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Aneli [31]
4 years ago
8

Vector A with arrow, which is directed along an x axis, is to be added to vector B with arrow, which has a magnitude of 5.5 m. T

he sum is a third vector that is directed along the y axis, with a magnitude that is 6.0 times that of A with arrow. What is the magnitude of A with arrow? (Enter your answer to 4 significant figures.)
Physics
1 answer:
ohaa [14]4 years ago
8 0

Answer:

Magnitude of vector A = 0.904

Explanation:

Vector A , which is directed along an x axis, that is

                   \vec{A}=x_A\hat{i}

Vector B , which has a magnitude of 5.5 m

                   \vec{B}=x_B\hat{i}+y_B\hat{j}

                   \sqrt{x_{B}^{2}+y_{B}^{2}}=5.5\\\\x_{B}^{2}+y_{B}^{2}=30.25

The sum is a third vector that is directed along the y axis, with a magnitude that is 6.0 times that of vector A                    \vec{A}+\vec{B}=6x_A\hat{j}\\\\x_A\hat{i}+x_B\hat{i}+y_B\hat{j}=6x_A\hat{j}

Comparing we will get

                  x_A=-x_B\\\\y_B=6x_A

Substituting in x_{B}^{2}+y_{B}^{2}=30.25

                  \left (-x_{A} \right )^{2}+\left (6x_{A} \right )^{2}=30.25\\\\37x_{A}^2=30.25\\\\x_{A}=0.904

So we have

    \vec{A}=0.904\hat{i}

Magnitude of vector A = 0.904

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#11). 
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#12).
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#20).

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7 0
4 years ago
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Explanation:

The formula for the time of flight of a projectile is given as,

T = 2usinФ/g ......................... Equation 1

Where T = Time of flight, u = initial velocity, Ф = angle of projectile to the horizontal, g = acceleration due to gravity.

make u the subject of the equation

u = Tg/2sinФ....................... Equation 2

Given: T = 69 s, Ф = 30°

Constant: g = 9.8 m/s²

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u = (69×9.8)/(2×sin30)

u = 679.2 m/s.

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5 0
3 years ago
A perceived increase in the volume of sound is best explained by ________.
tatiyna

Answer:

A. an increase in the height of the sound wave

Explanation:

Volume of the sound is measured by its intensity

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A. an increase in the height of the sound wave

8 0
3 years ago
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