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nikklg [1K]
3 years ago
7

Two forces act on an object. The first Force has a magnitude of 400 Newtons and acts at an angle of 30 degrees as measured from

the horizontal. Second Force has a magnitude of 280 Newtons in accident angle of 135 degrees is measured from the horizontal. Determine the vector v that represents the resultant Force.
a. v=(200-140rtsq2)i+(200rtsq3+140rtsq2)j
b. v=(200+140rtsq2)i+(200rtsq3+140rtsq2)j
c. v=(200rtsq3+140rtsq2)i+(200+140rtsq2)j
d. v=(200rtsq3-140rtsq2)i+(200+140rtsq2)j
Mathematics
1 answer:
Sedaia [141]3 years ago
3 0

ANSWER

Option D is correct

EXPLANATION

We resolve the forces into component forms.

F_1 = 400 \cos(30) i + 400 \sin(30) j

F_1 = 200  \sqrt{3} i +200j

Also the second is resolved to obtain,

F_2= 280 \cos(135) i + 280 \sin(135) j.

F_2=  - 140 \sqrt{2} i + 140  \sqrt{2}  j

To find the resultant vector, V, We add the corresponding components of the two forces to get:

V=F_1+F_2

\implies \: V = (200  \sqrt{3} - 140 \sqrt{2} )i + (200 + 140 \sqrt{2})j

The correct answer is D.

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9514 1404 393

Answer:

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  • ∛971 ≈ 9.902

Step-by-step explanation:

The usual rules of rounding apply. If the digit in the 4th decimal place is 5 or more, then 1 is added in the 3rd decimal place. The roots are found using your calculator. The first 4 digits of the repeating decimal are clearly visible already.

a) √51 ≈ 7.141428... ≈ 7.141

b) 0.1326_26 ≈ 0.133

c) ∛971 ≈ 9.90238... ≈ 9.902

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<em>Additional comment</em>

The repeating decimal is equivalent to the fraction 1313/9900.

3 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
The hypotenuse of a right triangle is √18 units. what are the lengths of the legs of the triangle? How many different answers ca
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Since a right triangle has special rules to it such that the hypotenuse squared equals the sum of the squares of the other 2 sides. In other words, if the hypotenuse = c, and the 2 smaller sides are a and b, then:
{c}^{2}  =  {a}^{2}  +  {b}^{2}
Solving for c (hypotenuse), we get:
\sqrt{({c}^{2})} =   \sqrt{({a}^{2}+{b}^{2} )} \\ c =  \sqrt{({a}^{2}+{b}^{2} )}
Therefore c is the root of the square of the other sides. So by having root18, it's like saying:
\sqrt{18} =  \sqrt{({a}^{2}  +  {b}^{2} )}  \\ 18 = {a}^{2}  +  {b}^{2}
Getting rid of the square root, so sides a and b must have their squares total 18:
the only squares < 18 are: 16 (4×4), 9 (3×3), 4 (2×2), and 1 (1×1)
of those above added in any order of two of them, only 16+4
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I HOPE THAT IS ALONG THE LINE THAT WAS ASKED FOR!!! :-D


7 0
3 years ago
Land once connecting asia and north america
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You could've just looked it up dude.
7 0
3 years ago
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konstantin123 [22]

Answer:

yes

Step-by-step explanation:

7 0
3 years ago
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