Série d'exercices N°2 - La gravitation universelle - TCS - Dr. Karam Ouharou[1]
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. 𝑚 𝑚 𝑑 𝐹⃗ 𝐹⃗ ′ 𝐹⃗ 𝐹⃗ ′ 𝐹⃗ 𝑚 = 𝑚′ = 10𝑔 𝐹⃗ ′ 𝑑 = 5 cm 𝐹⃗ 𝐹⃗ ′ 𝑚 = 100 g 𝑔 = 9,8 N/kg 𝑀𝑡 = 5, 98.1024 kg 𝑅Γ = 6, 38.106 m ℎ = 8840 m 𝐷 = 1,5 ⋅ 108 km 𝑀𝑆 = 21030 kg 𝑀𝑇 = 5, 98.1024 kg 𝑚 = 100 g 𝑚𝑆 𝑅𝑇 𝐺, 𝑚𝑆 , 𝑅𝑇 𝑟𝑆 𝑀𝑇 𝑀𝑇 𝐹𝑜 𝐺, 𝑚𝑆 , 𝑟 𝑀𝑇 𝐹 h 𝐹= 𝐹0 16 T2 a3 𝐺 = 6.67. 10−11 N ⋅ m2 ⋅ kg −2 𝐺 a(km) 42.5 85.2 171.7 400.5 422.103 671.103 1070.103 1883.103 𝑇2 𝑎3 𝑀𝐽 𝑚 = 1800 kg 𝐷 = 3.84. 105 km 𝐹1 𝐹2 (mS ) 𝑀T 𝐑T 𝐹0 𝐺, 𝑀𝑇 , 𝑚𝑆 𝑅𝑇 𝐹 𝐅 = 𝐅0 /16 (𝑟S ) 4𝜋 2 = 𝐺𝑀 , 𝑀𝑃 𝑃 Indications et rappel de cours 𝐹= ∗ G G = 6.67 10 −11 3 m ⋅ kg N Rq ∗ G = 6.67 10 −11 𝑚𝑇 ×𝑚𝑂 𝑅𝑇 2 ∗ 6 P = 𝑚𝑂 × 𝑔 = FT/0 = 𝐺 × R T = 6370 km = 6.37 10 m g= 𝐺×𝑚𝐴 ×𝑚𝐵 𝐺×𝑚𝑇 𝑅𝑇 2 𝐠 = 𝟗. 𝟖𝟏𝐍. 𝐤𝐠 −1 −1 𝑑2 ⋅ s −2