Given parameters:
Mass of sucrose = 5g
Density of sucrose = 1.12g/mL
Percentage of sucrose per liter of cane juice = 12%
Unknown:
Volume of cane juice required =?
We need to understand the relationship between volume and density. Density represents mass per unit volume.
Mathematically;
Density =
Now, calculate the volume of sucrose;
1.12g/mL =
Volume =
= 4.46mL = 4.46 x 10⁻³L since 1000mL = 1L
Since 12% of one liter of cane juice is sucrose,
12% of x liter of cane juice = 4.46 x 10⁻³L
Volume of cane juice = 4.46 x 10⁻³ x
= 0.037L
Volume of cane juice needed is 0.037L
What precisely is being followed here?
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43.62m
Clarification:
Given details:
Energy = 8550J
Mass of bell = 20kg
Unknown:
Height of the bell =?
Solution:
This bell possesses potential energy, which signifies energy at rest due to its positional context.
Potential energy = m g h
where m denotes the mass of the object
g indicates gravity's acceleration
and h stands for the height of the object
Here, we need to isolate for h.
g = 9.8m/s²
Insert the variables;
8550 = 20 x 9.8 x h
As a result, h = 43.62m
learn more:
Potential energy