F=m ⃗g with ⃗g=−9.81 N/kg ̂
k is an approximation of Newton's law of universal gravitation.
(a) Up to which height h above the ground is the deviation between the field strength g(h) and the value g(h=0)
less than 0.10%? [2]
(b) When you move on the ground, the direction of ⃗g changes due to the curvature of Earth's surface. How far
can you travel from your orignial point with the sideways component of the new, tilted ⃗g ' , being less than
0.10% of the original field strength? [2]
(c) Estimate the volume above the ground (in km3
) where ⃗g is a constant vector to within 0.10%. [2]