A parcel weighing 600N at sea level is to be lifted to a mountain rest-house where its weight will decrease by exactly 1. Take R=6.4×106m and g=9.8ms−2 at sea level.
(a) Obtain the relation connecting the required height H and the desired percentage change in weight, assuming H≪R.
(b) Calculate the height H (in metres) to the nearest whole number.
(c) If the parcel is instead raised by this height in two equal stages, explain whether the final percentage change in weight will remain 1 or differ, and justify your answer quantitatively.