in music, two notes are said to be an octave apart when one note is exactly twice the frequency of the other. suppose you have a guitar string playing frequency f0.

Answer:

the advantage gained by the use of a mechanism in transmitting force specifically : the ratio of the force that performs the useful work of a machine to the force that is applied to the machine.

Explanation:

Mechanical advantage is a measure of the force amplification achieved by using a tool, mechanical device or machine system. The device trades off input forces against movement to obtain a desired amplification in the output force. The model for this is the law of the lever.

Answer:

b. they get blown in from colder or warmer areas.

Answer:

Option b.

Hope it helps

The hanging mass will be 0.101 kg.

The formula for calculating the mass of a hanging wire is given as;

m = (π/4) * [(ρL² /Y) * ΔL + L * Δρ]

where; m is the mass of the hanging weight,

            ρ is the density of the wire,

            L is the length of the wire,

            Y is Young's modulus of the wire,

           ΔL is the extension of the wire and

         Δρ is the change in the density of the wire.

In this case,

ρ = 7.86 x 10³ kg/m³L

  = 2.9 mD

  = 0.48 mm

  = 0.48 x 10⁻³ m

  = 4.8 x 10⁻⁴ mY

  = 2.0 x 10¹¹ N/m²ΔL

  = 1.4 x 10⁻³ m

Let US calculate the mass of the wire;

A = (π/4) * D²A

    = (π/4) * (4.8 x 10⁻⁴)²A

    = 1.80955737 x 10⁻⁷ m²ρL

    = 7.86 x 10³ kg/m³ * 2.9m

    = 22.794 kg Y

   = 2.0 x 10¹¹ N/m²m_wire

   = ρLA / Lm_wire

   = 7.86 x 10³ kg/m³ * 1.80955737 x 10⁻⁷ m² / 2.9m

  = 4.9091761 x 10⁻⁴ kg

Let's calculate the mass of the hanging weight using the mass formula.

m = (π/4) * [(ρL² /Y) * ΔL + L * Δρ]

m = (π/4) * [(7.86 x 10³ * 2.9² / 2.0 x 10¹¹) * 1.4 x 10⁻³ + 2.9 * 4.8 x 10⁻⁴]

m = 0.100615775 kg

Therefore, the hanging mass will be 0.101 kg.

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Answer:

both statements are truth

Explanation:

a-The Joule effect, also called Joule's law, is the thermal manifestation of electrical resistance. ... In all these cases, it is intended to generate thermal energy with electricity passing through its conductors. This heat they give off is due to the Joule effect.

b-sure of a liquid tank depends only on the density of the liquid and depth from the free surface. It is a scalar quantity and is same in all directions, at a point.

Answer:

-5.55 m/s^2

Explanation:

To find the acceleration of the bus, we need to use the formula:

acceleration = (final velocity - initial velocity) / time

Here, the initial velocity of the bus is 80 km/hr, the final velocity is 60 km/hr, and the time taken to change the speed is 5 seconds.

First, we need to convert the speeds from kilometers per hour to meters per second, so that we can use the SI unit of acceleration, which is meters per second squared (m/s^2).

80 km/hr = 80 x 1000 m/3600 s = 22.22 m/s

60 km/hr = 60 x 1000 m/3600 s = 16.67 m/s

Now we can substitute the values into the formula:

acceleration = (final velocity - initial velocity) / time

acceleration = (16.67 m/s - 22.22 m/s) / 5 s

acceleration = -5.55 m/s^2

Therefore, the acceleration of the bus is -5.55 m/s^2.

Note that the negative sign indicates that the acceleration is in the opposite direction of the initial velocity.

Answer:

1.2×10¹² kg

Explanation:

from

\(f = \frac{gm1m2 }{r {}^{2} } \)

\(m2 = \frac{fr {}^{2} }{gm1} \)

\(m2 = \frac{1.14 \times (75000 { )}^{2} }{6.67 \times {10}^{ - 11} \times 8 \times {10}^{7} } \)

HENCE M2= 1.2×10¹²kg

Answer:

a. Walking burns up more energy.

b. 1740 kJ

c. This is because more intense exercise releases a lot of energy in a short period of time, whereas, less intense energy releases it energy gradually over a long period of time.

Explanation:

a. We know energy W = Pt where P = power and t = time.

Now for walking, t = d/v where d = distance = 5.00 km and v = speed = 3.00 km/hr and P = 290 W

So, t = d/v = 5.00 km/3.00 km/hr = 5/3 hr = 5/3 × 3600 s = 6000 s

W = Pt = 290 W × 6000 s = 1740000 = 1740 kJ

Now for running, t = d/v where d = distance = 5.00 km and v = speed = 10.00 km/hr

So, t = d/v = 5.00 km/10.00 km/hr = 0.5 hr = 0.5 × 3600 s = 1800 s and P = 700 W

W = Pt = 700 W × 1800 s = 1260000 = 1260 kJ

Since walking burns up 1740 kJ and running burns up 1260 kJ, walking burns up more energy.

b. It burns up 1740 kJ

c. This is because more intense exercise releases a lot of energy in a short period of time, whereas, less intense energy releases it energy gradually over a long period of time.

Answer:

0.2m

Explanation:

F = 6 x 10^3N

k = 3 x 10^4 Nm-1

x = ?

from Hooke's law, F = kx

x = F/k = 6 x 10^3 ÷ 3 x 10^4 = 0.2m

Answer:

Explained below.

Explanation:

Conductors can be defined as materials that permit electricity to flow through them easily.

Now, metals have a molecular structure that makes them good conductors because electrons in the atoms of these conductors tend to move freely from one atom to the other. So a majority of metals make good conductors because these metals tend to hold their electrons loosely. In short, it can help engineers make powerful batteries because then it means that they are capable of giving much more electrical energy since nowadays, advanced batteries make use of ion charges for the batteries.

Answer:

for any object in motion , distance is always greater than displacement

For any object in motion, distance is always greater or equal to the displacement but it can never be less than the displacement because displacement is the shortest distance measured between the initial and the final position.

An object's position changes if it moves in relation to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right in relation to a whiteboard.

Displacement describes this shift in location.

Distance is always higher or equal to displacement for any item in motion, but it can never be less because displacement is the shortest distance between the beginning and end positions.

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The probability of the stops including Boston and Chicago is 1/100 when an airline tracks each of its airplanes' stops for the day.

To calculate the probability of an airplane making stops in both Boston and Chicago, we need to know the total number of possible cities that the airplane can stop in. Let's say there are 10 possible cities.
The probability of the airplane stopping in Boston on any given stop is 1/10 (since there are 10 possible cities). The same goes for Chicago.
To calculate the probability of the airplane stopping in both Boston and Chicago, we need to multiply the probabilities of each stop. So, the probability of the airplane stopping in both Boston and Chicago on any given day is:
1/10 * 1/10 = 1/100

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Answer:

During winter time the northern hemisphere leans away from the sun due to the rotation of earth and due to this change the sunlight is not direct on these areas instead it is spread and due to this the shadows are longer and the sunlight is not intense. The earths rotation around the sun causes the seasons to change and that is why we experience shorter hours of daytime.

Explanation:

During winter time the northern hemisphere leans away from the sun due to the rotation of earth and due to this change the sunlight is not direct on these areas instead it is spread and due to this the shadows are longer and the sunlight is not intense. The earths rotation around the sun causes the seasons to change and that is why we experience shorter hours of daytime.

Answer:

Convection

Explanation:

conduction is like, electricity. radiation is like using a microwave.

Answer:

conduction

Explanation:

recall that conduction is the transfer of heat between objects that come in direcr contact.

You are putting heat directly on the part of the firework that allows it to spark, therefore it is conduction.

Convection takes place within a fluid.

Radiation is indirect heat through waves. (think of the sun warming us indirectly)

Answer:

c electric field is the answer

Given,

The current, I=0.25 A

The total charge flowing in the circuit is q=6812 C.

The electric current can be defined as the time rate of flow of the charges.

Thus, the electric current is given by,

Where t is the time duration.

Thus the batteries will fry out after 27248 s

Answer:

M= mv= 10kg x 37 m/s= 370 Kg x m/s

Answer:

THE ANSWE IS C

81

Explanation:

Answer:

Mechanical energy is constant and it remains the sum of the potential and kinetic energies in a system.  

In the system, we have inverse relation between potential and kinetic energies so it will make mechanical equal

Answer: 1.42 N

Explanation:

Just took

Answer:

A

Explanation:

The ball has traveled 20 meters in a horizontal direction. The outcome is achieved by using the idea of projectile motion.

Just as for speed, "m/s" is the SI unit for velocity. (a) While mobility is just the rate at which a body's displacement changes, speed refers to the pace at which a body's distance traveled changes. While velocities is a vector field and requires both magnitude and orientation to really be described, speed is a rudderless quantity.

dx = dVx × t

dx = 4 m/s × 5 s

dx = 20 m

Hence, the ball has travelled 20 m at the horizontal distance.

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Answer: Scientific Hypothesis

Explanation: A scientific hypothesis is something supported or approved by a line of scientists through experiments and close observations.

Answer:

Her altitude as she crosses the bar, h₂ is approximately 6.1 m

Explanation:

The given parameters of the motion of the pole vaulter are;

The mass of the pole vaulter, m = 57 kg

The speed with which the pole vaulter is running, u = 11 m/s

The speed of the pole vaulter when she crosses the bar, v = 1.1 m/s

The acceleration due to gravity, g = 9.8 m/s²

From the total mechanical energy, M.E. equation, we have;

M.E. = P.E. + K.E.

Where;

P.E. = The potential energy of the motion = m·g·h

K.E. = The kinetic energy of the motion = 1/2·m·v²

By the principle of conservation of energy, we have;

The change (loss) in kinetic energy, ΔK.E. = The change (gain) in potential energy, ΔP.E.

ΔK.E. = 1/2·m·(v² - u²)

ΔP.E. = m·g·(h₂ - h₁)

Where;

h₁ = The ground level = 0 m

h₂ = The altitude with which she crosses the bar

∴ 1/2·m·(v² - u²) = m·g·(h₂ - h₁)

(h₂ - h₁) = (v² - u²)/(2·g) = (11² - 1.1²)/(2·9.8) = 6.11173469388

h₂ = 6.11173469388 + h₁ = 6.11173469388 + 0 = 6.11173469388

h₂ = 6.11173469388

Her altitude as she crosses over the bar, h₂ ≈ 6.1 m.

The emf in the coil when the magnetic field is 50.0 mT is 31.78 V.

What is emf?

According to Faraday's law of electromagnetism, the emf of a coil  

is the negative of the rate of change of magnetic flux with respect to time.

The emf of a coil is given by the formula,

\(E=-\frac{d\phi}{dt}\)

where E is the emf, dΦ is the change in flux and dt is the change in time.

Magnetic flux: The scalar product of the magnetic field B and the total area vector A perpendicular to it is called the magnetic flux. The magnetic flux for a circular coil with n number of turns is given by,

\(\phi=n\pi r^2B\)

where r is the radius of the coil.

Substitute \(\phi=n\pi r^2B\) in the above equation and solve it.

\(E=-\frac{d(n\pi r^2 B)}{dt}\\E=-n\pi r^2 \frac{dB}{dt}\)

Where dB/dt is the rate of change in the magnetic field with respect to time.

Note: 1mT/ms= 1 T/s, 1 cm= 0.01 m and 1mT=0.001 T

Given the magnetic field changes from 10.0mT to 80.0mT, the change in magnetic field dB = 80-10=70mT. The time interval dt= 20.0ms. Therefore,

dB/dt = 70/ 20 =3.5mT/(ms)

dB/dt = 3.5 T/s

Substitute dB/dt= 3.5T/s,  n=400, r=8.5 cm or r=0.085 m in the formula of E and solve it. Since the value of magnitude is positive, ignore the negative sign.

E=400*π*(0.085)^2*(3.5)

E=31.78 V

Since the rate of change of magnetic field is constant, so the magnitude of the emf of the coil will remain the same at all instants. Hence E=31.75 V when the magnitude of the magnetic field is 50.0 T

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Encontramos que la distancia recorrida en los primeros 9 segundos es 288 metros.

Los datos dados son:

El cuerpo tiene una rapidez inicial de 5 m/s

El cuerpo tiene una aceleración de 6 m/s^2

Queremos calcular la distancia recorrida durante los primeros 9 segundos de movimiento.

Lamentablemente no contamos con los gráficos ni las tablas, así que se procede a obtener las ecuaciones de movimiento.

La aceleración será:

a(t) =  6m/s^2

Para la ecuación de la velocidad tenemos que integrar la ecuación de arriba, obteniendo:

v(t) = (6m/s^2)*t  + v0

Donde v0 es la rapidez inicial, que conocemos es igual a 5 m/s, así tenemos:

v(t) = (6m/s^2)*t  + 5m/s

Para la ecuación de la posición debemos integrar nuevamente, así obtendremos:

p(t) = (1/2)*(6m/s^2)*t^2  + (5m/s)*t + p0

Donde la p0 es la posición inicial, la cual podemos definir como p0 = 0m

p(t) = (3m/s^2)*t^2  + (5m/s)*t

Para encontrar la distancia recorrida en los primeros 9 segundos, simplemente debemos remplazar t por 9s en la ecuación de posición:

p(9s) =  (3m/s^2)*(9s)^2  + (5m/s)*9s = 288 m

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Answer:

22.369363 mi/h

Explanation:

Average Speed Calculation - suppose we want to calculate Usain Bolt's average speed during his world record winning 100 m sprint race in Berlin on August 16, 2009. What do we know?

We want to calculate Bolt's average speed

The distance was, of course, 100 meters

Bolt ran the distance in 9.58 seconds.

Bolt ran 11.42 yards per second during the race. Setting meters per second, you get 10.44 mp/s; miles per hour - 23.35 mph; kilometers per hour - 37.58 km/h; etc.

Travel Time Calculation - Suppose, you drove 21 miles with an average speed of 45 miles per hour. How long did you drive?

You traveled 28 minutes.

Distance Calculation - Let's calculate, how many miles you can travel, driving 2 hours and 30 minutes with an average speed of 55 miles per hour?

As you can see, the answer is 137.5 miles or 221.28 kilometers or 119.48 nautical miles, etc.

Assume, V - stands for average speed (velocity), T - stands for traveling time, and D - stands for traveled distance.

Average speed can be calculated by using the formula: V = D/T

The traveled distance can be calculated as D = V*T

Traveling time can be calculated using: T = D/V

Using the formulas remember about the units. For example, if the distance is given in meters and the time is given in seconds, the calculated average speed is given in meters per second. To convert it to other units of measurement, you can use our speed converter. If the distance is given in yards and speed is given in miles per hour, to get time in hours, you HAVE TO convert yards to miles or miles per hour to yards per hour first.

The mirror displacement d is 317.12 nm. In a Michelson interferometer, interference fringes are created due to the interference of two beams of light.

A Michelson interferometer is a device used to measure small changes in the distance between two mirrors. It consists of a beam splitter, two mirrors, and a detector. One beam of light is split into two and travels to the mirrors, where they are reflected back towards the beam splitter. The two beams of light then recombine at the detector, creating an interference pattern.

When one of the mirrors is moved, the interference pattern shifts. The amount of shift depends on the distance moved and the wavelength of the light being used. By measuring the shift in the interference pattern, we can determine the displacement of the mirror.

In this problem, we are given that 250 interference fringe shifts were counted when the mirror was moved a distance d. The wavelength of the light being used is 632.8 nm.

Each interference fringe shift corresponds to a change in the path difference between the two beams of light by one wavelength. So, the total change in the path difference is 250 times the wavelength of the light:

250 × 632.8 nm = 158,200 nm

Therefore, the mirror displacement d is 158,200 nm. However, this displacement is in both directions (i.e., the mirror moved back and forth). To find the displacement in just one direction, we divide by 2:

d = 158,200 nm / 2 = 79,100 nm

Therefore, the mirror displacement d is 79,100 nm in one direction.

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