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Grade 11Mechanics

A body is weighed by a spring balance to be 1.000 kg at the north pole. How much will it weigh at the equator? Account for the earth’s rotation only.

Profile image of Radhika Batra
12 Years agoGrade 11
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1 Answer

Profile image of Navjyot Kalra
12 Years ago
Sol. Let g’ be the acceleration due to gravity at equation & that of pole = g g’ = g ω^2 R = 9.81 – (7.3 * 10^-5)^2 * 6400 * 10^3 = 9.81 – 0.034 = 9.776 m/s^2 Mg’ = 1 kg * 9.776 m/s^2 = 9.776 N or 0.997 kg The body will weight 0.997 kg at equator