Explanation:
It is given that,
Mass of the woman, m₁ = 52 kg
Angular velocity, 
Mass of disk, m₂ = 118 kg
Radius of the disk, r = 3.9 m
The moment of inertia of woman which is standing at the rim of a large disk is :
I₁ = 790.92 kg-m²
The moment of inertia of of the disk about an axis through its center is given by :
I₂ =897.39 kg-m²
Total moment of inertia of the system is given by :
I = 1688.31 kg-m²
The angular momentum of the system is :
So, the total angular momentum of the system is 4980.5 kg-m²/s. Hence, this is the required solution.
The definition of a scale of 1: 166 will mean that the scale of 1 in the model will be equivalent to 166 times the measurement in the real model, therefore we will have that the height would be 166 times smaller than the 179m given:
The same for the diameter,
The volume of a cylinder is given as
Therefore the volume would be
Answer: 
Explanation:
Let's begin by explaining that the relation between the Celsius scale and Kelvin scale is:
This means the absolute zero point of the Kelvin scale is 
Keeping this in mind, we have the freezing point and boling point of Methane as:
Freezing point: 
Boiling point: 
According to this, there is a linear relation between the methane scale (
) and the Kelvin scale in the form:
(1)
Where:
is the temperature in Kelvin
is the temperature in degrees Methane
Firstly, we need to find the value of 
and 
with the two given points (
and 
):
When 
and 
:
(2)
When 
and 
:
(3)
Now we have the linear equation:
(4)
Isolating :
(5)
Evaluating for 
:
(6)
Finally:
This means 
I believe the answer is <span>c. Factor 1 is a natural factor and Factor 2 is a human induced factor.
The amount of heat received by the sun has increased because of the amount of CO2 which human expelled to the atmosphere.
Because of this CO2, the heat from the sun couldn't be reflected outside the atmosphere and trapped within the earth.</span>
