Answer:
Displacement = 
Magnitude of displacement = 13.89 units
Angle of displacement = 30.26°
Explanation:
Mark the co-ordinates of each of the end points of the vectors.
The marked co-ordinates are shown below.
Displacement is the shortest distance between two points. Here, displacement between the starting and end points is the vector
.
Displacement vector for a point A
from origin O is given as:

Magnitude is given as:

Direction of the vector is given as:

Therefore, displacement vector is:

Magnitude of displacement is given as:

Angle of displacement is:

°
Answer:
Option D is the correct answer.
Explanation:
We equation for elongation
Here we need to find weight required,
We need to stretch a steel road by 2 mm, that is ΔL = 2mm = 0.002 m

E = 200GPa = 2 x 10¹¹ N/m²
L=2m
Substituting

Option D is the correct answer.
Scientists review the work of other scientists to validate the results and check the evidence's reliability. The correct option among all the options that are given in the question is the fourth option or the last option or option "D". I hope that this is the answer that has come to your desired help.
DibujaZos da buenos tips e incluso el pinta con colores faber castel son económicos y el dibujo queda epico
So, the work was done by that hot air-balloon is <u>30,000 J or 30 kJ</u>.
<h3>Introduction</h3>
Hi ! In this question, I will help you. <u>Work is the amount of force exerted to cause an object to move a certain distance from its starting point</u>. In physics, the amount of work will be proportional to the increase in force and increase in displacement. Amount of work can be calculated by this equation :

With the following condition :
- W = work (J)
- F = force (N)
- s = shift or displacement (m)
Now, the s (displacement) can be written as ∆h (altitude change) because the object move to vertical line. The formula can also be changed to:

With the following condition :
- W = work (J)
- F = force (N)
= change of altitude (m)
If an object has mass, then the object will also be affected by gravity. Always remember that F = m × g. So that :


With the following condition :
- W = work (J)
- m = mass of the object (kg)
- g = acceleration of the gravity (m/s²)
= change of altitude (m)
<h3>Problem Solving</h3>
We know that :
- F = force = 100 N
= change of altitude 300 m
What was asked :
Step by step :



<h3>Conclusion</h3>
So, the work was done by that hot air-balloon is 30,000 J or 30 kJ.
<h3>See More :</h3>