Victoria’s ambition is to climb Mount Everest, also known in Nepal as Sagarmatha and in Tibet as Chomolungma. She thinks that the effect of the changing gravitational force will mean that she will find the climb easier as she climbs higher. The Earth’s radius is approximately 6400 km. The height of mount Everest is approximately 8.8 km. a. Explain how the gravitational force between two objects changes with the distance between them. b. With reference to the data above and to what you know about gravitational force field, evaluate Victoria’s prediction. c. Calculate the height above the Earth’s surface at which Victoria’s weight would be half its value on the surface