Answer
The percentage of the gravitational force on the skier that is offset by the buoyant force from the snow is $~~9.4\%$
Work Step by Step
We can find an expression for the gravitational force on the skier:
$F_g = mg$
$F_g = \rho_{skier}~V~g$
We can find an expression for the buoyant force by the snow:
$F_b = \rho_{snow}~V~g$
We can find the ratio of $\frac{F_b}{F_g}$:
$\frac{F_b}{F_g} = \frac{\rho_{snow}~V~g}{\rho_{skier}~V~g}$
$\frac{F_b}{F_g} = \frac{\rho_{snow}}{\rho_{skier}}$
$\frac{F_b}{F_g} = \frac{96~kg/m^3}{1020~kg/m^3}$
$\frac{F_b}{F_g} = 0.094$
The percentage of the gravitational force on the skier that is offset by the buoyant force from the snow is $~~9.4\%$
