The opening to a cave is a tall, 30.0-cm-wide crack. A bat is preparing to leave the cave emits a 30.0 kHz ultrasonic chirp. How wide is the "sound beam" 100. M outside the cave opening? Use v sound= 340. M/s.

Answers

Answer 1

Answer:

The value is  [tex]w = 7.54 \ m[/tex]        

Explanation:

From the question we are told that

     The length of the crack is  [tex]a = 0.3 \ m[/tex]

     The  frequency is  [tex]f = 30.0 \ kHz = 30 *10^{3} \ Hz[/tex]

      The distance outside the cave that is being consider is  [tex]D = 100 \ m[/tex]

      The speed of sound is [tex]v_s = 340 \ m/s[/tex]

Generally the wavelength of the wave is mathematically represented as

        [tex]\lambda = \frac{v}f}[/tex]

=>     [tex]\lambda = \frac{340 }{30*10^{3}}[/tex]

=>     [tex]\lambda = 0.0113 \ m/s[/tex]

Generally for a  single slit the path difference between the interference patterns of the sound wave and the center  is mathematically represented as  

          [tex]y = \frac{ n * \lambda * D}{a}[/tex]

=>     [tex]y = \frac{ 1 * 0.0113 * 100}{0.3}[/tex]

=>     [tex]y = 3.77 \ m[/tex]

Generally the width of the sound beam is mathematically represented as

         [tex]w = 2 * y[/tex]

=>      [tex]w = 2 * 3.77[/tex]

=>      [tex]w = 7.54 \ m[/tex]        


Related Questions

What average net force is required to stop a 1950 kg car in 10.5 s if it’s initially traveling at 28m/s

Answers

Answer:

An average net force of 5200 N is needed to stop the car

Explanation:

Cinematics and Dynamics

Cinematics describes the variables involved in the movement without dealing with its causes. There are four main concepts in cinematics: Velocity (or its scalar equivalent, the speed), acceleration, time, and displacement (or the scalar equivalent, distance).

The acceleration can be calculated by:

[tex]\displaystyle a=\frac{v_f-v_o}{t}[/tex]

The initial speed is vo=28 m/s, it stops (vf=0) in t=10.5 seconds, thus the acceleration is:

[tex]\displaystyle a=\frac{0-28}{10.5}[/tex]

[tex]a = -2.67~m/s^2[/tex]

The acceleration is negative because the car loses speed.

Knowing the mass of the car m=1950 Kg, we can calculate the net force required to stop the car by using the formula:

F = m.a =1950*2.67

F = 5200 N

An average net force of 5200 N is needed to stop the car

After 4 half-lives, I ended up with 10 gram sample of
Carbon-14. What was the original amount of Carbon-14
that I started with?

Answers

Answer:

80g

Explanation:

The half - life is the time taken for half of radioactive substance to decay to half of its original composition.

After 4 half lives, the carbon - 14 sample is 10grams

 Now let us trace the decay of this substance;

At the 3rd  half life, it will have double the amount at the 4th half life;

                 2 x 10  = 20g

At the 2nd half life, there will be double the amount at the 3rd half life;

                20 x 2  = 40g

Originally, we are going to have;

               40 x 2 = 80g

Why is it possible to see yourself in an object that reflects light, but not in one that scatters light?

Answers

Reflection is when light bounces off an object. If the surface is smooth and shiny, like glass, water or polished metal, the light will reflect at the same angle as it hit the surface. This is called specular reflection. ... Most of the things we see are because light from a source has reflected off it.

Whet net force is required to accelerate a car at a rate of 10 m/s2 if the car
has a mass of 5,000 kg?

Answers

Answer:

[tex]\boxed {\boxed {\sf 50,000 \ Newtons }}[/tex]

Explanation:

Force can be found by multiplying the mass by the acceleration.

[tex]F=m*a[/tex]

The mass of the car is 5,000 kilograms and it's acceleration is 10 meters per square second.

[tex]m= 5,000 \ kg \\a= 10 \ m/s^2[/tex]

Substitute the values into the formula.

[tex]F= 5,000 \ kg * 10 \ m/s^2[/tex]

Multiply.

[tex]F= 50,000 \ kg*m/s^2[/tex]

1 kilogram meter per square second is equal to 1 Newton. So, our answer of 50,000 kg*m/s² is equal to 50,000 Newtons

[tex]F= 50,000 \ N[/tex]

A net force of 50,000 Newtons is required to accelerate a 5,000 kilogram car at 10 meters per square second.

a pulley system with a diameter of 0.5 meters lifts an object 736 meters in 1.05 minutes. how many radians did the pulley move ? how many revolutions did the pulley make ? what was the angular velocity? what was the linear velocity ?

Answers

its b welcome

Explanation:

Making and disposing of synthetic materials affects the amount of natural resources that are available. It also can harm the environment. These problems may not affect us in our lifetime. Who will these problems affect?

Answers

Answer:

What I put- This will affect animals, the earth, and could affect future generations. Plastic also gets into the oceans causing sea creaters die by eating it.

Sample Answer- Problems that arise from the unavailability of natural resources and from environmental hazards will affect the generations that follow us.

Explanation:

Answer:

This will affect animals, the earth, and could affect future generations. Plastic also gets into the oceans causing sea creaters die by eating it.

Explanation:

please help I’m struggling

Answers

Answer:

11025 J

183.75 W

Explanation:

[tex]W=mgh\\W=(75\ kg)*(9.8\ m/s^{2})*(15\ m)\\W=11025\ J\\\\P=work/time\\P=(11025\ J)/(60\ s)\\P=183.75\ W[/tex]

b. If we drop a ball from the roof, its falls
downward​

Answers

Answer:

yes ,what's the question

and if the question is why

then it's for gravity

Answer:

the ball falls downward due to gravity

I need a little help with this

Answers

Answer:

truck 1 has the most velocity

Explanation:

Because it weights less which means it faster and yea

An object is solely influenced by the force of gravity and follows a parabolic path such as a rock thrown into the air. This is known
as what type of motion?
A)
circular
B)
linear
C)
periodic
D)
projectile

Answers

Answer:

B

Explanation:

A person weighs 734 N. What is their mass?

Answers

Answer:

Explanation:

Mass / Weight Converter Definitions. Ounce Avoir. An avoirdupois ounce is equal to 28.349523125 grams. The ounce is commonly used as a unit of mass in the United States and around the World. Ounce Troy. A troy ounce (abbreviation: t oz) is equal to 31.1034768 grams.

Answer:

74.84717

Explanation:

Consider an elevator carrying Kermit the frog weighing 4000.0 N is held 5.00 m above a spring with a force constant of 8000.0 N/m. The elevator falls onto the spring while subject to a frictional force (brake) of 1000.0 N. Determine the maximum compression distance, x, of the spring.

Answers

Answer:

Maximum compression distance (x) = 2.236 m (Approx)

Explanation:

Given:

Weight of frog = 4,000 N

Height = 5 m

Constant force = 8,000 N/m

Frictional force = 1,000 N

Find:

Maximum compression distance (x)

Computation:

Using Law of conservation;

mgh = 1/2(k)(x)²

4,000(5) = 1/2(8,000)(x)²

Maximum compression distance (x) = 2.236 m (Approx)

who is the prime minister of bangladesh ???

Answers

Answer:

Sheikh Hasina is the prime minister of Bangladesh.

Answer:

her name is Sheikh Hasina

The temperature of a substance is 45 C. Convert this to Kelvin.

Answers

Answer:

it will be 318.5 Kelvin

A 615.00 kg race car is uniformly traveling around a circular race track. It takes the race car 20.00 seconds to do one lap around the 80.00 m radius circular track. What is the frequency of the race car's circular motion?

Answers

Answer:

The value is  [tex]f = 0.05 \ Hz[/tex]

Explanation:

From the question we are told that

     The mass of the car is  [tex]m = 615 \ kg[/tex]

      The period of the circular motion is  [tex]T = 20 \ s[/tex]

      The radius  is [tex]r = 80 \ m/s[/tex]

Generally the frequency of the circular motion is  

       [tex]f = \frac{1}{T }[/tex]

=>    [tex]f = \frac{1}{ 20 }[/tex]

=>    [tex]f = 0.05 \ Hz[/tex]

1) A person riding their bike on a nice cloudy day travels 50 meters in 20 seconds.
How fast are they moving?

Answers

Answer:

5.59

Explanation:

50 meters in 10 seconds is 11.18, which is an easy way to remember. Just divided by 2

Which element has a complete valence electron shell?


a selenium (Se)

b oxygen (O)

c fluorine (F)

d argon (Ar)



WILL GIVE BRAINLY FIRST AWNSER

Answers

Answer:

the answer is d.

Explanation:

Argon (Ar) has a complete valence electron shell.

Answer:

d) argon

.............

What did normal mean in the hive in the b movie

Answers

In the movie, "normal" means staying in the hive, working in the honey factory and getting in relationships with any living but no interaction with humans. A life out of the hive and any interaction with humans is strictly prohibited. Picking a job

like real bees do

in summary bees just need to do what there post to do

Answer:

Being Normal mean Submitting to the Conformed society that Barry B Benson wanted to rebel Against so that he didn't have to work the Same Job Everyday to which his father accepted himself into. once Barry had surpassed the Bee Law after speaking with Vanessa they got onto the plane to save all of the Flowers on earth and Save Mankind/Beekind, Barry gets accepted as a Pollen Jock. thus Reaching the end of the movie

What causes volcanoes to form in the middle of plates?

Science, 7th

Answers

Answer:

As a plate sinks deep into a subduction zone, it heats and begins to melt, forming magma. If the magma reaches the surface it can build tall volcanic mountains.

Explanation:

Answer:  " Most volcanoes form along plate boundaries. Volcanoes are common along tectonic plate boundaries where oceanic plates sink beneath other plates. As a plate sinks deep into a subduction zone, it heats and begins to melt, forming magma. If the magma reaches the surface it can build tall volcanic mountains. "

Explanation:

State the equation that links thinking distance, braking distance and stopping distance

Answers

Impulse, F = m • a or F = m • ∆v / t

Which of the following is true about particles of matter?

Answers

What are the possible answers

Answer:

Matter is a substance which has mass and takes up space by volume the properties of matter are,

States of matter (solid,liquid,gas)are inter convertable.

Force of attraction varies from one kind of matter to another.

States of matter can be varied by varying temperature and pressure.

Explanation:

Which of the following would increase the gravitational force of attraction between two objects?
A.-Doubling the mass of both objects, only
B.-Doubling the mass of both objects and doubling the distance between the objects
C.-Doubling the mass of one object and doubling the distance between the objects
D.-Doubling the distance between the objects, only

Answers

Answer:

Doubling the mass of both objects

Explanation:

If you double the mass of both objects, the gravitational force will quadruple, if you move the objects away from each other, the gravitational force will decrease

The gravitational force of attraction is increased by doubling the mass of both objects.

According Newton's law of Universal gravitation force, two objects in the universe attracts each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of distance between them.

[tex]F = \frac{Gm_1 m_2}{R^2}[/tex]

where;

R is the distance between the two objects

Thus, we can conclude that by doubling the mass of both objects or reducing the distance between them, the gravitational force of attraction increases.

Learn more here:https://brainly.com/question/13590473

Help please! I hope the given possibles help

Answers

Answer:

The answer is "[tex]5.184 \times 10^{23}[/tex] kg"

Explanation:

Given:

[tex]g= 6.003 \ \frac{m}{s^2}\\\\G= 6.67 \times 10^{-11} \ \frac{N - m^2}{kg^2}\\\\M=?\\\\radius= 2,400 \ km\\\\[/tex]

Calculating diameter:

[tex]Diameter =radius \times 2[/tex]

                [tex]=24\times 10^5 \times 2\\\\=48 \times 10^5 \ m[/tex]

The formula for mass calculation:

[tex]\to g = G \times \frac{M}{(\frac{d^2}{4})}\\\\\to g=G\times \frac{4M}{d^2}\\\\\to 4M= \frac{g \times d^2}{G} \\\\\to M= \frac{g \times d^2}{4G} \\\\[/tex]

         [tex]=\frac{6.003 \times (48 \times 10^{5})^2}{4 \times 6.67 \times 10^{-11}}\\\\=\frac{6.003 \times 2,304 \times 10^{10}}{26.68\times 10^{-11}}\\\\=\frac{13,830.912 \times 10^{10}}{26.68\times 10^{-11}}\\\\=518.4 \times 10^{21}\\\\= 5.184 \times 10^{23}\\\\[/tex]

What is the minimum number of days per week you should exercise?

Answers

Answer:

Three days per week on average

Explanation:

I'd say 3 days at least to be healthy

2.
Mass of car = 200 kg and g = 10 m/s? or 10 N/kg (approx. value)
position of car
GPE (J) = mgh KE (J) =
GPE + KE
0.5mv2
(height)
60.000
top (30 m) before
ride starts so v=0
Halfway (15 m)
30,000
34 way down (7.5
4,000
m)
bottom(0 m)
0
3.

Answers

That’s a lot of work

What force must be applied to the end of a rod along the x-axis of length 2.25 m in order to produce a torque on the rod about the origin of 11 z-hat N·m? Choose among the available options below. x,y,z,-z

Answers

Answer:

4.9N approx.

Explanation:

Step one:

given data

length of rod r= 2.25m

Required torque = 11 Nm

Required

The force needed to produce a torque of 11Nm

Step two:

"By definition, Torque is the twisting force that tends to cause rotation.

The point where the object rotates is known as the axis of rotation."

Mathematically,

[tex]\tau = rF\sin\theta[/tex]

[tex]\tau[/tex] = torque

r = radius

F = force

[tex]\theta[/tex] = angle between F and the lever arm

in this case is zero

[tex]\tau = rF\\\\F=\tau/r[/tex]

substituting we have

F=11/2.25

F=4.88N

F=4.9N approx.

After food is consumed, chemical nutrients are absorbed into the blood. The blood then carries these nutrients to the body's cells where the nutrients enter mitochondria. Which reaction must occur next for the cell to carry on other activities?

Answers

Answer:b

Explanation:b

please help! i'll give brainliest!!

In a electromagnet that is made up of a D-cell battery with wire wrapped
around an iron nail, the ends of the wire being taped to the battery, what is
the core of the electromagnet?
D battery
wire
tape
iron nail

Answers

Answer:

it right. Its The Iron Nail i just did it and i got correct  (:

Explanation:

The core of the electromagnet if In an electromagnet that is made up of a D-cell battery with wire wrapped around an iron nail, the ends of the wire being taped to the battery is iron nail so, option D is correct.

What is an electromagnet?

A coil surrounding a magnetic core through which an electric current is conducted to magnetize the core is an electromagnet. Wherever controlled magnets are needed, such as in devices where the magnetic flux needs to be adjusted, reversed, or turned on and off, an electromagnet is utilized.

The idea of the magnetic circuit systematizes the engineering design of electromagnets. The ampere-turns of the coil that creates the magnetic field and magnetic flux in the magnetic circuit are known as the magneto motive force F, or Fm, in this context.

Thus, the core is an iron nail.

To know more about electromagnet:

https://brainly.com/question/18566164

#SPJ2


If you are trying to hit a baseball as far as possible, you would want to:

apply a small force over a short time
apply a small force over a long time
apply a large force over a short time
apply a large force over a long time

Answers

Apply a large force over a short time

2. What is the pH of ammonia?

Answers

Answer:

Le pH de l’ammoniac est de 11.6

Explanation:

11.6

Ammonia is moderately basic; a 1.0 M aqueous solution has a pH of 11.6, and if a strong acid is added to such a solution until the solution is neutral (pH = 7), 99.4% of the ammonia molecules are protonated.
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