Answer:
Young's modulus for the rope material is 20.8 MPa.
Explanation:
The Young's modulus is given by:

Where:
F: is the force applied on the wire
L₀: is the initial length of the wire = 3.1 m
A: is the cross-section area of the wire
ΔL: is the change in the length = 0.17 m
The cross-section area of the wire is given by the area of a circle:

Now we need to find the force applied on the wire. Since the wire is lifting an object, the force is equal to the tension of the wire as follows:

Where:
: is the tension of the wire
: is the weigh of the object = mg
m: is the mass of the object = 1700 kg
g: is the acceleration due to gravity = 9.81 m/s²

Hence, the Young's modulus is:
Therefore, Young's modulus for the rope material is 20.8 MPa.
I hope it helps you!
Answer:
The mass of unknown object is 8.62Kg
Explanation:
To develop this problem it is necessary to apply the equations related to the Drag force and the Force of Gravity.
For the given point, that is, the moment at which the terminal velocity is reached, the two forces equalize, that is,

By definition we know that the Drag force is defined as

Where,
Drag coefficient
Density
A =Cross-sectional Area
V = Velocity
In the other hand we have,

Where,
Mass of sphere
Mass of unknown object
Equating the two equations we have to

Re-arrange for m_2,

Our values are given by,






Replacing in the equation we have,


<em>Therefore the mass of unknown object is 8.62Kg</em>
Answer:
The car's angular speed is
.
Explanation:
Angular velocity is usually measured with
, so I'm going to use that to answer your question.
The relationship between tangential velocity and angular velocity (ω) is given by:

Using the values from the question, we get:


Therefore, the car's angular speed is
.
Hope this helped!
Relative wind<span> is defined as the airflow relative to an airfoil.</span>
The location of the point F that partitions a line segment from D to E (
), that goes from <u>negative 4</u> to <u>positive 5,</u> into a 5:6 ratio is fifteen halves (option 4).
We need to calculate the segment of the line DE to find the location of point F.
Since point D is located at <u>negative -4</u> and point E is at <u>positive 5</u>, we have:

Hence, the segment of the line DE (
) is 9.
Knowing that point F partitions the line segment from D to E (
) into a <u>5:6 ratio</u>, its location would be:
Therefore, the location of point F is fifteen halves (option 4).
Learn more about segments here:
I hope it helps you!