An astronaut landed on a far away planet that has a sea of water. to determine the gravitational acceleration on the planet's surface, the astronaut lowered a pressure gauge into the sea to a depth of 28.6 m. if the gauge pressure is measured to be 2.4 atm, what is the gravitational acceleration on the planet's surface?

The concept required to solve this problem is hydrostatic pressure. From the theory and assuming that the density of water on that planet is equal to that of the earth we can mathematically define the pressure as

Where,

= Density

h = Height

g = Gravitational acceleration

Rearranging the equation based on gravity

The mathematical problem gives us values such as:

Replacing we have,

Therefore the gravitational acceleration on the planet's surface is