Answer:
A) the maximum acceleration the boulder can have and still get out of the quarry
B) how long does it take to be lifted out at maximum acceleration if it started from rest
Explanation:
A)
let +y is upward. look below at the free body diagram. the mass M refers to the combined mass of the boulder and chain.
the weight of the chain is:
and maximum tension is 
total mass and weight is :


∑



B)
maximum acceleration

using 
to solve for t


Answer:
0.0031792338 rad/s
Explanation:
= Angle of elevation
y = Height of balloon
Using trigonometry

Differentiating with respect to t we get

Now, with the base at 200 ft and height at 2500 ft
The hypotenuse is

Now y = 2500 ft


The angle is changing at 0.0031792338 rad/s
The way these supersaturated solutions are made is: A. The water would need to be heated to a higher temperature, which would give molecules and ions more kinetic energy, increasing solubility.
Solubility is simply a measure of how readily a substance is able to dissolve in a solvent to form a solution. Thus, a substance is soluble when it dissolves completely in a solvent and it is considered to be insoluble when it does not dissolve in a solvent or if it only dissolves partially.
A supersaturated solution can be defined as a solution that contains more solute than the equilibrium amount.
Generally, supersaturated solutions of solids in water are typically used for the creation of crystals because they are able to hold more of the solute than they would at room temperature.
In order to create these supersaturated solutions, the water should be heated to a higher temperature, so that the water molecules and ions can gain more kinetic energy and thereby increasing solubility.
In conclusion, heating the water to a higher temperature causes the water molecules and ions to gain more kinetic energy and thereby increasing solubility..
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