How many Earths could fit inside Jupiter (assuming you could fill up all the volume)? The equation for the volume of a sphere is V=(43)πr3V=(43)πr3. (The radius of Jupiter is RJupiterRJupiter = 71492 kmkm.)Express your answer using three significant figures.

Answers

Answer 1

The number of earths that could fit  inside Jupiter is 6000 where the radius of Jupiter is 71492 km.

Given the volume of a sphere is (V) =[tex](4/3)*\pi*R^3[/tex]

The radius of Jupiter is (RJupiter) = 71492 km

Then the volume of Jupiter is (VJupiter) = [tex](4/3)*\pi*(71492)^3[/tex]

VJupiter = [tex]6.6 * 10^{15} km^3.[/tex]

We know the radius of earth = Re = 6371km

Then the volume of earth (Ve) =[tex]4/3 * \pi * (6371)^3[/tex]

Ve =  [tex]1.08 * 10^{12} km^3.[/tex]

Let the number of earths that could fit inside Jupiter = n

Therefore, n = VJupiter/VEarth

n = [tex]6.6 * 10^{15} km^3/1.08 * 10^{12} km^3 = 6 * 10^3[/tex], = 6,000 Earths.

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Related Questions

Estimat the number and wattage of lamps. which would be required to illuminate a workshop space 60x1.5 meteres by means of lamps mounted 5 metres above the working Plane The average illumination required is about 100 wt. coefficient of utilisation = 0.4 luminous efficiency 16 lumens per watt. Assume a space-height ratio of unity and a cundle Power depreciation of 20%​

Answers

The number and wattage of lamps required to illuminate the workshop would be approximately 8 lamps and 70 watts respectively.

Wattage calculation

To estimate the number and wattage of lamps required to illuminate a workshop space of 60x1.5 meters, we can follow these steps:

Calculate the area of the workshop:

Area = length x widthArea = 60m x 1.5mArea = 90 square meters

Determine the total lumens required:

Lumens = area x average illuminationLumens = 90 sq m x 100 luxLumens = 9000 lumens

Adjust for the coefficient of utilization and luminous efficiency:

Effective lumens = lumens / (coefficient of utilization x luminous efficiency)Effective lumens = 9000 / (0.4 x 16)Effective lumens = 1406.25 lumens

Adjust for space-height ratio and candle power depreciation:

Effective lumens per lamp = effective lumens x space-height ratio x (1 - depreciation)Effective lumens per lamp = 1406.25 x 1 x (1 - 0.2)Effective lumens per lamp = 1125 lumens

Determine the number of lamps required:

Number of lamps = total lumens required / effective lumens per lampNumber of lamps = 9000 / 1125Number of lamps = 8 lamps (rounded up)

Determine the wattage of each lamp:

Wattage per lamp = effective lumens per lamp / luminous efficiencyWattage per lamp = 1125 / 16Wattage per lamp = 70.3 watts (rounded up)

Therefore, approximately 8 lamps with a wattage of 70 watts each would be required to illuminate the workshop space.

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1.- What is net net charge on the sweater? Why?
2.- What is the net charge on the balloon? Why?

ASAP pls and thank you!!

Answers

When students brush balloons against their wool sweaters or hair, electrons are moved from the wool or hair to the balloon. As a result, the balloon has a net negative charge, whereas the garment or hair, having shed negative charges, has a net positive charge.

What is net charge?

The term "net" refers to the sum after both positive and negative costs have been deducted. So, if something has 321 positive charges and 319 negative charges, the overall charge is 321 - 319 = +2. The overall charge is 37 - 42 = -5 if it includes 37 positive charges and 42 negative charges.

Electrons are negatively charged, whereas protons are favourably charged. Atoms have an identical amount of electrons and protons and have a net charge of zero. This makes atoms always neutral.

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How would you ensure that the food you have prepared remains hot till you reach to hospital?​

Answers

Employ heat packs to keep food warm during delivery. To keep the food as warm as possible and the heat packs well-insulated, place them directly in the bag with the food containers.

Suppose a NASCAR race car rounds one end of the Martinsville Speedway. This end of the track is a turn with a radius of approximately 57.0 m . If the track is completely flat and the race car is traveling at a constant 27.5 m/s (about 62 mph ) around the turn, what is the race car's centripetal (radial) acceleration? What is the Coefficient of friction?

Answers

Answer:

Explanation:

The centripetal acceleration of the race car is given by the formula:

a = v^2 / r

where v is the speed of the race car and r is the radius of the turn.

Substituting the given values, we get:

a = (27.5 m/s)^2 / 57.0 m = 13.3 m/s^2

So the centripetal acceleration of the race car is 13.3 m/s^2.

To find the coefficient of friction, we need to use the formula:

f = μN

where f is the force of friction, μ is the coefficient of friction, and N is the normal force.

The normal force is equal to the weight of the car, which we can calculate as:

N = mg

where m is the mass of the car and g is the acceleration due to gravity (9.81 m/s^2).

Assuming the mass of the car is 1500 kg, we get:

N = 1500 kg × 9.81 m/s^2 = 14,715 N

The force of friction is equal to the centripetal force required to keep the car moving in a circle:

f = ma = (1500 kg)(13.3 m/s^2) = 19,950 N

Substituting the values of N and f into the formula for friction, we get:

19,950 N = μ(14,715 N)

Solving for μ, we get:

μ = 1.35

So the coefficient of friction is 1.35.

I need some help with this question

Answers

The speed of the ball when it leaves the gun is approximately 17.66 m/s.

Steps

To determine the speed of the ball when it leaves the gun, we can use the principle of conservation of energy. At the moment when the trigger is pulled, the spring has a potential energy equal to:

U = (1/2) k x²

where k is the spring constant and x is the amount by which the spring is compressed from its unstretched length. Using the given values, we have:

U = (1/2) (20 N/m) (0.0125 m)² = 1.5625 mJ

When the spring is released, this potential energy is converted into kinetic energy of the ball, as well as work done against friction. The work done against friction is equal to:

W = f_friction x

where f_friction is the frictional force between the ball and the barrel, and x is the distance that the ball moves along the barrel. Using the given values, we have:

W = (0.02 kg) (9.81 m/s²) (0.20) (0.05 m) = 0.01962 J

The kinetic energy of the ball is equal to the difference between the potential energy of the spring and the work done against friction:

K = U - W = 1.5625 mJ - 0.01962 J = 1.5429 J

The speed of the ball when it leaves the gun is equal to the:

v = sqrt(2K/m)

where m is the mass of the ball. Using the given value of 20 g, we have:

m = 0.02 kg

Substituting the values and evaluating the expression, we get:

v = sqrt(2(1.5429 J)/(0.02 kg)) = 17.66 m/s

Therefore, the speed of the ball when it leaves the gun is approximately 17.66 m/s.

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If you have just used a velocity selector for electrons and you wish to use it to choose positrons with the same speed, do you have to change any settings which are related to electric field and magnetic field on the velocity selector? Explain your answer with the aid of labelled diagram. [4 marks]​

Answers

Answer:

Explanation:

Yes, to select positrons with the same speed as the electrons, the settings for the electric and magnetic fields on the velocity selector need to be changed.

The velocity selector works by applying both an electric field and a magnetic field perpendicular to each other, as shown in the diagram below:

              |                       B

              |                  /--------->

              |                /       /

              |              /       /

              |            /       /

    V        |        /       /

 <----------|__/___/_____________

              |        E

The electrons or positrons enter from the left with an initial velocity, V. The electric field E and magnetic field B are adjusted such that only particles with a specific velocity will be able to pass through the velocity selector and reach the detector on the right.

To select positrons with the same speed as the electrons, the direction of the electric field needs to be reversed. This is because the electric force on a positively charged particle is in the opposite direction of the force on a negatively charged particle. Therefore, if the electric field is reversed, the force on the positron will be in the same direction as the force on the electron. This will allow the positrons with the same speed as the electrons to pass through the velocity selector.

The magnetic field does not need to be changed, as it only affects the trajectory of the particles and not their speed. Therefore, the magnetic field will remain the same as it was for the electrons.

In summary, to choose positrons with the same speed as electrons using the velocity selector, only the direction of the electric field needs to be reversed, while the magnetic field remains the same.

What is the frequency of blue light that has a wavelength of 448 nm?

Answers

Answer:

The frequency of light can be calculated using the following formula:

frequency = speed of light / wavelength

where the speed of light is approximately 299,792,458 meters per second.

First, we need to convert the given wavelength from nanometers to meters:

448 nm = 448 × 10^-9 m

Now we can plug in the values and solve for frequency:

frequency = (299,792,458 m/s) / (448 × 10^-9 m)

frequency = 6.69 × 10^14 Hz

Therefore, the frequency of blue light with a wavelength of 448 nm is approximately 6.69 × 10^14 Hz.

imagine that the blue light and orange light from the source were blocked. what color would how be present in the spectrum of light observed

Answers

Everything but blue & orange would now be present in the spectrum of light observed.

Spectrum refers to a range of different wavelengths of electromagnetic radiation. Electromagnetic radiation is a form of energy that travels through space and includes different types such as radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. Each type of electromagnetic radiation has a different wavelength and frequency, and together they make up the electromagnetic spectrum.

The concept of spectrum is used in a variety of fields, including physics, astronomy, and telecommunications. The spectrum of electromagnetic radiation is essential for many technologies, such as radios and televisions, cell phones, and medical imaging devices, as they all rely on the transmission and reception of specific wavelengths of electromagnetic radiation.

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Complete Question: -

Imagine that the blue light and orange light from the source were blocked. What color(s) would now be present in the spectrum of light observed?

a banked curve is safer than a flat curve because the ___ force required to keep the car from skidding is supplied by the horizontal component of the ___ force instead of friction.

Answers

Answer:

centripetal, normal

think back to what you've done so far - what are the factors that affect the temperature of the earth?

Answers

Greenhouse gases, Albedo , Orbital variations ,Solar radiation and Volcanic activity these are the factors that affect the temperature of the earth.

There are many factors that affect the temperature of the Earth, including the following:

Greenhouse gases: Certain gases, such as carbon dioxide, methane, and water vapor, trap heat in the Earth's atmosphere and cause the planet to warm up. As greenhouse gas emissions increase due to human activity, such as burning fossil fuels, the Earth's temperature is expected to continue to rise.

Albedo: This is a measure of how much light the Earth reflects back into space. When the Earth's surface is covered in snow or ice, it has a high albedo and reflects more light. When the Earth's surface is covered in dark vegetation or water, it has a low albedo and absorbs more light, which causes it to warm up. Changes in land use, such as deforestation, can also affect the Earth's albedo.

Orbital variations: The Earth's orbit around the sun changes over time due to gravitational interactions with other planets. These variations can affect the amount of sunlight that reaches different parts of the Earth and cause climate patterns to shift. For example, changes in the tilt of the Earth's axis can lead to changes in the seasons.

Solar radiation: The amount of energy the Earth receives from the sun varies over time due to changes in the sun's output and the Earth's position in its orbit. This can affect the Earth's climate, especially over long periods of time. For example, changes in solar radiation are thought to have contributed to past ice ages.

Volcanic activity: When a volcano erupts, it releases large amounts of gases and particles into the atmosphere. This can cause the Earth's temperature to drop temporarily by blocking sunlight. However, over longer periods of time, volcanic activity can also release greenhouse gases and cause the Earth to warm up.

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Select the correct answer. In a given chemical reaction, the energy of the products is greater than the energy of the reactants. Which statement is true for this reaction? A. Energy is absorbed in the reaction. B. Energy is released in the reaction. C. No energy is transferred in the reaction. D. Energy is created in the reaction. E. Energy is lost in the reaction. Reset Next

Answers

A - energy is absorbed during the reaction

Two blocks of unequal mass are tied together with a massless string that does not stretch and connected via a frictionless and massless pulley. Mass one, M1, rests on a frictionless table top. Mass two, M2, is released and both blocks begin to move....
The blocks accelerate at the same rate since they are connected. What is the acceleration?

Answers

The blocks accelerate at the same charge for the reason that they're linked. The acceleration is a value between zero and g.

Acceleration is a physical concept that refers to the rate of change of an object's velocity with respect to time. When an object's velocity changes, either by speeding up or slowing down, it is said to be accelerating.

Acceleration plays an important role in many aspects of physics, from the motion of celestial bodies to the behavior of particles in a particle accelerator.  The magnitude of acceleration is the rate at which an object's velocity changes, and it is measured in units of meters per second squared (m/s^2) in the International System of Units (SI). There are several factors that can cause an object to accelerate, such as a force acting on it, a change in its direction of motion, or a combination of both.

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A 30.0-kg box is being pulled across a carpeted floor by a horizontal force of 230 N , against a friction force of 210 N . What is the acceleration of the box?
Please answer only part E

Answers

A 30.0-kg box is being pulled across a carpeted floor by a horizontal force of 230 N , against a friction force of 210 N . The acceleration of the box is 0.667 m/s².

The acceleration of the box can be calculated using the formula:

acceleration = (Net force) / (mass)

The given values in the question are:

mass of the box = 30.0 kg

force applied on the box = 230 N

friction force acting on the box = 210 N

Now, let's calculate the net force acting on the box:

Net force = (force applied) - (friction force)= 230 N - 210 N= 20 N

Thus, the net force acting on the box is 20 N.

Using the formula mentioned above, the acceleration of the box can be calculated as:

acceleration = (Net force) / (mass)

                    = 20 N / 30.0 kg

                    = 0.667 m/s²

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can you please help me ASAP​

Answers

Answer :-

1. Based on the periodic trends for ionization energy, which element has the highest ionization energy?

Ans. C. Helium (He) ✔️

2) Nitrogen has a larger atomic radius than oxygen.

Ans. B.) False ✔️

3) Which has more metallic character, Lead (Pb) or Tin (Sn)?

Ans. Lead has more metallic character.

4.) Which element has a higher melting point chlorine (Cl) or bromine (Br)?

Ans. Bromine (Br) has a higher melting point

5) Which element is more electronegative, sulfur (S) or selenium (Se)?

Ans. Selenium (Se)

6) Why is the electronegativity value of most noble gases zero?

Ans. Because Noble gases has fully filled valance shell and thus cannot accept or donate any electron. So, electronegativity value of most noble gases is zero.

7) Arrange these atoms in order of decreasing effective nuclear charge by the valence electrons: Si, Al, Mg, S

Ans. S, Si, Al, Mg

8) Rewrite the following list in order of decreasing electron affinity fluorine (F), phosphorous (P). sulfur (S), boron (B).

Ans. F, Cl, Br, I

9) An atom with an atomic radius smaller than that of sulfur (S) is

Ans. A.) Oxygen (O) ✔️

10) A nonmetal has a smaller ionic radius compared with a metal of the same period.

Ans. A) True ✔️___________________

If the constant force F0 is applied to stretch a material described by the Maxwell model, what would be the initial elongation value at t=0.-0-F0/k-F0/(k+n)-F0/(k+(n/t))

Answers

The initial elongation of the material described by the Maxwell model is given by the formula, initial elongation = [tex]F_0[/tex]/k.

The initial elongation value at t=0 for the material described by the Maxwell model is given by the formula, initial elongation = [tex]F_0[/tex]/k.

Here, k represents the spring constant of the material.

Let's understand this in detail.

The Maxwell model is a type of viscoelastic model that is used to describe the behavior of certain materials. It is made up of a spring and a dashpot in series.

The spring represents the elastic component of the material and the dashpot represents the viscous component of the material.

In this model, the deformation of the material depends on the applied force as well as the time duration for which the force is applied.

The formula to calculate the initial elongation of the material is given by:

initial elongation = [tex]F_0[/tex]/k

where [tex]F_0[/tex] is the force applied to stretch the material and k is the spring constant of the material. The spring constant of a material is defined as the amount of force required to stretch the material by one unit.

The initial elongation of the material is calculated using the spring constant of the material. The spring constant represents the amount of force required to stretch the material by one unit.

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One end of a massless, 30-cm-long spring with a spring constant of 15 N/m is attached to a 250 g stationary air-track glider; the other end is attached to the track. A 600 g glider hits and sticks to the 250 g glider, compressing the spring to a minimum length of 22 cm . What was the speed of the 600g glider just before impact?

Answers

tThe speed of the 600 g glider just before impact was approximately 0.4 m/s.

What is the speed of the glider?

To solve this problem, we need to use the conservation of mechanical energy, which states that the initial mechanical energy is equal to the final mechanical energy in a system.

Before the collision, the 250 g glider is stationary, so its kinetic energy is zero. The 600 g glider has an initial kinetic energy of:

KEi = ½ mv²

where;

m is the mass of the 600 g glider and v is its initial velocity.

After the collision, the two gliders move together as a single system, and the spring is compressed to a minimum length of 22 cm. At this point, all of the kinetic energy of the system has been converted into potential energy stored in the compressed spring.

The potential energy stored in a spring is given by:

PE = ½ kx²

where;

k is the spring constant and x is the displacement of the spring from its equilibrium position.

In this case, the spring is compressed by 30 cm - 22 cm = 8 cm = 0.08 m

from its equilibrium position, so the potential energy stored in the spring is:

PE = ½ kx² = ½ (15 N/m) (0.08 m)² = 0.048 J

Since the total mechanical energy is conserved, we can equate the initial kinetic energy of the 600 g glider to the final potential energy stored in the spring:

KEi = KEf + PE

where;

KEf is the final kinetic energy of the system after the collision.

Substituting the expressions for KEi, KEf, and PE, we get:

½ mv² = 0 + 0.048 J

Solving for v, we get:

v = √(2PE/m) = √(2(0.048 J)/(0.6 kg)) = 0.4 m/s

Therefore, the speed of the 600 g glider just before impact was approximately 0.4 m/s.

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Based on what you learned about the roller coaster ride, which of the following statements about energy transformations are true? Select all that apply.
A.Kinetic energy can be converted into several other types of energy
B.Only gravitational potential energy can be converted into kinetic energy
C.A change in an object's speed is evidence that the object's kinetic energy is changing

Answers

Based on what you learned about the roller coaster ride, the following statements about energy transformations that are true are: A. Kinetic energy can be converted into several other types of energyC. A change in an object's speed is evidence that the object's kinetic energy is changing.

The process of energy transformation is the conversion of one form of energy into another. This term describes the scientific process by which energy, in various forms, is transformed to do work. Energy transformation occurs in every physical system in the universe.

Kinetic energy can be converted into several other types of energy.Kinetic energy is the energy of a moving object. The energy is converted into various types of energy, such as electrical and thermal energy, as a result of movement. In a roller coaster, kinetic energy is converted into potential energy as the train goes up the lift hill. The potential energy is converted back into kinetic energy as the train goes down the first drop.

A change in an object's speed is evidence that the object's kinetic energy is changing.Kinetic energy changes when an object's speed changes. If an object slows down, its kinetic energy decreases, while if it speeds up, its kinetic energy increases. On the roller coaster, as the train moves up and down the track, its speed varies, causing changes in its kinetic energy.

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Determine the absolute pressure on the bottom of a swimming pool 28.0 m by 8.5 m whose uniform depth is 1.8 m .
Express your answer using two significant figures.

Answers

The absolute pressure on the bottom of a swimming pool 28.0 m by 8.5 m whose uniform depth is 1.8 m is 287 kPa

the absolute pressure on the bottom of the pool is 17.6 kPa.

Pressure is defined as the amount of force per unit area applied to an object's surface. Pressure may also be defined as a scalar amount of stress exerted on a surface that is perpendicular to the direction of the force. Pressure is frequently represented by the symbol p, which stands for pressure.

Given,

Length of the pool, l = 28 m

Width of the pool, w = 8.5 m

Depth of the pool, h = 1.8 m

The density of water,

p = 1000 kg/m³

g = 9.81 m/s²

Absolute pressure formula:

p = ρgh

Absolute pressure p is given by,

p = ρgh

p = 1000 kg/m³ × 9.81 m/s² × 1.8 mp

  = 17604 Pa

Then, Converting the answer to kPa,

1 Pa = 1 × 10⁻³ kPa⇒ 17604 Pa = 17.6 kPa

Therefore, the absolute pressure on the bottom of the pool is 17.6 kPa rounded to two significant figures.

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The disruption of which of the following interactions directly contributes towards removing 2,3-BPG from HB? His 146 - Asp 94 Tyr-145 - His 146 His 146 - Lys 40 Tyr 145 - Val 98 QUESTION 5 Hemoglobin has a binding affinity at pO2
=20
Torr and binding affinity at
pO2=100
Torr. High; High High; Low Low; Low Low; High

Answers

The disruption of His 146 - Lys 40 interaction directly contributes towards removing 2,3-BPG from HB. This interaction has a low binding affinity (Kd) when pO2 is at 100 Torr compared to when pO2 is at 20 Torr, where it has a higher affinity (Kd).

This means that at a higher pO2, 2,3-BPG is more likely to be removed, allowing HB to bind oxygen with higher affinity.
When answering questions on Brainly, you should always be factually accurate, professional, and friendly, be concise and not provide extraneous amounts of detail, and provide a step-by-step explanation in your answer. The disruption of His 146 - Lys 40 interactions directly contributes towards removing 2,3-BPG from HB.

This is because the 2,3-bisphosphoglycerate (2,3-BPG) molecule interacts with hemoglobin by creating salt bridges with specific amino acid residues, resulting in oxygen unloading in tissues at high altitudes.

The residue lysine 40, which forms a salt bridge with the carboxylate groups of 2,3-BPG, is one of the most important 2,3-BPG-binding residues in hemoglobin.To remove 2,3-BPG from hemoglobin, it is necessary to disrupt the salt bridge between lysine 40 and 2,3-BPG. This can be accomplished by modifying the lysine residue or by increasing the oxygen tension of the blood. Increasing oxygen tension can displace 2,3-BPG from hemoglobin, making it available for oxygen transport.

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moving water can be used as an energy source. select all the characteristics of this energy source that apply.

Answers

The above-listed characteristics apply to moving water as an energy source. Thus, moving water can be used as an energy source.

The following are the characteristics of moving water as an energy source:

It is a renewable energy source. It is a clean energy source. It is available in many different forms. It is the least expensive energy source to generate.

Water is an excellent resource for producing electricity since it is clean, renewable, and is available in many different forms. When water moves, it has the potential to generate energy, which can be harnessed in several ways to produce electricity. As a result, moving water is an excellent source of renewable energy, as it is available in many different forms and can be used in a variety of ways.The above-listed characteristics apply to moving water as an energy source. Thus, moving water can be used as an energy source.

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3. Large amplitude vibrations produced when the of receiver of the applied forced vibration matches the

Answers

An object's amplitude dramatically increases when the frequency of the applied forced vibrations matches the object's natural frequency. Resonance describes this behavior.

Theory A wave's amplitude directly relates to the quantity of energy it can carry. A wave with a high amplitude carries a lot of energy, whereas one with a low amplitude carries only a little. A wave's strength is determined by the typical energy that moves through a given area in a certain amount of time and in a particular direction.The sound wave's amplitude grows in proportion to its strength. We perceive louder noises to be of higher intensity. Comparative sound intensities are frequently expressed using decibels (dB)

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is the equation a=v^2/r dimensionally correct?

Answers

Answer:

No, the equation a=v^2/r is not dimensionally correct. This can be seen by breaking down the dimensions of each term in the equation.

The dimension of acceleration (a) is length/time^2 (L/T^2).

The dimension of velocity (v) is length/time (L/T).

The dimension of radius (r) is length (L).

Substituting these dimensions into the equation, we get:

L/T^2 = (L/T)^2 / L

Simplifying this expression, we get:

L/T^2 = L/T^2

This means that the dimensions on both sides of the equation are equal and therefore the equation is dimensionally correct.

Answer:

Yes, the equation a=v^2/r is dimensionally correct.

Explanation:

The dimensions of acceleration (a) are distance/time^2, the dimensions of velocity (v) are distance/time, and the dimensions of radius (r) are distance.

When we substitute these dimensions into the equation a=v^2/r, we get:

a = (distance/time)^2 / distance

Simplifying, we get:

a = distance^2 / time^2 / distance

a = 1 / time^2

Therefore, the dimensions of both sides of the equation are the same, which confirms that the equation is dimensionally correct.

clock a remains in place and clock b is carried around the earth ( 40,000 km). by how many seconds will is clock b slower if carried on

Answers

Clock a remains in place and clock b is carried around the earth (40,000 km). According to Einstein's theory of relativity, The clock b is slower by approximately 44.6 seconds.

According to Einstein's theory of relativity, time dilation takes place when an object moves at a velocity close to the speed of light. The closer the velocity is to the speed of light, the more time slows down. This is why time on Earth is slower at high altitudes than it is on the ground.

According to the theory, the same effect happens when objects are moving at a high speed, which is why clocks that are taken on an airplane, for example, appear to be ticking more slowly.

1. The following equation is used to determine the time dilation:

t = t0 / √(1 – v²/c²),

where t is the time elapsed, t0 is the time at rest, v is the velocity, and c is the speed of light. When the earth rotates on its axis, every point on the planet's surface moves at a different velocity, with the highest velocity at the equator, and the velocity decreases as we move towards the poles. The earth's circumference at the equator is roughly 40,000 kilometers (24,901 miles).
As a result, a person standing on the equator would be traveling at a speed of around 1,674 kilometers per hour (1,040 miles per hour) because the earth spins once every 24 hours. We must first determine the velocity of a point on the earth's surface at the equator before we can use the equation to calculate time dilation.

2. We use the formula

v = 2πr / T,

where v is velocity, r is the radius of the earth, and T is the time it takes the earth to complete one rotation. The formula is as follows:

v = 2πr / Tv

= 2 x 3.14 x 6,378 km / 24 hv

= 1,674 km/h

3. Substituting these values into the equation, we get:

t = t0 / √(1 – v²/c²)t = t0 / √(1 – (1,674 m/s)² / (299,792,458 m/s)²)t = t0 / √(1 – 2.8 x 10^-8)t = t0 / 0.9999999714

This means that the clock on the equator will tick slightly slower than it would at rest. The difference in time can be calculated by subtracting the two values:

t – t0 = t0 / 0.9999999714 – t0t – t0 = t0 (1 – 0.9999999714)t – t0 = 0.0000000286 t0

4. We must first calculate the amount of time elapsed on the equator if a clock b is carried 40,000 km around the earth. It is easy to calculate the distance and speed, but we must also consider that the earth is rotating as well. As a result, we must determine the combined speed of the earth's rotation and the motion of clock b relative to the earth's surface.

5. To calculate this combined velocity, we can use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. If we imagine the velocity of the earth's rotation as the base of the triangle and the velocity of clock b as the height of the triangle, we can use this theorem to calculate the combined velocity as follows:

combined velocity = √(1,674² + vclock²)

where v clock is the velocity of clock b. Since clock b is being transported at the equator, it has the same velocity as the earth's rotation. As a result, we can substitute 1,674 km/h for v clock:

combined velocity = √(1,674² + 1,674²)

combined velocity = √(2 x 1,674²)

combined velocity = 2,367 km/h

6. Substituting the combined velocity into the equation for time dilation, we obtain:

t – t0 = t0 (1 – √(1 – v²/c²))t – t0 = t0 (1 – √(1 – (2,367 km/h)² / (299,792,458 m/s)²))t – t0

= t0 (1 – √(1 – 1.579 x 10^-11))t – t0

= t0 (1 – 0.999999999920215)t – t0

= 0.000000000079785 t0

Converting this value to seconds, we get:

0.000000000079785 t0 = 79.785 ns

Now we can combine the time dilation for the earth's rotation and the motion of clock b to obtain the total time dilation:

t – t0 = 0.0000000286 t0 + 0.000000000079785 t0t – t0 = 0.000000028679785 t0

Substituting the value of t0 (one second) into the equation, we get:

t – 1 = 0.000000028679785 seconds

Therefore, clock b will be approximately 44.6 seconds slower than clock a after being carried 40,000 km around the earth.

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b) what is the probability that an average of 22 shields will absorb more than 17.1 j/kg? use 4 decimal places.

Answers

The probability that an average of 22 shields will absorb more than 17.1 J/kg is approximately 0.3085.

where X is the random variable representing the energy absorbed per kilogram of the shield.

To calculate this probability, we need to know the distribution of X.

From the given information, we know that X follows a normal distribution with mean μ = 16.8 J/kg and standard deviation σ = 0.6 J/kg.

Thus, we can standardize X as follows:

Z = (X - μ)/σZ ~ N(0, 1)

P(X > 17.1) = P((X - μ)/σ > (17.1 - μ)/σ)

                = P(Z > (17.1 - 16.8)/0.6)

                = P(Z > 0.5)

Using a standard normal table, we can find the probability that Z > 0.5 to be 0.3085 (rounded to 4 decimal places).

Therefore, the probability that an average of 22 shields will absorb more than 17.1 J/kg is approximately 0.3085.

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what is the voltage reading vr(t) given by the voltmeter across the resistor (figure 2) at time t after t

Answers

The voltage reading V,(t) across the resistor at time t after t = 0 is equal to the current I(t) multiplied by the resistance R, since V = IR. Therefore, V,(t) = RI(t).

What is resistor?

A resistor is an electrical component that reduces the flow of current in a given circuit. It is made from a conductive material, generally either carbon or metal, that has been treated to produce a specific resistance value. The resistance value of a resistor is measured in ohms, and is generally marked on the component itself. Resistors are used to limit the amount of current flowing through a circuit, which in turn can control the voltage and power levels in the circuit. They can also be used to create voltage dividers which divide the voltage of a circuit into different levels, or to provide stability to a circuit by providing a fixed current. Resistors are a fundamental component of all electronic circuits and are used in a wide range of applications.

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Complete Question:

according to j. richard hackman and gerg oldham, which of the following is a factor necessary for job enrichment to be effective?

Answers

Job enrichment is a strategy used to motivate workers by adding the responsibility and diversity of their work. variant d

Feedback is essential to effective plant enrichment. Successful job enrichment depends on numerous effects, including acceptable backing and operation support, and clear performance norms.

Job Enrichment is a system of hand engagement in which jobs are designed to have intriguing and grueling tasks that may bear further chops and may increase pay.

The purpose of job enrichment is to compound the tasks performed by each hand, allow them to perform tasks in different ways, and eventually give them more control over the work they perform.

One of the most important motorists of change in professional enrichment programs is feedback. This not only needs to be done at the hand- director position, but also needs to be encouraged within the brigades.

Question

According to J. Richard Hackman and Gerg Oldham, which of the following is necessary for job enrichment to be effective?

a) Hygiene

b) Dissatisfied

c) Valencia

d) feedback

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Help me fast!!

I need help

Answer is what?

Answers

Answer:

both are only physical changes

Explanation:

Physical changes are changes that do not alter the identity of a substance.

The liquid soap is still liquid soap when mixed into water.

The dry ice is still dry ice when it changes state from solid to gas.

The outer edge of a rotating Frisbee with a diameter of 30 cm has a linear speed of 3.2 m/s

What is the angular speed of the Frisbee? In rad/s

Answers

The angular speed of the Frisbee is 21.33 rad/s.

What is Angular speed ?

Angular speed is a measure of how fast an object is rotating or moving around a central point or axis. It is a scalar quantity, which is defined as the rate of change of the object's angular displacement over time, expressed in units of radians per second (rad/s).

Angular speed is calculated using the formula:

Angular speed (ω) = Δθ / Δt

The linear speed of the outer edge of the Frisbee is given by:

v = 3.2 m/s

The diameter of the Frisbee is given by:

d = 30 cm = 0.3 m

The radius of the Frisbee is half the diameter:

r = d/2 = 0.15 m

The linear speed of a point on the edge of a rotating object is related to the angular speed by the formula:

v = ωr

where ω is the angular speed in radians per second.

Substituting the given values, we can solve for ω:

ω = v/r

ω = 3.2 m/s / 0.15 m

ω = 21.33 rad/s (rounded to two decimal places)

Therefore, the angular speed of the Frisbee is 21.33 rad/s.

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Topic: Rotational Motion

The motor in an electric saw brings the circular blade from rest up to the rated angular velocity of 80.0 rev/s in 240.0 rev. One type of blade has a moment of inertia of 1.41×10^-3 kg.m^2. Determine the net torque (assumed constant) the motor must apply to the blade.

Answers

Answer:

To solve this problem, we can use the equation for rotational motion:

Δθ = (1/2) α t^2 + ω0 t

where Δθ is the change in angle, α is the angular acceleration, t is the time, and ω0 is the initial angular velocity.

In this case, we know that the initial angular velocity is 0 (since the blade is at rest), the final angular velocity is 80.0 rev/s, and the number of revolutions is 240.0 rev. We can use these values to find the angular acceleration:

ωf = ω0 + αt

80.0 rev/s = 0 + α(240.0 rev)

α = 80.0 rev/s / 240.0 rev

α = 1/3 rev/s^2

Now that we know the angular acceleration, we can use the moment of inertia and the torque equation:

τ = Iα

where τ is the torque, I is the moment of inertia, and α is the angular acceleration.

Substituting the given values, we get:

τ = (1.41×10^-3 kg.m^2)(1/3 rev/s^2)

τ = 4.70×10^-4 N.m

Therefore, the net torque the motor must apply to the blade is 4.70×10^-4 N.m.

In which of the following cases is the largest force exerted on an object by electromagnetic radiation? a) The radiation is absorbed by the object. b) Nearly all of the radiation is transmitted through the object because it is transparent. C) The radiation strikes the surface at a large angle with respect to the normal to the surface. (d) The radiation is reflected back along its incident path e) In all of the above cases the force will be the same since it is the same light striking the object.

Answers

The largest force exerted on an object by electromagnetic radiation is       d) The radiation is reflected back along its incident path.

What is electromagnetic radiation?

The electromagnetic (EM) field's waves, which travel across space carrying momentum and electromagnetic radiant energy, make up electromagnetic radiation (EMR).  It consists of X-rays, gamma rays, microwaves, infrared, visible light, ultraviolet, and radio waves. These waves are all a component of the electromagnetic spectrum. 

Electromagnetic waves, which are synchronised oscillations of the electric and magnetic fields, are the traditional form of electromagnetic radiation. The electromagnetic spectrum is created at various wavelengths depending on the oscillation frequency. Electromagnetic waves move at the speed of light, in a vacuum. The oscillations of the two fields create a transverse wave in homogeneous, isotropic media when they are perpendicular to each other, perpendicular to the direction of energy and wave propagation, and perpendicular to each other.

What is electromagnetic spectrum?

The range of electromagnetic radiation's frequencies, along with their corresponding wavelengths and photon energies, is known as the electromagnetic spectrum.

The electromagnetic spectrum includes electromagnetic waves with frequencies between one hertz and above 10²⁵ hertz, or wavelengths between thousands of kilometres and a small portion of the size of an atomic nucleus. The electromagnetic waves that are contained within each of these bands have different names; starting at the low-frequency (long wavelength) end of the spectrum, these are radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. This frequency range is divided into separate bands.

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