We are given the following information
Diameter of Gabby's paws = 2.55 cm = 2.55/100 = 0.0255 m
Mass of Gabby = 2.72 kg
Assuming that her weight is evenly distributed over all four paws, the pressure felt by one of her paws is given by
[tex]P=\frac{F}{A}[/tex]Where F is the force and A is the area.
The force exerted on Gabby's paw is given by
[tex]F=mg[/tex]Where m is the mass and g is the acceleration due to gravity (9.81 m/s^2)
The circular area of Gabby's paw is given by
[tex]A=\pi r^2=\pi(\frac{D}{2})^2=\pi(\frac{0.0255}{2})^2=5.10705\times10^{-4}\; m^2[/tex]So, the pressure is
[tex]P=\frac{F}{A}=\frac{mg}{A}=\frac{2.72\cdot9.81}{5.10705\times10^{-4}}=52,247.78\; \; pa[/tex]Therefore, the pressure felt by one of her paws is 52,247.78 pascals.
