R = 6370 км. Т = 3 ч. = 3*3600 с = 10800 с. Vэкв = 2п*R/T = 2*3.14*6370*10^3/10800 = 3704.0 м/с.
Рпол = 3*Pэкв. ==> m*a(пол) = 3*m*a(экв) ==> (сократим m) ==>
a(пол) = 3*a(экв) (*)
Причём: а (пол) = а (гравит).
а (экв) = а (гравит) – а (ц. б.) = а (гравит) – (Vэкв) ^2/R = а (гравит) – (3704)^2/(6370*10^3) = а (гравит) – 2,15 = а (пол) – 2,15 (м/с^2), т. е:
а (эка) = а (пол) – 2,15 (**).
Вставляем (**) в (*):
а (пол) = 3*(а (пол) – 2,15). ==> а (пол) = 3*а (пол) – 6,45. ==>
2*а (пол) = 6,45 ==> а (пол) = 3,225 (м/с^2).
ответ: а (пол) = 3,225 (м/с^2)
Объяснение:
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