Two in-phase loudspeakers that emit sound with the same frequency are placed along a wall and are separated by a distance of 8.00 m. A person is standing 12.0 m away from the wall, equidistant from the loudspeakers. When the person moves 3.00 m parallel to the wall, she experiences destructive interference for the second time. What is the frequency of the sound

Answers

Answer 1

Answer: [tex]278\ Hz[/tex]

Explanation:

Given

Distance between two speakers is 8 m

Man is standing 12 away from the wall

When the person moves 3 parallel to the wall

the parallel distances from the speaker become 4+3, 4-3

Now, the difference of distances from the speaker is

[tex]\Delta d=\sqrt{12^2+(4+3)^2}-\sqrt{12^2-(4-3)^2}\\\Delta d=1.85\ m[/tex]

Condition for destructive interference is

[tex]\Delta d=(2n-1)\dfrac{\lambda }{2}=(2n-1)\dfrac{\nu }{2f}\\\\\Rightarrow f=(2n-1)\dfrac{v}{2\Delta d}[/tex]

for second destructive interference; n=2

[tex]\Rightarrow f=(2\times 2-1)\dfrac{343}{2\times 1.85}=278.10\approx 278\ Hz[/tex]


Related Questions

An SUV has a mass of 6000 kg and a compact car has a mass of 2000 kg. They both go around the same unbanked circular curve on the freeway. Bumper to bumper they go with the same speed vo. The centripetal acceleration of the compact car is ao and the centripetal force acting is Fo. The centripetal acceleration of the SUV is _____ ao of the compact car.

Answers

Answer:

Therefore, the centripetal acceleration of the SUV is 3 times ao of the compact car.

Explanation:

FOR SUV:

[tex]ac_{suv} = \frac{mv^2}{r}\\[/tex]

where,

ac_suv = centripetal acceleration of the SUV = ?

m = mass of SUV = 6000 kg

v = speed of SUV = vo

r = radius of path

Therefore,

[tex]ac_{suv} = \frac{6000\ vo^2}{r}\\[/tex]---------------- equation (1)

FOR CAR:

[tex]ao = \frac{mv^2}{r}\\[/tex]

where,

ao = centripetal acceleration of the car = ?

m = mass of car = 2000 kg

v = speed of car = vo

r = radius of path

Therefore,

[tex]ao = \frac{2000\ vo^2}{r}\\[/tex]--------------------- equation (2)

Dividing equation (1) by eq(2):

[tex]\frac{ac_{suv}}{ao} = \frac{6000}{2000}\\\\ac_{surv} = 3ao[/tex]

Therefore, the centripetal acceleration of the SUV is 3 times ao of the compact car.

Particles q1 = +8.0 UC, 92 = +3.5 uc, and

q3 = -2.5 uC are in a line. Particles qi and q2 are

separated by 0.10 m and particles q2 and q3 are

separated by 0.15 m. What is the net force on

particle q2?

Answers

Answer:

-22.3

Explanation:

Acellus

The net force on particle q2 is 21.7 N.

The given parameters:

Charge on particle 1, q1 = 8 μCCharge on particle 2, q2 = 3.5 μCCharge on particle 3, q3 = -2.5 μCDistance between particle 1 and particle 2 = 0.1 mDistance between particle 2 and particle 3, = 0.15 m

The net force on particle q2 is calculated as follows;

[tex]Q_2_{net} = q_{12} \ + \ q_{23}\\\\Q_2_{net} = \frac{kq_1q_2}{r_{12} ^2} \ + \ \frac{kq_2q_3}{r_{23}^2} \\\\Q_2_{net} = \frac{9\times 10^9 \times 8 \times 10^{-6} \times 3.5 \times 10^{-6} }{0.1^2} \ + \ \frac{9 \times 10^9 b\times 3.5 \times 10^{-6} \times (-2.5) \times 10^{-6} }{0.15^2} \\\\Q_2_{net} = 25.2 \ N \ - \ 3.5 \ N\\\\Q_2_{net} = 21.7 \ N[/tex]

Thus, the net force on particle q2 is 21.7 N.

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PLEASE HELPPPPPP <333​

Answers

Answer:

Explanation:

The answer is c. I am very sure

Answer:

i think its b

Explanation:

im not very sure

8.
A
2.0 m
A 1.0 kg box slides without friction around the
loop-the-loop apparatus as shown in the
diagram. If the object starts from rest at point A,
and the radius of the loop is 0.75 m, what is the
speed of the box at point B?

Answers

Answer:

6.26 m/s

Explanation:

From the given information:

Using the conservation of Energy;

M.E at A =M.E at B

[tex]\dfrac{1}{2}mv_A^2 + mgh _A = \dfrac{1}{2}mv_B^2 + mgh_B[/tex]

Replacing the values given in the equation:

[tex](1) (9.8) (2 \ m) +\dfrac{1}{2}(0)^2 = 1 \times 9.8 \times 0 + \dfrac{1}{2}(1) \times v_B^2 \\\\ 19.6 + 0 = 0 + 0.5v_B^2\\ \\ v_B^2 = \dfrac{19.6}{0.5} \\ \\ v_B^2 = 39,2 \\ \\ v_B = \sqrt{39.2} \\ \\ \mathbf{v_B = 6.26 \ m/s}[/tex]


If a force of 20kN acts on a circular rod of diameter 10mm, calculate the stress in the
rod.

Answers

The stress in the  rod is equal to [tex]2.55 \times 10^8\;N/m[/tex]

Given the following data:

Force = 20 kN = 20,000 NewtonDiameter = 10 mm to m = 0.01 meter

To calculate the stress in the  rod:

First of all, we would determine the area of the rod by using this formula:

[tex]Area = \frac{\pi d^2}{4} \\\\Area = \frac{3.142 \times 0.01^2}{4}[/tex]

Area = 0.00007855 meter.

Mathematically, stress is given by this formula:

[tex]Stress = \frac{Force}{Area}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Stress = \frac{20000}{0.00007855} \\\\Stress = 2.55 \times 10^8\;N/m[/tex]

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A gun whose mass is 0.8 kg fires a bullet
whose mass is 0.016 kg with a velocity of
700 ms Calculate the velocity of the gun's
recoil​

Answers

Answer:

14m/s

Explanation:

As per Newton's third law, the momentum of the bullet firing will equal the momentum of the guns recoil:

[tex]m_{g}v_{g} = m_{b}v_{b}[/tex]

(.8)v=(.016)(700)

v=11.2/0.8

v=14m/s

Acceleration is rate of change of
A-Position
B-Time
C-Velocity
D-Speed​

Answers

C-Velocity would be the answer

Positioning a iron core in the middle of a current carrying solenoid creates:
a. A dipole
b. An electromagnet
c. Induced current
d. Mutual inductance
e. A natural magnet

Answers

Answer:

d

Explanation:

middle of a current carrying solenoid creates Mutual inductance

The concept of photons applies to which regions of the electromagnetic spectrum?
A. visible light only
B. infrared light, visible light, and UV light only
C. X-rays and gamma rays only
D. all regions of the spectrum

Answers

Answer:

D. all regions of the spectrum

Explanation:

I did some research ; )

Question /
Which object is shown below?
A. Convex mirror
B. Convex lens
C. Concave lens
D. Concave mirror
SLIDNAT

Answers

The answer is A or D

A 10.0 N package of whole wheat flour is suddenly placed on the pan of a scale such as you find in grocery stores. The pan is supported from below by a vertical spring of force constant 395 N/m. If the pan has negligible weight, find the maximum distance the spring will be compressed if no energy is dissipated by friction.

Answers

Answer:

0.025 m

Explanation:

From the question,

Applying Hook's law

F = ke................... Equation 1

Where F = Force, k = spring constant of the scale, e = maximum distance at which the spring will compress.

make e the subject of the equation

e = F/k....................... Equation 2

Given: F = 10 N, e = 395 N/m

Substitute these values into equation 2

e = 10/395

e = 0.025 m

A girl of weight 500 N climbs on top of a 2.0 m high wall. By how much does her g.p.a increase?

Answers

Answer:

By 1000 joules

Explanation:

Given

[tex]Weight = 500N[/tex]

[tex]Height = 2.0m[/tex]

Required

By how much does her GPA increases

To do this, we simply calculate the potential energy.

[tex]GPE = mgh[/tex]

Where

[tex]mg = Weight = 500N[/tex]

At the ground level, the height is 0

i.e. [tex]h = 0[/tex]

So:

[tex]GPE = 500N * 0 = 0[/tex]

At:

[tex]h = Height = 2.0m[/tex]

So, we have:

[tex]GPE = mgh[/tex]

[tex]GPE = 500N * 2.0m[/tex]

[tex]GPE = 1000J[/tex]

Calculate the difference

[tex]\triangle GPE = 1000J - 0J[/tex]

[tex]\triangle GPE = 1000J[/tex]

Hence, it increases by 1000 joules

If someone replenishes the tree population in a forest ecosystem, how
might this affect the producers already living there?*

Answers

Answer: Increase in competition for abiotic factors.

Explanation: Resource availability is one of the main factors determining the ecological dynamics of populations or species. Fluctuations in resource availability can increase or decrease the intensity of resource competition. Resource availability and competition can also cause evolutionary changes in life-history traits

When putting the ball on the tee you want half of the golf ball to be above the club be below the club be in front of the club be behind the club​

will put brainlest

Answers

5)-5 that would be 100% correct

A golf ball is a unique ball made specifically for the game of golf.

What is Gulf ball?

A golf ball must adhere to specific velocity, distance, and symmetry requirements as well as have a mass of no more than 1.620 oz (45.9 g), a diameter of no less than 1.680 inches (42.7 mm), and no more than 1.620 oz (45.9 g) in total.  

Similar to golf clubs, golf balls must pass testing and approval by The R&A and the United States Golf Association before they can be used in competitions. 

Early in the 20th century, it was discovered that dotting the ball gave the player even more control over the trajectory, flight, and spin of the ball.

Therefore, A golf ball is a unique ball made specifically for the game of golf.

To learn more about Golf ball, refer to the link:

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Help answer question in picture

Answers

The answer is b :)) I’m pretty sure

⦁ A certain resistor is required to dissipate 0.25 W, what standard rating should be used?

Answers

Answer:A

Explanation:

A man stands by a railway track.
A train travelling at 40 m/s takes 2.0 s to pass the man.
What is the length of the train?
40 m
D
80m
A 20m
B 38 m

Answers

Answer:

length of train is 80m

Explanation:

40*2

The diagram represents two charges, q1 and q2 separated by a distanced "d" which change would produce the greatest increase in the electrical force between the two charges?
between the two charges?

Answers

Answer:

The diagram represents two charges, q1 and q2, separated by a distance d. Which change would produce the greatest increase in the electrical force between the two charges? *

Explanation:

doubling charge q1, only

Doubling the charge q would produce the greatest increase in the electrical force between the two charges.

The value of the electrostatic force of interaction between two point charges is directly proportional to the scalar multiplication of the charges and inversely proportional to the square of the distance between them.

How would you define an Electrical force?

The repulsive or attractive interaction between any two charged bodies is called as an electric force. Similar to any force, its impact and effects on the given body are described by Newton’s laws of motion. The electric force is among the list of other forces that exert over objects.

Learn more about Electric force:

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What is the similarity between pushing and lifting? What is the difference?

Answers

Answer:

the similarity is that hands are applied and force

Please answer all three answers

Answers

Answer:

I. The rock that has the most kinetic energy is rock 3.

II. Rock 3 has the most kinetic energy because it weighs the highest among the rocks i.e it has the highest amount of mass. Also, the mass of an object is directly proportional to the kinetic energy possessed by the object; the higher the mass, the higher the kinetic energy.

III. Kinetic energy is taking place rather than potential energy because the rocks are in motion i.e rolling down a hill.

Explanation:

Energy can be defined as the ability (capacity) to do work. The two (2) main types of energy are;

a. Gravitational potential energy (GPE): it is an energy possessed by an object or body due to its position above the earth.

b. Kinetic energy (KE): it is an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

[tex] K.E = \frac{1}{2}MV^{2}[/tex]

Where;

K.E represents kinetic energy measured in Joules.

M represents mass measured in kilograms.

V represents velocity measured in metres per seconds square.

From the above, we can deduce the following;

I. The rock that has the most kinetic energy is rock 3.

II. Rock 3 has the most kinetic energy because it weighs the highest among the rocks i.e it has the highest amount of mass. Also, the mass of an object is directly proportional to the kinetic energy possessed by the object; the higher the mass, the higher the kinetic energy.

III. Kinetic energy is taking place rather than potential energy because the rocks are in motion i.e rolling down a hill.

4. Which of the following accurately pairs the part of an atom to its charge?
O A. Neutron-positive charge
O B. Electron-negative charge
O C. Proton-no charge
O D. Electron-no charge​

Answers

Answer:

B Electrons are negatively charged while protons are positively charged

3. Jose and Luke raced as they climbed to the top of the bleachers. Jose reached the top in 12.6 s and
Luke reached the top in 13.3 s. Jose and Luke have the same mass,
Who did more work?
How do you know?
Who had more power?
How do you know?

Answers

Answer:

jose

Explanation:

Jose run faster and did more work

because the time Jose took to accomplish the activity is less than Luke

both

both have same mass

The work done by both Jose and Luke is same because the change in potential energy is same.

The power of Jose  is greater than than of Luke  because Jose takes less time to do the same work.

What is power?

Power is defined in physics as the amount of energy transferred or converted per unit time. The watt is the unit of power in the International System of Units, equal to one joule per second. Power is sometimes referred to as activity in older works. A scalar quantity is power.

Let the mass of each of them is m.

Hence, work done by each of them = mgh ( same for both of them)

As Jose reached the top in 12.6 s and Luke reached the top in 13.3 s.

Power of Jose  = mgh/12.6

Power of Luck = mgh/13.3

Hence, Power of Jose is greater than Power of Luck.

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Ac soucre change it polarity how many time

Answers

Alternating current (AC) flows half the time in one direction and half the time in the other, changing its polarity 120 times per second with 60-hertz current.

5. What is the period of a vertical mass-spring system that has an amplitude of
71.3 cm and maximum speed of 7.02 m/s? The spring constant is 12.07 N/m.

Answers

The period of the vertical mass-spring is 0.64 s.

The given parameters:Amplitude of the spring, A = 71.3 cm Maximum speed of the spring, V = 7.02 m/sSpring constant, k = 12.07 N/m

The angular speed of the vertical mass-spring is calculated as follows;

[tex]V_{max} = A \omega\\\\\omega = \frac{V_{max}}{A} \\\\\omega = \frac{7.02}{0.713} \\\\\omega = 9.85 \ rad/s[/tex]

The period of the vertical mass-spring is calculated as follows;

[tex]f = \frac{\omega }{2\pi} \\\\T = \frac{1}{f} \\\\T = \frac{2 \pi}{\omega } \\\\T = \frac{2\pi }{9.85} \\\\T = 0.64 \ s[/tex]

Thus, the period of the vertical mass-spring is 0.64 s.

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how is the medium of a wave and transmit of a wave similar and different?

plssss I really need helpppp

Answers

Answer:

Sound and light are similar in that both are forms of energy that travel in waves. They both have properties of wavelength, freqency and amplitude. Here are some differences: Sound can only travel through a medium (substance) while light can travel through empty space.

Which sentence best explains the law of conservation of mass as applied to
chemical reactions?
A. The amount of mass changes only slightly during a chemical
reaction.
B. The volumes of the reactants and products are equal during a
chemical reaction.
C. The types of atoms can change during a chemical reaction, but
their masses cannot.
D. In a chemical reaction, the total mass of the reactants equals the
total mass of the products.

Answers

Answer:

A. The amount of mass changes only slightly during a chemical

reaction.

Why is it that when riding in a car, you don't feel like you're moving?

Answers

This may shock you:

We NEVER feel speed, velocity, or motion, as long as it's constant.

We only feel CHANGES in speed, velocity, or motion.

That means speeding up, slowing down, or changing direction.

As long as we're moving in a straight line at a constant speed, we don't feel anything.

In 1960, the US Navy sent the submersible Trieste to the bottom of the Marianas Trench 11,000m deep. What was the force on the small 15cm diameter circular viewing window?

Answers

Answer:

P = d g h         pressure = density * g * depth

P = 1000 kg/m^3 * 9.8 m / s^2 * 1.1 * 10E4 m = 1.1 * 10E8 N/m^2

F = P * A = 1.1 * 10E8 N/m^2 * pi * .075^2 / m^2 = 1.9 * 10E6 N/m^2

In Figure (a), both batteries have em - 1.20 V and the external resistance R is a variable resistor. Figure (6) gives the electric potentials V between the terminals of each battery as functions of
Curve 1 corresponds to battery 1, and curve 2 corresponds to battery 2. The horizontal scale is set by R, -0.500 . What is the internal resistance of (a) battery 1 and (b) battery 2?
0.60
V(V)
0
-0.350
(
R(0)
(6)

Answers

Answer:

i know da way ese'

Explanation:

A 1,571 kilogram car travelling at 129 kilometers per hour is driving down a highway. The driver suddenly realizes a large animal is standing stationary on the highway in the way of the car. The driver manages to release their foot off the accelerator peddle, but does not have time to hit the brake peddle. The car strikes the animal which gets stuck to the car hood. Immediately after the collision the car slows to 59 kilometers per hour. Given this information, accident investigators are able to determine the mass of the animal as what

Answers

Answer:

[tex]1863.9\ \text{kg}[/tex]

Explanation:

[tex]m_1[/tex] = Mass of car = 1571 kg

[tex]u_1[/tex] = Initial velocity of car = 129 km/h

[tex]u_2[/tex] = Initial velocity of the animal = 0

[tex]v[/tex] = Velocity of combined mass = 59 km/h

[tex]m_2[/tex] = Mass of the animal

As the momentum of the system is conserved we have

[tex]m_1u_1+m_2u_2=(m_1+m_2)v\\\Rightarrow \dfrac{m_1u_1+m_2u_2}{v}-m_1=m_2\\\Rightarrow m_2=\dfrac{1571\times 129+0}{59}-1571\\\Rightarrow m_2=1863.9\ \text{kg}[/tex]

The mass of the animal is [tex]1863.9\ \text{kg}[/tex].

Other Questions
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