The observatory in the Burj Khalifa (the tallest building in the world in 2021) is…

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

The observatory in the Burj Khalifa (the tallest building in the world in 2021) is 556 m above the ground. The gravitational field strength in the region just above the Earth's surface is 9.81 Nkg−19.81 \text{ Nkg}^{-1} . (a) How much work must be done to take an observer, of mass 60 kg, from the ground floor up to the observatory of the Burj Khalifa? (b) Given that the mass of the Earth is 6×1024 kg6 \times 10^{24} \text{ kg} and its average radius is 6400 km, what fraction of the observer's EpE_p at the surface is your answer to part a? ( G=6.67×10−11 Nm2kg−2G = 6.67 \times 10^{-11} \text{ Nm}^2\text{kg}^{-2} )

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