Final answer:
The pressure at the bottom of the well due to the drilling mud is calculated using the formula p = ρgh to be 116539776 kg/m-sec².
Step-by-step explanation:
To calculate the pressure at the bottom of the well due to drilling mud, we use the formula p = ρgh, where p is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height of the column of fluid. Given that the density (ρ) of the drilling mud is 2160 kg/m³, the height (h) of the mud column is 5486 m, and the gravitational constant (g) is 9.806 m/sec², the pressure at the bottom of the well can be calculated as follows:
p = 2160 kg/m³ × 9.806 m/sec² × 5486 m
p = 116539776 kg/m-sec²
Therefore, the pressure at the bottom of the well due to the column of drilling mud is 116539776 kg/m-sec².