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$2.50 (a) Show that the variation of gravity w
Q:(a) Show that the variation of gravity with height can be accounted for approximately by the following potential energy function: V = mgz (1 − z/RE ), in which RE is the Earth’s radius. (b) If the vertical component of the initial velocity of a projectile is v0z, how high does the projectile go? Keep only the leading (i.e. independent of RE) term, as well as the correction of the first order in RE^-1 .



