Question

An electrical short cuts off all power to a submersible diving vehicle when it is a distance of 29 m below the surface of the ocean. The crew must push out a hatch of area 0.950 m2 and weight 390 N to escape.

If the pressure inside is 1.0atm, what downward force must they exert on the hatch to open it?

Answer 1

277983.465 N

Step-by-step explanation:

`\rho` = Density of seawater =
`1030\ kg/m^3`

g = Acceleration due to gravity = 9.81 m/s²

h = Depth = 29 m

w = Force = 390 N

A = Area =
`0.95\ m^2`

Force in the system would be

`F=(\rho gh)A-w\\\Rightarrow F=(1030* 9.81* 29)* 0.95-390\\\Rightarrow F=277983.465\ N`

The downward force must they exert on the hatch to open it is 277983.465 N