At the instant that a cake is removed from the oven, the temperature of the cake is 350 degrees F. After 10 minutes, the cake's temperature is 200 degrees F. If the temperature of the room is 70 degrees F, how much longer will it take for the cake to cool to 90 degrees F?

Answer:

v= 50 m/s

λ(wavelength)= 12.5 m

Explanation:

1.

The formula that relates these three quantities is:

v = f * λ

This means that the wave velocity is equal to the product of the frequency and the wavelength. The wavelength is the distance between two consecutive crests or troughs of a wave. The frequency is the number of waves that pass a fixed point in one second.

If we are given the initial wave velocity and frequency, we can find the initial wavelength by rearranging the formula:

λ = v / f

Plugging in the given values, we get:

λ = 50 / 2 λ = 25 m

This means that the initial wavelength of the wave on the slinky is 25 m.

If we shake the slinky at different frequencies, we can measure the wave velocity and plot it against the frequency. To find the wave velocity for each frequency, we can use the same formula:

v = f * λ

However, since the wavelength will change as we change the frequency, we need to measure it for each frequency as well. For example, if we shake the slinky at 4 Hz, and measure the wavelength as 12.5 m, then the wave velocity is:

v = 4 * 12.5 v = 50 m/s

We can repeat this process for different frequencies and wavelengths, and plot the points on a graph. The graph should show a linear relationship between v and f, with a slope equal to λ. The graph should look something like this:

graph of v vs f

The graph shows that as the frequency increases, so does the wave velocity, and vice versa. The wavelength is constant for each point, and it is equal to the slope of the line. For example: at f = 2 Hz, v = 50 m/s, and λ = 25 m. At f = 4 Hz, v = 50 m/s, and λ = 12.5 m. At f = 6 Hz, v = 75 m/s, and λ = 12.5 m.

(graph in the attachment)

2.

The formula that relates these three quantities is:

v = f * λ

This means that the wave velocity is equal to the product of the frequency and the wavelength. The wave velocity is the speed at which the wave travels along the slinky. The wavelength is the distance between two consecutive crests or troughs of a wave. The frequency is the number of waves that pass a fixed point in one second.

If we are given the initial wave velocity and we shake the slinky at different frequencies, we can measure the wavelength and plot it against the frequency. To find the wavelength for each frequency, we can rearrange the formula:

λ = v / f

Plugging in the given value of v and different values of f, we can find λ. For example, if we shake the slinky at 2 Hz, then the wavelength is:

λ = 50 / 2 λ = 25 m

If we shake the slinky at 4 Hz, then the wavelength is:

λ = 50 / 4 λ = 12.5 m

We can repeat this process for different frequencies and wavelengths, and plot the points on a graph. The graph should show an inverse relationship between λ and f, with a constant value of v. The graph should look something like this:

graph of λ vs f

The graph shows that as the frequency increases, the wavelength decreases, and vice versa. The wave velocity is constant for each point, and it is equal to the product of λ and f. For example, at f = 2 Hz, λ = 25 m, and v = 50 m/s. At f = 4 Hz, λ = 12.5 m, and v = 50 m/s. At f = 6 Hz, λ = 8.33 m, and v = 50 m/s.

(graph in the attachment)

When a teacher walking at a speed of 1.5 m/s drops a piece of chalk, from the teacher's perspective. This is because the chalk initially has the same horizontal speed as the teacher (1.5 m/s) due to their combined motion.

Assuming that there is no wind or other external factors affecting the motion of the chalk, from the teacher's perspective, the chalk will appear to fall straight down. This is because the teacher is walking at a constant speed and is not changing direction, so their perspective of gravity's pull on the chalk is the same as if they were standing still. Therefore, the chalk will follow a vertical path towards the ground, with no horizontal component. It is important to note that this perspective is relative to the teacher's motion expression; if an observer were standing still outside of the teacher's frame of reference, they would see the chalk falling diagonally due to the combination of gravity and the teacher's forward motion. However, in this scenario, we are only considering the teacher's perspective. In conclusion, the chalk will appear to fall straight down from the teacher's point of view, despite the fact that the teacher is walking at a speed of 1.5 m/s. This is because the teacher's motion does not affect the vertical component of the chalk's motion.

Learn more about  expression here

https://brainly.com/question/29747157

#SPJ11

The statement "Damping is never desirable" is false. Damping is not always undesirable, but it depends on the specific application. Damping is a process of dissipating energy from a system, typically through the use of a damping force or material.

In some cases, damping is desirable to reduce or eliminate unwanted vibrations, noise, or oscillations. For example, shock absorbers in cars are designed to dampen the vibrations caused by the car's suspension system, which improves ride comfort and handling.

However, in other cases, damping can be undesirable, such as in mechanical systems where energy needs to be conserved, or in musical instruments where the quality of the sound depends on the level of damping.

Therefore, the desirability of damping depends on the specific application and the performance requirements of the system.

To know more about the Damping refer here :

https://brainly.com/question/30891056#

#SPJ11

To calculate the energy stored in the capacitor, you can use the formula:
Energy (E) = 0.5 * Capacitance (C) * Voltage (V)^2

To determine how much energy was stored in the capacitor during the time it was tested, you will need to know the capacitance value of the capacitor and the voltage across it. In this case, you mentioned the voltage across the parallel portion of the circuit is 50 mV. However, the capacitance value is not provided.
To calculate the energy stored in the capacitor, you can use the formula:
Energy (E) = 0.5 * Capacitance (C) * Voltage (V)^2
Assuming you have the capacitance value (in farads) and the voltage (in volts), you can plug in the values into the formula and find the energy stored in the capacitor (in joules).

Learn more about energy at

brainly.com/question/1932868

#SPJ11

The flux through the hoop is (e) 9.0 × 105 Nm²/C when a square hoop with sides of length 3.0m is in a uniform electric field with magnitude 1.0 Ã 105 N.

The flux through a surface is defined as the electric field passing through the surface multiplied by the area of the surface. In this case, the surface is a square hoop with sides of length 3.0m and a normal perpendicular to the uniform electric field of magnitude 1.0 × 105 N/C.
Since the electric field is perpendicular to the surface, the flux through the hoop is simply the product of the electric field and the area of the hoop. The area of the hoop is given by A = L², where L is the length of a side of the square hoop. Therefore, the area of the hoop is A = (3.0m)² = 9.0m².
The flux through the hoop is then given by Φ = E * A, where E is the magnitude of the electric field. Substituting the given values, we get:
Φ = (1.0 × 105 N/C) * (9.0m²) = 9.0 × 105 Nm²/C
Therefore, the answer is (e) 9.0 × 105 Nm²/C.

Learn more about electric field :

https://brainly.com/question/15800304

#SPJ11

The order of the reaction with respect to that reactant is two.

The order of the reaction with respect to the reactant can be determined using the relationship between the rate of the reaction and the concentration of the reactant. In this case, the concentration of the reactant is tripled, and the reaction rate increases nine-fold.

To find the order, we can use the equation:

Rate₂ / Rate₁ = (Concentration₂ / Concentration₁)ⁿ, where n is the order of the reaction with respect to the reactant.

Given that the concentration is tripled, Concentration₂ = 3 * Concentration₁.

Additionally, the reaction rate increases nine-fold, so Rate₂ = 9 * Rate₁.

Substitute these values into the equation:
(9 * Rate₁) / Rate₁ = (3 * Concentration₁ / Concentration₁)ⁿ

Since Rate₁ and Concentration₁ are constants, we can cancel them out:
9 = 3ⁿ

By trying different values of n, we can determine that n = 2 satisfies the equation:
3² = 9

Therefore, the order is two.

Learn more about reactant:

https://brainly.com/question/6421464

#SPJ11

Marianne should add 363.2 g of ice at 0∘C to the coffee to cool it to 38∘C.

To solve this problem, we need to use the equation for heat transfer:

Q = mcΔT

where Q is the heat transferred, m is the mass of the substance, c is the specific heat capacity of the substance, and ΔT is the change in temperature.

First, we can calculate the heat lost by the coffee as it cools from 90 ∘C to 38 ∘C:

Q1 = mcΔT

Q1 = (210 mL) x (1 g/mL) x (4.18 J/(g⋅K)) x (52 K)

Q1 = 45581.2 J

Next, we need to calculate the heat gained by the ice as it melts and warms up to 0 ∘C:

Q2 = mcΔT

Q2 = (m x 1 kg) x (334 J/g) x (0 K to 0 ∘C)

Q2 = 0 J

We can ignore the heat required to bring the ice to its melting point, since this is offset by the heat released when the ice melts. Therefore, the total heat transferred will be:

Q = Q1 = Q2

45581.2 J = (m x 1 kg) x (334 J/g) x (0 ∘C to 38 ∘C)

m = 363.2 g

Note that we assumed that the heat lost by the coffee is equal to the heat gained by the ice, and that the final temperature is equal to the melting point of ice (0 ∘C).

Report: Marianne should add 363.2 g of ice at 0∘C to the 210 mL of coffee at 90 ∘C to obtain a final temperature of 38 ∘C.

Learn more about temperature here:

https://brainly.com/question/15267055

#SPJ11

Stephan has not proven his point as the force of gravity is the same on both pieces of paper, regardless of whether one is crumpled or not. The crumpled paper falls faster due to the change in air resistance.

Stephan's experiment is flawed as he did not account for the effect of air resistance on the falling paper. When a piece of paper is crumpled, it creates a rough surface that disturbs the air flow around it, resulting in a higher air resistance than that of a flat piece of paper.

The increased air resistance causes the crumpled paper to fall faster than the flat paper, even though both are subject to the same gravitational force.

Therefore, Stephan's conclusion that the force of gravity is stronger on the crumpled paper is incorrect, and his experiment does not prove his point. This is a well-established scientific concept, first demonstrated by Galileo in the 16th century.

For more questions like Force click the link below:

https://brainly.com/question/13191643

#SPJ11

The frequency of the sound heard by Amy is less than the frequency of the sound heard by Zach. Hence, option C is correct.

The sound is traveled in the form of waves and the sound wave requires a medium to propagate. The frequency of sound detected by the observer whom the source is approaching is higher than the frequency emitted by the source.

The frequency of sound detected by the observer whom the source is receding than the frequency emitted by the source. The frequency of the sound heard by Amy is less than Zach.

Hence, the ideal solution is option C.

To learn more about the frequency of sound:

https://brainly.com/question/14233442

#SPJ4

The correct option is c. water and wind. Water and wind are the two elements that weather rocks by smoothing them.

Water can erode rocks through the action of running water, such as rivers and streams, which can wear away rock surfaces over time. Wind can also weather rocks through the process of abrasion, where small particles carried by the wind can impact and wear away rock surfaces, leading to smoothing and shaping of the rocks. Water is a natural element that plays a vital role in weathering and shaping the Earth's surface. It exists in various forms such as oceans, rivers, lakes, and rain. Water can cause physical and chemical weathering of rocks and minerals. Mechanical weathering by water occurs through processes like erosion, where running water wears away rocks and transports sediment downstream. The force of water can break rocks into smaller pieces, smooth their surfaces, and shape them into various formations such as river valleys, canyons, and waterfalls. Additionally, freeze-thaw cycles contribute to water weathering as water seeps into cracks and freezes, expanding and exerting pressure on the surrounding rock.

Learn more about weather rocks here:

https://brainly.com/question/30868115

#SPJ11

As a 70-kg person stands at the seashore gazing at the tides (which are caused by the Moon, The mass of the Moon is 7.35 x 10²² kg, the distance to the Moon is 3.82x10⁸ m, and G- 6.67x10⁻¹¹ N* m²/kg². The gravitational force on that person due to the Moon is (c) 0.0024 N.

The gravitational force on the person due to the Moon can be calculated using the formula:

F = G * (m1 * m2) / r²

where G is the gravitational constant, m1 is the mass of the person, m2 is the mass of the Moon, and r is the distance between the person and the Moon.

Plugging in the given values, we get:

F = 6.67x10⁻¹¹ * (70 kg) * (7.35x10²² kg) / (3.82x10⁸ m)²

F = 0.0024 N

Therefore, the gravitational force on the person due to the Moon is 0.0024 N. Answer (c) is correct.

To know more about the gravitational force refer here :

https://brainly.com/question/29190673#

#SPJ11

If a wave has a large amplitude, it means that the wave is characterized by a greater degree of displacement from its resting position.

This displacement of the wave results in a higher energy level, and this increase in energy can be translated into a larger sound volume. In other words, if a wave has a large amplitude, we would expect to hear a sound that is louder or more intense than a wave with a smaller amplitude. This is because the displacement of the wave causes more air particles to vibrate, which in turn produces a higher pressure wave. This higher pressure wave then reaches our ears, causing our eardrums to vibrate more strongly and resulting in a perceived increase in sound volume.

In addition to increased volume, a wave with a large amplitude may also be characterized by a different tone or pitch than a wave with a smaller amplitude. This is because the frequency of the wave (the number of cycles it completes per second) can also impact the sound produced. However, regardless of the specific characteristics of the sound produced by a wave with a large amplitude, the primary factor that we would expect to observe is an increase in volume or intensity.

Learn more about  wave here: https://brainly.com/question/29767263

#SPJ11

The speed of the fast train cannot be determined from the information given.

The beat frequency that an observer hears when two trains are approaching each other is caused by the Doppler effect. As the trains move towards each other, the sound waves they produce are compressed, resulting in a higher frequency of sound waves reaching the observer's ear. Conversely, as the trains move away from each other, the sound waves are stretched, resulting in a lower frequency of sound waves reaching the observer's ear. The beat frequency is the difference between these frequencies.

To calculate the speed of the fast train, we need additional information, such as the speed of the slow train, the frequency of the sound waves produced by the slow train, and the wavelength of the sound waves. Without this information, we cannot determine the speed of the fast train. Therefore, the speed of the fast train cannot be determined from the information given.

Learn more about fast train

brainly.com/question/26866187

#SPJ11

The equivalent resistance of the two 10-ohm resistors connected in parallel is 5 ohms.

When two resistors are connected in parallel, the equivalent resistance can be calculated using the formula:

1/R_total = 1/R1 + 1/R2

In this case, both resistors have a resistance of 10 ohms (Ω). So, we can plug the values into the formula:

1/R_total = 1/10 + 1/10

To find the equivalent resistance, we'll first calculate the sum of the fractions:

1/R_total = 2/10

Now, we can find the reciprocal of this fraction to get the equivalent resistance:

R_total = 10/2

R_total = 5 Ω

Remember, when resistors are connected in parallel, the equivalent resistance is always less than the individual resistances, as there is more than one path for the current to flow through, effectively reducing the overall resistance in the circuit.

Know more about resistors here:

https://brainly.com/question/24297401

#SPJ11

When measuring the angle of reflection when the ray is incident on either side of the normal to the surface of the mirror, it provides several advantages.

Firstly, it allows for a more accurate measurement of the angle of reflection, which is crucial in determining the path and direction of light rays. Additionally, it provides a better understanding of how the angle of incidence affects the angle of reflection.

This can be useful in various applications such as designing mirrors, lenses, and optical instruments. Furthermore, measuring the angle of reflection from both sides of the normal allows for a better understanding of the law of reflection and its applications.

Overall, measuring the angle of reflection from both sides of the normal provides a more comprehensive understanding of light and its behavior, which can be applied in a wide range of fields such as physics, engineering, and optics.

To learn more about : reflection

https://brainly.com/question/31487715

#SPJ11

To produce non-accelerated motion, an additional force of 200N is needed, exerted in the backward direction to balance the net force (600N - 400N = 200N).

When two horizontal forces are exerted on a cart, 600N forward and 400N backward, the cart undergoes acceleration. To produce nonaccelerated motion, the additional force needed would be equal and opposite to the net force acting on the cart. In this case, the net force is 200N forward (600N forward - 400N backward), so an additional force of 200N backward would be needed to produce nonaccelerated motion.

More on nonaccelerated motion: https://brainly.com/question/14363393

#SPJ11

The isothermal flow of compressible gas in a horizontal pipeline converts pressure energy to kinetic energy, which is lost due to friction from pipeline walls and fittings. hence the answer is T (true)

Isothermal flow refers to the condition where the gas flowing through the pipeline maintains a constant temperature. In this case, some of the gas's pressure energy is converted to kinetic energy as it accelerates through the pipeline due to the pressure difference. The kinetic energy of the gas is then converted back to pressure energy as the gas encounters resistance from the pipeline walls and fittings, and the gas slows down.

The energy lost in this process is referred to as frictional losses and is due to the resistance of the pipeline walls and fittings to the flowing gas. This resistance converts some of the gas's kinetic energy into heat, which is then dissipated into the surrounding environment.

Additionally, the gas's kinetic energy can change due to changes in its velocity, which can occur as a result of variations in the pipeline's diameter or shape. These changes in kinetic energy also result in pressure changes in the gas, which must be accounted for in order to accurately predict the behavior of the gas flow.

In summary, the pressure energy of a compressible gas in a horizontal pipeline is consumed in overcoming frictional losses and changes in kinetic energy due to variations in the pipeline's diameter or shape, which can result in pressure changes in the gas. Therefore the correct answer is T (true).

Learn more about Isothermal flow

brainly.com/question/31422071

#SPJ11

Imagine standing at the edge of a calm ocean, holding a buoyant ball in your hand. You toss the ball into the water, and it begins to float away from you. As the ball moves away, you notice that it bobs up and down with the waves, but it does not move in the same direction as the waves.

This scenario demonstrates that waves carry energy, not matter. The ball is made up of matter, and it floats on the surface of the water. However, the waves that pass through the water are made up of energy, not matter. When the waves encounter the ball, they transfer some of their energy to the ball, causing it to bob up and down.

The ball itself is not being carried along by the waves, but is instead being influenced by the energy of the waves as they pass through the water. This is why waves are often described as a disturbance that travels through a medium, rather than as a physical object that moves through space.

In summary, the scenario of a buoyant force ball floating on the surface of the ocean and being influenced by passing waves is a clear example of how waves carry energy, not matter.

Learn more about buoyant force here:

https://brainly.com/question/21990136

#SPJ11

To determine how fast the object is moving, we need to use the formula for kinetic energy: the object is moving at a speed of 2.28 meters per second. Kinetic energy is a form of energy that an object possesses due to its motion.

Kinetic energy = (1/2) x mass x velocity^2

We know the kinetic energy is 330 J and the mass is 127 kg, so we can rearrange the formula to solve for velocity:

Velocity^2 = (2 x kinetic energy) / mass

Velocity^2 = (2 x 330 J) / 127 kg

Velocity^2 = 5.21 m^2/s^2

To find the velocity, we take the square root of both sides:

Velocity = sqrt(5.21 m^2/s^2)

Velocity = 2.28 m/s

This means that when an object's velocity rises, its kinetic energy also does so, increasing the difficulty of stopping or slowing it down. Similar to this, as an object's mass grows, so does its kinetic energy, therefore larger things travelling at the same speed will have more kinetic energy than smaller items. Being a scalar quantity, kinetic energy has magnitude but no direction. Additionally, it is a conserved number, which means that even while kinetic energy may be moved among many system components, it always remains constant in closed systems.

Learn more about kinetic energy here:

https://brainly.com/question/26472013

#SPJ11

The velocity of the metal spherical immediately before it hits the sand surface is 0.63 m/s.

Use the principle of conservation of energy to find the velocity of the metal sphere just before hitting the surface of the sand.

The potential energy (PE) of the metal sphere at a height of 1.2 meters above the surface of the sand is given by:

PE = mgh

where m = mass of the sphere, g = acceleration due to gravity (9.8 m/s²), and h = height from which the sphere was dropped.

PE = (0.1 kg)(9.8 m/s²)(1.2 m) = 1.176 J

Assuming no energy is lost due to friction, the KE of the sphere just before hitting the surface of the sand is:

KE = (1/2)mv²

where v = velocity of the sphere just before hitting the surface of the sand.

Equate the potential energy to the kinetic energy:

PE = KE

mgh = (1/2)mv²

Solving for v:

v = √(2gh)

v = √(2 x 9.8 m/s² x 0.02 m)

v = 0.63 m/s

Therefore, the velocity of the metal sphere just before hitting the surface of the sand is 0.63 m/s.

Find out more on velocity here: https://brainly.com/question/25905661

#SPJ1

The magnetic field is a fundamental component of helical motion, and it dictates the direction of the helix's path. Specifically, the magnetic field determines the orientation of the helix's axis, which in turn determines the direction of the helix's curvature.

This is because charged particles that are moving through a magnetic field experience a force known as the Lorentz force, which acts perpendicular to both the direction of the particle's motion and the direction of the magnetic field. This force causes the particle's path to curve, resulting in the characteristic helical motion. However, it's worth noting that the magnetic field does not dictate the size or frequency of the helix; these factors are determined by other parameters, such as the velocity and charge of the particle in question. Overall, the magnetic field is a crucial factor in determining the behavior of particles undergoing helical motion, but it is not the only determinant of this complex phenomenon.

To know more about magnetic field

https://brainly.com/question/14411049

#SPJ11

The statement, "For horizontal flow of a liquid in a rectangular duct between parallel plates, a measurement of pressure gradient enables the shear stress distribution to be found" is true.

For a Newtonian fluid flowing between parallel plates, the shear stress is directly proportional to the velocity gradient. The pressure gradient is related to the velocity gradient through the Navier-Stokes equation. Therefore, by measuring the pressure gradient, it is possible to determine the shear stress distribution and hence the velocity distribution within the liquid. This is known as the Couette flow, and it is widely used in the study of fluid mechanics.

The statement "For horizontal flow of a liquid in a rectangular duct between parallel plates, a pressure gradient measurement enables the shear stress distribution to be found" is correct.

Learn more about Newtonian fluids on:

https://brainly.com/question/15232330

#SPJ11

To determine the speed of transverse waves in a copper wire, we need additional information such as the wire's tension and mass per unit length (linear density).

The speed of transverse waves can be calculated using the formula: [tex]v=\sqrt{\frac{T}{μ}}[/tex], where v is the wave speed, T is the tension in the wire, and μ is the linear density.
In this scenario, we have the density of copper, but not the tension in the wire or the wire's linear density. The density of copper is useful for calculating the linear density (μ) if we also have the wire's dimensions (cross-sectional area and length).

Linear density can be calculated using the formula:[tex]μ = \frac{(mass * length)}{volume}[/tex], where mass can be calculated by multiplying the density by the volume. However, without the wire's dimensions or tension, we cannot determine the wave speed.
The speed of transverse waves through the copper wire cannot be calculated without additional information such as wire dimensions (cross-sectional area and length) and tension. If you provide these details, I can help you calculate the wave speed.

For more information on speed of wave kindly visit to

https://brainly.com/question/31682106

#SPJ11

To convert 1 cup (8 oz) to milliliters, you can use the following conversion: 1 US cup is equal to 236.588 mL. Therefore, 1 cup (8 oz) is equivalent to 236.588 mL.

The conversion of measurements from one unit to another is a common task in many different fields, including cooking, baking, and laboratory work. One of the most common conversions is the conversion of cups to milliliters, which is used to measure both liquid and dry ingredients in recipes and other applications.

In the United States, a standard cup is equivalent to 8 fluid ounces, or approximately 236.588 milliliters. This means that if you want to convert 1 cup (8 oz) to milliliters, you can simply multiply the number of cups by 236.588.

So, 1 cup (8 oz) is equal to 1 x 236.588 = 236.588 milliliters.

This conversion is useful when you need to measure out a specific volume of liquid or dry ingredients in a recipe or experiment, and want to use a standard unit of measurement that can be easily reproduced. By converting from cups to milliliters, you can ensure that your measurements are accurate and consistent, regardless of the specific ingredients or tools that you are using.

Visit here to learn more about experiment brainly.com/question/17314369

#SPJ11

The chief purpose of the ceramic material is to insulate the metal button from the other contact point. The correct answer is option d).

The ceramic material surrounding the metallic button in a flashlight bulb serves as an electrical insulator to prevent the metallic button from making contact with the other contact point of the bulb.

The metallic button at one end of the bulb serves as one of the two electrical contacts required to complete the electrical circuit and illuminate the bulb. The other electrical contact is typically a metallic ring or spring located at the base of the bulb.

If the ceramic material were not present, the metallic button would make contact with the other contact point and the bulb would not work properly. Therefore, the ceramic material is essential to the proper functioning of the flashlight bulb.

Know more about ceramic here:

https://brainly.com/question/30545056

#SPJ11

The Leaning Tower of Pisa is a famous tower located in Italy. The tower is 55 meters tall and has a radius of approximately 7.7 meters. The top of the tower is about 4.5 meters off-center.

To determine if the tower is in stable equilibrium, we need to look at its center of gravity. The center of gravity is the point where the weight of the tower is evenly distributed. In the case of the Leaning Tower of Pisa, the center of gravity is not directly beneath the center of the base, which is why the tower leans.
However, the tower is still in stable equilibrium because it does not topple over. This is due to the fact that the tower has a wide base and the weight of the tower is distributed over a large area. This means that the tower can lean to a certain extent without becoming unstable.
So, how much farther can the tower lean before it becomes unstable? This is difficult to answer with a precise measurement because it depends on various factors such as wind speed, soil conditions, and other external factors. However, it is estimated that the tower can lean up to 5.44 degrees more before becoming unstable. Beyond this point, the tower would start to lean at a greater angle and eventually collapse.

Learn more about equilibrium :

https://brainly.com/question/30807709

#SPJ11

The answer is (a) 1/90 s. Since the period is defined as the time taken to complete one cycle, and in this case, the electric toothbrush completes 90 cycles per second.

The period of an electric toothbrush that completes 90 cycles every second can be calculated as the inverse of its frequency. The frequency of the toothbrush is 90 cycles per second, also known as Hertz (Hz). Therefore, the period can be calculated by dividing 1 by the frequency.

Period = 1/frequency

Substituting the given frequency, we get:

Period = 1/90 s

Hence, the correct option is (a) 1/90 s. This means that the toothbrush completes one cycle in 1/90 seconds or 0.0111 seconds. It is important to note that the period and frequency are inversely proportional to each other. As the frequency increases, the period decreases and vice versa.

Learn more about period

brainly.com/question/23532583

#SPJ11

Answer: B. Elastic

Explanation: Elastic is the term that refers to the property of a medium that returns to its original shape after being disturbed.

The total distance Mr. Hary walked is 13 meters, while his displacement is 1 meter north. to find the total distance, we simply add up the individual distances Mr. Hary walked in each direction: 4m + 3m + 4m + 2m = 13m.

To find the displacement, we need to find the straight-line distance and direction between Mr. Hary's starting and ending points. We can visualize his movements on a coordinate plane and see that he started at the origin, moved 4m east and then 3m south to end up at (-4, -3). He then walked 4m west, bringing him to (0, -3), and finally walked 2m north, ending up at (0, -1).

To find the displacement, we can use the Pythagorean theorem to find the straight-line distance between the starting and ending points: sqrt((0-0)^2 + (-1-0)^2) = sqrt(1) = 1m. The direction of the displacement is north, since Mr. Hary ended up 1m north of his starting point.

Learn more about distance here:

https://brainly.com/question/15172156

#SPJ11

The given statement "The lowest frequency that can produce a standing wave in a given medium is called a beat frequency" is false because the lowest frequency that can produce a standing wave in a given medium is called the fundamental frequency.

The beat frequency refers to the difference in frequency between two sound waves that are slightly different in frequency and interfere with each other, resulting in a pulsing sound.

For example, if a 440 Hz tuning fork and a 442 Hz tuning fork are struck at the same time, the resulting sound will have a beat frequency of 2 Hz.

Beat frequencies can be used to tune musical instruments or in audio engineering to reduce unwanted noise in a recording.

The lowest frequency that can produce a standing wave in a given medium is actually called the fundamental frequency or first harmonic. In the context of standing waves, the fundamental frequency is the frequency at which the medium vibrates in its simplest mode, creating a wave pattern with a single antinode (the point of maximum displacement) and two nodes (points of zero displacements) at its ends.

On the other hand, beat frequency refers to the frequency at which the amplitude of a resultant wave oscillates when two waves of slightly different frequencies interfere with each other. It is the difference between the frequencies of the two interfering waves. This phenomenon is called beats and can be observed in both sound and light waves.

In summary, fundamental frequency or first harmonic is not related to beat frequency, which refers to the amplitude oscillation when two waves with slightly different frequencies interfere.

Therefore, the given statement is false.

Learn more about frequency:

https://brainly.com/question/254161

#SPJ11