An office worker has his lunch on the 53rd floor of an office building. in which case is the gravitational potential energy of the lunch-earth system greatest? an office worker has his lunch on the 53rd floor of an office building. in which case is the gravitational potential energy of the lunch-earth system greatest? the worker carried the lunch up to the 53rd floor in the elevator. the worker got a ride in a helicopter to the top of the 68-floor building and then carried the lunch down in the elevator to the 53rd floor? the worker carried it up the stairs to the 53rd floor. gravitational potential energy does not depend on the path taken.