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 12.3 m. if the gauge pressure is measured to be 1.1 atm, what is the gravitational acceleration on the planet's surface? use 1000 kg/m3 as the mass density of water.

To solve this problem it is necessary to apply the concepts related to hydrostatic pressure or pressure due to a fluid.

Mathematically this pressure is given under the formula

Where,

= Density

h = Height

g = Gravitational acceleration

Rearranging in terms of g

our values are given as

Replacing we have

Therefore the gravitational acceleration on the planet's surface is (Almost the gravity of the Earth)

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards

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