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Two objects, each of mass m, hang from strings of different lengths on a balance at the surface of the Earth, as shown. If the strings have negligible mass and differ in length by h, (a) show that the error in weighing, associated with the fact that W’ is closer to the Earth than W, is W’ – W = 8piGpmh/3, where p is the mean density of the Earth (5.5 g/cm^3). (b) Find the difference in length that will give an error of one part in a million.

Two objects, each of mass m, hang from strings of different lengths on a balance at the surface of the Earth, as shown. If the strings have negligible mass and differ in length by h, (a) show that the error in weighing, associated with the fact that W’ is closer to the Earth than W, is W’ – W = 8piGpmh/3, where p is the mean density of the Earth (5.5 g/cm^3). (b) Find the difference in length that will give an error of one part in a million. 

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Grade:12th pass

1 Answers

Rituraj Tiwari
askIITians Faculty 1792 Points
3 years ago
657-1439_Annotation 2020-08-22 140546.png

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