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wolverine [178]
4 years ago
7

A person walks 5.0kilometers north, then 5.0 kilometers east. His displacement is closest to ? A. 10 kilometers northwest B. 7.1

kilometers northwest C. 10 kilometers northeast D. 7.1 kilometers northeast
Physics
1 answer:
Rainbow [258]4 years ago
4 0
Use vector analysis and calculate resultant vector using Pythagoras theorem:
5^2 + 5^2 = 50
Square root of 50 = approx 7.1 km NE
Therefore the answer is D
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Part 1
xz_007 [3.2K]

a) The x-coordinate of the center of gravity is \frac{19}{18}\cdot a.

b) The y-coordinate of the center of gravity is \frac{19}{18}\cdot a.

<h3>Determination of the coordinates of the center of gravity</h3>

Let suppose that each square has an <em>uniform</em> density, the coordinates of the center of gravity of each square with respect to the origin are, respectively:

\vec r_{1} = (0.5\cdot a, 0.5\cdot a)

\vec r_{2} = (1.5\cdot a, 0.5\cdot a)

\vec r_{3} = (0.5\cdot a, 1.5\cdot a)

\vec r_{4} = (1.5\cdot a, 1.5\cdot a)

The center of gravity of the <em>entire</em> system is found by applying definition of <em>weighted</em> averages:

\vec r_{cg} = \frac{W_{1}\cdot \vec r_{1}+W_{2}\cdot \vec r_{2}+W_{3}\cdot \vec r_{3}+W_{4}\cdot \vec r_{4}}{W_{1}+W_{2}+W_{3}+W_{4}}

Where W_{1}, W_{2}, W_{3} and W_{4} are weights of the each square, in newtons.

Now we proceed the coordinates of the center of gravity of the entire system:

\vec r_{cg} = \frac{(50\,N)\cdot (0.5\cdot a, 0.5\cdot a) + (30\,N)\cdot (1.5\cdot a, 0.5\cdot a)+(30\,N)\cdot (0.5\cdot a, 1.5\cdot a)+(70\,N)\cdot (1.5\cdot a, 1.5\cdot a)}{50\,N+30\,N+30\,N+70\,N}

\vec r_{cg} = \frac{5}{18}\cdot (0.5\cdot a, 0.5\cdot a) +\frac{1}{6}\cdot (1.5\cdot a, 0.5\cdot a) +\frac{1}{6}\cdot (0.5\cdot a, 1.5\cdot a) + \frac{7}{18}\cdot (1.5\cdot a, 1.5\cdot a)

\vec r_{cg} = \left(\frac{19}{18}\cdot a, \frac{19}{18}\cdot a  \right) \blacksquare

a) The x-coordinate of the center of gravity is \frac{19}{18}\cdot a. \blacksquare

b) The y-coordinate of the center of gravity is \frac{19}{18}\cdot a. \blacksquare

To learn more on center of gravity, we kindly invite to check this verified question: brainly.com/question/20662119

6 0
2 years ago
Dacia asks katarina to tell her What the values of the Y or that can make sin
ololo11 [35]

Katarina is right. The explanation correct is because r is a distance and always positive, from she can see that when y is negative, sinθ is also negative.

<h3>What is the explanation for the above?</h3>

For every interval of odd multiple of π, to next even multiple of π, sinθ will be negative.

Mathematically,

Sin θ will be negative in

[(2n +1)π, (2n + 2)π]

Where, n is any integer (Positive or negative).

Hence, it is right to state that Katarina is right. The explanation correct is because r is a distance and always positive, from she can see that when y is negative, sinθ is also negative.

Learn more about Sine:
brainly.com/question/13115570
#SPJ1

Full Question:

Dacia Asks Katarina To Tell Her What The Values Of Y Are That Can Make Sine Negative. Which Of Katarina's Replies Is Correct?

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Expresar por notación científica:<br> 846 000 000
dimaraw [331]

Answer:

8.46*10^8

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The atmospheric temperature decreases when snow starts melting because the snow------------------------- from the atmosphere to
jek_recluse [69]
It absorbs thermal energy therefore melting the snow
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“A famous person to themselves, they don't get up in the morning and think, I'm famous. I'm not famous to me. Famous is a percep
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I would say B because different people see famous people in different ways. like a famous person would just see them self as a person whereas a non-famous person would see them as amazing and superior to others.
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4 years ago
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