Astronomers are comparing two stars that are known to have the same luminosity. Star A is observed to be 4 times brighter than star B. How far away is Star A compared to Star B?

Answer:

Acceleration = 0.2m/s²

Explanation:

Given the following data;

Mass = 1000kg

Force = 200N

To find acceleration;

Force is given by the multiplication of mass and acceleration.

Mathematically, Force is;

\( F = ma\)

Where;

F represents force.

m represents the mass of an object.

a represents acceleration.

Making acceleration (a) the subject, we have;

\(Acceleration (a) = \frac{F}{m}\)

Substituting into the equation;

\(Acceleration (a) = \frac{200}{1000}\)

Acceleration = 0.2m/s²

As per the given values, and uncertainty of the speedometer the actual speed could be 61.33 km/h.

Uncertainty = 2.0 km/h

Measured value = 90 km/h

Calculating the Percent uncertainty -

= (Uncertainty / Measured value) x 100

= (2.0 / 90 ) x 100

= 2.22%

Now, assuming the speedometer has the same percent uncertainty at 60 km/h, this percent uncertainty can be used to determine the range of speeds.

Percent uncertainty = 2.22%

Measured value = 60 km/h

Calculating the range -

= (Percent uncertainty / 100) x Measured value

= (2.22% / 100) x 60

= 1.33

Calculating the Total speed -

= 60 + 1.33

= 61.33

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Complete Question:

If your speedometer has an uncertainty of 2.0 km/h at a speed of 90 km/h ,what is the percent uncertainty? (b) If it has the same percent uncertainty when it reads 60 km/h , what is the range of speeds you could be going?

The car has an average acceleration of

\(a_{\rm ave} = \dfrac{\Delta v}{\Delta t} = \dfrac{0\frac{\rm m}{\rm s} - 20\frac{\rm m}{\rm s}}{4\,\mathrm s} = -5\dfrac{\rm  m}{\mathrm s^2}\)

Then, by Newton's second law, the average force exerted by the brakes on the car is

\(F_{\rm ave} = ma_{\rm ave} = (1200\,\mathrm{kg})\left(-5\dfrac{\rm m}{\mathrm s^2}\right) = \boxed{-6000 N}\)

which is to say, the average force has a magnitude of 6000 N and is directed opposite the car's motion.

As rotating winds pull into a tighter and tighter spiral, wind speeds increase due to the conservation of angular momentum.

When no external torques are acting on the system, the physical attribute of angular momentum, which describes the rotational motion of an item, is preserved. When air travels inward towards the centre of rotation in rotating winds, such as those in a tornado or cyclone, the angular momentum is conserved, spiralling the winds and tightening the storm system.

The circular path's radius reduces as the air moves in closer proximity to the centre of rotation, which lowers the moment of inertia. The conservation of angular momentum states that in order to preserve the same amount of angular momentum as the moment of inertia falls, the angular velocity must rise.

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Answer:

Explanation:

ok

Answer:

the answer is A

Explanation:

Answer:c=-56+ 8

Explanation:

The first one!

Hope this helps pls mark as brainliest :)

Answer:

Models change to accommodate new discoveries.

Explanation:

Scientific models are based on current scientific knowledge. This means that when new discoveries are made they are subject to change.

The hint given suggests solving integrals of the form ∫[−∞, ∞] e^-(ax²+bx) dx, which will be encountered during the Fourier transform process. The final solution will be in terms of the normalized constant A, the parameter a, and time t.

To normalize ψ(x,0), we need to find the value of A. Using the normalization condition, we get:

1 = ∫ψ*ψ dx from -infinity to infinity

1 = ∫|A|^2 e^-2ax dx from -infinity to infinity

1 = |A|^2/2a

|A|^2 = 2a

A = sqrt(2a)

Now, to find ψ(x, t), we need to apply the time-dependent Schrödinger equation. We have:

ψ(x, t) = (1/sqrt(2π)) ∫Φ(k) e^(i(kx-wt)) dk

where Φ(k) is the Fourier transform of ψ(x, 0). Using the Fourier transform, we get:

Φ(k) = (1/sqrt(2π)) ∫ψ(x, 0) e^(-ikx) dx

Φ(k) = (1/sqrt(2π)) ∫sqrt(2a) e^-ax e^(-ikx) dx

Φ(k) = sqrt(2a/(π(a^2+k^2)))

Substituting this in the expression for ψ(x, t), we get:

ψ(x, t) = (1/π^(1/4)) (a/π)^(1/4) ∫ e^(-(a^2+k^2)(x^2+w^2t^2)/4+ikx-wt) dk

This integral can be solved using the Gaussian integral formula:

∫ e^(-ax^2) dx = sqrt(π/a)

After solving the integral, we get:

ψ(x, t) = (a/π)^(1/4) e^(-a(x-wt)^2/2)


The hint given suggests solving integrals of the form ∫[−∞, ∞] e^-(ax²+bx) dx, which will be encountered during the Fourier transform process. The final solution will be in terms of the normalized constant A, the parameter a, and time t.

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Power is defined as the rate of change of work done.

The quantity of energy transferred or transformed per unit of time is known as power.

The equations for calculating the power of an object are,

Power,

P = W/t                where W is the work done and t is the time.

P = F(d/t)             where F is the force, d is the distance.

P = ΔE/t               where ΔE is the change in energy.

P = Fv                  where v is the velocity.

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The duration of the light pulse measured by the pilot of the spaceship is approximately 34.0 μs.

What is light pulse?

A light pulse refers to a brief and localized disturbance or packet of electromagnetic radiation that propagates through space. It is a short-duration burst or wavefront of light energy.

Light pulses can be produced by rapidly changing or modulating a light source, such as a laser. By controlling the duration and intensity of the light emission, one can generate pulses of light with specific characteristics.

According to the theory of special relativity, time dilation occurs when an observer is in relative motion with respect to another observer.

The time dilation factor is given by γ = 1 / √(1 - (v²/c²)), where v is the relative velocity between the observers and c is the speed of light.

In this scenario, the spaceship is moving past Mars with a speed of 0.985c relative to the planet's surface. Since the signal light blinks on and off while the spaceship is directly overhead, the duration of the light pulse observed by the pilot can be calculated using the time dilation formula.

Given that the duration of the light pulse measured by the observer on Mars is 70.0 μs, we need to divide it by the time dilation factor to obtain the duration measured by the pilot:

Δt' = Δt / γ = 70.0 μs / (1 / √(1 - (0.985)²)) ≈ 34.0 μs

Therefore, the duration of the light pulse measured by the pilot of the spaceship is approximately 34.0 μs.

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Answer: the time of impact is decreased (B)

Answer:

The time of impact is decreased

Explanation:

When a water balloon is thrown towards a person it bursts when an attempt is made to catch it because the material that the balloon is made of cannot withstand a large force. The water filled in the balloon exerts a large pressure on the surface. Due to this a small force is enough to break it. To catch a balloon that is moving, the momentum of the balloon has to be reduced to zero.

Answer:

Antarctica and Australia were one landmass millions of years ago

Explanation:

Thats the answer I'm very sure of it

Answer:

It is Antartica and Australia

The current in the circuit is  ≈ 2.07 amperes (A)

A current circuit is a closed path through which electric current can flow. It typically consists of a power source, such as a battery or generator, a load, such as a light bulb or motor, and conductive wires or other components that connect the power source and load to form a complete path for the current to flow.

The current in the circuit can be calculated using the formula:

current = charge / time

In this case, the charge moved around the circuit is 60 coulombs and the time taken is 29 seconds. Thus, the current in the circuit is:

current = 60 coulombs / 29 seconds

current ≈ 2.07 amperes (A)

Therefore, The current in the circuit is  ≈ 2.07 amperes (A)

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The SI unit of the Moon's average translational velocity is 2,300 m / s.

SI unit is the standard form of representing both derived quantity and fundamental quantities.

The SI unit of velocity include the following;

meter per second = m / s

kilometer per hour = km / h

The SI unit of the Moon's average translational velocity is calculated as follows;

v = 2.3 km / s

1 km = 1,000 m

v = ( 2.3 km / s ) x ( 1000 m / 1 km )

v = 2,300 m / s

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The brake light is a part of the motorcycle which is there only to give the feedback ( information) to the driver.

This is referred to as a type of vehicle which has only two wheels and is without pedals. it is used in the transportation of people and goods from one location to another.

This vehicle has different parts and an example is the brake light which denotes that the driver is slowing down as a result of the brake being pressed which helps to reduce sand eliminate incidences of collisions and other forms of accident.

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Answer:

The aeroplane flew 4200 miles for 7 hours.

600 times 7 is 4200.

Since aluminum has a higher coefficient of thermal expansion, it will reach its expansion limit first. Therefore, the gap will close at -72.27°C.

To solve this problem, we need to use the coefficient of thermal expansion for each material. Brass has a coefficient of 18.7 x 10^-6 m/m°C, while aluminum has a coefficient of 23.1 x 10^-6 m/m°C.
Assuming that both bars are initially at the same temperature, the gap between them will increase or decrease depending on which bar expands or contracts more. Since aluminum has a higher coefficient of thermal expansion, it will expand more than brass as the temperature increases.
To find the temperature at which the gap is closed, we can use the formula ΔL = αLΔT,
where ΔL is the change in length, α is the coefficient of thermal expansion, L is the original length, and ΔT is the change in temperature.

We know that the gap between the bars is 1.67 x 10^-3 m at 24.3 °C. Let's assume that the gap is closed when the bars touch each other. In other words, ΔL = -1.67 x 10^-3 m.

Let's also assume that the bars are each 1 meter long.
For aluminum:
-ΔL = αLΔT
-1.67 x 10^-3 m = (23.1 x 10^-6 m/m°C)(1 m)ΔT
ΔT = -72.27°C

For brass:
ΔL = αLΔT
1.67 x 10^-3 m = (18.7 x 10^-6 m/m°C)(1 m)ΔT
ΔT = 89.12°C

It's important to note that this calculation assumes that the bars are free to expand and contract. However, since they are attached to an immovable wall, there may be additional stresses and strains that could affect the outcome.

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Answer:

180m to the east

Explanation:

Displacement is the distance traveled in a specific direction. It is a vector quantity with both magnitude and direction. Therefore, the start and finish position is very paramount.

  point A runs 150m east,

   70m west

  100m east

                                       150m

                --------------------------------------------------------→

                                                                   70m

                                                         ←---------------------

                                                                   100m

                                                         -----------------------------------→

The displacement of the athlete  = 150 - 80 + 100  = 180m to the east

Answer:

It spins on the side where it looks shiny.

Explanation:

Answer:

9120-25600 RPM mate

Explanation:

I know your thinking it's crazy because of the other answer. but don't worry i looked it up for ya.

The Biosocial Theory of Dialectical Behavior Therapy (DBT) suggests that a predisposition for high intensity emotions interacts with the presence of an invalidating environment to increase the likelihood of emotion dysregulation.

According to the Biosocial Theory of DBT, individuals with a predisposition for experiencing emotions intensely are more vulnerable to emotion dysregulation. This predisposition may arise from various factors such as biological factors, temperament, or early life experiences. However, the presence of an invalidating environment plays a crucial role in exacerbating this vulnerability.

An invalidating environment refers to an environment in which an individual's emotional experiences and expressions are consistently undermined, invalidated, or dismissed. This can occur within interpersonal relationships, particularly within families or other significant social networks. In an invalidating environment, emotional responses may be trivialized, ignored, or criticized, leading individuals to feel misunderstood, invalidated, and unsupported in managing their emotions.

When a predisposition for high intensity emotions interacts with an invalidating environment, the likelihood of emotion dysregulation increases. The lack of validation and support in managing intense emotions can result in difficulties in effectively regulating and expressing emotions. This can lead to impulsive behaviors, emotional instability, and challenges in coping with distressing situations.

It is important to note that while other factors such as an anxiety-prone household, parents with substance use problems, or a peer group that stresses maladaptive coping skills may also contribute to emotion dysregulation, the Biosocial Theory specifically highlights the role of an invalidating environment in interacting with the predisposition for high intensity emotions.

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you need the number of seconds to calculate the distance. I'm assuming that the seconds were written in the question but you forgot to write the here, you can calculate the distance then and find the exact point where the cyclist stopped since you have the circumference. then you can find the angle (after finding the distance he cycled) by subtracting it from 360 since the circular path will have an angle of 360 degrees.

Although your question lacks some data A general answer is provided :

The angle made vertically  = 360° - x°

where x = angle at which the the cyclist stopped

and circumference of the circular path = Total Distance travelled by the cyclist

First step : determine the distance travelled by the cyclist vertically

circumference = 2*π*r

343 = 2*π * r

∴ r = 343 / ( 2π ) = 54.59

therefore distance travelled by the cyclist vertically = 54.59 * 2 = 109.18 m

Given that the time travelled is missing

assuming the angle to the distance travelled by the cyclist before it stopped vertically = 360° - x°  

This is because the Total angle of a circular path = 360°

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1 - Incident ray

2 - Refracted ray

3 - Angle of incidence

4 - Angle of refraction

The bending of light as it travels through a medium with a varied refractive index is known as refraction. The speed of light changes as it moves from one medium, like air, to another, like water or glass. This causes the light to bend or change direction.

The angle at which the light strikes the interface between the two media and the disparity in refractive indices between the two media determine how much bending takes place. Total internal reflection is a phenomena where all of the light is completely reflected back into the original medium if the angle of incidence is large enough.

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Answer:

y(x, t) = A Sin(ωt ± kx)

Explanation:

Waves can be classifies as either stationary (standing), or progressive (travelling). A progressive wave is one the is a traveling wave, transferring energy along its path. While a stationary wave seems not to be moving.

The general equation for a progressive wave is;

y(x, t) = A Sin(ωt ± kx)

Where: A is its amplitude, t is the time, k is the wave number.

When the wave travels in the positive x-axis direction, the equation changes to;

y(x, t) = A Sin(ωt - kx)

When it travels in the negative x- axis direction, the equation becomes;

y(x, t) = A Sin(ωt + kx)

NB: ω = 2\(\pi\)f and k = 2\(\pi\)/λ.

To increase the boiling temperature of 2051 g of water by 1.500 °C, approximately 3.431 grams of NaCl would need to be added.

Explanation:

The boiling point elevation is determined by the molality of the solute in the solution. The equation for boiling point elevation is:

ΔTb = Kb * m

Where:

ΔTb is the boiling point elevation,

Kb is the boiling point elevation constant for water (0.5100 °C/m),

m is the molality of the solute.

To calculate the molality, we can use the formula:

m = (moles of solute) / (mass of solvent in kg)

Given that we want to increase the boiling temperature by 1.500 °C, and the Kb value is 0.5100 °C/m, we can rearrange the equation to solve for the molality:

m = ΔTb / Kb

m = 1.500 °C / 0.5100 °C/m

m ≈ 2.941 m

To convert molality to mass, we need to know the molecular weight of NaCl. The molecular weight of NaCl is approximately 58.44 g/mol.

Using the formula:

mass of solute = molality * molecular weight of solute * mass of solvent in kg

mass of solute = 2.941 m * 58.44 g/mol * 2.051 kg

mass of solute ≈ 3.431 g

Therefore, approximately 3.431 grams of NaCl would need to be added to 2051 g of water to increase the boiling temperature of the solution by 1.500 °C.

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The equation for free fall at the surface of some planet (s in meters, t in seconds) is s=1.33t^(2), the long it take a rock falling from rest to reach a velocity of 27.2(m)/(s) on this planet is 1.414 seconds.

Free fall is a type of movement that an object undergoes when it falls freely under the effect of gravity. Gravity is a force that acts on every object and makes it move towards the center of the earth or any other celestial body. The acceleration due to gravity is expressed as g, and it is equal to 9.8 m/s² on earth. The time it takes a rock falling from rest to reach a velocity of 27.2 m/s on this planet can be calculated by equating the acceleration due to gravity with the given velocity.

The formula for velocity is given by V=U+at, where V is the final velocity, U is the initial velocity, a is the acceleration, and t is the time taken to reach the final velocity. Under free fall, the initial velocity is zero; therefore, the formula can be simplified to V = at.

Substituting the given values in the formula, we get 27.2=1.33t² × g or 27.2=1.33t² × 9.8.

We can simplify this equation to t² = (27.2)/(1.33 × 9.8) or t² = 2.

The square root of 2 is 1.414. Therefore, the time taken for the rock to reach a velocity of 27.2 m/s on this planet is 1.414 seconds.

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Answer:

elastic potential energy

Explanation:

The situation above shows an example of an "elastic potential energy." This type of potential energy depends on the force being applied to the elastic object.

In the situation above, the elastic object is the rubber band. The resultant energy is then being stored until such time that this object will be freed. Once this happens, the elastic object will revert to its original form and the rock will soar (be released).

The amount of energy that is being stored largely depends on the distance of the "stretch" being applied to the object. It is said that the greater the force, the greater the stretch and the greater the distance covered by the rock (and vice-versa).

Given data:

* The distance traveled by the air conditioner is,

Solution:

As the air conditioner is falling freely under the action of gravity.

Thus, the acceleration of the air conditioner is equal to the acceleration due to gravity.

As the air conditione ris falling itself from the height.

Thus, the initial velocity of the air conditoner is,

By the kinematics equation, the final velocity of the air conditioner is,

Substituting the known values,

Thus, the final velocity of the air conditioner is 21.69 m/s.

By the kinematics equation, the time taken by the air conditioner,

where t is the time taken by the air conditioner to reach the ground,

Substituting the known values,

Thus, the time taken by the air conditioner ot reach the ground is 2.21 seconds.

The answer should be opportunity cost