At a certain altitude above the Earth’s surface, the acceleration due to gravity decreases by exactly 2%. Using RE=6.4×106m, answer the following.
a. (i) Calculate the altitude h at which this reduction occurs.
b. (ii) Find the depth d below the Earth’s surface at which g is also 2% less than the surface value.
c. (iii) Show numerically which of the two distances, h or d, is larger and state by what factor.