A 2,000-kg elevator is being accelerated upward at a rate of 3.0 m/s2. What is the tension in the cable

Answer:

To solve this problem, you can use the formula F = ma, where F is the force applied to an object, m is the mass of the object, and a is the acceleration of the object. In this case, the force applied to the object is 51.3 newtons and the acceleration of the object is 48.7 m/s2. So, you can set up the equation like this:

51.3 newtons = m x 48.7 m/s2

To solve for the mass of the object, you can divide both sides of the equation by 48.7 m/s2:

51.3 newtons / 48.7 m/s2 = m x 48.7 m/s2 / 48.7 m/s2

This simplifies to:

1.05 kg = m

So, the mass of the softball is approximately 1.05 kilograms.

Since I0 is the lowest sound intensity that a person with normal hearing can detect, it is chosen as the reference point. Given that log10 1 = 0, the decibel level of a sound with an intensity of 10–12 W/m2 is = 0 dB. In other words, the human hearing threshold is zero decibels.

The reference value I0 is 10–12 W/m2, which corresponds to the threshold of hearing intensity at 1000 Hz. The Sound Intensity Level, or SIL for short, is the intensity decibel scale. The related sign, like in our text, is LI.

Much more frequently than sound intensities in watts per square meter, sound intensity levels are expressed in decibels (dB). Both the scientific literature and the public media use decibels as their preferred measurement unit. The rationale behind this decision of units has to do with how we hear. There is a reference intensity, I0 = 1012 W/m2. The lowest or threshold intensity of sound that a person with normal hearing can perceive at a frequency of 1000 Hz is specifically known as I0. The degree of sound intensity is not the same as the intensity. is a unitless quantity that informs you of the sound level in relation to a predefined standard (1012 W/m2, in this case), as it is defined in terms of a ratio.

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The turtle traveled 10 meters in 3,918.6 seconds using simple subtraction.

In mathematics, to subtract is to eliminate something from set of things or a group of things. When we remove from the group, the number of items falls or gets less. The minuend, forces at play, and difference are the elements of a subtraction problem.

It involves calculating the distinction between two numbers. The icon looks like this: (minus). In this operation, we take a particular number then split it by a fewer group. In other words, we divide one integer by another. Click here for some difficult addition and subtraction sums.

He gets a value of 4218.6 s

he discovers that the stopwatch had already been running for about 300 s

Time taken by turtle = 4218.6 - 300

= 3918.6 s

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When a satellite is 3R from Earth's center, its gravitational force is equal to F/9.

Any pair of mass-containing objects will gravitationally pull toward one another. It mentions the gravitational force. The force will always applied along the line joining the two mass in the direction of the second mass, based on the formula F=Gm1m2r2.

Given  that the foece on the satellite due to earth gravity is F

(At a distance R from center of Earth)

Initial separation between the satallite and Earth is R

Final separation between the satallite and Earth is 3R

The force on the satallite due to earth is

F= [tex]\frac{GMm}{r^{2} }[/tex]

Here M is mass of earth and m is mass of satellite

if the distance between satellite and earth changed to 3R

the force on the satellite due to earth is

F'=[tex]\frac{GMm}{3R^{2} }[/tex]

F'=[tex]\frac{GMm}{9R^{2} }[/tex]

F'=F/9

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The situation will be describe with:

C. The fish increased the buoyant force by reducing its density.

A swim bladder is an internal organ that some fish use to control their buoyancy. The fish can adjust the amount of gas in the swim bladder to make itself more or less dense than the water around it. In order to rise toward the surface of the water, the fish would need to decrease its density relative to the water, which it can do by increasing the amount of air in its swim bladder. This increase in air in the swim bladder reduces the fish's density, which in turn increases its buoyancy and allows it to rise to the surface.

There are different ways that a fish can control its buoyancy, and different species of fish may have different adaptations for doing so. Some fish may have other organs or structures that can be used to control buoyancy, such as lipids in their body tissue, or fins that can be used to control their position in the water.

Additionally, some fish may have the ability to change their shape or size in order to control their buoyancy, such as by swallowing air or by compressing their swim bladder. However, in general, the most common way for fish to control buoyancy is by adjusting the amount of gas in their swim bladder.

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Answer:

Approximately [tex](-61)\; {\rm m\cdot s^{-2}}[/tex], assuming that [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex].

Explanation:

Under the assumptions, the vehicle would be in a free fall. Acceleration would be constant: [tex]a = (-g) = (-9.81)\; {\rm m\cdot s^{-2}}[/tex].

Let [tex]u[/tex] denote the initial velocity of the vehicle. Let [tex]v[/tex] denote the velocity of the vehicle at the bottom of the drop. Let [tex]x[/tex] denote the displacement of the vehicle during the drop.

It is given that the initial velocity is [tex]u = 0\; {\rm m\cdot s^{-1}}[/tex]. During the drop, displacement would be [tex]x = (-190)\; {\rm m}[/tex] (negative since the vehicle is below where it started.) The value of final velocity [tex]v[/tex] needs to be found.

It is known that the vehicle is moving downwards at the end of the fall. Therefore, the value of [tex]v\![/tex] would be negative. Apply the SUVAT equation [tex]v^{2} - u^{2} = 2\, a\, x[/tex] to find [tex]v[/tex] from [tex]u[/tex], [tex]a[/tex], and [tex]x[/tex].

[tex]\begin{aligned}v^{2} &= u^{2} + 2\, a\, x\end{aligned}[/tex].

[tex]\begin{aligned}v &= -\sqrt{u^{2} + 2\, a\, x} \\ &= -\sqrt{(0\; {\rm m\cdot s^{-1}})^{2} + 2\, (-9.81\; {\rm m\cdot s^{-2}})\, (-190\; {\rm m})} \\ &\approx (-61)\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].

(Note that [tex]v[/tex] is negative.)

In other words, the velocity of the vehicle would be approximately [tex](-61)\; {\rm m\cdot s^{-1}}[/tex] at the end of the drop.

Answer:

No, it would not matter if you did triple science or not in terms of becoming a detective. However, it is important to have a good academic background and a strong understanding of the law and criminal justice system. Additionally, having good communication and problem-solving skills is also beneficial.

Explanation:

The cables and machinery used to transport electric energy from the supplying utility to the wiring system of the premises served are referred to as "service" in the NEC. The Service Point is the location where the customer's premises wiring starts and the utility supply terminates.

Drop in service. between the service point and the utility's electrical supply infrastructure, the overhead conductors.

Service conductors are the wires that run from the service point to the method of terminating the service (service equipment, not meter). For both above (service drop) and subterranean, service conductors would include service-entrance conductors (service lateral).

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The required lim t → ∝ v(t) when an object is dropped from rest is calculated to be mg/c.

Given that,

An object with mass m is dropped from rest and taking air resistance into account.

The velocity as a function of time is,

v(t) = (m g)/c [ 1 - e^-(ct/m)]

v(t) = (m g)/c [ 1 - 1/e^(ct/m)]

lim t → ∝ v(t) = (m g)/c [ 1 - 1/∝]

lim t → ∝ v(t) = (m g)/c ( 1 - 0)

lim t → ∝ v(t) = (m g)/c

Thus, the required lim t → ∝ v(t) when an object is dropped from rest is calculated to be mg/c.

The question is incomplete. The complete question is 'v = mg c (1 − e−ct/m) where g is the acceleration due to gravity and c is a positive constant describing air resistance. (a) Calculate lim t→∞ v.'

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Any cosmic catastrophe jolts the Earth so its axis is perpendicular to the orbital plane between Earth and the sun. Then, the significant effect will be the elimination of the variation of seasons.

A cosmic Catastrophe is a thought experiment in which the sun disappears in an instant. A Planetary Response gradually creates a supranational agency to protect life on Earth from natural threats from terrestrial (pandemics, mega volcanoes, major earthquakes, etc.) and celestial bodies (comets, asteroids, meteor storms, etc.). I am asking you to Variation in a time series within a year that repeats more or less regularly. Seasonal variations can occur due to temperature, precipitation, holidays, seasonal cycles, or holidays. Seasonality is defined as the cyclical changes in food and agricultural labor availability caused by climate change in rural areas of the least developed countries (LDCs).

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When the frequency of a standing wave set up in a pipe (with both ends open) first harmonic is 300 Hz, the length of pipe is 0.567 metres.

Therefore the answer is 0.567 m.

The speed of sound in air is approximately 340 m/s, and the wavelength of the first harmonic of a standing wave in an open pipe is twice the length of the pipe. Therefore, if the frequency of the first harmonic is 300 Hz, the wavelength can be calculated as:

wavelength = speed of sound / frequency

wavelength = (340 m/s) / (300 Hz)

The length of the pipe can be calculated as half the wavelength:

L = wavelength/2

L = (340 m/s) / (2×300 Hz)

L ≈ 0.567 m

So the length of the pipe is 0.68 m

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Answer:

Magnitude of the change in momentum = 0.45kgms-1

Force exerted = 1.13N

Explanation:

The magnitude of the change in momentum of the fly can be calculated using the equation Δp = mv, where m is the mass of the fly and v is the velocity of the fly. In this case, the fly has a mass of 0.30g and an initial velocity of 1.5ms-1. Therefore, the change in momentum of the fly is

Δp = (0.30g) x (1.5ms-1) = 0.45kgms-1.

The average force exerted by the web on the fly can be calculated using the equation F = Δp/Δt, where F is the average force, Δp is the change in momentum of the fly, and Δt is the time taken for the fly to come to rest. In this case, the change in momentum of the fly is 0.45kgms-1 and the time taken for the fly to come to rest is 0.40s. Therefore, the average force exerted by the web on the fly is

F = (0.45kgms-1)/(0.40s) = 1.13N.

Explanation:

This intense stretching method uses bouncing movements to push your body beyond its normal range of motion. Whereas static stretches are performed slowly and gradually, the ballistic method stretches muscles much farther and faster. You can do many of the same stretches as ballistic or static stretches.

Block B on the exterior f-F = ma c f-F = mv2 2d f-F = D = mv2 d f-F E f-F = v2 2d.

A thing's top, exterior, or outermost layer: Tropical rain forests once covered 10% of the earth's surface. The marble has a smooth, polished surface.

The surface of the picture is covered in little fissures. The bowl's exterior has a glossy finish. The wood was rough on the outside. Ice-covered roads ought to be avoided. The phrase "on the surface" describes how something seems, even if it isn't really the case.

The formulas F- f = mv2 / d can be used to determine the force of friction that the surface exerts on the block.

F - f = ma

a = v/t

t = d/v

F - f = m × v / t

F- f = m ×

F- f = m × v²/d

Therefore,

F- f = mv² / d

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Answer:

Centimeters.

Explanation:

There are only 2 viable answers here. This is due to the fact that moles are used not to measure diameters but instead the number of atoms.

Similarly, milligrams are not used to measure diameters but instead small volumes.

This leaves us with kilometers and centimeters, and since all 3 objects are more easily representable in centimeters than kilometers, the answer must be centimeters. One example would be the diameter of a ping pong ball, which is approximately 4cm, or in other words, 0.00004km, with 4cm being much more easy to represent as it overall involves less digits.

According to the kinetic theory of matter, changes in heat energy allow for phase transitions between solids, liquids, and gases.

When something is heated, the particles inside move faster and have more energy. When an object warms up, its atoms and molecules gain kinetic energy. When something is heated, its constituent atoms or molecules accelerate in their motion. Matter's kinetic energy can be quickly and easily increased.

When an object warms up, its atoms and molecules gain kinetic energy. The atomic or molecular motions of matter increase with temperature. Lifting a particle's kinetic energy is a breeze. When a substance absorbs heat, the inter-particle bonds in it weaken and break, resulting in a phase transition. If the particles aren't moving faster, there can't be any more heat. 

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The resistor that is equivalent to the resistance of the circuit is 1 2/7 Ohms

The equivalent resistance of a circuit is the (single) resistance that can replace the combination of resistances in the circuit such that the current flowing in the circuit remains the same.

Please find attached the drawing of the circuit, created with an online circuit building tool.

Whereby the capacitor also acts as a resistor of 6 Ohms, we get;

Resistors R₄, R₅, and R₆ are parallel

The resistor equivalent to the three resistors is found as follows;

Req₁ =  1/(1/R₄ + 1/R₅ + 1/R₆)

Therefore, Req₁ = (1/(1/2 + 1/1 + 1/6)) = 0.6

Req₁ is in series with R₁, therefore;

Req₂ = Req₁ + R₁ = 0.6 + 3 = 3.6

Req₂, (Req₁ + R₁  combined) is parallel to R₂ and R₃, therefore;

Req₃ = 1/(1/Req₂ + 1/R₂ + 1/R₃)

Req₃ = 1/(1/3.6 + 1/3 + 1/6) = 9/7 = 1 2/7

The equivalent resistor of the circuit is 1 2/7 ohms

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The types of microscopes that reveals the surface features of small molecules is an atomic force microscope.

The Atomic Force Microscope (AFM) is useful for imaging the surface topography of living, soft materials in their natural settings. It can be used to examine the inherent elastic modulus and receptor-ligand interactions of cells and extracellular matrix, among other mechanical properties. SEM pictures can investigate surface features that are several tenths of a nanometer in size, but AFM resolution is less than 0.1 nm. As a result, AFM can discern objects on flat surfaces with molecular dimensions.

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With 20.23 ms⁻¹,  maximum speed can it go around a curve having a radius of 60.0 m

The highest rate of speed a person can reach is called maximum speed. When athletes alter the magnitude (how quickly they are moving) or direction (or both) of their motion, or both, their acceleration changes as well since acceleration is related to velocity, which has both a magnitude and a direction connected with it.

ac max = V² max / R   ....(1)

Inserting given values we get

ac, max  =  (34.5)² / 150 = 7.935 ms⁻²

For a changed radius of the curve of 60.0 m, the maximum safe speed from (1) becomes

Unew, max= √ac, max R new

Unew, max = √6.826 x 60

Unew, max 1 = 20.23 ms⁻¹, rounded to one decimal place.

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The speed of the astronaut after launching our feline superhero is 1.4 m/s.

The speed of the astronaut is determined from the principle of conservation of linear momentum.

Pi = Pf

where;

86vₓ = 4.8 x (25 cos40)

86vₓ = 91.9

vₓ = 91.9 / 86

vₓ = 1.07 m/s

The vertical component of the speed;

86vy = 4.8 x (25 sin40)

86vy = 77.1

vy = 77.1 / 86

vy = 0.9 m/s

The resultant speed of the astronaut is calculated as;

v = √ ( vₓ² + vy² )

v =  √ ( 1.07² + 0.9² )

v = 1.4 m/s

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The coefficient of static friction between the crate and the floor is calculated to be 0.275.

The frictional force when an object moves on the horizontal surface is given as,

Ff = μ N

where, N is the normal force

μ is the coefficient of static or kinematic friction

If no forces other then the weight and the normal are acting upon the y-direction, then the weight and the normal force are equal in magnitude.

N = W = m g

Given that,

Mass of the crate = 26 kg

Frictional force Ff = 70 N

Weight of the crate = 26 × 9.8 = 254.8 N

The normal force is 254.8 N.

The coefficient of static friction μ = Ff /N = 70/254.8 = 0.275

Thus, the coefficient of static friction between the crate and the floor is 0.275.

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To start and stop an item in motion, according to Newton's First Law of Motion, requires a force.

Newton's first law encapsulates the idea that an object's velocity only changes in response to a force. Unless acted upon by a net external force, Newton's first law states that an object at rest will remain at rest and an object in motion will continue to move at a constant speed.

Unless acted upon by a net external force, Newton's first law states that an object at rest will remain at rest and an object in motion will continue to move at a constant speed.

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Answer:

2000

Explanation:

180/0.09

=2000

pressure=force/area

The work performed by a battery is 310 J according to the formula W= Pt and the provided data.

The formula for the electrical work is W = Q V. In this case, the electric potential, V, is expressed in volt, the electric charge, Q, is expressed in coulombs, and the work done, W.

The work performed in an electronic circuit may be computed using the formula

W=Pt,

where P=IV is the supplied electrical power and t is the time.

W= Pt =I V t=V²t/ Req

= V²t/ R + r

therefore

W= (12.0V)²(60s)/21.0Ω+3.00Ω

= 310 J

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The time on the surface of an object would run most slowly on an object with the same mass as the Sun but twice as large in radius.

What is mass?

Mass is a measure of the amount of matter in an object and is typically expressed in kilograms (kg). It is an intrinsic property of matter and is different from weight, which is a measure of the force of gravity acting on an object. Mass is an important factor in determining the physical properties of an object, such as density, momentum, and inertia. Mass is also used to calculate the gravitational force between two objects, as well as the energy required to move it.

This is because the surface gravity of an object is inversely proportional to the square of its radius. Therefore, the object with the same mass as the Sun but twice as large in radius would have a much lower surface gravity, and time would run more slowly on its surface.

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You could do to make the magnetic disk rotate faster: regular usage of a disc defragmentation program.

A magnetic disk is a storage device that writes, rewrites, and accesses data using the magnetization process. It has a magnetic layer that retains data as tracks, spots, and sectors.

You could do to make the magnetic disk rotate faster:

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If Jada has 25 dimes, she has 10 quarters .

Dime is a coin from the United States or Canada which has value of ten cents.

And. quarter is a coin from the United States or Canada which has value of twenty five cents.

Jada has 25 dimes .

Now, we know that 1 dime is equals to 10 cents.

Hence, Jada has = 25 × 10 cents = 250 cents.

Again we know that 1 quarter is worth 25 cents.

So, Jada has = (250 ÷ 25) quarters

= 10 quarters.

Hence, she has 10 quarters.

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The intensity of 60 dB sound is 10⁻⁶ W/m².

A common conversation between two persons seated at a distance of around one meter (3 14 feet) is as loud as 60 dB. It is equivalent to the typical noise level in a restaurant or office.

The decibel scale is a logarithmic one rather than a linear one. Accordingly, 10 dB denotes a sound that is 10 times louder than 0 dB, which represents no sound at all. Now, a sound at 20 decibels is 100 times louder than one at 0 decibels. And so on until a sound that is 100 decibels is 1 billion times louder than total silence (0 decibels).

A sound at 60 dB is therefore 100 times louder than a sound at 40 decibels and 1000 times louder than a sound at 30 decibels, while being 10 times louder than a sound at 50 decibels.

The formula for sound volume is L = log(I/I₀), or (I/I₀) = 10^L.

Given that L = 60dB = 6bel and that we know that I₀ = 10⁻¹² W/m²,

I/I₀ = 10⁶.

or I = 10⁻¹² × 10⁶ = 10⁻⁶ W/m²

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A low bandwidth will result in a high ping (delay) and, most likely, lag while you're playing. It will also affect how quickly data is delivered and then received.

Because of the temporal lag caused by high latency, gaming might be much less enjoyable. It is essential because low latency allows for more fluid gameplay. Typically, a latency (or ping) of 40–60 milliseconds (ms) or less is considered to be acceptable.

Your website resources will load more quickly if server latency is reduced, which will also improve the time it takes for visitors to load all of your pages.

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