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stiks02 [169]
2 years ago
6

3. Two fans blow at 5 ms^-1 in a easterly direction and 8ms^-1 in a Northerly

Physics
1 answer:
Anvisha [2.4K]2 years ago
3 0

Addition of vectors is done by adding the components of the vectors

The total speed of the fan  is approximately <u>9.43 m/s</u>,

Direction of total wind 58° counterclockwise from the positive x-axis

<u />

The reason the value is correct is as follows:

The given parameters are:

The direction at which the fan blowing at 5 m/s is blowing = Easterly

The direction in which the fan blowing 8 m/s is blowing = Northerly

The total speed of the van, |v| ≈ <u>9.43 m/s</u>

<u />

Required:

To find the total wind speed of the fans

Solution:

Taken the easterly direction as the ith component, and the northerly direction as the jth component,  the vector representing the speed of the fan is presented as follows

v = 5·i + 8·j

The magnitude of the total wind speed of the fan, |v| = √(5² + 8²) = √(89) ≈ 9.43

The total wind speed of the fan , |v| ≈ <u>9.43 m/s</u>

The direction of the total speed with respect to the x-axis, θ, is given as follows;

θ = arctan(8/5) ≈ <u>58°</u>

<u />

Learn more about addition of vectors here:

brainly.com/question/17691926

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2 years ago
A nonconducting sphere of diameter 10.0 cm carries charge distributed uniformly inside with charge density of +5.50 µC/m3 . A pr
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Answer:

t = 2.58*10^-6 s

Explanation:

For a nonconducting sphere you have that the value of the electric field, depends of the region:

rR:\\\\E=k\frac{Q}{r^2}

k: Coulomb's constant = 8.98*10^9 Nm^2/C^2

R: radius of the sphere = 10.0/2 = 5.0cm=0.005m

In this case you can assume that the proton is in the region for r > R. Furthermore you use the secon Newton law in order to find the acceleration of the proton produced by the force:

F=m_pa\\\\qE=m_pa\\\\k\frac{qQ}{r^2}=m_pa\\\\a=k\frac{qQ}{m_pr^2}

Due to the proton is just outside the surface you can use r=R and calculate the acceleration. Also, you take into account the charge density of the sphere in order to compute the total charge:

Q=\rho V=(5.5*10^{-6}C/m^3)(\frac{4}{3}\pi(0.05m)^3)=2.87*10^{-9}C\\\\a=(8.98*10^9Nm^2/C^2)\frac{(1.6*10^{-19}C)(2.87*10^{-9}C)}{(1.67*10^{-27}kg)(0.05m)^2}=9.87*10^{11}\frac{m}{s^2}

with this values of a you can use the following formula:

a=\frac{v-v_o}{t}\\\\t=\frac{v-v_o}{a}=\frac{2550*10^3m/s-0m/s}{9.87*10^{11}m/s^2}=2.58*10^{-6}s

hence, the time that the proton takes to reach a speed of 2550km is 2.58*10^-6 s

3 0
3 years ago
If 2.0 x 10^-4 C charge passes a point in 5.0 x 10^-5 s, what is the rate of current flow?
vampirchik [111]
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I = 2.0 x 10^-4 C / 5.0 x 10^-5 s
<span>I = 4 A</span>
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3 years ago
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While standing on the edge of the grand canyon, you see a rattlesnake and scream. You hear the echo of the scream off canyon flo
bezimeni [28]

Answer:

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Explanation:

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Here we need to find out the depth of the canyon . When you will scream after seeing a snake , the sound produced will travel till the end of the canyon and after hitting the end , it will travel back to you .

  • So if the depth of the canyon is d (say) , then the total distance travelled by the sound wave will be d + d = 2d .

And we know that the speed of the sound is approximately 340m/s in air , so we can use the formula distance = speed * time to calculate the depth of the canyon . So ,

\sf \longrightarrow Distance = (Speed)(Time) \\

\sf \longrightarrow 2d = 340m/s * 11.2 s\\

\sf \longrightarrow d = \dfrac{340m/s * 11.2s}{2} \\

\sf \longrightarrow \boxed{\bf Depth_{canyon}= 1904m }\\

6 0
2 years ago
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