For a 1 kg mass near the surface of Earth being lifted through a height of 3 meters, find the change in gravitational potential energy of the Earth-mass system two ways: using the linear approximation mgh & using G m1 m2 / r where r is the distance between the centers of the two masses m1 & m2 and G = 6.67430 x 10^-11 N m^2 / kg^2. Find the % difference between the approximation and the more exact calculation. As always, your work should have context to make it understandable without the question on hand. As always, show your work with symbols first, then #s plugged in, then answer with units.