Answer
z = 0m; $W = 784.6N$
z = 1610m; $W = 784.2N$
z = 8848m; $W = 782.2N$
Work Step by Step
The weight at various locations depends of the variation of the gravitational acceleration with elevation.
$W = mg = (80kg)(g)$
$g = a - bz$
$a = 9.807 m/s^2$
$b = 3.32 \times 10^{-6} s^{-2}$
$z = elevation$
z = 0m; $W = (80kg)(9.807 m/s^2-(3.32 \times 10^{-6} s^{-2})(0m)) = 784.6N$
z = 1610m; $W = (80kg)(9.807 m/s^2-(3.32 \times 10^{-6} s^{-2})(1610m)) = 784.2N$
z = 8848m; $W = (80kg)(9.807 m/s^2-(3.32 \times 10^{-6} s^{-2})(8848m)) = 782.2N$
