During an experiment, you take a measurement of 12.9 inches.

What is this
measurement in centimeters?
A. 5.08 cm
B. 32.8 cm
C. 45.1 cm
D. 16.2 cm

Explanation:

w = v/r

= 15/ 45 = 1/3 rads-¹

a = w²r

= 1/9 • 45 = 5 ms-²

F = mv²/r

= 1200• 15• 15/45

= 6000N

The car, when rounding the curve, is pulled towards the center by the friction between it's wheels and the road.

The maximum current in the inductor is approximately 1.21 amperes when a 5.05 μF capacitor initially charged to 15.2 V is connected in series with a 3.75 mH inductor.

To determine the maximum current in the inductor when a 5.05 μF capacitor initially charged to a potential of 15.2 V is connected in series with a 3.75 mH inductor, we can use the formula for the resonant frequency of an LC circuit.

The resonant frequency (fr) of an LC circuit is given by:

fr = 1 / (2π√(LC))

Given:

C = 5.05 μF = 5.05 × \(10^{-6}\)F

L = 3.75 mH = 3.75 × \(10^{-3}\) H

Plugging the values into the formula:

fr = 1 / (2π√(5.05 × \(10^{-6}\) × 3.75 × \(10^{-3}\)))

  = 1 / (2π√(1.89125 ×\(10^{-8}\)))

  ≈ 530,012 Hz

The maximum current (Imax) in the inductor can be calculated using the formula:

Imax = V / Xl

Where:

V is the initial potential (voltage) across the capacitor (15.2 V), and

Xl is the inductive reactance.

The inductive reactance (Xl) is given by:

Xl = 2πfL

Plugging the values into the formula:

Xl = 2π(530,012)(3.75 × \(10^{-3}\))

  ≈ 12.556 Ω

Plugging the values into the formula for Imax:

Imax = 15.2 V / 12.556 Ω  ≈ 1.21 A

Therefore, the maximum current in the inductor is approximately 1.21 amperes.

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The height of the building where a penny falls and hits the ground going 30 m/s is 45.9 m.

The height of the building can be calculated with the following equation:

\( v_{f}^{2} = v_{i}^{2} + 2gh \)

Where:

\( v_{f}\): is the final speed = 30 m/s

\( v_{i}\): is the initial velocity = 0 (it falls from rest)

g: is the acceleration due to gravity = 9.81 m/s²

h: is the height =?

Hence, the height is:

\( h = \frac{v_{f}^{2} - v_{i}^{2}}{2g} = \frac{(30 m/s)^{2}}{2*9.81 m/s^{2}} = 45.9 m \)

Therefore, the height of the building is 45.9 m.  

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To find the time it takes to polish the entire lens, we first need to know the total surface area of the lens. If we assume that the lens is spherical and has a diameter of 1.24 x 10^2 mm, then its surface area can be calculated using the formula for the surface area of a sphere:

A = 4πr^2, where r is the radius of the sphere

The radius of the sphere can be found by dividing the diameter by 2:

r = d/2

Plugging in the values for d and r, we get:

A = 4π(1.24 x 10^2 mm / 2)^2

A = 4π(62^2) mm^2

A = 4π(3844) mm^2

Now that we know the surface area of the lens, we can divide it by the time it takes the technician to polish 1.24 x 10^2 mm^2 to find the total time:

T = (4π * 3844 mm^2) / (54 s / 1.24 x 10^2 mm^2)

T = (4π * 3844) / 54

T = (15246.88) / 54

T = 282.6 s

Rounding to two significant figures, the time it takes the technician to polish the entire lens is approximately:

T = 283 s

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Answer:

Option C, Both the basketball's speed and direction would change

Explanation:

When two objects travelling with certain speed interact with each their internal forces changes and hence their motion changes simultaneously.

In general cases it is said that momentum is conserved. Momentum is nothing but just the product of mass and velocity.

As the motion of the football changes, then momentum also changes. Since mass is a constant value, it is the velocity of the football that changes.

Hence, both speed and direction of both the football changes.

Option C is correct

Answer:

Explanation:

Capacity: the max amount that something can contain.

"the capacity of the freezer is 1.1 cubic feet"

capacitor: device for storing electrical energy, includes two conductor that are close to one another and insulated from each other. A simple example is a parallel-plate capacitor.

Source: Britannica.com

Answer:

Explanation:

It is easy to roll a trolley when it is sloped at a certain angle as its speed is greater on an inclined track. This is the reason trolley track be sloped at a certain angle.

The objects roll faster on a steeper inclined track than a less steeper incline.

The forces acting on the trolley on incline are normal force and weight.

Resolving weight of the trolley, we have, m g sinθ acting down the incline.

sinθ is an increasing function and increases on increasing the angle.

The angle keeps changing depending on how the trolley is interacting with gravity.

Thus, the trolley track should be sloped at a certain angle to pull the trolley easily.

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Answer:

Length of hole (s) = 362.77 m (Approx)

Explanation:

Given:

Time taken to hit the bottom (t) = 8.6 s

Acceleration due to gravity (g) = 9.81 m/s²

Find:

Length of hole (s) = ?

Computation:

Initial velocity (u) = 0 m/s

S = ut +1/2(gt²)

S = (0)(8.6) +1/2(9.81)(8.6)(8.6)

S = 1/2(9.81)(8.6)(8.6)

S = 1/2(9.81)(8.6)(8.6)

S = 362.7738

Length of hole (s) = 362.77 m (Approx)

Answer:

The speed the car must travel to experience no friction is approximately 16.9 m/s

Explanation:

The car and road data are;

The mass of the car, m = 1,200 kg

The radius of the road, r = 80 meters

Given that the angled at which the road is banked, θ = 20°

The friction between the tires and the road, at the required speed, \(\mu_s\) = 0, No friction

We have;

\(\dfrac{v^2}{r \cdot g} = \dfrac{\left( sin \, \theta + \mu_s \cdot cos \, \theta \right)}{\left( cos\, \theta + \mu_s \cdot sin\, \theta \right)}\)

Where \(\mu_s\) = 0, we get;

\(\dfrac{v^2}{r \cdot g} = \dfrac{ sin}{ cos} = tan \, \theta\)

∴ v² = r·g·tan(θ)

Where;

g = The acceleration due to gravity ≈ 9.81 m/s²

v = The speed at which the car travels

∴ v² = 80 m × 9.81 m/s² × tan(20°) = 285.64384 m²/s²

v = √(285.64384 m²/s²) ≈ 16.9 m/s

The speed with which the car must travel to experience no friction, v ≈ 16.9 m/s

Answer:

la velocidad se mide con el tiempo del tiempo que tarda el tiempo se mide por la hora del día y el reloj

Explanation:

Creo que es correcto

Answer:

Drinks are cooled more effectively by ice pieces at 00C and not by water at 00C. This is because ice takes away more heat from the drink while melting as a result of high specific latent heat capacity of ice.

Explanation:

Option D: When the distance between two stars or planets doubles, the gravitational force between them becomes one-fourth.

The inverse square law of gravity, which states that the force of gravity between two objects is inversely equal to the square of the distance between their centers, provides a description of the relationship.

Mathematically, it can be expressed as:

F ∝ 1/r²

Where F represents the force of gravity and r represents the distance between the objects.

When the distance (r) between the stars or planets doubles, i.e. r = 2r, the value of 1/r² becomes:

1/(2r)²

which simplifies to 1/4r². This means that the force between the objects becomes one-fourth (1/4) of its original value.

In conclusion, the inverse square law of gravity causes the force between two stars or planets to decrease by a factor of four for every two-fold increase in distance.

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Complete question:

when the distance between two stars or planets doubles, the force between them

remains the same

gets doubled

gets halved

becomes one fourth.

Answer:

Doldrums

Explanation:

Trust me and need more to write to post answer

Answer:

the answer is

The last one D.) 17.5

Hope it helps ya(:

~Aiden~

Answer:

D.)

Hope it helps ya((::\\

~Aiden~

Answer:

a

Explanation:

The best measure of progress for complex system development is typically a combination of milestones, Key Performance Indicators (KPIs), and iterative feedback loops.

The best measure of progress for complex system development would be a combination of several metrics such as project timelines, budget adherence, stakeholder feedback, quality of deliverables, and the system's overall performance. It is important to have a holistic view of the project and measure progress at different stages of development to ensure that it is on track towards achieving the desired outcomes. Additionally, regular communication and collaboration between the development team and stakeholders is crucial for accurately assessing progress and making necessary adjustments to the project plan.
The best measure of progress for complex system development is typically a combination of milestones, Key Performance Indicators (KPIs), and iterative feedback loops. By tracking these factors, you can effectively monitor and evaluate the progress of the system while ensuring its alignment with overall objectives.

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The frequencies of sound that carry farther in air are low frequencies.

Low-frequency sounds typically travel farther in the air. This is due to the fact that they have longer wavelengths and lower energy levels than high-frequency sounds. When compared to high-frequency sound waves, low-frequency sound waves travel further and generate less heat.

Low-frequency sounds, such as bass drums and bass guitars, travel much farther than high-frequency sounds. High-frequency sounds, such as cymbals and guitars, are easily absorbed by walls and other surfaces, resulting in a lower sound level and less penetration into the surrounding area.

Frequencies are the number of sound waves that travel through a medium in one second, and they are measured in Hertz (Hz). Sound frequencies are critical for human hearing because they determine the pitch of sound. The higher the frequency of a sound wave, the higher the pitch it produces.

A sound wave travels faster in water than in air, and it is measured by the speed of sound. The speed of sound is calculated by dividing the distance travelled by the sound wave by the time it takes to travel that distance. The speed of sound in air is 340 meters per second, while it is 1,480 meters per second in water.Sound waves with a frequency of 150 Hz travel further in air.

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The frequencies of sound that carry farther in air are relatively B) low.

The satement is true.

This comes from the fact that, according to Einstein:

and since c² is a very large number then, if we find a way to convert all the mass in energy a small amount will produce a large amount of energy.

The amount of force required to stop an object, based on the forces of inertia and momentum, varies according to speed, weight, and the distance between impact and stop.

Inertia is the tendency of an object to remain in motion unless acted upon by an outside force, while momentum is the product of an object's mass and velocity. The amount of force required to stop an object is proportional to its mass, velocity, and the distance it needs to travel before it comes to a stop. The greater the mass, velocity, and distance, the more force is required to stop the object.

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Answer: Lets say he is traveling that speed per 5 second.

Average Speed= Total Velocity/Time

(10+20)/5

30/5

6

Explanation:

Mindanao instruments require a level of skill and practice to play effectively. Mindanao instruments are made from a variety of materials, including bamboo, wood, metal, and animal hide. Mindanao music is deeply intertwined with the beliefs, cultures, and traditions of the region.

Without knowing which specific instrument is being referred to, it is difficult to give a definitive answer to this question. However, generally speaking, many Mindanao instruments require a level of skill and practice to play effectively. Many are percussion instruments, such as the kulintang and the gandingan, which require a sense of rhythm and timing to play well. Other instruments, such as the kudyapi (a type of lute), require finger dexterity and knowledge of chords. Overall, while some instruments may be easier to play than others, it is likely that most Mindanao instruments require some level of proficiency to play effectively.
Mindanao instruments are made from a variety of materials, including bamboo, wood, metal, and animal hide. For example, the kulintang is made up of a set of small gongs arranged in a row, often made of bronze or brass. The kudyapi is made from wood and features strings made from animal gut or nylon. The agung, a large gong, is made from bronze or brass and is played with wooden beaters. Overall, the use of natural materials is common in Mindanao instrument making, and many instruments are handcrafted by skilled artisans.
Mindanao music is deeply intertwined with the beliefs, cultures, and traditions of the region. Many instruments have religious or spiritual significance, and are used in rituals and ceremonies. For example, the kulintang is often used in Muslim wedding ceremonies, while the agung is used in tribal rituals. The lyrics of songs often reflect the daily lives and experiences of people in Mindanao, such as farming and fishing. The use of traditional instruments and styles of music also serves as a way to preserve and promote cultural heritage. Overall, Mindanao music is a reflection of the diverse cultures and traditions found in the region, and plays an important role in preserving and celebrating these traditions.

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The differential equation for the chlorine mass Q(t) in the swimming pool is dQ/dt = (0.1C/V) - (Q/V)(0.02).

To determine the differential equation for the chlorine mass Q(t), we consider the rate at which chlorine is being pumped into and out of the swimming pool. The concentration of chlorine in the pool water is represented by C, and the volume of the pool is given as V = 50 m³. At a rate of 0.02 m³/min, water containing chlorine concentration 0.1 C/V is pumped into the pool, while water flows out at the same rate. This results in a differential equation where the rate of change of Q(t) with respect to time is equal to the inflow rate minus the outflow rate.

To solve this differential equation, we integrate both sides and apply the initial condition Q(0) = 0, since there is no initial chlorine mass in the pool. The solution to the equation is Q(t) = (0.02C/V)(1 - e^(-0.02t)), which gives us the expression for the chlorine mass Q(t) in terms of time t.

Now, to find the amount of chlorine mass Q(t) after 2 hours, we substitute t = 120 minutes into the solution equation and evaluate Q(t). Similarly, to determine the time at which the chlorine mass in the pool is 50% of the initial mass, we set Q(t) equal to 0.5C and solve for t. These calculations will provide the specific values requested in parts c) and d) of the question.

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Answer:Deposition

Explanation:Deposition is the phase transition in which gas transforms into solid without passing through the liquid phase. ... The reverse of deposition is sublimation and hence sometimes deposition is called desublimation.

Answer:

Explanation:

When dealing with optics, there is an incident wave, a reflected wave, and a transmitted wave. An incident wave is the initial wave coming out from the source, like a flashlight.

Then the reflected wave is created when the incident wave encounters an interface like a piece of glass. The reflected wave will reflect like you would expect.

Then, the transmitted wave is the wave which passes through the interface and continues.

So, a good question would be to ask for the value of the reflected wave function given an initial incident wave.

Another example entirely would be to look at the reflected wave on a tensioned string. If you shake a string up and down, a wave will be sent through it. Once hitting the wall, the wave will reflect back. A good question there is asking how the amplitude of the wave changed.

Answer:

Explanation:

The force acting on an object given the mass and acceleration we use the formula

We have

force = 15 × 20

We have the final answer as

Hope this helps you

The linear speed of the clothes as a spin in the barrel is 102.1 m/s.

The linear speed of the clothes is the measure of the change of displacement of the clothes with time.

Mathematically, the formula for linear speed is given as;

v = ωr

where;

The angular speed of the wash machine is given as;

ω = 1950 rpm = 1950 rev/min x 2π rad/rev x 1 min/60 s = 204.2 rad/s

v = 204.2 rad/s x 0.5 m

v = 102.1 m/s

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The linear (tangential) velocity of the lateral malleolus at frame 2 using the central difference formula is 0.42.

(A) To calculate the angle of the leg at frame 4, we need to use the given data and the formula.
Angle of leg = arctan(y/x)

Where x and y are the corresponding values in the table.

For frame 4,x = -0.206, y = 0.979 Angle of leg = arctan(0.979/-0.206)

≈ -79.67 degrees

Therefore, the angle of the leg at frame 4 is approximately -79.67 degrees.

(B) To calculate the linear (tangential) velocity of the lateral malleolus at frame 2 using the central difference formula, we need to use the given data and the formula.

The formula for the central difference is: f'(x) = (f(x+h) - f(x-h))/2h where f(x) is the function, h is the step size, and f'(x) is the derivative of the function.

Let's find the tangential velocity at frame 2 using the data for lateral malleolus displacement over time. Using the central difference formula:

f'(x) = (f(x+h) - f(x-h))/2h

where x = 2, h = 0.01, and f(x)

= lateral malleolus displacement at frame

2f'(2) = (f(2+0.01) - f(2-0.01))/2*0.01f'(2)

= (-0.2256 - (-0.234))/0.02f'(2)

= 0.42

Therefore, the linear (tangential) velocity of the lateral malleolus at frame 2 using the central difference formula is 0.42.

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Answer:

James Prescott Joule

James Prescott Joule, (born December 24, 1818, Salford, Lancashire [now in Greater Manchester], England—died October 11, 1889, Sale, Cheshire), English physicist who established that the various forms of energy—mechanical, electrical, and heat—are basically the same and can be changed one into another.James Prescott Joule experimented with engines, electricity and heat throughout his life. Joule's findings resulted in his development of the mechanical theory of heat and Joule's law, which quantitatively describes the rate at which heat energy is produced from electric energy by the resistance in a circuit.

Taking into account the Newton's second law, the acceleration of the 100 g mass is 50 m/s².

Newton's second law states that this force will change the speed of an object because the acceleration and/or direction will change.

So, Newton's second law defines the relationship between force and acceleration mathematically. This law says that the acceleration of an object is directly proportional to the sum of all the forces acting on it and inversely proportional to the mass of the object:

F= m×a

where:

In this case, you know:

Replacing in Newton's second law:

5 N= 0.1 kg× a

Solving:

a= 5 N÷ 0.1 kg

a= 50 m/s²

Finally, the acceleration is 50 m/s².

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Answer:

CORNEA

Explanation:-

Cornea: Basically the transparent circular part of the front of the eyeball. It refracts the light entering the eye onto the lens, which then focuses it onto the retina. The cornea contains no blood vessels and is extremely sensitive to pain.
Hope it helps