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−1 .
a. 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. b Given that the mass of the Earth is 6×1024 kg and its average radius is 6400 km, what fraction of the observer's Ep at the surface is your answer to part a? ( G=6.67×10−11 Nm2kg−2 )