The planet Saturn has a mass of 5.69x10 26 and volume 8.01x10 23 m3 what is the density of Saturn ? Would Saturn sick or float if you could place it in a gigantic bathtub filled with water ?

Density = mass/volume

We are given a mass (which I am assuming is in kilograms) and a volume.  Divide to find density.

Density of Saturn = 5.69x10²⁶ kg / 8.01x10²³ m³

Density of Saturn = 710. kg/m³

The density of water is 1000 kg/m³, which is higher than the density of Saturn.  Since Saturn has a lower density than water, theoretically, Saturn would float in a gigantic bathtub filled with water.

Density: 710. kg/m³

Float? Yes.

first let us lay out the formula for potential

and kinetic energy:

pe = mgh

ke = (mv^2)/2

where: m=mass, v=velocity, g=gravitational

acceleration, h=height

calculating for mass using the known values of

pe:

340j = m (9.81 m/s^2) (50ft) (1m/3.28ft)

m = 2.27 kg

the law of conservation of energy states that

energy is neither created nor destroyed. therefore, the change in kinetic

energy from 50 ft to 35 ft would be equal to the change in potential energy

from 50 ft to 35 ft. however it would be opposite in signs since one is losing

while other is gaining.

ke(35ft) – ke(50ft) = - [ pe(35ft) – pe(50ft]

ke(50ft) = 0 since the brick is initially at rest

ke(35ft) = 340j - 2.27kg (9.81 m/s^2) (35ft)

(1m/3.28 ft)

ke(35ft)

= 102.38 j