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zavuch27 [327]
3 years ago
11

A student does an experiment with a string vibrating at 20 hertz and observes the resonance pattern shown in the

Physics
1 answer:
Rufina [12.5K]3 years ago
4 0

Answer:

v = 8.0 m/s

Explanation:

The diagram clearly shows that the string is vibrating in the 5th harmonic. Hence, the length of string in terms o wavelength can be given as:

L = \frac{5}{2}\lambda\\\\\lambda = \frac{2}{5} L

where,

λ = wavelength = ?

L = Length of string = 1 m

Therefore,

\lambda = \frac{2}{5}(1\ m)\\\\\lambda = 0.4\ m

Now, the speed of the wave can be given by the following formula:

v = f\lambda\\

where,

v = speed of wave =?

f = frequency of wave = 20 Hz

Therefore,

v = (20\ Hz)(0.4\ m)\\v = 8\ m/s\\

Hence, the correct answer is:

<u>v = 8.0 m/s</u>

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A 600-kg car traveling at 30.0 m/s is going around a curve having a radius of 120 m that is banked at an angle of 25.0°. The coe
andrey2020 [161]

Answer:

The magnitude of force is 1593.4N

Explanation:

The sum of the horizontal components of the friction and the normal force will be equal to the centripetal force on the car. This can be represented as

fcostheta + Nsintheta = mv^2/r

Where F = force of friction

Theta = angle of banking

N = normal force

m = mass of car

v = velocity of car

r = radius of curve

The car has no motion in the vertical direction so the sum of forces = 0

The vertical component of the normal force acts upwards whereas the weight of the car and the vertical component friction acts downwards.

Taking the upward direction to be positive,rewrite the equation above to get:

Ncos thetha = mg - fsintheta =0

Ncistheta = mg + fain theta

N = mg/cos theta + sintheta/ costheta

fcostheta +[mg/costheta + ftan theta] sin theta = mv^2/r

Substituting gives:

f = (1/(costheta + tanthetasintheta) + mgtantheta = mv^2/r - mgtantheta)

Substituting given values into the above equation

f = 1/(cos25 + tan 25 )(sin25)[ 600×30/120 - (600×9.81)tan

f = 1593.4N25

4 0
4 years ago
Read 2 more answers
Scientists were studying three different embryos to determine their relationship to humans. The notes about each embryo are show
Sholpan [36]

Answer:

The awnser is B

Explanation:

I took the test.

0 0
4 years ago
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The birth defect caused by the Zika Virus to unborn infants is called__________?
lions [1.4K]
It is B, Microcephaly. Hope I helped! :))
3 0
3 years ago
At this rate, how long would it take for two continents 3500 kilometers apart to collide?
meriva

<span>Given:

3,500 kilometers

Find:</span>

 

Years for two continents to collide = ?

 

<span>Solution:

We know that </span>typical motions of one plate relative to another are 1 centimeter per year.

So first, we convert 3,500 km to cm.<span>
</span><span>

</span>

The solution would be like this for this specific problem:

 

1 km = 100,000 cm

3,500 km x 100,000 = 350,000,000 cm

Since we know that 1 cm = 1 year, then that means 350,000,000 cm is equivalent to 350,000,000 years.

 

Therefore, it would take 350 million years for two continents that are 3500 kilometers apart to collide.

<span>
To add, </span>a phenomenon of the plate tectonics of Earth that occurs at convergent boundaries is called the continental collision.

5 0
3 years ago
A man 2 m tall walks horizontally at a constant rate of 1 m/s toward the base of a tower 23 m tall. When the man is 10 m from th
Evgen [1.6K]

Answer:

\dfrac{d\theta}{dt}=0.038\ rad/s

Explanation:

Given that

\dfrac{dx}{dt}= -1\ m/s

From the diagram

tan\theta=\dfrac{21}{x}

By differentiating with time t

sec^2\theta \dfrac{d\theta}{dt}=-\dfrac{21}{x^2}\dfrac{dx}{dt}

When x= 10 m

tan\theta=\dfrac{21}{10}

θ = 64.53°

Now by putting the value in equation

sec^2\theta \dfrac{d\theta}{dt}=-\dfrac{21}{x^2}\dfrac{dx}{dt}

sec^264.53^{\circ} \dfrac{d\theta}{dt}=-\dfrac{21}{10^2}\times (-1)

\dfrac{d\theta}{dt}=0.038\ rad/s

Therefore rate of change in the angle is 0.038\ rad/s

8 0
3 years ago
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