you exert a 19 Nm torque on a solid disk that has a moment of inertia equal to 12 Kg m^2. How long will it take the disk to complete half of one full rotation

Answers

Answer 1

The time it will take the disk to complete half of one full rotation is 1.96 seconds.

The torque applied to the disk is given by the formula:

τ = Iα

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

Rearranging this formula, we can solve for the angular acceleration:

α = τ / I

The angular acceleration is also related to the angular displacement and time by the formula:

θ = 1/2 α t²

where θ is the angular displacement and t is the time. Rearranging this formula, we can solve for the time:

t = sqrt(2 θ / α)

In this problem, we want to find the time it takes for the disk to complete half of one full rotation, which is an angular displacement of 180 degrees or π radians. Since the disk has to rotate both clockwise and counterclockwise, we only need to consider half of the angular displacement:

θ = π / 2

The torque applied to the disk is 19 Nm and the moment of inertia is 12 Kg m², so the angular acceleration is:

α = 19 Nm / 12 Kg m² = 1.58 rad/s²

Substituting these values into the formula for time, we get:

t = sqrt(2 π / (4 α)) = 1.96 s

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Related Questions

some thermal energy was transferred to the surroundings while the water was being heated. Explain how this affected the students value for the specific latent heat of vaporisation of water

Answers

The specific heat can be calculated by calculating how much the temperature in the water rises.

Effect of temperature changeConsider a scenario where the water's temperature rise is exceedingly rapid. (Used as an example, a 5 degree rise). The metallic block had a lot of energy to begin with, and it transferred a lot of energy as it cooled, leading us to conclude that the specific heat is rather high.We may conclude that the metallic block didn't transfer much heat, indicating that it had low specific heat, if the temperature rise in the water was only a little amount (let's say 2 degrees), leaving all the other experimental variables constant, such as the mass of the water and the block.If you do, imagine If heat is lost during the experiment, then the water's temperature won't rise as much as it should, is that correct? Due to the fact that some heat was lost to the environment and not all of it was transferred to the water, you would naturally deduce that the specific heat must be reduced.

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ASAP PLEASE!!!!!!
Please select the word from the list that best fits the definition
Value that is measured by the slope of a position-time graph
Distance
Velocity
Vectors
Displacement

Answers

The word from the list that best fits the definition Value that is measured by the slope of a position-time graph is

Velocity

What is  position-time graph

A position-time graph, also known as a displacement-time graph, is a graph that shows the position or displacement of an object on the vertical axis versus time on the horizontal axis.

It is a graphical representation of an object's motion with respect to time, where the slope of the line represents the object's velocity at any given point.

The position-time graph is commonly used in physics to analyze an object's motion and to determine important parameters such as velocity, acceleration, and displacement.

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What is the wavelength of a radio wave traveling in a vacuum that has a frequency of 7.75x107Hz?
(Choose from the following units: m, hz, m/s, s, degrees, dB)
Your Answer:

Answers

The wavelength of the radio wave is approximately 3.87 meters.

The speed of light in a vacuum is a constant value, which is approximately 3.00 x 10⁸ meters per second. The wavelength of a wave can be calculated by dividing the speed of light by the frequency of the wave.

λ = c / f

Where λ is the wavelength, c is the speed of light, and f is the frequency.

Substituting the given values into the formula, we get:

λ = c / f = 3.00 x 10⁸ m/s / 7.75 x 10⁷ Hz = 3.87 m

Therefore, the wavelength of the radio wave is approximately 3.87 meters.

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Chapter 2section 2.21. In a cathode ray tubeA) electrons pass from the anode to the cathode.B) electrons pass from the cathode to the anode.C) protons pass from the anode to the cathode.D) protons pass from the cathode to the anode.

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In Chapter 2 section 2.21, it is stated that in a cathode ray tube, electrons pass from the cathode to the anode. This is because the cathode is negatively charged, while the anode is positively charged.

The flow of electrons is controlled by an electric field between the cathode and anode, which causes the electrons to move towards the anode. Therefore, the correct answer to the question is option B) electrons pass from the cathode to the anode.


In Chapter 2, Section 2.21, regarding a cathode ray tube, the correct answer is B) electrons pass from the cathode to the anode. The cathode emits electrons, which are attracted to the positively charged anode, resulting in the flow of electrons in the tube.

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alt is now added to the water in the bucket, increasing the density of the liquid. What happens to the tension in the string

Answers

When salt is added to the water, density increases, causing buoyancy force to rise, and the string tension to decrease.

When salt is added to the water in the bucket, the density of the liquid increases.

As a result, the buoyancy force experienced by the object submerged in the saltwater also increases due to the higher density.

This increased buoyancy force opposes the gravitational force acting on the object, making it effectively "lighter" in the saltwater.

Consequently, the tension in the string holding the object will decrease, as it needs to counterbalance less weight.

In summary, the addition of salt to water increases the liquid's density, leading to a decrease in the string's tension.

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A series RLC circuit has resistance R = 75. 0 Ω and inductance L = 0. 440 H. The voltage source operates at a frequency of f = 50. 0 Hz and the reactance is Z = R = 75. 0 Ω.

(a)Find the circuit's capacitance C (in F).

(b)What is the phase angle (in degrees) between the current and the voltage?

Answers

A series RLC circuit has resistance R = 75. 0 Ω and inductance L = 0. 440 H. The voltage source operates at a frequency of f = 50. 0 Hz and the reactance is Z = R = 75. 0 Ω.

(a) The capacitance of the circuit is 5.33 × [tex]10^{-5}[/tex] F.

(b) The phase angle is 0 degrees.

(a) The reactance of the circuit is given by

X = Z - R = 0 Ω

At resonance, the reactance is zero, so we can find the capacitance using

X = 1/(2πfC) = 0 Ω

Solving for C, we get

C = 1/(2πfX) = 5.33 × [tex]10^{-5}[/tex] F

Therefore, the capacitance of the circuit is 5.33 × [tex]10^{-5}[/tex] F.

(b) At resonance, the impedance of the circuit is purely resistive, so the phase angle between the current and voltage is zero. Therefore, the phase angle is 0 degrees.

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The scientist who determined the magnitude of the electric charge of the electron wasA) John Dalton. D) Henry Moseley.B) Robert Millikan. E) R. Chang.C) J. J. Thomson

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The scientist who determined the magnitude of the electric charge of the electron was Robert Millikan.

The Millikan's Oil Drop Experiment Measuring the Charge of the Electron. The American scientist Robert Millikan 1868–1953 carried out a series of experiments using electrically charged oil droplets, which allowed him to calculate the charge on a single electron.  J. J. Thomson discovered electron, but he could only deduce the charge to mass ration but Robert Millikan through his oil drop experiment found the value of charge on electron. The oil drop experiment was perhaps the most famous scientific work of Robert Millikan's career. While at the University of Chicago, he worked with one of his graduate students, Harvey Fletcher, to attempt to measure the charge of an electron.

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in which of the following situations would energy be conserved?multiple select question.a free falling body with no frictiona car on cruise control traveling in a straight linea free falling body at terminal velocitya moon orbiting a planeta puck sliding on a frictionless surface

Answers

The situations, there is no external force acting on the system that would result in a loss of energy. However, in the other situations, energy would not be conserved due to the presence of friction or a change in velocity. - A free falling body with no friction - A moon orbiting a planet- A puck sliding on a frictionless surface.

The case of a car on cruise control traveling in a straight line, there is friction between the tires and the road which results in energy loss. Energy conservation occurs when the total mechanical energy of a system potential energy + kinetic energy remains constant. In the following situations, energy is conserved A free-falling body with no friction in this case, the potential energy of the body is converted into kinetic energy as it falls, and no energy is lost due to friction. A moon orbiting a planet in this situation, the gravitational potential energy and kinetic energy of the moon remain constant as it orbits the planet, as there is no friction in space to dissipate energy. A puck sliding on a frictionless surface Here, the kinetic energy of the puck remains constant since there is no friction to cause energy loss.

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in the future, a pair of astronauts are sent on a mission to the planet mercury. they watch the sun set one mercurian evening and decide they will go exploring in opposite directions and meet again the next time the sun is setting in the spot where they started. how long will they have to wait for the next sunset at that spot? a. one mercury year, 88 earth days b. two mercury years, 176 earth days c. one earth day d. one mercury rotation period, 59 earth days e. two mercury rotation periods, 119 earth days

Answers

The answer is d. one mercury rotation period, 59 earth days.

This is because Mercury rotates very slowly compared to its orbit around the sun, so it takes 59 Earth days for Mercury to complete one rotation on its axis and experience one day/night cycle. Therefore, the astronauts will have to wait for one Mercury rotation period or 59 Earth days to see the sunset at the same spot where they started.
In the future, when astronauts are exploring Mercury, they will have to wait for two Mercury rotation periods, or 119 Earth days (option E), to see the next sunset at the same spot.

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Question 63 Marks: 1 Sounds with a frequency of 30 hertz (Hz) are considered very low pitch.Choose one answer. a. True b. False

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a. True. Sounds with a frequency of 30 hertz (Hz) are considered very low pitch.

This is because low frequency sounds produce low pitch tones, and 30 Hz falls within the lower end of the human hearing range, which is typically between 20 Hz to 20,000 Hz. These lower frequencies are usually associated with bass notes, such as those in bass guitars and synthesizers.Low-pitched sounds are generally associated with bass sounds and have a slower frequency than higher-pitched sounds. Low-frequency sound waves travel farther than higher frequency sound waves and can be heard even when there is background noise.

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Question 15 Marks: 1 If 10 decibels is 10 times more intense than one decibel, how many times more intense is 20 decibels than one decibel?Choose one answer. a. 20 b. 30 c. 100 d. 1000

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If 10 decibels is 10 times more intense than one decibel, then 20 decibels would be 100 times more intense than one decibel (10 times more intense than 10 decibels). Therefore, the answer is c. 100.

Sound is measured in decibels (dB). A whisper is about 30 decibels, a normal conversation is about 60 decibels, and a motorcycle engine runs about 95 decibels.

Noise levels above 70 decibels for long periods of time can begin to damage your hearing. Noise above 120 decibels can damage your hearing.

A 20 dB increase in noise represents a 100-fold increase in noise. This is because dB is a logarithmic unit, and an increase of 20 dB corresponds to a positive factor of 10^ (20/10) = 100.

Therefore, a sound that is 20 dB louder than another sound is 100 times stronger. Likewise, a 40-decibel increase in noise means one sound is 10,000 times louder than another, and so on.

Therefore, the correct answer is 100.

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how do you find the intensity of an electromagnetic wave with a peak?Find the intensity of an electromagnetic wave having a peak magnetic field strength of 4.00×10^−9 T .

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The intensity of an electromagnetic wave having a peak magnetic field strength of 4.00×10⁻⁹ T  is 1.90×10⁻³ W/m² .

The square of a wave's amplitude determines how strong it is. For instance, the electric field amplitude of an electromagnetic wave is inversely proportional to the wave's strength.

We are looking for the electromagnetic wave's average intensity at a specific peak magnetic field strength.

We may calculate the intensity using the formula: speed of light times magnetic field strength squared divided by two times free space permeability.

The strength of the magnetic field is

B=4.00×10⁻⁹ T

Iavg = CB²/2μ₀

= (3*10⁸m/s²)*(4.00×10⁻⁹ T )/2*(4Π*10⁷ T.m.A⁻¹)

=1.90×10⁻³ W/m²

Thus, the intensity of the electromagnetic wave is 1.90×10⁻³ W/m²

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To find the intensity of an electromagnetic wave with a peak, you need to use the equation:

Intensity = (Peak Magnetic Field Strength)^2 / (2*Permeability of Free Space)

Where Permeability of Free Space is a constant equal to 4π x 10^-7 Tm/A.

Substituting the given values in the equation, we get:

Intensity = (4.00×10^-9 T)^2 / (2 x 4π x 10^-7 Tm/A)

Intensity = 2.01 x 10^-19 W/m^2

Therefore, the intensity of the electromagnetic wave with a peak magnetic field strength of 4.00×10^-9 T is 2.01 x 10^-19 W/m^2.
To find the intensity of an electromagnetic wave with a peak magnetic field strength, you need to use the formula:

Intensity (I) = (c * μ₀ * B²) / 2

where:
- Intensity (I) is the power per unit area in watts per square meter (W/m²)
- c is the speed of light in a vacuum (approximately 3.00 × 10^8 m/s)
- μ₀ is the permeability of free space (4π × 10^−7 T· m/A)
- B is the peak magnetic field strength in tesla s (T)

Given a peak magnetic field strength (B) of 4.00 × 10^−9 T, you can calculate the intensity:

I = (3.00 × 10^8 m/s) * (4π × 10^−7 T·m/A) * (4.00 × 10^−9 T)^2 / 2

I ≈ 1.07 × 10^−11 W/m²

So, the intensity of the electromagnetic wave is approximately 1.07 × 10^−11 W/m².

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Question 5 Marks: 1 The recommended maximum length of the system materials for a gravity flow absorption field is 75 feet.Choose one answer. a. True b. False

Answers

This statement is true. The question mentions the terms "recommended", "maximum", "length", and "gravity", which all relate to the design and installation of a gravity flow absorption field.

The answer is true because the recommended maximum length for the system materials is 75 feet, which means that if the length exceeds this limit, it may affect the absorption capacity and efficiency of the system. This highlights the importance of following the recommended guidelines and standards to ensure the proper functioning and longevity of the absorption field.
The statement "The recommended maximum length of the system materials for a gravity flow absorption field is 75 feet" is true. This length ensures proper functioning and efficiency of the system, taking into consideration gravity and absorption processes.

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(398-19) Open conductors shall be separated at least ______ inches from metal raceways, piping, or other conducting material, and from any exposed lighting, power, or signaling conductor, or shall be separated by a continuous and firmly fixed nonconductor in addition to the nsulation of the conductor.

Answers

The minimum separation distance required is 1 inch, or a continuous and firmly fixed nonconductor may be used in addition to the insulation of the conductor.

According to the National Electrical Code (NEC) Article 300.2, open conductors are defined as conductors that are not covered by any insulation or are only covered by a thin covering of insulation. These conductors must be kept at a safe distance from other conductors or conducting materials to prevent electrical arcing or short circuits.

NEC Section 394.15 provides the minimum separation requirements for open conductors. It states that open conductors must be separated from metal raceways, piping, or other conducting material, as well as any exposed lighting, power, or signaling conductors. The minimum separation distance is 1 inch, unless the conductors are separated by a continuous and firmly fixed nonconductor in addition to the insulation of the conductor.

This means that if the open conductor is separated from the other conductors or materials by a continuous and firmly fixed nonconductor in addition to the insulation of the conductor, the minimum separation distance of 1 inch may not be required.

In summary, open conductors must be separated from other conductors or conducting materials to avoid electrical arcing or short circuits. The minimum separation distance required is 1 inch, or a continuous and firmly fixed nonconductor may be used in addition to the insulation of the conductor.

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A ball is dropped from the top of a building and lands on the ground without bouncing.
When does the ball have the least kinetic energy?
O after it has hit the ground
O half way through the fall
O iust after it is released
O just before it hits the ground

Answers

The correct answer is A. After it has hit the ground

Which one of the following materials is not ferromagnetic?a. Feb. Coc. Nid. Ai

Answers

The material that is not ferromagnetic is d. Ai (aluminium). While iron (Fe), cobalt (Co), and nickel (Ni) are ferromagnetic metals, aluminium is a non-magnetic metal.

Ferromagnetism is the ability of a material to become permanently magnetized when exposed to an external magnetic field. Ferromagnetic materials include iron (Fe), nickel (Ni), cobalt (Co), and some of their alloys, such as FeCo, FeNi, and FeCoNi. These materials have a magnetic moment that aligns with an external magnetic field, resulting in a net magnetic moment and magnetic behaviour. Aluminium, on the other hand, is not ferromagnetic and does not exhibit this type of behaviour.

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During which type of chemical process does the temperature decrease?

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Answer: During an endothermic chemical process, the temperature of the system typically decreases.

Explanation: Chemical processes can be both exothermic or endothermic, it actually depends on whether heat is released or absorbed during the reaction. In an endothermic reaction, energy is absorbed from the surroundings, mostly in the form of heat, causing the temperature of the system to decrease. This is because the reaction requires energy to break the bonds of the reactants and form new bonds in the products. Examples of endothermic reactions include melting ice, evaporating water, and cooking an egg  

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Torque Equilibrium: ICA 1
1. In the image above a force of 2.5 N is being applied to the wrench. Calculate the torque. (Remember we should
only use units of meters)
15 cm
25N

Answers

The torque applied to the wrench is 0.375 Nm.

To calculate the torque, we need to know the distance between the force and the pivot point, and the magnitude of the force. The torque can be calculated using the formula:

Torque = Force x Distance x sin(theta)

where theta is the angle between the force vector and the line connecting the force to the pivot point. In this case, the force is applied perpendicular to the wrench, so theta is 90 degrees and sin(theta) is 1. Therefore, we can simplify the formula to:

Torque = Force x Distance

We are given the magnitude of the force as 2.5 N, and the distance from the force to the pivot point (the nut) as 15 cm. To use the formula, we need to convert the distance to meters:

Distance = 15 cm = 0.15 m

Now we can calculate the torque:

Torque = Force x Distance

= 2.5 N x 0.15 m

= 0.375 Nm

Therefore, the torque applied to the wrench is 0.375 Nm.

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#18. What is the period of the voltage source that operates the plasma pencil?

Answers

The period of the voltage source that operates the plasma pencil is the time it takes to complete one cycle of oscillation.

The plasma pencil is a device that uses a high-voltage source to generate plasma, which can be used for various applications such as sterilization and surface modification. The period of the voltage source that operates the plasma pencil is the time it takes for the voltage to complete one cycle of oscillation. In general, the period of a voltage source is determined by the frequency of the alternating current (AC) that it generates. The frequency is measured in Hertz (Hz), which represents the number of cycles per second.


The specific period of the voltage source that operates the plasma pencil depends on the design and specifications of the device. Typically, plasma pencils operate at high frequencies ranging from tens of kilohertz to several megahertz. This high frequency allows for efficient plasma generation and control. The period of the voltage source that operates the plasma pencil is determined by the frequency of the AC it generates and can vary depending on the design and specifications of the device.

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pleaseeee helpp quickkkk
A skateboarder starts at the top of a halfpipe ramp, skates through the middle, and up the other side.
Match the following to describe what is happening at each of the three points in the skater's movement.

Question 1 options:

Middle


End


Beginning

1.
Maximum kinetic energy

2.
Potential and kinetic energy equal

3.
Maximum potential energy

Answers

Answer:

Explanation:

1=3

1 would be the best

A ΔV = 2.7 V battery loses E = 6 J of energy each day (t = 24 hrs) powering a cell phone.
Part (a) Input an expression for the average current, I, supplied to the phone. Expression :
I = __________________________________________
Select from the variables below to write your expression. Note that all variables may not be required. α, β, ΔV, θ, a, d, E, g, h, j, k, m, P, S, t
Part (b) What is the current in Amperes?
Numeric : A numeric value is expected and not an expression. I =

Answers

The current supplied to the phone is 93.75 milliamperes (mA) or 0.09375 Amperes (A).

Part (a) Expression for the average current, I, supplied to the phone:

We can use the formula for electrical power:

Power = current x voltage

The energy lost by the battery each day is given by:

Energy = Power x time

E = P x t

Substituting Power = I x ΔV and time t = 24 hrs, we get:

E = I x ΔV x t

I = E / (ΔV x t)

Therefore, the expression for the average current supplied to the phone is:

I = E / (ΔV x t)

Part (b) Numeric value for the current in Amperes:

Substituting the given values, we get:

I = 6 J / (2.7 V x 24 hrs)

I = 0.09375 A or 93.75 mA

Therefore, the current supplied to the phone is 93.75 milliamperes (mA) or 0.09375 Amperes (A).

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What device did Faraday invent that harnessed the power of electric current

Answers

Faraday invented the electric generator that harnessed the power of the electric current.

Michael Faraday, a British scientist, is credited with the invention of the electric generator, also known as the dynamo. In 1831, Faraday discovered that a changing magnetic field could induce an electric current in a wire. He then designed a machine that utilized this principle to generate electricity.

Faraday's generator consisted of a rotating disk of copper wire near a stationary magnet. As the disk rotated, the magnetic field induced a current in the wire, producing electricity.

Faraday's invention was a major breakthrough in the field of electromagnetism and paved the way for the development of modern electrical power systems. Today, electric generators are widely used to produce the electricity that powers homes, businesses, and industries around the world.

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which of the following events would be most likely to have a negative effect on the sexual functioning of a person and contribute to a sexual dysfunction?

Answers

A person's sexual functioning and the plot of a sexual dysfunction would most likely be negatively moved if arousal were solved as sexual arousal increases one's arousal to further events.

Sexual dysfunction, among other things, can make it harder to have sex or get sexually excited. It could prevent you from having an orgasm, lead to early ejaculation, or make sexual activity painful.

Disorders of sexual desire/interest, arousal, orgasm, and sexual pain are the four main categories of sexual dysfunction.

Sexual dysfunction affects both men and women frequently. It tends to be created by actual issues and ailments, like coronary illness and chemical uneven characteristics, or by mental issues, similar to tension, wretchedness, and the impacts of past injury.

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Q- Which of the following events would be most likely to have a negative effect on the sexual functioning of a person and contribute to sexual dysfunction?

Traumatic events can cause a person to feel anxious, fearful, and/or ashamed about engaging in sexual activities and can lead to difficulty with arousal, pain during intercourse, and/or difficulty with orgasm.

What is anxious ?

Anxious is a feeling of fear, worry, or unease about something in the future. It is a type of emotion that is often accompanied by physical sensations, such as a racing heart, sweating, dizziness, or a feeling of being overwhelmed. Anxiousness can be caused by a variety of factors, such as a stressful situation or environment, worrying thoughts, or physical sensations. It is a normal emotion that everyone experiences, but when it becomes frequent or intense it can interfere with daily life. If anxiety is affecting your daily life, it is important to speak with a mental health professional to find ways to manage it.

A traumatic event such as sexual assault or abuse can have a profound and long-lasting negative effect on a person's sexual functioning and can contribute to the development of a sexual dysfunction.

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Question 35 Marks: 1 Radon is an alpha emitter; daughter decay products are alpha, beta, and gamma emitters.Choose one answer. a. True b. False

Answers

True,1 Radon is an alpha emitter; daughter decay products are alpha, beta, and gamma emitters.

Radon is a radioactive gas that has no smell, colour or taste. Radon is produced from the natural radioactive decay of uranium, which is found in all rocks and soils. Radon can also be found in water. Radon escapes from the ground into the air, where it decays and produces further radioactive particles. Radon was discovered by Friedrich Ernst Dorn, a German chemist, in 1900 while studying radium's decay chain. Originally named niton after the Latin word for shining, “nitens,” it has been known as radon since 1923.

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object a has mass 7 kg and initial momentum <20, -6, 0> kg·m/s, just before it strikes object b, which has mass 9 kg. just before the collision object b has initial momentum <3, 6, 0> kg·m/s.

Answers

We can use the law of conservation of momentum to determine the final momenta of both objects after the collision. The law states that the total momentum before a collision equals the total momentum after the collision.

So, the initial total momentum before the collision is:

<20, -6, 0> kg·m/s + <3, 6, 0> kg·m/s = <23, 0, 0> kg·m/s

After the collision, we can denote the final momenta of objects a and b as and, respectively. Using the law of conservation of momentum, we have:

+  = <23, 0, 0> kg·m/s

We can also use the fact that momentum is mass times velocity (p = mv) to relate the momenta to the velocities of the objects. Specifically, we can write:

= 7 kg *  = 9 kg *

where and are the final velocities of objects a and b, respectively.

We also know that the collision object b has initial momentum <3, 6, 0> kg·m/s, which we can again relate to its initial velocity using the fact that momentum is mass times velocity. Specifically, we have:

<3, 6, 0> kg·m/s = 9 kg *

Now, we can solve for the final velocities of the objects using the above equations. Since we have three unknowns (v1x, v1y, v1z), we need three equations. One equation comes from the law of conservation of momentum, and the other two come from the fact that the relative velocity between the objects before and after the collision is reversed along the line of impact.

Along the x-axis, the relative velocity between the objects before the collision is:

20 kg·m/s / 7 kg - 3 kg·m/s / 9 kg = 2.4286 m/s

After the collision, the relative velocity is:

v1x - v2x = -2.4286 m/s

Similarly, along the y-axis, we have:

-6 kg·m/s / 7 kg - 6 kg·m/s / 9 kg = -1.4521 m/s

v1y - v2y = 1.4521 m/s

We can use these two equations to solve for v1x and v1y, and then use the law of conservation of momentum to solve for v1z. The final velocities of the objects are:

v1x = -0.2452 m/s
v1y = 3.5413 m/s
v1z = 0 kg·m/s

v2x = 1.3683 m/s
v2y = 1.3011 m/s
v2z = 0 kg·m/s

Therefore, object a has a final momentum of:

7 kg * <-0.2452, 3.5413, 0> kg·m/s = <-1.7164, 24.7891, 0> kg·m/s

and object b has a final momentum of:

9 kg * <1.3683, 1.3011, 0> kg·m/s = <12.3147, 11.7100, 0> kg·m/s.

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You release a ball from rest at the top of a ramp and decide to assume that the ball’s acceleration is constant as it speeds up moving down the ramp. You observe the ball at three times while it is on the ramp: tA = 1.5 s, tB = 3.0 s, and tC = 4.5 seconds. Using these observations, you determine ΔvAB (the change in velocity between tA and tB) and ΔvBC (the change in velocity between tB and tC).

Answers

Both ΔvAB and ΔvBC are equal to a * 1.5 s, where 'a' is the constant acceleration of the ball as it moves down the ramp.

What is the change in the velocity?

Based on the given information, we can determine the changes in velocity of the ball between different time intervals on the ramp.

Let's denote the velocity of the ball at time tA as vA, at time tB as vB, and at time tC as vC.

Since the ball is released from rest at the top of the ramp, its initial velocity vA = 0 m/s.

Using the kinematic equation for constant acceleration:

v = v0 + at

where:

v = final velocityv0 = initial velocitya = accelerationt = time

We can rearrange the equation to solve for acceleration a:

a = (v - v0) / t

For the time interval between tA and tB:

ΔvAB = vB - vA = a * (tB - tA)

For the time interval between tB and tC:

ΔvBC = vC - vB = a * (tC - tB)

Given the time values:

tA = 1.5 s

tB = 3.0 s

tC = 4.5 s

We can use these time values to calculate the changes in velocity:

ΔvAB = vB - vA = a * (tB - tA) = a * (3.0 s - 1.5 s) = a * 1.5 s

ΔvBC = vC - vB = a * (tC - tB) = a * (4.5 s - 3.0 s) = a * 1.5 s

So, both ΔvAB and ΔvBC are equal to a * 1.5 s, where 'a' is the constant acceleration of the ball as it moves down the ramp. The value of 'a' would need to be determined using additional information or experimental measurements.

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a proton is not the only nucleus that has a magnetic dipole moment. another is the nucleus of the isotope 15n , which is sometimes imaged in mri. the gyromagnetic ratio of a 15n nucleus is 10.1% that of a proton. part a what is the precession frequency of a 15n nucleus in a 1.50 t mri machine? express your answer with the appropriate units.

Answers

Therefore, the precession frequency of a 15n nucleus in a 1.50 T MRI machine is 6.45 MHz. The appropriate units are megahertz (MHz).

The precession frequency of a 15n nucleus can be calculated using the formula:
frequency = gyromagnetic ratio x magnetic field strength
In this case, the gyromagnetic ratio of a 15n nucleus is 10.1% that of a proton, so we can write:
gyromagnetic ratio = 0.101 x gyromagnetic ratio of a proton
The gyromagnetic ratio of a proton is approximately 42.58 MHz/T, so the gyromagnetic ratio of a 15n nucleus is:
gyromagnetic ratio = 0.101 x 42.58 MHz/T = 4.30 MHz/T
The magnetic field strength of a 1.50 T MRI machine is 1.50 T, so the precession frequency of a 15n nucleus in this machine is:
frequency = 4.30 MHz/T x 1.50 T = 6.45 MHz
Therefore, the precession frequency of a 15n nucleus in a 1.50 T MRI machine is 6.45 MHz. The appropriate units are megahertz (MHz).

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the maximum output of the chlorinator at a well is 100 pounds per day. if this well requires a dosage of 3.75 mg/L. what is the maximum flow rate allowed for this well, expressed in MGD

Answers

The maximum flow rate allowed for the well, expressed in MGD, is 3.01.

To calculate the maximum flow rate allowed for the well, we need to use the following formula:

Maximum Flow Rate = (Maximum Chlorine Output in Pounds per Day) / (Dosage in mg/L x 8.34)

Here, the maximum chlorine output is given as 100 pounds per day, and the dosage required is 3.75 mg/L. Plugging these values into the formula, we get:

Maximum Flow Rate = (100 pounds/day) / (3.75 mg/L x 8.34)

Maximum Flow Rate = 3.01 MGD (rounded to two decimal places)

Therefore, the maximum flow rate allowed for the well, expressed in MGD, is 3.01.

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Question 26 Marks: 1 Background radiation cannot be eliminated.Choose one answer. a. True b. False

Answers

The actual amount of radiation that a person is exposed to depends on where they live, what job they do and many other things. Scientists must always take into consideration the amount of background radiation when working or experimenting with radioactive sources and discount it from their results.

Background radiation is the radiation that is present in the environment naturally and cannot be eliminated completely. However, it can be reduced through various measures such as limiting exposure to sources of radiation, using protective gear, and adopting safe practices.A source that emits one particle per second has an activity of one Bq. However, this particle could be alpha or beta and would, therefore, have a different effect on a person’s body.

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14. A grindstone, initially at rest, is given a constant angular acceleration so that it makes 20.0 rev in the first 8.00 s. What is its angular acceleration?
A) 0.313 rad/s2
B) 0.625 rad/s2
C) 2.50 rad/s2
D) 1.97 rad/s2
E) 3.93 rad/s2

Answers

A grindstone, initially at rest, is given a constant angular acceleration so that it makes 20.0 rev in the first 8.00 s. Its angular acceleration is E) 3.93 rad/s²

To find the angular acceleration of the grindstone, we can use the following equations:
1. θ = ω₀t + (1/2)αt², where θ is the angular displacement, ω₀ is the initial angular velocity, t is the time, and α is the angular acceleration.
2. 20 rev = 20(2π) rad, to convert revolutions to radians.
Given that the grindstone is initially at rest, ω₀ = 0. We are also given that the grindstone makes 20 revolutions in 8 seconds, so θ = 20(2π) rad and t = 8 s.
Using the equation θ = (1/2)αt², we can solve for α:
20(2π) = (1/2)α(8²)
40π = 32α
Now, divide both sides by 32 to find the angular acceleration:
α = 40π/32 = 5π/4
α ≈ 3.93 rad/s²
Therefore, the angular acceleration of the grindstone is approximately 3.93 rad/s², which corresponds to option E.

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