Answer:
See the answers below.
Explanation:
The magnitude can be easily found by means of the Pythagorean theorem.
![C = \sqrt{(C_{x})^{2} +(C_{y})^{2}} \\C=\sqrt{(105)^{2} +(88.2)^{2} } \\C=\sqrt{18804.24}\\C = 137.13 [m]](https://tex.z-dn.net/?f=C%20%3D%20%5Csqrt%7B%28C_%7Bx%7D%29%5E%7B2%7D%20%2B%28C_%7By%7D%29%5E%7B2%7D%7D%20%5C%5CC%3D%5Csqrt%7B%28105%29%5E%7B2%7D%20%2B%2888.2%29%5E%7B2%7D%20%7D%20%5C%5CC%3D%5Csqrt%7B18804.24%7D%5C%5CC%20%3D%20137.13%20%5Bm%5D)
We know that the coordinates in x and in y are negative, therefore the vector should be located in the fourth quadrant, see attached image.
And the angle with respect to the horizontal can be determined by means of the tangent of the angle.
![tan(\alpha )=\frac{88.2}{105}\\tan(\alpha ) =0.84\\\alpha =tan^{-1} (0.84)\\\alpha =40](https://tex.z-dn.net/?f=tan%28%5Calpha%20%29%3D%5Cfrac%7B88.2%7D%7B105%7D%5C%5Ctan%28%5Calpha%20%29%20%3D0.84%5C%5C%5Calpha%20%3Dtan%5E%7B-1%7D%20%280.84%29%5C%5C%5Calpha%20%3D40)
These are 40 degrees below the X-positive horizontal axis.
Electromagnetic waves<span> are made of oscillating magnetic and electric fields, and like all </span>waves<span>, they carry energy</span>
Conductors have many free electrons
insulators have few free electrons
conductors are ideal for electrical wiring
Answer: A student walks 50 meters east, 40 meters north, 35 meters east, and then 20 m south. Then the magnitude and direction of the student's total displacement will be 87.32 m along the direction of AD or in east-south direction.
Explanation: To find the correct answer, we need to know about the Displacement of a body in motion.
<h3>What is displacement of a body in motion?</h3>
- The displacement is the shortest distance between initial and final positions of a body.
- It's a vector quantity, and can positive, negative, or zero.
- The magnitude of displacement is less than or equal to the distance travelled.
<h3>How to solve the problem?</h3>
- At first, we can draw a diagram showing the motion of the body.
- From the diagram, the displacement of the body will be equal to the distance between point A and D.
- To solve this, we can use Pythagoras theorem.
![AD=AC+CD\\AC^{2} =50^{2} +11^2\\AC=51.19 m\\Similarly,\\CD^2=35^2+9^2\\CD=36.13 m\\thus, \\AD=51.19+36.13=87.32 m](https://tex.z-dn.net/?f=AD%3DAC%2BCD%5C%5CAC%5E%7B2%7D%20%3D50%5E%7B2%7D%20%2B11%5E2%5C%5CAC%3D51.19%20m%5C%5CSimilarly%2C%5C%5CCD%5E2%3D35%5E2%2B9%5E2%5C%5CCD%3D36.13%20m%5C%5Cthus%2C%20%5C%5CAD%3D51.19%2B36.13%3D87.32%20m)
Thus, from the above calculations, we can conclude that, the displacement of the body will be equal to 87.32 m along the direction of AD or in east-south direction.
Learn more about the Displacement here:
brainly.com/question/28020108
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