Question #16753

a body has a mas 80 kilogram and height 250 km. find its weight using universal law of gravitation in newton and in pounds??

Expert's answer

According to the Newton's law of universal gravitation we have:

F = int(...)dh (from A to B)

F = int ( 6.67384×10^(-11)[m³/kg/s²] * 5.97219×10^24[kg] * 80[kg]/250000[m] / h² )dh (from 6353000[m] to 6353000[m]+250000[m]) ≈ 760.1149[N] = 760.1149[kg·m/s²] = 760.1149/0.45359237[pounds·m/s²] = 1675.7665[pounds·m/s²].

F = int(...)dh (from A to B)

F = int ( 6.67384×10^(-11)[m³/kg/s²] * 5.97219×10^24[kg] * 80[kg]/250000[m] / h² )dh (from 6353000[m] to 6353000[m]+250000[m]) ≈ 760.1149[N] = 760.1149[kg·m/s²] = 760.1149/0.45359237[pounds·m/s²] = 1675.7665[pounds·m/s²].

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