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How much would an object weigh if it were four times farther from the center of the earth?
Wiki User
∙ 15y ago
weight, w = G * m1 * m2 / r^2, where G = the universal gravitational constant, m1 = the mass of the object, m2 = the mass of the earth, and r = the separation between the center of gravity of the object and that of the earth.
w1 = G * m1 * m2 /(r1^2) -- > the weight when r = r1
w2 = G * m1 * m2 /(r2^2) -- > the weight when r = r2
Given: r2 = 4 * r1
w2 = G * m1 * m2 /(16 r1^2) = w1 / 16
Hence, the object will be 16 times lighter when it is situated 4 times farther away.
Wiki User
∙ 15y ago
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