A guitar string transmits waves at 509 m/s. To create a 491 Hz note, to what length should the guitar player shorten the string? unit= Meters
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You are stationary and you observe a frisbee being thrown out of a car. the car is going 40 m/s to the right. the frisbee is thrown at a speed of 15 m/s (relative to the car) to the right. The frisbee will fly by you at a speed of 55 m/s.

When you observe a frisbee being thrown out of a car that is traveling at 40 m/s to the right and the frisbee is thrown at a speed of 15 m/s to the right relative to the car, the speed of the frisbee relative to you is the sum of the speed of the car and the speed of the frisbee relative to the car.

So, the speed at which you see the frisbee fly by is:

speed = 40 m/s + 15 m/s = 55 m/s

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The workdone by the gravitational force is 7271.6 J.

Work is said to be done when a force moves a body through a certain distance.

To calculate the workdone by gravitational force, we use the formula below

Formula:

Where:

Substitute these values into equation 1

Hence the workdone is 7271.6 J.

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The speed of the water balloon when it hits the ground is approximately equal to 16.4 m/s.

The speed of a freely falling object can be calculated using the equation:

v = √(2 × g × h),

where g is the acceleration due to gravity (9.8 m/s²), and h is the height from which the object is dropped.

In this case, h = 14 m, so substituting the values into the equation, we get:

v = √(2 × 9.8 × 14) = √(2 × 136.4) = √273.2 = 16.4 m/s.

So the speed of the water balloon when it hits the ground is approximately equal to 16.4 m/s.

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The work done by the net force is equal to the force multiplied by the displacement. In this case, the force is 11.4 N and the displacement is 19.3 m (9.2 m - (-10.1 m)).

Therefore, the work done by the net force is 11.4 N × 19.3 m = 218.62 Nm.

To further explore this topic, it is important to understand the concepts of work, force, and energy. Work is the product of force and displacement, and is the energy transferred from a system to its surroundings. Force is an external influence that causes an object to accelerate, and energy is the capacity of a system to do work.

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Julio's planned rate of speed would be 90 km/h (kilometers per hour).

This is calculated by taking the total distance (200 km) divided by the total time (2 hours minus 40 minutes, or 1 hour and 20 minutes). So, 200 km divided by 1.33 hours (1 hour and 20 minutes) is equal to 90 km/h.

Speed is a scalar quantity that measures how quickly an object is moving in a given direction. It is usually measured in units of distance per unit of time, such as miles per hour or meters per second. Speed is calculated by dividing the distance an object travels by the time it takes to travel that distance.

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The current across a drain resistor is the same as the current across the drain to source in a MOSFET because the MOSFET behaves as a voltage-controlled resistor.

A resistor is an electrical component that is used to reduce the flow of current in an electrical circuit. It works by creating electrical resistance, which is measured in ohms. This resistance opposes the flow of current, allowing engineers to control the voltage and current levels in a circuit. Resistors are used in many different types of applications, from controlling the speed of motors to regulating the flow of current in digital circuits.

The resistance of the MOSFET channel is controlled by the voltage applied to the gate. If the gate voltage is increased, the resistance of the channel decreases, allowing more current to flow from the drain to the source. Since the drain resistor is in series with the MOSFET channel, the same current must also flow through the resistor.

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The sphere located at the opposite end of the aluminum rod does not acquire an electric charge.

The presence of a comb, held near one end of the rod, causes electrons from the rod to flow towards the comb due to its negatively charged electrons. This leads to a rearrangement of electrons within the rod, but not to the generation of an electric charge at the other end, which is too distant to be impacted by the comb.

Since both the comb and the rod are made of non-conductive materials, the flow of electrons is restricted and the rearrangement of electrons is limited, thus the sphere remains uncharged.

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Answer:

h=mv^2/mg

h=v^2/g

Explanation:

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Answer:

Answer is in attached photo.

Explanation:

The solution is in the attached photo, do take note for this question, we are making h the subject, and in equations, we can cancel like terms.

The far side of the Moon is the best location for an astronomical radio telescope observatory because it is shielded from most of the radio noise from Earth.

A telescope is an instrument used to observe distant objects by collecting and magnifying electromagnetic radiation (such as visible light, infrared, and ultraviolet radiation). Telescopes come in a variety of sizes and configurations, and are used by astronomers and other scientists to observe the properties of distant stars, galaxies, and other celestial objects. Telescopes are also used by hobbyists and amateur astronomers to observe the night sky. While there are many types of telescopes, the most common are refracting and reflecting telescopes. Refracting telescopes use a combination of lenses to collect and focus light, while reflecting telescopes use mirrors to do the same. Telescopes can also be used to observe the planets in our Solar System, as well as comets and asteroids.

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The total upward force exerted on the vertical sides of the soft drink can that suddenly reduced to essentially zero, (assuming the can to be a cylinder with a height of 11 cm and a diameter of 6.1 cm) due to atmospheric pressure = 2.27 × 10³ N

The can's exterior surface is affected by atmospheric pressure. We must know the complete surface area of the can that is accessible to the air outside the can in order to compute this upward force. The can is a cylinder, and its total surface area is given by the equation:

2πrh + 2πr²

Where,

r = radius

h = height

Hence,

A = {2 (3.14) (3.05) (11)} + 2 (3.14) (3.05)²

= 269.1037

= 0.026 m²

Atmospheric pressure = 101325Pa

= 101325 N/m²

So, the total upward force:

F = P x A

= (101325 × 0.026)

= 2.27 × 10³ N

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The most important difference in development between Isaac Newton's theory of planetary motion and that of Johannes Kepler was the explanation of why planets move in the way that they do.

Kepler's laws of planetary motion were based on extensive observations of the positions of the planets in the sky, and he discovered that planets move in elliptical orbits around the sun, with the sun located at one of the foci of the ellipse.

Isaac Newton, on the other hand, was able to provide a physical explanation for why planets move in elliptical orbits around the sun. Newton's law of universal gravitation stated that all objects in the universe are attracted to each other with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between them.

Using this law, Newton was able to demonstrate that the gravitational attraction between a planet and the sun causes the planet to move in an elliptical orbit.

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The slope is a straight line when the rate constant (lnk) is plotted against the inverse energy of the temperature (kelvin). Where R is a constant equal to 8.314 J/mol-K, the slope's value (m) is equal to -Ea/R.

The bare minimum additional energy needed by a reactive molecule to transform into a product is known as activation energy. The minimal quantity of energy required to activate or energize can also be used to characterize it.

What do threshold energy and activation energy mean?

Threshold energy is the bare minimum of energy required for an effective collision between reactant molecules and product formation. The additional energy needed by the reactants to undergo activation is known as activation energy.

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The wavelength of the light is  939.7 × 10⁻⁹ meter or 939.7 nm.

A diffraction grating is a periodic optical element used in optics that splits light into many beams that move in various directions. A type of structural coloring is the coloration that is emerging.

The  spacing of the slits in the grating is 1.00×10⁻⁶ m.

The angle between the first order diffraction maxima is 70.0°

Let the  wavelength of the light = λ

Hence,

1.00×10⁻⁶ × sin70.0° = 1 ×  λ

λ = 939.7 × 10⁻⁹

Hence, the wavelength of the light is  939.7 × 10⁻⁹ meter or 939.7 nm.

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0.69 J work is required to stretch it from 16 cm to 22 cm

Define work done.

Work is the energy that is transferred when a force is applied to a moving object. The amount of force multiplied by the amount of displacement multiplied by the cosine of the angle between them results in the work that a force produces on an object.

An elastic device known as a spring is used to store mechanical energy and release it in response to the removal of an opposing force. A spring-like object's displacement and spring constant both directly affect how much force is needed to modify the object's length.

F = k Δx

23 N = k (0.28 m − 0.16 m)

k =  191 N/m

W = PE

W = ½ k (Δx)²

W = ½ 191* (0.22 m − 0.16 m)²

W = 0.69 Nm

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Earth's inner movements resemble dynamos and produce the magnetosphere. The magnetosphere of Earth is a dynamic, networked system that reacts to solar, planetary, and interstellar circumstances.

The area surrounding a planet where the magnetic field of the planet is dominant is called a magnetosphere. All of the rocky planets in our solar system have magnetospheres, but Earth's is the strongest. The enormous, comet-shaped bubble that makes up Earth's magnetosphere has been essential to the planet's capacity to support life. This magnetic environment has protected life on Earth from its inception and continues to do so. The magnetosphere protects our planet from solar and cosmic ray radiation as well as the solar wind's steady stream of charged particles that stream off the sun, which may erode the atmosphere.

Due to the convective motion of charged,

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The rotational inertia of the meter stick about the given axis is 0.023 kg m².

What is the rotational  motion?

Rotational motion is a type of motion in which an object or particle rotates around an axis. This type of motion is commonly seen in spinning tops, wheels, and other objects that have a rotating portion.

The rotational inertia of an object depends on its mass distribution and the distance of that mass from the axis of rotation. For a thin rod rotating about an axis perpendicular to its length, the rotational inertia is given by the formula:

[tex]\mathrm{I = (1/12) \times m \times L^2}[/tex]

where I is the rotational inertia, m is the mass of the rod, and L is the length of the rod.

In this case, the length of the meter stick is 1 meter, or 100 cm. The mass of the stick is 0.62 kg. We are interested in the rotational inertia about an axis perpendicular to the stick and located at the 25 cm mark. To find the rotational inertia, we need to consider the mass distribution of the stick relative to this axis.

The stick can be divided into two parts: a 25 cm section from one end, and a 75 cm section from the other end. The 25 cm section has a mass of:

m₁ = (25/100) × 0.62 kg

= 0.155 kg

The center of mass of this section is located at its midpoint, or 12.5 cm from the axis.

The 75 cm section has a mass of:

m₂ = (75/100) × 0.62 kg

= 0.465 kg

The center of mass of this section is located at its midpoint, or 50 cm from the axis.

To find the rotational inertia of the meter stick about the axis at the 25 cm mark, we need to add together the contributions from each section:

[tex]\mathrm{I = I_1 + I_2}[/tex]

where I_1 is the rotational inertia of the 25 cm section and I_2 is the rotational inertia of the 75 cm section.

For the 25 cm section, the distance of its center of mass from the axis is 12.5 cm. Using the formula for the rotational inertia of a thin rod, we get:

[tex]\mathrm{I_1 = (1/12) \times m_1 \times (L_1)^2 }[/tex]

= (1/12) × 0.155 kg × (0.25 m)²

= 0.00114 kg m²

For the 75 cm section, the distance of its center of mass from the axis is 50 cm. Using the formula for the rotational inertia of a thin rod, we get:

[tex]\mathrm{I_2 = (1/12) \times m_2 \times (L_2)^2 }[/tex]

= (1/12) × 0.465 kg × (0.75 m)²

= 0.022 kg m²

Therefore, the total rotational inertia of the meter stick about the axis at the 25 cm mark is:

I = [tex]\mathrm{I_1 + I_2 }[/tex]

= 0.00114 kg m² + 0.022 kg m²

= 0.023 kg m²

So the rotational inertia of the meter stick about the given axis is 0.023 kg m².

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The criteria and the constraints of a project aims to find if the criteria are met by certain standards.

Criteria and constraints can be tested in several ways to ensure that they are being met:

User Acceptance Testing (UAT): This is a testing process that involves end-users to determine if the requirements specified in the criteria and constraints have been met. UAT allows you to verify that the solution meets the needs of the end-users.

System Testing: This is a comprehensive testing process that validates the entire system, including the criteria and constraints. System testing verifies that the system functions as intended and meets the specified requirements.

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The density of the mud should be approximately 1029 kg/m^3 in order for the pressure at point A to be zero.

In order for the pressure at point A to be zero, the pressure at point B must be equal to the pressure due to the weight of the mud column above it. This pressure is given by:

P = ρgh

Since the density of the crude oil is given as 880 kg/m^3. The height of the mud column is given by:

h = P/(ρgh) = 0.1 m/(880 kg/m^3 * 9.81 m/s^2) ≈ 1.14 mm

ρ = P/(g h) = 0.1 m/(9.81 m/s^2 * 0.1 m) ≈ 1029 kg/m^3

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In physics, a photon is a particle of light or electromagnetic radiation. The energy of a photon is the amount of energy that the photon carries. This energy is directly proportional to the frequency of the radiation, and inversely proportional to the wavelength.

The energy of a photon can be calculated using the formula:

E = h * c / λ

where E is the energy of the photon, h is Planck's constant (6.626 x 10^-34 J*s), c is the speed of light (2.998 x 10^8 m/s), and λ is the wavelength of the light in meters.

Converting the wavelength of the laser from nanometers to meters, we get:

λ = 520.0 nm = 520.0 x 10^-9 m

Plugging in the values, we get:

E = (6.626 x [tex]10^{-34}[/tex] J*s) * (2.998 x [tex]10^8[/tex] m/s) / (520.0 x [tex]10^{-9[/tex] m)

E = 3.815 x [tex]10^{-19[/tex] J

Therefore, the energy of each photon of the laser beam is 3.815 x [tex]10^{-19[/tex] J.

To calculate the number of photons emitted per second, we can use the formula:

P = E * f

where P is the power output of the laser in watts, E is the energy of each photon in joules, and f is the frequency of the light in hertz (Hz).

The frequency of the light can be calculated using the formula:

f = c / λ

where c is the speed of light and λ is the wavelength of the light.

Plugging in the values, we get:

f = (2.998 x [tex]10^8[/tex] m/s) / (520.0 x [tex]10^{-9[/tex] m)

f = 5.764 x [tex]10^{14[/tex] Hz

Now we can calculate the number of photons emitted per second:

P = (24.00 W) / (3.815 x [tex]10^{-19[/tex] J/photon) * (5.764 x [tex]10^{14[/tex] Hz)

P = 8.81 x [tex]10^{19[/tex] photons/s

Therefore, the 24.00 watt laser produces a beam of green light with a wavelength of 520.0 nm that contains approximately 8.81 x [tex]10^{19[/tex] photons per second, and each photon has an energy of 3.815 x [tex]10^{-19[/tex] J.

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The maximum value of resistance is 1500kΩ while the minimum value of resistance is 100kΩ.

Given the capacitance of capacitor (C) = 10μF

Let the resistance be = R

Le the time take be = t

We know that the relation between resistance, capacitance and time taken are identified as: T = RC

When capacitance increases, the time it takes for the resistance to be reduced increases. This is because capacitance is the ability of a device to store electrical energy, and as capacitance increases, the amount of energy stored increases, and so it takes longer for the resistance to be reduced.

Given t = 15s, then R = 15/10μF = 1500kΩ

For t = 8s, then R = 8/10μF = 800kΩ

For t = 4s, then R = 4/10μF = 400kΩ

For t = 2s, then R = 2/10μF  = 200kΩ

For t = 1s, then R = 1/10μF  = 100kΩ

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According to the given statement The size of the object is = 0.0002 μm

An object is a discernible grouping of stuff that may move as a unit in three dimensions via translation or rotation and may be contained by a discernible boundary. Irrespective of any other characteristics, every thing has a distinct identity.

The 10x field is equal to 2 mm.  

In order to find out the length of elongated object, we divide the length of 10x diameter with 10 as the elongated object is fitted 10 times.

So, we get 10x/10 = 2 mm /10 = 0.2 mm

To convert this answer into micrometres, we divide it with thousand as 1 mm = 1000 μm

∴ the answer is 0.2×10^-3 μm  = 0.0002 μm

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A metal rod with a diameter of 8.2 centimeters or less could float in water under the given conditions.

The maximum weight that can be supported by surface tension,

W = 2πσcosθd

where, σ is the surface tension between the water and steel (72.8 mn/m)

θ is the contact angle between the steel and water (30 degrees or π/6 radians)

d is the diameter of the rod

Weight of the rod is given by,

W_rod = Vρg

where, V is the volume of the rod

ρ is the density of the steel (8,000 kg/m^3)

The volume is given by:

V = π/4 * d^2 * L

where L is the length of the rod.

Setting W = W_rod,

2πσcosθd = π/4 * d^2 * L * ρ * g

d = √(4σcosθ/ρgL)

d = √(4 * 72.8 × 10^-3 N/m * cos(π/6) / (8,000 kg/m^3 * 9.81 m/s^2 * L))

d = √(6.79 × 10^-6 / L)

Therefore, the diameter of the metal rod that can be made to float depends on the length of the rod. For example, if the length of the rod is 1 meter, then:

d = √(6.79 × 10^-6 / 1) ≈ 0.082 meters or 8.2 centimeters

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The cement bag and the Earth are part of the problem's closed system (including the river). The bag will therefore be travelling at a vertical speed of about 28.0 m/s when it strikes the water.

In construction, cement is a powder that serves as a binding agent. Iron, silicon, calcium, and silicon are its main constituents. Concrete is a commonly used building material for roads, buildings, bridges, and other constructions. Cement is primarily used to harden and bond components like sand, gravel, and water to create concrete. The most popular type of cement, Portland cement, as well as specialty cements like white cement, cement that hardens quickly, and cement that requires little or no heat are all readily accessible on the market. Although cement has significantly aided in the building of contemporary infrastructure, its manufacture has negative environmental effects, including the generation of carbon dioxide, and efforts are being undertaken to find environmentally friendly substitutes.

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No, the student has not done any work on the wall. Work is defined by physics as the transfer of energy from one object to another.

In this case, the student is exerting a force on the wall, but since the wall is not moving, no energy is being transferred and thus no work has been done.

Work is a fundamental concept in physics, and it can help us better understand how objects interact with each other and the environment around them. In a general sense, work is defined as the transfer of energy from one object to another, usually through the application of a force. This means that when a force is applied to an object, work is done on it and the object moves in the direction of the applied force.

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The bathtub on the bottom floor will fill faster assuming frictionless pipes and isothermal flow.

In an isothermal flow, the temperature remains constant and the pressure decreases as the height increases. This means that the pressure at the bottom floor is higher than the pressure at the top floor. As a result, the water will flow more quickly through the pipes to the bottom floor, filling the bathtub there faster.

This can be understood by considering the relationship between pressure and flow rate in a pipe: flow rate is proportional to the pressure difference. In this case, the pressure difference between the top and bottom floors is driving the flow of water, so the bathtub on the bottom floor will fill faster.

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You can implement this logic in Unity using a script that checks the object's slope angle and adjusts its speed accordingly.

To change an object's speed in Unity based on the slope of the surface it's moving on, you can calculate the angle of the slope using the normal vector of the surface. Then, you can adjust the speed of the object by applying a speed multiplier based on the slope angle.

If the angle is less than 90 degrees, the speed multiplier will be greater than 1, making the object move faster downhill. If the angle is greater than 90 degrees, the speed multiplier will be less than 1, making the object move slower uphill.

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Answer: it'S B

Explanation:

Yes, you can see a source of light through a bent tube, but it may appear distorted or refracted due to the bending of the tube.

When light passes through a bent tube, it is refracted or bent due to the change in the refractive index of the medium. As a result, the light rays are redirected and follow a curved path, allowing us to see the source of light through the tube.

The amount of bend or refraction depends on the angle of bend, the type of material the tube is made of, and the wavelength of light. The phenomenon is described by the law of refraction, also known as Snell's law.

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The correct option is E. The time it takes to make 10 revolutions is 5.6 s.

The angular acceleration, alpha = 4 rad/s^2

the number of revolutions, N = 10 rev

the angle covered , theta = N * 2pi = 10 * 2pi rad

theta = 62.8 rad

using the second equation of motion

theta = 0 + 0.5 * 4 * t^2

62.8 = 0 + 0.5 * 4 * t^2

solving for t

t = 5.6 s

the time taken is (e) 5.6 s

A revolution is a fundamental and comparatively surprising alternate in political strength and political organization which occurs when the population revolts against the authorities, typically due to perceived oppression (political, social, monetary) or political incompetence.

Revolutions have taken place during human records and vary extensively in phrases of strategies, length, and motivating ideology. Their effects encompass main changes in culture, economy, and socio-political establishments, normally in reaction to perceived overwhelming autocracy or plutocracy.

Scholarly debates about what does and does not represent a revolution middle on numerous issues. Early research of revolutions on the whole analyzed activities in ecu records from a mental attitude, but more modern examinations encompass global activities and incorporate perspectives from several social sciences, together with sociology and political technological know-how.

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A wheel starts from rest and has an angular acceleration of 4.0 rad/s2. the time it takes to make 10 revolutions is:

group of answer choices

A). 0.50 s

B). 0.71 s

C). 2.2 s

D). 2.8 s

E). 5.6 s

The average acceleration magnitude from 3 to 8 seconds is -4 m/s²

Average acceleration is defined as the rate of change in velocity or change in velocity per unit time. The units of acceleration are the square of distance and time. A symbol with a bar above it is read as an average. So the bar is the average acceleration. Average acceleration is displacement change divided by elapsed time. Instantaneous acceleration is the acceleration at a point in time.

Average acceleration = (v2 - v1) / (t2 - t1) = (0 m/s - 20 m/s) / (8 s - 3 s)

= -20m/s / 5s = -4m/s^2

The average acceleration magnitude from 3 to 8 seconds is -4 m/s²  

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