.1377(t)3.35237(i)0.673414(o)-6.01368(n)1.34683(s)-328.353(p)1.34683(r)]TJ [(1)-6.01368(5)-6.01368]TJ (j)Tj BI [(3)-6.01515(0)-499.86(L)-1.49607(a)-258.96(p)1.3483(a)-6.01515(r)-5.91443(t)3.3531(i)0.671944(c)-1.33286(u)1.3483(l)0.671944(e)-1.33286]TJ Q 1 0 0 1 330.12 18.48 Tm /W 1 /BPC 1 [(t)3.3531(r)-5.91443(�)-1.33286(s)-412.668(p)1.3483(r)-5.91443(�)-1.33286(s)-3.1377(e)-1.3336(n)25.4383(t)-406.178(d)1.3483(a)-6.01515(n)1.3483(s)-424.713(l)0.671944(e)-410.864(v)21.758(e)-1.3336(r)-5.91517(r)-5.91517(e)-169.964(;)-408.858(l)0.671944(e)-1.3336(s)-412.668(i)0.671944(o)-6.01515(n)1.3483(s)-412.668(o)18.0763(x)-2.33195(y)-2.33195(d)1.34683(e)-410.862(e)-1.33213(n)-420.228(s)-3.1377(o)-6.01368(n)25.4368(t)-406.178(u)1.34683(n)-420.228(c)-1.33213(o)-6.01368(n)1.34683(s)-3.1377(t)3.35237(i)0.673414(t)3.35237(u)]TJ [(O)-222.735(+)-5.92546]TJ Q BI q /R31 6.97385 Tf /R19 9.96264 Tf 2407 4565 1025 608.332 re /R29 9.96264 Tf /H 1 [(1)1.16367]TJ /IM true 7.44 3.48 Td /R29 9.96264 Tf [(2)5.48142]TJ /R33 6.97385 Tf 8.33333 0 0 8.33333 0 0 cm BT [(t)2.55986(a)-5.89017(n)0.930723]TJ /W 1 ET 8.33333 0 0 8.33333 0 0 cm BT BI [(C)-0.657241(e)-254.278(s)-3.1377(u)1.3483(j)4.35514(e)-1.33286(t)-249.592(c)-1.33286(o)-6.01515(m)2.02465(p)-22.7417(o)-6.01515(s)-3.1377(�)-242.234(d)1.3483(e)-242.234(d)1.3483(e)-1.3336(u)1.3483(x)-255.277(p)1.3483(a)-6.01515(r)-5.91517(t)3.35237(i)0.671944(e)-1.3336(s)-244.038(i)0.671944(n)1.3483(d)1.3483(�)-1.3336(p)-22.7432(e)-1.33213(n)1.34683(d)1.34683(a)-6.01368(n)25.4368(t)3.35237(e)-1.33213(s)-244.038(p)-22.7432(o)-6.01368(r)-5.91369(t)3.35237(e)-254.277(s)-3.1377(u)1.34683(r)-246.814(l)0.673414(a)-246.914(c)]TJ 14.88 -1.44 Td [(C)-0.657241(e)-242.233(c)-1.33286(o)-6.01515(r)-5.91443(r)-5.91443(i)0.671944(g)-6.01515(�)-218.143(e)-1.3336(s)-3.1377(t)-249.593(p)1.3483(r)-5.91517(o)-6.01515(p)-22.7417(o)-6.01515(s)-3.1377(�)-230.189(p)1.3483(a)-6.01515(r)-234.77(T)83.6578(o)-6.01515(m)-238.875(M)1.02188(o)-6.01515(r)-5.91517(e)-1.3336(l)-228.183(\()3.35237(p)1.34683(r)-5.91369(o)-6.01368(f)4.35514(e)-1.33213(s)-3.1377(s)-3.1377(e)-1.33213(u)1.34683(r)-234.769(e)-1.33213(n)-251.598(C)-0.65577(P)5.86664(G)1.60267(E)5.86664(\))-249.593(e)-1.33213(t)-249.593(A)]TJ

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