During takeoff, the sound intensity level of a jet engine is 170 dB at a distance of 40 m. What is the sound intensity level at a distance of 1.0 km?

Answers

Answer 1

Answer:

The sound intensity level at a distance of 1.0 km is 142 dB.

Explanation:

Given;

sound intensity level at 40 m = 170 dB

the sound intensity level of 170 dB in W/m²

[tex]dB = 10Log[\frac{I}{I_o} ]\\\\170 = 10Log[\frac{I}{I_o} ]\\\\17 = Log[\frac{I}{I_o} ]\\\\10^{17} = \frac{I}{I_o}\\\\I = 10^{17} \times \ I_o\\\\I = 10^{17} \times \ 10^{-12} \ W/m^2\\\\I = 10^{5} \ W/m^2[/tex]

To determine the sound at the second distance, apply the following equation of sound intensity.

[tex]I_1r_1^2 = I_2r_2^2\\\\I_2 = \frac{I_1r_1^2}{r_2^2} \\\\I_2 = \frac{(10^5)(40)^2}{(1000)^2}\\\\I_2 = 160 \ W/m^2[/tex]

The second intensity level is calculated as;

[tex]dB = 10Log[\frac{I_2}{I_o} ]\\\\dB = 10Log[\frac{160}{10^{-12}} ]\\\\dB = 142 \ dB[/tex]

Therefore, the sound intensity level at a distance of 1.0 km is 142 dB.


Related Questions

The number of division on vernier scale is 20, Find the least count of the vernier calliper​

Answers

Answer:

0.2 mm

Explanation:

Assuming the Caliper has 1 mm marks on the main scale. Again, we assume that the 20 division coincides with the 16 main scale division, then we can find the least count by saying

For the given Vernier calipers,

Let one main scale division be = 1 mm.

Since there are 20 Vernier scale divisions that happen to be equal to 16 Main Scale Divisions, we can calculate that

1 Vernier Scale Division = 16/20 Main Scale Division

1 Vernier Scale Division = 0.8 mm.

The least count is finally calculated by saying that

Least Count = 1 Main Scale Division - 1 Vernier Scale Division

Least Count = 1 - 0.8

Least Count = 0.2 mm

Therefore, from the assumptions made above, the least count is 0.2 mm

Moving hot air balloon experiences a 30,000 N lift force up and a 30,000 N gravitational force down, what is the resulting motion of the balloon?

Answers

The net force on the balloon is zero, so it has no acceleration. So by Newton's first law, if the balloon has some velocity in a given direction, it will continue moving in that direction at a constant speed. If it's motionless, it stays motionless.

Two long current-carrying wires run parallel to each other and are separated by a distance of 5.00 cm. If the current in one wire is 1.80 A and the current in the other wire is 3.45 A running in the opposite direction, determine the magnitude and direction of the force per unit length the wires exert on each other.

Answers

Answer:

2.48*10^-5 N/m

Explanation:

The magnitude force per unit length on parallel wires separated by a distance D and currents I1 & I2.

F/l = µ.I1.I2/2πd

Where

µ = 4π *10^-7

I1 = 1.80 A

I2 = 3.45 A

d = 5 cm = 0.05 m

F/l = (4π*10^-7 * 1.8 * 3.45) / (2 * π * 0.05)

F/l = (1.2568*10^-6 * 6.21) / 0.3142

F/I = 7.8*10^-6 / 0.3142

F/l = 2.48*10^-5 N/m

Therefore, the magnitude of the force per unit length is 2.48*10^-5 N/m

What is the total distance that the object traveled?

Answers

Answer:

for what?

Explanation:

d=S x T

or

d=vt+1/2at2

srry if wrong but

hope this helps

take care

A car travelled a distance of 200 m with initial velocity of 216 km/hr. Calculate the acceleration
in meters per second of the car if it has a final velocity of 360 km/hr.

Answers

Answer:

[tex]a = 16\ m/s^2[/tex]

Explanation:

When the velocity changes uniformly, the object has a constant acceleration. The acceleration, the velocities, and the distance are related by the equation:

[tex]v_f^2=v_o^2+2ax[/tex]

Where:

vf = final velocity

vo = initial velocity

a = acceleration

x = distance

Solving for a:

[tex]\displaystyle a=\frac{v_f^2-v_o^2}{2x}[/tex]

The car travels a distance of x=200 m and the velocities are:

vo = 216 Km/h

vf = 360 Km/h

Both velocities must be converted to meters by seconds.

vo = 216 Km/h *1000/3600 = 60 m/s

vf = 360 Km/h *1000/3600 = 100 m/s

The acceleration is:

[tex]\displaystyle a=\frac{100^2-60^2}{2*200}[/tex]

[tex]\displaystyle a=\frac{10000-3600}{400}[/tex]

[tex]\displaystyle a=\frac{6400}{400}[/tex]

[tex]\mathbf{a = 16\ m/s^2}[/tex]

What change occurs in a muscle during an eccentric contraction

Answers

Answer:

During an eccentric contraction, when an active muscle, fiber or myofibril is actively stretched, its force increases substantially during the stretch.

During an eccentric contraction, when an active muscle, fiber or myofibril is actively stretched, its force increases substantially during the stretch.

What is the gravitational acceleration close to the surface of a planet with a mass of 9ME and radius of 3RE, where ME and RE are the mass and radius of Earth, respectively?

Answers

Answer:

9.78 m/s²

Explanation:

To solve this, we use the gravitational formula

g = GM/r², where

g = acceleration due to gravity

G = gravitational constant

M = mass of the planet

r = radius of the planet

From the question, we got that the mass of the planet is

M = 9ME, where ME = 5.95*10^24

M = 9 * 5.95*10^24

M = 5.355*10^25 kg

Also, the Radius of the planet, R = 3RE, where RE = 6.37*10^6

R = 3 * 6.37*10^6

R = 1.911*10^7 m

On applying the values of both R and M to the equation, we get

g = GM/r²

g = (6.67*10^-11 * 5.355*10^25) / (1.911*10^7)²

g = 3.57*10^15/3.65*10^14

g = 9.78 m/s²

Therefore, the acceleration due to gravity on the planet is 9.78 m/s²

Please vote brainliest if it helped you <3

More advanced line dances, that requires more intense steps, can be considered


vigorous activity


family activity

moderate activity

high impact activity

Answers

Answer:

Vigorous activity

Explanation:

Vigorous activity

At what distance above the surface of the earth is the acceleration due to the earth's gravity 0.765 m/s^2if the acceleration due to gravity at the surface has magnitude 9.80 m/s^2?answer in meters

Answers

Answer:

1.6441×10^7m

Explanation:

The distance above the surface of the earth can be calculated by finding the difference between the distance between the masses of the object and the radius of the earth which is expressed below

r= RE + h

Where

h=distance above the surface of the earth

r= distance between the masses

RE= radius of the earth= 6.3781×106 m

acceleration due to gravity can be expressed as

(g)= GmE/r^2.

Where r= distance between the masses of object

mE= mass of the earth= 5.972 × 10^24 kg

G =gravitational constant= 6.67×10^-11 m3 s-2 kg-1),

g= acceleration due to the earth's gravity= 0.765

Making r subject of the formula

r=√GmE/g

r=√[(6.67×10^-11) ×5.972 × 10^24 )]/0.765

=√5.207×10^15

=2.282×10^7m

Substitute the values in below expresion

h= r - RE

=(2.282×10^7)-(6.3781×106 m)

=1.6441×10^7m

Hence, distance above the surface of the earth is 1.6441×10^7m

Two asteroids with masses 5.34*10^3 kg and 2.06*10^4 are separated by distance of 5,000 m. What is the gravitational force between the astroids? Newtons law of gravitation is F gravity =Gm1 m2/ r^2. The gravitational constant G is 6.67*10^-11 N*M^2/kg^2

A. 1.4*10^-6N
B.4.00 N
C. 1.24*10^32N
D. 2.93*10^-10N

I NEED HELP ASAP

Answers

The answer is D. 2.93*10^-10N

Answer:

D. 2.93*10^-10N

Explanation:

A.pex

A shear force of 400 N is applied to one face of an aluminum cube with sides of 30 cm. What is the resulting relative displacement? (the shear modulus for aluminum is 2.5x1010N/m2)

Answers

Answer:

5.3 × 10^(-8) m

Explanation:

We are given;

Shear force; F = 400 N

Length of cube; L_o = 30 cm = 0.3 m

Shear modulus; S = 2.5 × 10^(10) N/m²

Now,the resulting relative displacement can be gotten from the formula;

F = A × S × Δx/L_o

Where Δx is resulting relative displacement

A is area.

Area of cube = (L_o)² = 0.3² = 0.09

Thus, making Δx the subject, we have;

Δx = (F × L_o)/(A × S)

Plugging in the relevant values;

Δx = (400 × 0.3)/(0.09 × 2.5 × 10^(10))

Δx = 5.3 × 10^(-8) m

A 60-kg man standing on a scale in an elevator notes that as the elevator rises, the scale reads 818 N. What is the acceleration of the elevator

Answers

Answer:

[tex]a=8.34\ m/s^2[/tex]

Explanation:

Given that,

The mass of a man, m = 60 kg

When the elevator rises, the scale rads 818 N

We need to find the acceleration of the elevator. Let it is a. The equation of motion can be written as :

F - mg = ma

Put g = 9.8 m/s²

[tex]a=\dfrac{F-mg}{m}\\\\a=\dfrac{818-60(9.8)}{60}\\\\=8.34\ m/s^2[/tex]

So, the acceleration of the elevator is [tex]8.34\ m/s^2[/tex]

Two or more waves combining to produce a wave with a smaller displacement is called
What is true of any ferromagnetic material?

Answers

Answer:

Standing Wave

Explanation:

Destructive interference. Occurs when two or more waves combine to produce a wave with a smaller displacements

what happens when bullets factures class??

Answers

Answer:

the students where dided

A sample of Iron has a mass of 46.8 grams and a volume of 6 cm 3. what is the density of iron?

Answers

The answer would be 7.8 g/cm3. Mass/volume= density.

A crate slides down a 35o ramp with constant speed. What is the coefficient of kinetic friction between the crate and the ramp?

Answers

Answer:

0.7

Explanation:

The formula for calculating the coefficient of kinetic friction between the crate and the ramp is expressed as;

η = F/R

F is the frictional force

R is the normal reaction

since F = mgsinθ (Force acting parallel to the ramp)

R = mgcosθ

Substitute into the formula

η = mgsinθ/mgcosθ

η = sinθ/cosθ

η = tanθ

Given

θ = 35°

η = tan35°

η = 0.7

Hence the coefficient of kinetic friction between the crate and the ramp is 0.7

Determine the angle of an incline that would yield a constant velocity, given the coefficient of kinetic friction is 0.10.

Answers

Answer:

[tex]\theta=5.71^{o}[/tex]

Explanation:

In order to solve this problem, we mus start by drawing a free body diagram of the given situation (See attached picture).

From the free body diagram we can now do a sum of forces in the x and y direction. Let's start with the y-direction:

[tex]\sum F_{y}=0[/tex]

[tex]-W_{y}+N=0[/tex]

[tex]N=W_{y}[/tex]

so:

[tex]N=mgcos(\theta)[/tex]

now we can go ahead and do a sum of forces in the x-direction:

[tex]\sum F_{x}=0[/tex]

the sum of forces in x is 0 because it's moving at a constant speed.

[tex]-f+W_{x}=0[/tex]

[tex]-\mu_{k}N+mg sen(\theta)=0[/tex]

[tex]-\mu_{k}mg cos(\theta)+mg sen(\theta)=0[/tex]

so now we solve for theta. We can start by factoring mg so we get:

[tex]mg(-\mu_{k} cos(\theta)+sen(\theta))=0[/tex]

we can divide both sides into mg so we get:

[tex]-\mu_{k} cos(\theta)+sen(\theta)=0[/tex]

this tells us that the problem is independent of the mass of the object.

[tex]\mu_{k} cos(\theta)=sen(\theta)[/tex]

we now divide both sides of the equation into [tex]cos(\theta)[/tex] so we get:

[tex]\mu_{k}=\frac{sen(\theta)}{cos(\theta)}[/tex]

[tex]\mu_{k}=tan(\theta)[/tex]

so we now take the inverse function of tan to get:

[tex]\theta=tan^{-1}(\mu_{k})[/tex]

so now we can find our angle:

[tex]\theta=tan^{-1}(0.10)[/tex]

so

[tex]\theta=5.71^{o}[/tex]

What is Ohm's law? The formula and symbols for them.

Answers

Answer:

V=voltage

I=current

R=resistance

Explanation:

Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points.

A stoplight with weight 100 N is suspended at the midpoint of a cable strung between two posts 200 m apart. The attach points for the cable on the posts are each 15 m above the ground level. The cable is tightened until its tension is 1,000 N. How far is the stoplight attach point above ground

Answers

There are 3 forces acting on the stoplight:

• its weight W, with magnitude W = 100 N, pointing directly downward

• two tension forces T₁ and T₂ with equal magnitude T₁ = T₂ = T = 1000 N, both making an angle of θ with the horizontal, but one points left and the other points right

The stoplight is in equilibrium, so by Newton's second law, the net vertical force acting on it is 0, such that

F = T₁ sin(θ) + T₂ sin(180° - θ) - W = 0

We have sin(180° - θ) = sin(θ) for all θ, so the above reduces to

2T sin(θ) = W

2 (1000 N) sin(θ) = 100 N

sin(θ) = 0.05

θ ≈ 2.87°

If y is the vertical distance between the stoplight and the ground, then

tan(θ) = (15 m - y) / (100 m)

Solve for y :

tan(2.87°) = (15 m - y) / (100 m)

y = 15 m - (100 m) tan(2.87°)

y ≈ 9.99 m

What's the average speed of an object moving 3790 meters in 249 s.

Answers

Heya!!

For calculate velocity, lets applicate formula

                                                 [tex]\boxed{d = v * t}[/tex]

                                               Δ   Being   Δ

                                         d = Distance = 3790 m

                                             t = Time = 249 s

                                             v = Velocity = ?

Let's replace according the formula and clear "v":

[tex]\boxed{v= 3790\ m / 249\ s}[/tex]

⇒ Resolving

[tex]\boxed{ v = 15,22 \ m/s }[/tex]

Result:

The velocity is 15,22 meters per second.

Good Luck!!

is there a net force?

No!

I have no clue

Yes!​

Answers

Answer:

There is NO net force acting on the hanging weight. The net force is ZERO.

Explanation:

If the object (the weight) is NOT moving, and in static equilibrium hanging from the support, that means that the net force on it is ZERO. There are two forces acting, one is that due to gravity and the other one the tension of the string, Both of these forces must be equal in magnitude but pointing in different directions, so they cancel each other.

Calculate the gravitational potential energy of an object with 100 kg as mass, colocated to 40 m of height. (g = 10 m/s^2)

Answers

Hello!!

For calculate the GPE let's applicate the formula:

[tex]\boxed{GPE = m g h}[/tex]

[tex]\textbf{Being:}[/tex]

[tex]\sqrt{}[/tex] GPE = Gravitational potential energy = ?

[tex]\sqrt{}[/tex] m = Mass = 100 kg

[tex]\sqrt{}[/tex] g = Gravity = 10 m/s²

[tex]\sqrt{}[/tex] h = Height = 40 m

⇒ [tex]\text{Then let's \textbf{replace it according} we information:}[/tex]

[tex]GPE = 100 \ kg * 10 \ m / s ^{2} * 40 \ m[/tex]

⇒ [tex]\text{Let's resolve it: }[/tex]

[tex]GPE = 40000 \ J[/tex]

[tex]\textbf{Result:}\\\text{The gravitational potential energy is \textbf{40 000 Joules}}[/tex]

Answer:

What ever, thanks for the points

Explanation:

If the length of a simple pendulum is increased by 4% and the mass is decreased by 4%, the period is:_________ A. not changed. B. increased by 2%. C. decreased by 4%. D. increased by 4%. E. decreased by 2%.

Answers

Answer:

D i think, sorry if i got it wrong

Explanation:

Answer:

Answer B (Increased by 2%)

Explanation:

Recall that the period (T) of a pendulum doesn't depend on the pendulum's mass, but depends on the pendulum's length (L) and on the local acceleration of gravity (g) via the formula:

[tex]T=2\pi\,\sqrt{\frac{L}{g} }[/tex]

There fore, if the length of the pendulum is increased by 4% (0.04 in decimal form), then the new length becomes: L + 0.04 L = 1.04 L

and therefore the period will change by:

[tex]T'=2\pi\,\sqrt{\frac{1.04\,L}{g} } = \sqrt{1.04} \,T\approx 1.02\,T[/tex]

Which means that the period was increased to about 2 % :

T + 0.02 T = 1.02 T

A spherical balloon of volume 3.92 103 cm3 contains helium at a pressure of 1.25 105 Pa. How many moles of helium are in the balloon if the average kinetic energy of the helium atoms is 3.60 10^-22 J?

Answers

Answer:

3.39

Explanation:

Given that

Volume, v = 3.92*10^3 cm³ we convert the volume from cm³ to m³ and we have 0.00392

Pressure, P = 1.25*10^5 Pa

Average Kinetic Energy, K.E = 3.6*10^-22 J

We use the gas law formula,

PV = nRT

Making n subject of the formula, we have

n = PV/RT

Solving for n, we have

n = (1.25*10^5 Pa * 0.00392 m³) / 8.314 * T

n = 4.9*10^8 / 8.314 * T

n = 490 / 8.314T

n = 58.94/T

Note that average kinetic energy is given as

K.E(avg) = 3/2K.T,

3/2 K.T = 3.6*10^-22 J

where K = 1.38*10^-23

T = (3.6*10^-22 J * 2) / (3 * 1.38*10^-23)

T = 17.39

Substitute for T, we have

n = 58.94 / 17.39

n = 3.39

The number of moles of helium that are in the spherical balloon is equal to 3.39 moles.  

Given the following data:

Volume = [tex]3.92 \times 10^3\;cm^3[/tex] to [tex]m^3 = 3.92 \times 10^{-3}\;m^3[/tex]Pressure = [tex]1.25 \times 10^5\;pa[/tex]Average kinetic energy = [tex]3.60 \times 10^{22}\;J[/tex]

Scientific data:

Boltzmann constant (k) = [tex]1.38 \times 10^{-23}\;J/K[/tex]Ideal gas constant, R = 8.314 J/molK

To determine the number of moles of helium that are in the balloon, we we would use the ideal gas law equation;

[tex]n=\frac{PV}{RT}[/tex]   ...equation 1.

Where;

P is the pressure.V is the volume.n is the number of moles of substance.R is the ideal gas constant.T is the temperature.

First of all, we would determine the temperature of the spherical balloon by using this formula:

[tex]T=\frac{2}{3} \frac{K_E}{k} \\\\T = \frac{2}{3}\times \frac{3.60 \times 10^{-22}}{1.38 \times 10^{-23}} \\\\T = \frac{2}{3}\times 26.09\\\\T=17.39\;K[/tex]

Temperature, T = 17.39 K

Substituting the parameters into eqn. 1, we have;

[tex]n=\frac{1.25 \times 10^5\times 3.92 \times 10^{-3}}{8.314 \times 17.39}\\\\n=\frac{490}{144.58}[/tex]

n = 3.39 moles.

Read more: https://brainly.com/question/24031197

A 1200kg car is moving at 17.3 m/s when a force is applied the direction of the car's motion. The car speeds up to 29.4 m/s. If the force is applied for 58s what the magnitude of the force?

Answers

The car undergoes an average acceleration a of

a = (29.4 m/s - 17.3 m/s) / (58 s) ≈ 0.209 m/s²

so the force has a magnitude F of

F = (1200 kg) a250 N

What role does activation energy play in an exothermic reaction?

Answers

Answer A material that decreases the rate of a reaction. The amount of energy that reactants must absorb before a chemical reaction will start also called free energy of activation. What role does activation energy pay in chemical reactions? Activation energy is the energy absorbed before it can start a chemical reaction.

Explanation:

If a 3-kg rock is thrown at a speed of 2 m/s in a gravity-free environment (presuming one could be found), then an unbalanced force of 6 N would be required to keep the rock moving at a constant speed.
Select one:
a. False
b. True

Answers

Answer:

a. False

Explanation:

For an object to be moving at a constant velocity, a net force of 0 N would be required.

Newton's 1st Law of Motion states that an object will remain at rest unless acted upon by an unbalanced force, and an object will remain in motion unless acted upon by an unbalanced force.

Therefore, the unbalanced force of 6 N would not allow the rock to maintain its constant speed.

The answer to this question is A) False.

That's false.

NO FORCE is required to keep an object moving at a constant speed.

When you have two unlike charges in a line – where is the electric field the greatest? Is there ever a point where the field will be zero?

Answers

Answer:

-Electric field will be the greatest at the point where it is closest to it's charges.

- No, there cannot be a point where the field will be zero

Explanation:

Usually, in field lines and vectors, the principle is that: Where the field lines are in a close manner together, the field will be strongest. However, where the field lines are in a manner far apart, the field will be the weakest.

Applying that to our question now it means that the electric field will be the greatest at the point where it is closest to it's charges.

In unlike charges, there can never be a field of zero in between the 2 opposite charges because the field vectors from both unlike charges will point towards the negative charge.

The magnitude of the electric field will be the greatest at the point where it is closest to its charges.

No, there cannot be a point where the field will be zero.

What is an electric field?

The region where an electrostatic force is experienced by a charged entity is known as the electric field at the point.

As per the principle of field lines and vectors, where the field lines are in a close manner together, the field will be strongest. However, where the field lines are in a manner far apart, the field will be the weakest.

As per the above concept, the electric field will be the greatest at the point where it is closest to it's charges. In unlike charges, there can never be a field of zero in between the two opposite charges because the field vectors from both unlike charges will point towards the negative charge.

Thus, we can conclude that there cannot be a point where the field will be zero.

Learn more about electric field here:

https://brainly.com/question/4440057

A large coal fired power plant has an efficiency of 45% and produces net 1,500 MW of electricity. Coal releases 25 000 kJ/kg as it burns so how much coal is used per hour

Answers

Answer:

133.33 kg/s

Explanation:

Calculation for how much coal is used per hour

Using this formula

Coal used per hour=(Net MW of electricity*1,000 / Efficiency%* Released kJ/kg

Let plug in the formula

Coal used per hour=1,500 MW*1,000/0.45*25,000 kJ/kg

Coal used per hour=1,500,000/11,250kJ/kg

Coal used per hour=133.33 kg/s

Therefore how much coal is used per hour is 133.33 kg/s

A heat engine performs (245 + A) J of work in each cycle while also delivering (142 + B) J of heat to the cold reservoir. Find the efficiency of the heat engine. Give your answer in percent (%) and with 3 significant figures.
A=14, B=72

Answers

Answer:

The value is [tex]\eta = 54.4 \%[/tex]

Explanation:

From the question we are told that

    The work input is  [tex]W = ( 245 + A ) \ J[/tex]

     The heat delivered is [tex]Q = (142 + B) \ J[/tex]

      The value of A is  A =  14

        The value of B  is  B  = 72

Generally the efficiency of the heat engine is mathematically represented as

          [tex]\eta = \frac{W}{Q_t}[/tex]

Here  [tex]Q_t[/tex] is the total out energy produce by the heat engine and this is mathematically represented as

           [tex]Q_t= Q + W[/tex]

=>         [tex]Q_t= 245 + A + 142 + B[/tex]

=>         [tex]Q_t= 390 + A+B[/tex]

So

               [tex]\eta = \frac{245 + A }{390 + A+ B}[/tex]

=>          [tex]\eta = 0.544[/tex]

=>          [tex]\eta = 0.544 *100[/tex]

=>          [tex]\eta = 54.4 \%[/tex]

Other Questions
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