A space-elevator cabin has reached a height of above Earth’s surface and is…

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

A space-elevator cabin has reached a height of 640 km640\,\text{km} above Earth’s surface and is accelerating upward at 2 m s−22\,\text{m\,s}^{-2}. Taking R=6.4×106 mR = 6.4\times10^{6}\,\text{m} and g=9.8 m s−2g = 9.8\,\text{m\,s}^{-2} at the surface, what is the reading of a weighing machine for an astronaut of mass 60 kg60\,\text{kg} inside the cabin? (a) 708 N708\,\text{N} (b) 600 N600\,\text{N} (c) 486 N486\,\text{N} (d) 468 N468\,\text{N}

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