Astronauts visiting a new planet find a lake filled with an unknown liquid. they have with them a plastic cube, 8.0 cm on each side, with a density of 840 kg/m3. first they weigh the cube with a spring scale, measuring a weight of 25 n. then they float the cube in the lake and find that two-thirds of the cube is submerged. at what depth in the lake will the pressure be twice the atmospheric pressure of 85 kpa?

depth is 1.16 m

Explanation:

given data

length = 8 cm

density = 840 kg/m³

weight = 25 N

atmospheric pressure = 85 kPa

to find out

what depth in the lake will the pressure be twice the atmospheric pressure

solution

we know here that two thirds of the cube is submerged

we get first mass of cube that is

mass = 0.08³ × 0.08 = 0.43008 kg

and g = weight ÷ mass

g =

g = 58.12 m/s²

and we get now ρ for two thirds of the cube is submerged that is

weight = 0.08³ × 58.12 × ρ ×

25 = 0.08³ × 58.12 × ρ ×

ρ = 1260.18 kg/m³

pressure = ρgd   ..................1

pressure = 1260.18 × 58.12 × d

85 × 10³ = 1260.18 × 58.12 × d

d = 1.16 m

electrical power

this is an example of "committed" time.

committed time, as contracted time, takes need over essential and available time since it is seen as profitable work. it alludes to the time allotted to keep up a home and family. at the point when a man is commuting using committed time this individual may feel that the drive is an obligation to family, for example, strolling youngsters to class or driving a mate to work. contracted and committed time clients may feel that their commute could really compare to the commute of important or leisure time clients on the grounds that their commute is profitable work. in this manner, they might be more disposed to pick a mechanized method of movement.