1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lesya [120]
3 years ago
8

A standing wave pattern is created on a string with mass density μ = 3.4 × 10-4 kg/m. A wave generator with frequency f = 61 Hz

is attached to one end of the string and the other end goes over a pulley and is connected to a mass (ignore the weight of the string between the pulley and mass). The distance between the generator and pulley is L = 0.62 m. Initially the 3rd harmonic wave pattern is formed.
1) What is the wavelength of the wave? m 2) What is the speed of the wave? m/s 3) What is the tension in the string? N 4) What is the mass hanging on the end of the string? kg 5)Now the hanging mass is adjusted to create the 2nd harmonic. The frequency is held fixed at f = 61 Hz.What is the wavelength of the wave? m 6) What is the speed of the wave? m/s 7) What is the tension in the string? N 8) What is the mass hanging on the end of the string? kg 9) Keeping the frequency fixed at f = 61 Hz, what is the maximum mass that can be used to still create a coherent standing wave pattern?
Physics
1 answer:
uranmaximum [27]3 years ago
5 0

Answer:

1) λ = 0.413 m , 2)v = 25,213 m / s , 3)  T = 0.216 N , 4) m = 22.04 10-3 kg

Explanation:

1) The resonance occurs when the traveling wave bounces at the ends and the two waves are added, the ends as they are fixed have a node, the wavelength and the length of the string are related

         λ = 2L / n               n = 1, 2, 3 ...

In this case L = 0.62 m and n = 3

Let's calculate

        λ = 2 0.62 / 3

        λ = 0.413 m

2) the velocity related to wavelength and frequency

      v =  λ f

      v = 0.413 61

      v = 25,213 m / s

3) let's use the equation

     v = √T /μ

     T = v² μ

     T = 25,213² 3.4 10⁻⁴

     T = 0.216 N

4) the rope tension is proportional to the hanging weight

      T-W = 0

     T = W

    W = m g

    m = W / g

    m = 0.216 / 9.8

    m = 22.04 10-3 kg

5) n = 2

     λ = 2 0.62 / 2

     λ = 0.62 m

6) v =  λ f

     v = 0.62 61

     v = 37.82 m / s

7) T = v² μ

   T = 37.82² 3.4 10⁻⁴

   T = 0.486 N

8) m = W / g

   m = 0.486 / 9.8

   m = 49.62 10⁻³ kg

9) n = 1

    λ = 2 0.62

    λ = 1.24 m

    v = 1.24 61

    v = 75.64 m / s

    T = v² miu

    T = 75.64² 3.4 10⁻⁴

    T = 2.572 10⁻² N

    m = 2.572 10⁻² / 9.8

    m = 262.4 10⁻³ kg

You might be interested in
How is newtons third law of motion demonstrated on a roller coaster?
butalik [34]
<span>Newton's Third Law of Action-Reaction is that for each and every action that happens, there is an equal and opposite reaction to it. In the scenario of a roller coaster, this is when you push down on the seat of the roller coaster as it flies along and the seat pushes back against you.</span>
8 0
3 years ago
5. You head downstream on a river in an outboard.
Elena-2011 [213]

Answer:

hope this helps you're welcome

5 0
3 years ago
3. An athlete makes a long jump and follows a projectile motion. Air resistance is negligible. Which one of the following statem
yulyashka [42]

Answer:

Option (b) is correct.

Explanation:

The motion under the influence of gravity is called projectile motion.

The acceleration due to gravity is constant through out the motion and it is always acting downwards.

When an athlete jumps and follow the projectile path, it always have the same horizontal velocity as there is no acceleration in the horizontal direction.

Also he has the vertical acceleration constant which is equal to the acceleration due to gravity and acts towards the center of earth.  

Option (b) is correct.

6 0
3 years ago
Solving a physics problem is . . .
Vsevolod [243]
C. A step-by-step process that takes time, and is essential for learning physics concepts.
3 0
3 years ago
Read 2 more answers
100 POINTS!!! MAKE YOU BRAINLIEST! ASAP PLEAZE HURRY
kolezko [41]

1. I think it was the Big Bang Theory. It states that the universe was originally a small, immensely dense packet of energy that exploded causing the elements and space to form.

2. It's because of the Big Bang, even though it's a theory scientists still assume that's the reason why everything is moving away from each other. They even said something about planets and other things being formed because of it.

3. Gravitational force is a fundamental force which acts between any two bodies having mass. It is an attractive force. It is proportional to the mass of the two bodies and inversely proportional to square of distance between them.

It is due to gravitational force that holds planets with stars, moons with their planets and stars in galaxies. Had there been no gravitational force, the stars would not have formed and for the fact, any other body in this universe. Gravitational force causes the moons to revolve about planets, planets to revolve about star and star to revolve about the center of galaxy.

4. That part of the solar system is the sun. Of all the mass in the total solar system, more than 99% of it is in the sun.

5. Every object in the universe exerts a gravitational force on every other object, but the size of that force depends on the mass of the objects and the distance between them. The earth has more mass than the moon, so its gravitational pull affects the moon. The sun is more massive than any of the planets in the solar system and so its gravitational pull affects them and keeps them in orbit.

6. Earth is slightly closer to the sun in January than in July. However, summer is warmer because the tilt of the earth exposes the hemisphere to more direct light during the summer months.

7. If earth was not tilted on an axis, we wouldn't have any seasons. We wouldn't have seasons because the axis tilts us towards or away from the sun, and if you're tilted towards the sun, it would be summer. If you're tilted away from the sun, it would be winter. If there was no axis, the temperature would be the same everyday so therefore, we would not have seasons.

8. It shows the heliocentric idea of the solar system. In this view, the sun is at the center of the solar system with planets orbiting around it. In the geocentric view, the earth is at the center of the solar system.

9. On the summer solstice, the sun will shine directly on the Tropic of Cancer (23.5 degrees north ) , so the summer solstice should be picture B. While on the winter solstice, the sun will shine directly on the Tropic of Capricorn (23.5 degrees south), so the winter solstice is picture D. Because earth revolves in counter clockwise direction around the sun, the spring equinox will be picture A and the fall equinox will be picture C.

As for the dates, the spring equinox is on March 20 or 21, the summer solstice is on June 22 or 23, the fall equinox is on September 23 or 24, and the winter solstice is on December 22 or 23.

10. Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune.

11. Mercury, Mars, Venus, Earth, Neptune, Uranus, Saturn, and Jupiter

12. Mercury, Mars, Uranus, Venus, Earth, Neptune, Saturn, and Jupiter

Earth  

Earth, the third planet from the sun and the largest terrestrial

planet, is the only planet known to host living beings and the only one known to have liquid water on its surface. T

Jupiter  

The largest and most distinctive of the storms, the Great Red Spot, is larger than Earth. Jupiter has 63 moons and a faint ring system.

Mars

Some of the surface features of Mars, such as dry river beds, hint to the possibility that water previously existed on the planet and may still flow under the surface.

Mercury  

The planet Mercury is hot and cold at the same time. The part where it is facing the sun is so hot that it can reach up to 800 degrees Fahrenheit while the other side (not facing the sun) can be as cold as -279 F.

Neptune  

Like all the outer planets, Neptune, like Uranus, has a diameter roughly four times that of Earth.

Saturn

Saturn has an extensive and complex ring system

Uranus  

The ice giant Uranus spins on an axis parallel to its orbit.

Venus

The density of its atmosphere makes the air pressure at the surface 90 times that of Earth's. The heat and pressure make the planet decidedly inhospitable to life.  

4 0
3 years ago
Other questions:
  • Question 7 Unsaved Brycen can cover half a basketball court (about 14 meters) in 4.0 seconds flat! How fast can he run? Question
    11·1 answer
  • Please help! Just answer these questions
    7·1 answer
  • A horse ran at a constant speed for 4 hours. Then, it decreased its speed by 7 mph for the
    5·1 answer
  • Water waves approach an underwater "shelf" where the velocity changes from 2.8 m/s to 2.1 m/s. If the incident wave crests make
    11·1 answer
  • a solution made by dissolving 116 g of CaCl2 in 64 g of water has a density of 1.180 g/ml at 20 degrees celsius what is the mola
    6·1 answer
  • Please help me with this question​
    12·1 answer
  • A 5-kg ball collides inelastically head-on with a 10-kg ball, which is initially stationary. Which of the following statements i
    15·1 answer
  • A driver moves with initial velocity of 40m/s accelerates uniformly at a rate of 12m/s2.  It attains a velocity 52m/s. calculate
    12·1 answer
  • NEED HELP FROM SCIENCE GENIUS !! POINTS WILL BE GIVEN AND DO GIVE ME A DECENT ANSWER !!!
    6·2 answers
  • A shell is launched with an initial velocity at an angle of 40.0° above horizontal
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!