a scuba diver and her gear displace a volume of 69.6 l and have a total mass of 72.8 kg. a) what is the buoyant force on the diver in seawater?

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Answer 1

The Buoyant force on a scuba diver if, scuba diver and her gear displace a volume of 69.6 and have a total mass of 72.8 kg is 70.86 N.

The Archimedes' principle states that states that the buoyant force is equal to the weight of the fluid displaced by the object.

So, the buoyant force on the diver can be calculated as follows:

Buoyant force = Weight of fluid displaced

It can also be written as

Buoyant force = Density of fluid × Volume of fluid displaced × gravitational acceleration

In seawater, the density is typically about 1025 kg/m³.

First, convert the volume from liters to cubic meters.1 liter = 0.001 m³

69.6 liters = 69.6 × 0.001 = 0.0696 m³

So, the volume of seawater displaced by the diver is 0.0696 m³.

Now, we can calculate the buoyant force.

Buoyant force = 1025 kg/m³ × 0.0696 m³ × 9.81 m/s²

Buoyant force = 70.86 N

Therefore, the buoyant force on the diver in seawater is 70.86 N.

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Related Questions

turns people upside down. people should not drop down. this is due to: gravity. inertia. seat belts. centrifugal force.

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The given statement "turns people upside down" and "people should not drop down" are both due to the centrifugal force.

What is Centrifugal Force?

Centrifugal force is defined as the apparent force that tends to move a rotating body away from the center of rotation. When an object moves in a circular path, a force must act towards the center of the circle to keep it moving in a circle. This force is known as the centripetal force.

The opposite force that acts to push the object away from the center of the circle is called centrifugal force. So, the given statement "turns people upside down" and "people should not drop down" are both due to the centrifugal force.


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an object floating in a container of water and partially submerged has the same density as the water. question 2 options: true false

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The given statement "an object floating in a container of water and partially submerged has the same density as the water" is true.

When an object is placed in water, it sinks until the weight of the water displaced by the object equals the weight of the object.

If an object has the same density as water, it displaces an equal amount of water to its own weight. When it displaces the same amount of water that has an equivalent mass to the object, it will float partially submerged. If the object's density is greater than water, it will sink. If the object's density is less than that of water, it will float entirely above the water's surface.

Density is defined as the mass of an object per unit volume. The formula for density is mass/volume. Density is a crucial physical property that is used to define and classify materials. The density of an object is determined by its mass and volume. The unit of measurement for density is kg/m3 or g/cm3. The density of water is 1 g/cm3, which is why objects with a density of less than 1 g/cm3 float on water.

An object floating in a container of water and partially submerged has the same density as the water.

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which person is weightless? group of answer choices a child in the air as she jumps on a trampoline. an astronaut on the moon. a scuba diver exploring a deep-sea wreck.

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A child in free fall and an astronaut on the moon is will be weightless.

Weightlessness refers to the absence of weight, which is the gravitational force that an object exerts on another object. It occurs when an object is in a state of free fall.

Astronauts, when they're in space, experience weightlessness because they're in a state of free fall. It's the same experience that people would have if they were in an elevator and the cable snapped.

The moon's gravity is about one-sixth of the Earth's gravity. Therefore, an astronaut on the moon would weigh less than on Earth. Even though the astronaut wouldn't be completely weightless, he would be close enough to weightless that it would be hard to notice any difference in weight.

A child in the air as she jumps on a trampoline will also feel weightless when falling freely.

A scuba diver exploring a deep-sea wreck is not weightless. The force of gravity is still acting on the diver, pulling them downwards towards the seafloor. However, because the water provides an upward force called buoyancy, the diver may feel a sense of weightlessness or reduced weight compared to their weight on land. This is because the buoyant force counteracts some of the force of gravity acting on the diver, making them feel lighter. However, the diver still has mass and is not truly weightless.

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a train with a monochromatic headlight is approaching you at a speed of 1 18 c. if a student on the train measures the wavelength of the light to be 590 nm, what do you measure the wavelength (in nm) to be? nm

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The wavelength of the light you measure is 197.53 nm.

Wavelength is a concept that describes the length of one wave. It's typically measured in meters or nanometers in the context of electromagnetic waves, such as light waves.

The student on the train measured the wavelength of light to be 590 nm, and the speed of the train was 1.18c.

λ2 = λ1 / (1 - (v/c)), where λ1 is the wavelength of the light measured on the train, λ2 is the wavelength of the light measured by you, v is the velocity of the train, and c is the speed of light.

λ1 = 590 nm, v = 1.18c, and c = 3.00 x 108 m/s are the values we'll input.λ2 = λ1 / (1 - (v/c)) is the calculation we'll make.

λ2 = 590 nm / (1 - (1.18c / 3.00 x 108 m/s))We'll begin by simplifying the denominator:λ2 = 590 nm / (1 - 3.93 x 10-3)λ2 = 590 nm / 0.99607λ2 = 591.79 nm

We can round our answer to three significant figures, as the original wavelength measurement had three.λ2 = 592 nm.The wavelength of the light you measure is 197.53 nm.

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i need help with the vocab for science

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The words that complete the blanks are;

Refraction

Diffraction

Electromagnetic spectrum

Intensity

Transverse waves

Frequency

Vibration

What is a wave?

A wave is an energetic disturbance in a medium that doesn't include any net particle motion. Elastic deformation, a change in pressure, an electric or magnetic intensity, an electric potential, or a change in temperature are a few examples.

The frequency of a wave is defined as the number of full waves that are generated in a second or the number of vibrations or oscillations that a sound wave experiences as it travels through a medium. Hertz is the SI unit of frequency (Hz).

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consider a hypothetical planet with a radius of 162 million meters and a mass of 1027 kg. what is the density of this planet, in kg/m3? round to the nearest integer.

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The density of the hypothetical planet, in kg/m3, is 6,246 kg/m3

Calculate the volume of the planet in m3

V = (4/3)πr3

V = (4/3)π(162 x 106 m)3

V = 9.30 x 1018 m3

The density of the planet in kg/m3

We know that Density is given as

D = Mass ÷ Volume

D = 1027 kg ÷ 9.30 x 1018 m3

D = 6,246 kg/m3

Density is a measure of mass per unit of volume. It is expressed in terms of mass per volume and is typically measured in kg/m3 or g/cm3. Density is an important physical property of matter as it allows us to compare the mass of different substances at the same volume.

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two people are yelling at the same time. one yells with an intensity level of 80.0 db, and the other at 90.0 db. what is the total sound intensity level?

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The total sound intensity level is approximately 87 dB.

When two sounds with different intensities are present simultaneously, the total sound intensity level is found by adding the individual sound intensity levels in decibels (dB) using the following equation,

L_total = 10 log10(I_total/I_0)

where L_total is the total sound intensity level, I_total is the total sound intensity, and I_0 is the reference sound intensity (usually taken as 10^-12 W/m^2).

In this case, we have two sounds with intensity levels of 80.0 dB and 90.0 dB. To find the total sound intensity level, we first need to convert each intensity level to sound intensity,

I_1 = I_0 10^(L_1/10) = (10^-12 W/m^2) 10^(80.0/10) = 10^-5 W/m^2

I_2 = I_0 10^(L_2/10) = (10^-12 W/m^2) 10^(90.0/10) = 10^-4 W/m^2

where L_1 and L_2 are the intensity levels of the two sounds in dB.

The total sound intensity is the sum of these two sound intensities,

I_total = I_1 + I_2 = 10^-5 W/m^2 + 10^-4 W/m^2 = 1.1 x 10^-4 W/m^2

L_total = 10 log10(I_total/I_0) = 10 log10(1.1 x 10^-4/10^-12) ≈ 87 dB

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Need help with this (Homework)

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Answer:

1. goes to B.

2. goes to D.

3. goes to A.

4. goes to C.

I had to do this in 8th grade so if im wrong sorry.

If im right please mark me brainliest

an emf source with a resistor with and a capacitor with are connected in series. as the capacitor charges, when the current in the resistor is 0.900 a, what is the magnitude of the charge on each plate of the capacitor?

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An emf source with a resistor and a capacitor are connected in series. as the capacitor charges, when the current in the resistor is 0.900 a. The magnitude of the charge on each plate of the capacitor will be: 0.900 A * t.

When an emf source with a resistor and a capacitor are connected in series, the current in the resistor will start decreasing as the capacitor charges up. When the current in the resistor is 0.900 A, the magnitude of the charge on each plate of the capacitor can be determined by the equation:

Q = I * t
where Q is the magnitude of the charge, I is current, and t is the time.

In this case, since the current is 0.900 A, the magnitude of the charge on each plate of the capacitor can be calculated by multiplying the current (0.900 A) by the time (t). The magnitude of the charge on each plate of the capacitor will therefore be 0.900 A * t.

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a telescope has an objective lens with a diameter of 300 mm. an eyepiece with a focal length of 10 mm is used. what is the magnification?

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The magnification of a telescope can be calculated using the following formula: magnification = (objective lens diameter / eyepiece focal length). In this case, the magnification is (300mm / 10mm) = 30x.

The magnification of a telescope is determined by the ratio of the focal length of the objective lens to the focal length of the eyepiece. In this case, the objective lens has a diameter of 300 mm and a focal length of 300 mm, and the eyepiece has a focal length of 10 mm. Therefore, the magnification of the telescope is 30x. To calculate this, we can use the following formula:

Magnification = Objective Lens Focal Length / Eyepiece Focal Length.

Therefore, in this case, the magnification of the telescope is: Magnification = 300 mm / 10 mm = 30x

In conclusion, the magnification of the telescope is 30x.

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what is the name of the furnace that is vertical cylindrical and equipped with a tapping spout near its base.

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The furnace you are referring to is commonly known as a blast furnace that is vertically cylindrical and equipped with a tapping spout near its base.

Blast furnaces are a type of industrial furnace that is used for smelting iron ore into pig iron. They are typically tall, cylindrical structures made of steel, lined with fireproof bricks, and equipped with several openings for charging raw materials, injecting hot air and fuel and tapping molten iron.

The process involves heating the iron ore with coke and limestone in a controlled environment to produce carbon monoxide, which reduces the iron oxide to iron.

The molten iron is then extracted from the furnace through a tapping spout located near its base, while the molten scrape metal, a byproduct of the process, is tapped off separately. Blast furnaces are still used today in the iron and steel industry, although newer technologies are gradually replacing them.

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if 22.5L of nitrogen at 748 mm Hg are compressed to 725 mm hg at constant temperature what is the new volume?

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The new volume is approximately 23.16 L when the nitrogen gas is compressed from 748 mmHg to 725 mmHg at constant temperature.

Use the combined gas law to determine the relationship between a gas's pressure, volume, and temperature:

P1V1/T1 = P2V2/T2

where the gas's starting pressure, volume, and temperature are P1, V1, and T1, and its ultimate pressure, volume, and temperature are P2, V2, and T2.

The equation may be made simpler by saying: since the temperature is constant.

P1V1 = P2V2

Substituting the given values, we get:

725 mmHg × V2 = 748 mmHg × 22.5 L

Solving for V2, we get:

V2 = (748 mmHg × 22.5 L) / 725 mmHg

V2 = 23.16 L

A gas law known as the combined gas law connects a gas's pressure (P), volume (V), and temperature (T). It combines Boyle's law, Charles' law, and Gay-law, Lussac's three additional gas laws.

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There are many ways to reduce the amount of waste that we produce. Which of the following is not a reduction or minimization strategy?a)purchasing items that are reusable
b)reduced packaging
c)buying individually packaged items, not in bulk container
d)recycling
e)reducing the amount that a consumer purchases

Answers

There are many ways to reduce the amount of waste that we produce. Which of the following is not a reduction or minimization strategy" is: C) Buying individually packaged items, not in bulk container.

Reducing the amount of waste is an important environmental measure, and minimizing waste is a must for a sustainable future, the world produces over 3.5 million tons of waste each day. As a result, it is essential to implement effective waste management strategies to avoid environmental consequences. Some of the strategies for reducing waste are reduce and reuse, this is the most effective way to minimize waste because it reduces the amount of waste that enters the waste stream.

Reduced packaging, an effective way of minimizing waste is reducing the amount of packaging. Less packaging means less waste, and it also saves on costs. Buying items that are reusable, reusable items, like shopping bags and water bottles, are an excellent way to minimize waste. Recycling helps to reduce the amount of waste in the environment by reusing materials. Reducing the amount that a consumer purchases, buying less and using less is the best way to minimize waste. So, the correct answer is option C) Buying individually packaged items, not in bulk container.

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will you run down your car battery if you have electrical accessories running while needing lots cranking to get the engine started?

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Yes, running electrical accessories while needing lots of cranking to start the engine will run down the car battery. The electrical accessories include headlights, radio, air conditioning, seat warmers, GPS system, power windows, and more.

Automobiles use rechargeable batteries known as lead-acid batteries. The battery serves two purposes in an automobile. The first function is to start the engine. The second function is to provide electrical energy to the automobile's electrical system when the alternator is not operational. If the battery is not working correctly, the automobile will not start, and the electrical accessories will not work.

The battery will run down when electrical accessories are running because the battery's stored electrical energy is being consumed by electrical accessories. When the engine is running, the alternator charges the battery, and the electrical accessories receive their energy from the alternator. If the battery has insufficient stored electrical energy or is not receiving a charge from the alternator, the electrical accessories will stop functioning.

Electrical accessories running while needing lots of cranking to get the engine started will drain the battery faster than using electrical accessories while the engine is running. This is because the battery must provide energy to start the engine while simultaneously powering the electrical accessories. If the battery is not charged enough, the engine will not start, and the battery will be drained even more. Therefore, it is advisable to turn off all electrical accessories when trying to start the engine.

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how much water should be taken up by a plant when the air around it is completely saturated with water - 100 percent humidity.

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The amount of water that a plant should take up when the air around it is completely saturated with water, i.e. 100 percent humidity, is the maximum amount of water the plant is capable of taking up from the environment. This is because there is no water left in the air for the plant to absorb.

What is humidity?

Humidity refers to the amount of moisture present in the air. The humidity in the air is an important factor for the growth of plants. Humidity refers to the amount of moisture present in the air. The humidity in the air is an important factor for the growth of plants. In addition, the amount of water vapor present in the air determines how much water a plant can take up. As a result, humidity can play an important role in plant water uptake.

When the air around the plant is completely saturated with water, it means that the air has reached its maximum capacity for water vapor. The relative humidity, in this case, is 100%. When the air is completely saturated with water, it becomes difficult for the plant to take up any more water from the environment, as there is no water left in the air to absorb.

Therefore, the amount of water that a plant can take up is limited by the amount of water vapor present in the air.

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Calculate and compare the gravitational force and the electrical force between two protons that are separated by 1.2 x 10-15 m (G = 6.67 x 10-11 Nm2/kg2, e = 1.60 x 10-19 C, mp = 1.67 x 10-27 kg).

Answers

The  comparison between the gravitational force and the electrical force between two protons that are separated by 1.2 x 10-15 m is 4.47 * 10⁻⁴⁰

What is gravitational force ?

Gravitational attraction between the universe's original gaseous matter allowed it to coalesce and form stars, which eventually condensed into galaxies, so gravity is responsible for many of the universe's large-scale structures. Gravity has an infinite range, but its effects weaken as objects move further away. The general theory of relativity (proposed by Albert Einstein in 1915) most accurately describes gravity as the curvature of spacetime caused by the uneven distribution of mass, causing masses to move along geodesic lines.

using the formula

F = G [tex]\frac{M1 * M2}{R * R}[/tex]

FORCE COMES OUT TO BE ;

4.47 * 10⁻⁴⁰

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a curve in a road forms part of a horizontal circle. as a car goes around it at constant speed 14.0 m/s, the horizontal total force on the driver has magnitude 149 n. what is the total horizontal force on the driver if the speed on the same curve is 23.9 m/s instead

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The total horizontal force on the driver when the speed on the same curve is 23.9 m/s is approximately 570.5 N.

To find the total horizontal force on the driver when the speed on the same curve is 23.9 m/s instead, we can use the concept of centripetal force. The centripetal force Fc is given by the formula: [tex]Fc = (mv^2) / r[/tex], where m is the mass of the driver, v is the speed of the car, and r is the radius of the curve.

First, we need to determine the mass of the driver using the given information:
149 N =[tex](m * (14.0 m/s)^2) / r[/tex]

We can rearrange the equation to find the mass: m =[tex](149 N * r) / (14.0 m/s)^2[/tex]
Now we want to find the centripetal force at the new speed of 23.9 m/s.

We can use the same formula: [tex]Fc_new = (m * (23.9 m/s)^2) / r[/tex]


We can substitute the mass equation we found earlier into this equation:
[tex]Fc_new = ((149 N * r) / (14.0 m/s)^2) * (23.9 m/s)^2 / r[/tex]
The r values cancel each other out, leaving: [tex]Fc_new = 149 N * (23.9 m/s)^2 / (14.0 m/s)^2[/tex]

Now, calculate the new force:
[tex]Fc_new = 149 N * (23.9^2 / 14.0^2) ≈ 570.5 N[/tex]
So, the total horizontal force on the driver when the speed on the same curve is 23.9 m/s is approximately 570.5 N.

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A car with its hom sounding approaches a group of students. Assume the car's horn produces sound waves with
constant frequency. Which of the following statements best explains why the students hear a higher pitch as the ca
approaches than when it is stopped?
The sound waves incr
in sneed as the car approaches the students

Answers

The sound waves are heard at a higher frequency as the car approaches the students.

a puzzle to think about: two weights of mass 1kg hang from strings which go over pulleys. the strings attach to two ends of a scale, which itself has negligible mass. does the scale read 0 n, 10 n, or 20 n? why?

Answers

Mass of weight is 10 N.

The scale reads the tension on both sides which is 9.8N each.

Let's first draw a free body diagram for both the blocks.

Free Body Diagram for both blocks and PulleyMass 1:

Taking the direction of motion to be upwards for Mass 1,

we can see that the net force in the upward direction is

Tension(T) - mg = 0

where m = mass of the block which is 1 kg.

Hence, T = mg = 1 x 9.8 = 9.8 N

Therefore, the tension in the string attaching Mass 1 to the scale is 9.8 N.

Mass 2: Taking the direction of motion to be upwards for Mass 2,

we can see that the net force in the upward direction is T - mg = 0

where m=mass of the block which is 1 kg.

Hence, T = mg = 1 x 9.8 = 9.8 N

Therefore, the tension in the string attaching Mass 2 to the scale is 9.8 N.

Scale: The net force acting on the scale is 0 as the weights are hanging still,

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If an interstellar cloud lies between Earth and a hot star, we can detect its presence in the stellar spectrum of the star. Which of the following properties of the cloud can be determined from the stellar spectrum?
temperature
velocity
density
elemental abundance

Answers

If an interstellar cloud lies between Earth and a hot star, we can detect its presence in the stellar spectrum of the star. From the stellar spectrum, the elemental abundance property of the interstellar cloud can be determined.Correct answer is option 4)elemental abundance

An interstellar cloud is a cloud of gas and dust situated in a galaxy or between galaxies that constitutes the raw material for stars and planets. Molecular hydrogen (H2) accounts for the majority of the cloud, with trace amounts of other molecules, such as helium, and ionized gas.The elemental abundance property of the interstellar cloud can be determined from the stellar spectrum. A spectral line refers to the electromagnetic radiation emitted or absorbed when electrons in atoms or molecules transition between energy levels. By analyzing a stellar spectrum, it's possible to see which elements and their isotopes are present in the star's atmosphere by looking for these spectral lines. As a result, by examining a star's spectrum, one can determine the elemental abundance of the interstellar cloud between the Earth and the star.In conclusion, from the stellar spectrum, the elemental abundance property of the interstellar cloud can be determined.Correct answer is option 4)elemental abundance

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g two waves of light, wave a and wave b have the same speed. wave a has a wavelength of 235 nm and wave b has a wavelength of 515 nm. what can you say about the frequency?

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Because both waves travel at the same speed, we know they must have distinct frequencies in order to have different wavelengths. This is due to the fact that the speed of light in a particular medium is constant,

and the frequency of a wave is inversely related to its wavelength. The speed of light (c) is equal to the product of the wavelength () and frequency (f) in the wave equation: c = f. Because the speed of light is constant, we may rewrite this equation to find frequency: f = c/. We have the following for wave a with a wavelength of 235 nm:

[tex]f_a = \frac{3.00 * 10^8 m/s}{235 * (10-9) m} = 1.28 x 10^{15} Hz[/tex]

We have the following for wave b with a wavelength of 515 nm:

[tex]f_b[/tex] = c / λ b  = 3.00 x 10⁸ m/s / (515 x 10⁻⁹ m) = 5.83 x 10¹⁴ Hz

Therefore, we can see that wave a has a higher frequency than wave b.

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identify a star that is white in color
a. canopus b. betelgeuse c. deneb d. aldebaran

Answers

Answer:

(option a)

Explanation:

The star that is white in color is Canopus. Betelgeuse is a red supergiant, Deneb is a blue-white supergiant, and Aldebaran is an orange giant.

Answer:

A. Canopus

Explanation:

Canopus is a first-magnitude star in the constellation Carina: the second brightest star in the heavens.

Which star is brighter, Sirius or Canopus, and why?

From Earth Sirius appears to be about twice as bright as Canopus. However, Sirius is only 8.6 lightyears from us, but Canopus is 310 lightyears away. Since light dims by the square of the distance we can say that if they were of equal apparent brightness Canopus would be (310/8.6)^2 or 1,300 time brighter.

In actuality, Sirius is 25.4 times as luminous as the sun, while Canopus is 10,700 times more luminous. So Canopus is 421 times brighter than Sirius. If you are asking why the brighter one looks dimmer, I have answered that.

If you are asking why Canopus is actually so much brighter than Sirius, I will try to answer that now. Stars are powered by atomic reactions that go on in or near the core. These reactions are caused by extreme heat and pressure. These are caused by the weight of the star crushing down from above. The larger the star the greater the heat and pressure, the faster the star burns its fuel, and the brighter it is. Sirius is just a bit over twice the mass of the sun (2.063), but Canopus is between 8 and 10 times as hefty as the sun.

Stars use the heat and pressure in the core to turn hydrogen into helium, which results in light. When it runs out of hydrogen the star starts to collapse. That generates more pressure and heat and allows the star to turn helium into carbon. This makes the star swell up and its surface temperature cools. The larger the star is cooler, but it has many times the surface area to generate light. Canopus is now burning helium and has swollen, but its surface temperature is still 3/4 that of Sirius. Sirius is only 1.7 times the width of the sun, but Canopus is 71 times bigger or 1,750 times the surface area.

If you did not catch all of that, I’ll sum it up. Canopus is more massive, and has a MUCH bigger size than Sirius. This allows it to produce a lot of light on its MUCH larger surface area and to radiate it out into space.

for an incandescent bulb, initial cost may be high but the energy costs will be low over its life time. (1 point) group of answer choices true false

Answers

True. An incandescent bulb may have a higher initial cost than other types of lightbulbs, but it uses less energy over its lifetime and thus reduces energy costs.


For an incandescent bulb, the given statement is true. In candescent bulbs are traditional bulbs, which use a filament to create light. These bulbs are less efficient, as they waste most of the electricity they use as heat rather than light. As a result, the bulbs are less cost-effective in the long run.

They use up more energy than modern alternatives such as CFLs (compact fluorescent lights) or LEDs (light-emitting diodes). Despite their low initial cost, incandescent bulbs are not recommended for long-term use. They consume more electricity and thus have a greater impact on the environment. Therefore, it is not true that the energy costs of an incandescent bulb will be low over its life time.

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newtons first law can be applied to a. static equilibrium. b. inertial equilibrium. c. dynamic equilibrium. d. both a and b. e. both a and c.

Answers

Newton's first law can be applied to both static equilibrium and dynamic equilibrium. Thus, both a and c is correct.

Newton's First Law states that an object will remain at rest or in motion in a straight line unless acted on by an external force. This means that static equilibrium, which is a state in which the sum of all forces acting on an object is equal to zero, is an example of Newton's First Law.

A dynamic equilibrium, which is a state in which the sum of all forces acting on an object is equal to its acceleration, is also an example of Newton's First Law.

Therefore, the correct answer is e. both a and c.

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Satellite A is thrown at 8 km/s. Satellite B is thrown 15 km/s. Describe below the difference in satellite A and satellite B’s motions.

Answers

The description of both satellite A and satellite B’s motions are stated below.

Description of satellite A and satellite B’s motions

A satellite is an object that orbits another object, such as a planet or moon. It is usually a man-made object and can be used for a variety of purposes, such as communications, navigation, weather forecasting, and scientific research.

Satellite A will travel at a slower speed than Satellite B. Satellite A will experience less acceleration due to its lower starting velocity, causing it to travel a shorter distance and take a shorter amount of time to reach its destination.

Satellite B will experience greater acceleration due to its higher starting velocity, causing it to travel a longer distance and take a longer amount of time to reach its destination.

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a force f applied to an object of mass m1 produces an acceleration of 7.36 m/s2. the same force applied to a second object of mass m2 produces an acceleration of 2.62 m/s2. what is the value of the ratio m1/m2?

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The value of the ratio m1/m2 is approximately 0.3559.

Given that a force F applied to an object of mass m1 produces an acceleration of 7.36 m/s², and the same force applied to a second object of mass m2 produces an acceleration of 2.62 m/s².To find the value of the ratio m1/m2, we can use the equation: F = ma Where, F = force m = mass a = acceleration. We have F and a for both objects, and we need to find the ratio of masses m1/m2.Let's write the equation for both objects and then divide the two equations:For object 1:F = m1a1------------------------(1)For object 2:F = m2a2------------------------(2)Dividing the equation (1) by equation (2):m1a1/m2a2 = m1/m2 = (F/m1a1)/(F/m2a2)= (m2a2/F)/(m1a1/F)Now, substituting the values of a1, a2, and F, we get:m1/m2 = (m2 x 2.62)/(m1 x 7.36)= 2.62m2/7.36m1= 0.3559(m2/m1)Therefore, the value of the ratio m1/m2 is approximately 0.3559.

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you take two similar photos. the settings for proper exposure are: iso 100, f-5.6 at 1/60 shutter speed. you want to shoot a photo at 1/500 shutter speed, but keep your f-stop at 5.6. to compensate for the difference in light, what will you set your iso in order to keep proper exposure?

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Consequently, we must set the ISO to 800 when shooting at 1/500 shutter speed and f/5.6 aperture to preserve adequate exposure.

What does the 500 shutter speed rule mean?

It suggests setting your shutter speed to 500 Equivalent Focal Length. The 500 rule therefore advises using a shutter speed of 500 20 = 25 seconds if your full-frame equivalent focal length is 20mm.

By increasing the shutter speed from 1/60 to 1/500, it is necessary to account for the variation in light.

The difference in exposure between 1/60 and 1/500 is approximately 3 stops (1/60 → 1/125 → 1/250 → 1/500).

Hence, we must also raise the ISO by three stops in order to account for this difference in shutter speed.

Starting with ISO 100, increasing the ISO by 3 stops will give us:

ISO 100 → ISO 200 (1 stop) → ISO 400 (2 stops) → ISO 800 (3 stops)

Consequently, we must set the ISO to 800 when shooting at 1/500 shutter speed and f/5.6 aperture to preserve adequate exposure.

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define the partition function and the boltzmann factor as applied to a set of microstates each occupying defined energy levels. how is boltzmann factor used to estimate the probability of energy states being occupied

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In statistical mechanics, the partition function (denoted as Q) is a mathematical function that describes the distribution of energy among the possible microstates of a system in thermodynamic equilibrium. The partition function depends on the energy levels and degeneracies of the system, as well as on the temperature and other external parameters.

The Boltzmann factor (denoted as e^(-E/kT)) is a term that appears in the partition function and represents the probability of a system occupying a particular energy level. Here, E is the energy of the level, k is the Boltzmann constant, and T is the temperature of the system in Kelvin. The Boltzmann factor is derived from the Boltzmann distribution, which is a probability distribution that describes the occupation of energy levels in a system.

The Boltzmann factor can be used to estimate the probability of a system occupying a particular energy state by comparing the Boltzmann factors for different states. The ratio of the Boltzmann factors for two energy states gives the relative probability of the system occupying each state. For example, if the ratio of the Boltzmann factors for two energy levels is 10:1, then the system is 10 times more likely to occupy the lower energy level than the higher energy level at that temperature.

Overall, the partition function and the Boltzmann factor are fundamental concepts in statistical mechanics that allow us to describe the distribution of energy among the microstates of a system in thermal equilibrium and estimate the probability of the system occupying specific energy states.

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c) the rubber band is stretched under a constant tension. will it shrink when you warm the rubber band under the constant tension? do your analysis.

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c) The rubber band is stretched under a constant tension. when you warm the rubber band under the constant tension it will expand instead of shrinking.

If you warm the rubber band while keeping it under constant tension, it will expand instead of shrinking. This occurs due to the fact that the rubber band's atoms begin to vibrate more as a result of the heat. This vibrating motion produces more space between the atoms, causing the rubber band to expand.

The original condition of the rubber band under constant tension is when a rubber band is stretched, it has an intrinsic tendency to restore its original size and shape when the tension is released. It implies that if the rubber band is heated, it will also restore its original size and shape once the tension is released. It will take the same size as it had before being stretched.

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to form cloud droplets in the sky, water vapor molecules must have a surface on which to adhere, a (an) .

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To form cloud droplets in the sky, water vapour molecules must have a surface on which to adhere, a nucleus.

What is Cloud? Cloud is a combination of tiny water droplets or ice crystals that float in the air. Clouds are one of the sky's most beautiful and fascinating features. They come in a variety of forms, including white wispy cirrus clouds to big grey thunderclouds. These vapour droplets are very tiny, about 10 microns in diameter, and can be seen only when they reflect light. What is a nucleus? A nucleus is a tiny particle that serves as a foundation or centre around which other particles aggregate. Aerosols, like dust or salt, are frequently used as nuclei for cloud droplets to develop. It's also worth noting that a surface has to be stable to allow water droplets to form. A dust particle, for example, could be an excellent nucleus for water droplets to develop because it has a stable surface.

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