You are visiting your friend fabio's house. you find that, as a joke, he filled his swimming pool with kool-aid, which dissolved perfectly into the water. however, now that you want to swim, you must remove all of the kool-aid contaminated water. the swimming pool is round, with a 9 foot radius. it is 8 feet tall and has 7.5 feet of water in it. how much work is required to remove all of the water by pumping it over the side? use the physical definition of work, and the fact that the density of the kool-aid contaminated water is σ=63.5lbs/ft3

Explanation:

The volume of contaminated water

= cross sectional area x height of water level

3.14 x 9 x 9 x 7.5 ft³

= 1907.55 ft³

mass = density x volume

= 1907.55 x 63.5 lbs

m = 121129.425 lbs

This mass has to be raised to the height of 8 ft before evacuation .

There is a rise of centre of mass of

8 - 7.5/2 ft

h = 4.25 ft

Energy required

= mgh

= 121129.425 x 32 x 4.25

= 16473601.8 unit.

  the unit of the measure =

explanation:

  the property that is quantified by the energy needed per of material to raise the temperature by one.

  si unit of energy = joule (j)

  si unit of temperature = kelvin (k)

  si unit of mass of material = kilogram (kg)

the property that is quantified by the energy needed per of material to raise the temperature by one is called specific heat.

the unit of specific heat is