Radioactive substances have a half-life.
Radioactive substances are characterized by their unstable atomic nuclei. These nuclei undergo a process called radioactive decay over time, transforming into more stable nuclei by emitting particles and energy. This process occurs randomly at the level of individual atoms, making it impossible to predict exactly when a particular atom will decay.
The concept of a "half-life" is crucial in understanding the behavior of radioactive substances. The half-life is the time it takes for half of the radioactive nuclei in a sample to decay. It's a fundamental property of each radioactive isotope and varies widely from one isotope to another. Some isotopes have very short half-lives, measured in fractions of a second, while others have half-lives measured in millions of years.
The half-life allows scientists to quantitatively describe the rate of radioactive decay. It provides a useful tool for various applications, including dating geological samples (e.g., carbon-14 dating for archaeological purposes), understanding the behavior of radioactive materials in nuclear reactors, and determining the safety and handling of radioactive substances in medical and industrial settings.
In summary, radioactive substances are characterized by their propensity to undergo radioactive decay, and the concept of half-life is a fundamental aspect of their behavior. It quantifies the rate of decay and is essential for a wide range of scientific and practical applications.
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The half-life of a radioactive substance is the time it takes for half of it to decay. The remaining amount of substance can be calculated by dividing the initial amount by two for each half-life that elapses.
Define Half-Life
The half-life of a radioactive substance is the length of time required for half of the radioactive nuclei in a sample to undergo decay. This is a characteristic property of each radioactive isotope. After one half-life, the amount of the original substance is reduced by half. Thus, after an integer number (n) of half-lives, the amount remaining can be found by dividing the initial amount by 2n.
Determine the Amount of Radioactive Substance Remaining
For example, if you start with 5 grams of a radioactive isotope and one half-life passes, you would have 2.5 grams remaining. If another half-life passes, you divide that amount by two again, leaving you with 1.25 grams, and so on for each subsequent half-life.
Considering the example provided in the prompt, if substance A has a half-life of 4.2 days and your initial amount is 5 grams, after one half-life (4.2 days), you would have 2.5 grams remaining. Similarly, substance B with a half-life of 310 days would still be 5 grams after the same period, as the number of elapsed half-lives would be much less than one.
Please answer the question on the picture
Answer:
radial artery and carotid artery
Explanation:
How are electromagnetic waves different from ocean waves
Electromagnetic waves can travel through matter and a vacuum, and carry energy via their electric and magnetic fields. Meanwhile, ocean waves are mechanical, requiring water to move and don't carry energy in the same way. This fundamental difference in propagation and energy transfer sets the two apart.
Explanation:Electromagnetic waves and ocean waves differ significantly in their nature and behavior. Electromagnetic waves are disturbances in the electric and magnetic fields and do not require a medium to propagate. They can travel through both matter and a vacuum, such as outer space, and all electromagnetic waves move at the same speed in empty space. This makes them different from other waves, such as sound and water waves, which are mechanical and require a medium (like air or water) to travel through.
On the other hand, ocean waves are mechanical waves that require water to move. These can be modeled using sine or cosine functions, depending on their wavelength, amplitude, and frequency. Unlike electromagnetic waves, ocean waves cannot move through a vacuum or empty space.
Another key difference is in the way electromagnetic waves bring energy into a system due to their electric and magnetic fields. These fields can exert forces and move charges in the system and thus do work on them.
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Electromagnetic waves are produced by the vibration of charged particles, can travel through a vacuum, and always travel at the speed of light. Unlike them, ocean waves require a medium to travel and their properties are influenced by environmental factors.
Differences Between Electromagnetic Waves and Ocean Waves
Electromagnetic waves differ from ocean waves in several fundamental ways. While both are forms of energy propagation, electromagnetic waves are produced by the vibration of charged particles and do not require a medium, meaning they can travel through the vacuum of space. In contrast, ocean waves are mechanical waves that require a medium, such as water, to travel. Electromagnetic waves have both electric and magnetic components and travel at the speed of light, which is a constant 300 million meters per second, regardless of their frequency or wavelength.
Another key difference is in how the waves carry energy. Longer electromagnetic waves, like radio waves, carry less energy and have lower frequencies, while shorter waves, like gamma rays, carry more energy and have higher frequencies. Ocean waves, on the other hand, have their energy and properties determined by factors such as wind, the gravitational pull of the moon, and the Earth's topography.
Resonance occurs when a force causes an object to vibrate at
Answer:
Its natural frequency
Explanation:
Resonance occurs when a force causes an object to vibrate. The object has a higher probability of doing so at a specific rate called the object's natural frequency or resonant.
The frequency is dependent on the size, shape, and composition and properties of the object involved.
Answer:
Resonance occurs when a force causes an object to vibrate at
its own natural frequency
Explanation:
What is resonance .
This is a phenomenon in which an external force or a vibrating system forces another system around it to vibrate with greater amplitude at a specified frequency of operation.
When an object is forced to vibrate at its natural frequency, resonance occurs. Sound can travel through solids, liquids, gases, and even a vacuum. In order for sound from a speaker to reach a listener, air near the speaker must travel to the listener
What is a forced vibration?
Forced vibration is a type of vibration in which a force is repeatedly applied to a mechanical system.
Forced vibration is when an alternating force or motion is applied to a mechanical system.
Recent research indicates that the variation in solar output ________.
The variation in solar output, or solar irradiance, can affect Earth's climate. Increased solar output can cause global warming, while decreased output can lead to cooling. These changes may interact with human-induced climate change, adding complexity to the climate scenario.
Explanation:Recent research indicates that the variation in solar output can have significant impacts on Earth's climate. The sun's energy output, also known as solar irradiance, is not constant but changes in cycles. An increase in the sun's solar output can intensify Earth's weather patterns and temperatures, leading to global warming, while a decrease can lead to a period of cooling, which can be severe enough to cause an ice age as what happened during the Maunder Minimum in the 17th century. These are not immediate changes but play out over many generations.
In terms of Earth's climate, the variation in solar output may at times overlap or interact with the effects of human-induced climate change, complicating the overall picture. Therefore, it is crucial to understand both natural and human-induced factors influencing our planet's climate.
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HELP ASAP How are the bars in barred spiral galaxies thought to have formed?
A. separation
B. primordial collapse
C. merging
D. slow evolution
Answer:
D. slow evolution
Explanation:
The bars in barred spiral galaxies are formed through ; ( D ) slow evolution
Barred spiral galaxies are galaxies which appear with its center having a bar-shaped structure which is populated with stars, and this is found/commonly seen in about 50% of spiral galaxies.
The bar shaped center helps with the regulation of the movement of stars, dust and gas in the spiral galaxies.The bars are formed as the spiral galaxies continue to evolve slowly overtime.
Hence we can conclude that The bars in barred spiral galaxies are formed through slow evolution.
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A basketball player makes a jump shot. The 0.599 kg ball is released at a height of 2.18 m above the floor with a speed of 7.05 m/s. The ball goes through the net 3.10 m above the floor at a speed of 4.19 m/s. What is the work done on the ball by air resistance, a nonconservative force?
Answer:
[tex]W_{drag} = 4.223\,J[/tex]
Explanation:
The situation can be described by the Principle of Energy Conservation and the Work-Energy Theorem:
[tex]U_{g,A}+K_{A} = U_{g,B} + K_{B} + W_{drag}[/tex]
The work done on the ball due to drag is:
[tex]W_{drag} = (U_{g,A}-U_{g,B})+(K_{A}-K_{B})[/tex]
[tex]W_{drag} = m\cdot g\cdot (h_{A}-h_{B})+ \frac{1}{2}\cdot m \cdot (v_{A}^{2}-v_{B}^{2})[/tex]
[tex]W_{drag} = (0.599\,kg)\cdot (9.807\,\frac{m}{s^{2}} )\cdot (2.18\,m-3.10\,m)+\frac{1}{2}\cdot (0.599\,kg)\cdot [(7.05\,\frac{m}{s} )^{2}-(4.19\,\frac{m}{s} )^{2}][/tex]
[tex]W_{drag} = 4.223\,J[/tex]
Answer:
W = -4.22 J
Explanation:
Given
m = 0.599 kg
vi = 7.05 m/s
yi = 2.18 m
vf = 4.19 m/s
yf = 3.10 m
We apply the equations of the Principle of Energy Conservation and the Work-Energy Theorem
W = Ef - Ei
W = (Kf + Uf) - (Ki + Ui)
W = (m/2)(vf² - vi²) + mg(yf - yi)
W = (0.599 kg/2)((4.19 m/s)² - (7.05 m/s)²) + (0.599 kg)(9.81m/s²)(3.10 m - 2.18 m)
W = -4.22 J
If a girl makes a homemade sling shot that requires a force of 14 N to pull it's pebble (.08kg) into place at 0.1 m from the resting position of the sling shot, the maximum velocity of the pebble will be
Answer:
Explanation:
Givent that,
The required force to pull the peddle is
F = 14N,
The peddle has a mass of
m = 0.08kg
To a distance of 0.1m
d = 0.1m
Using conservation of energy
The workdone by pulling the peddle to a certain distance is equal to the kinectic energy of the peddle
Work done = K.E
F × d = ½ mv²
14 × 0.1 = ½ × 0.08 × v²
1.4 = 0.04 v²
v² = 1.4 / 0.04
v² = 35
v = √35
v = 5.92 m/s
The velocity of the peddle is 5.92 m/s
How can the motion of a charged particle be used to distinguish between a magnetic field and an electric field in a certain region? The charged particle follows a spiral path in a magnetic field. The charged particle follows a linear path in a magnetic field. The charged particle follows a spiral path in an electric field
Answer:
The charged particle follows a spiral path in a magnetic field.
Explanation:
A charge immersed in a region with an electric field experiences a force that acts along the same direction of the electric field. In particular:
- The force has the same direction as the electric field if the charge is positive
- The force has the opposite direction as the electric field if the charge is negative
Therefore, a charge moving in an electric field is accelerated along the direction of the electric field.
On the other hand, a charge in motion in a region with a magnetic field experiences a force that acts perpendicular to the direction of the field. This means that a charge in motion in a magnetic field will acquire a circular motion in the plane perpendicular to the direction of the magnetic field.
As a result, if the particle has also a original motion outside this plane, its final motion will consist of:
- A uniform motion along that direction, +
- A circular motion along the plane perpendicular to the field
So, the resultant motion of the particle will be a spiral path. So the correct answer is
The charged particle follows a spiral path in a magnetic field.
Final answer:
The motion of charged particles differs significantly in electric versus magnetic fields. In magnetic fields, particles exhibit circular or spiral motions, and in electric fields, the motion is linear. This difference allows for the clear distinction between the two types of fields based on the particle's path.
Explanation:
The motion of a charged particle can be a revealing indicator of the presence and type of field it is moving through. When examining the behavior of charged particles, we see distinct patterns emerge in magnetic and electric fields. For magnetic fields, the motion is characterized by circular or spiral paths due to the magnetic force acting perpendicular to the particle's velocity. This is starkly different in an electric field, where the charged particle tends to move in a linear path along the direction of the field.
Magnetic fields cause a charged particle to follow a circular or helical path, with the nature of this motion being dependent on the angle between the velocity of the particle and the magnetic field lines. Technologies such as cyclotrons and mass spectrometers exploit this principle, utilizing magnetic fields to guide charged particles along desired paths.
In contrast, in an electric field, charged particles move linearly, aligning with the electric field lines. This linear motion is a result of the electric force acting along the direction of the field, guiding the particles in a straightforward path. The distinction between these two types of motion provides a clear method for distinguishing between magnetic and electric fields based on the observed path of a charged particle.
Cosmic microwave background radiation is classified as a form of electromagnetic energy because it
Answer:
travels in waves through space
Explanation:
A cosmic microwave background radiation is classified as a form of electromagnetic energy because it
travels in waves through space
The cosmic microwave background is assumed to be a left over radiation from the Big Bang, or the time when the universe began. This means its radiationis most visible in the microwave part of the electromagnetic spectrum.
Answer:
The answer is:
Because it travels in waves through space.
Explanation:
CMB is a form of radiation discovered in 1965 that is presented as one of the main tests of the cosmic model since it is a type of radiation that fills the entire universe.
It has the characteristics of black-body radiation (a theoretical or ideal object that absorbs all light and all radiant energy incident on it) at a temperature of 2,725 K, with a frequency of 160.2 GHz and a length of 1.9mm wave belonging to the microwave. rank
This is a measure of an object's ability to transmit electricity.
Final answer:
Electrical conductivity is a property indicating how easily electricity can flow through a material, with conductors having high conductivity and insulators having low. Resistance measures how much a material opposes the flow of charge, dependent on the material's resistivity and affected by temperature. Dielectric strength is the maximum electric field an insulator can withstand before conducting.
Explanation:
The measure of an object's ability to transmit electricity is known as its electrical conductivity. Electrical conductivity is a property of materials that indicates how easily electric current can flow through them. Conductors, like copper, gold, and silver, exhibit high electrical conductivity, whereas insulators have much lower electrical conductivity. Electrical conductivity is quantified by the relationship σ = J/E, where σ is the conductivity, J is the current density, and E is the electric field strength. Materials with high conductivity have low resistance, while materials with low conductivity have high resistance. The resistance of a material is influenced by its inherent resistivity and is also affected by factors like temperature.
Resistance is a concept that describes how much a material opposes the flow of electric charge. Highly resistant materials make it difficult for electric current to pass through, necessitating a higher energy (voltage) to drive the current. Additionally, the resistivity of a material is a fundamental property that dictates the resistance of an object made from that material. Superconductors are exceptional in that they have zero resistance at very low temperatures, meaning they can conduct electricity without energy loss.
Another related concept is dielectric strength, which pertains to insulating materials. It is defined as the maximum electric field strength that an insulating material can withstand before it begins to break down and conduct electricity, signifying a loss of its insulating properties.
Thermal conductors
A have low latent heat
B. have lots of air pockets
C. are often metals
D. have high conductivity
E. have low conductivity
can pick multiple
Answer:
C. are often metals
and
D. have high conductivity
How do you find the volume of a rock
Answer:
You put the rock in a graduated cylinder and measure how many milliliters it goes up.
Explanation:
A cube 10.0 cm on each side has a density of 2.053 x 10^4 kg/m^3. It’s apparent weight in fresh water is 192 N. Find the buoyant force.
Answer:
9 N
Explanation: Given that L = side of the cube = 10cm = 0.1m
Mass = Density * Volume
Let’s determine the volume of the cube in m^3.
V = L^3
V = 0.1^3 = 0.001m^3
Mass = 0.001 * 2.053 * 10^4 = 20.53kg
Weight = 20.53 * 9.8 = 201.194
Buoyant force = 201.194 – 192 = 9.194 N
This is approximately 9 N.
Given:
Length,
L = 10 cm= 0.1 m
Density,
d = [tex]2.053\times 10^4 \ kg/m^3[/tex]Let,
The volume be in "[tex]m^3[/tex]"
then,
→ [tex]V = L^3[/tex]
[tex]= 0.1^3[/tex]
[tex]= 0.001 \ m^3[/tex]
Now,
→ [tex]Mass = Density\times Volume[/tex]
By putting the values,
[tex]= 0.001\times 2.053\times 10^4[/tex]
[tex]= 20.53 \ kg[/tex]
then,
Weight = [tex]20.53\times 9.8[/tex]
= [tex]201.194[/tex]
hence,
The Buoyant force is:
= [tex]201.194-192[/tex]
= [tex]9.194 \ N[/tex]
Thus the above answer is correct.
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What is electrical power? how to measure power?
Answer:
Electric power is the rate at which work is done or energy is transformed in an electrical circuit.
P = W/t
Explanation
Where P is Power,
W is work
t = Time passed
which image illustrates diffraction
Answer:
its the 3rd one with the hand and the beam on light shining through it
Explanation:
Answer:
3rd choice
Explanation:
glass of water is refraction
cat/mirror is reflection
an example of diffraction is if you have a screen w/ a slit in it and you shined a light on one side of it, so based on that, I would go with the 3rd choice with the hand and the light coming through between the fingers
how do you find the velocity of a wave?
Answer:
According to me, v=w×f is the correct formula...
Explanation:
v=w×f :-
where "v" is the waves velocity.where "w" is the wavelength.And where "f" is the frequency of the source.The velocity of a wave can be found by multiplying the wavelength of the wave by its frequency.
Explanation:The velocity of a wave can be found by multiplying the wavelength of the wave by its frequency. The formula for wave speed is v = λf, where v is the velocity, λ is the wavelength, and f is the frequency. For example, if the wavelength of a wave is 2 meters and its frequency is 5 Hz, the velocity of the wave would be 10 m/s. It's important to note that the velocity of a wave is determined by the medium through which it is traveling and not by the amplitude of the wave.
Technician A says that many power windows and power door locks use a permanent-magnet motor with a built-in circuit breaker and is reversible. Technician B says that the control switches and relays direct the current through the motor(s). Which technician is correct
Answer:
Both A and B
Explanation:
Normally, the direct current through motor is controlled and directed by the control switches. Also, most of the available power windows and power locks in the market utilize the reversible permanent and in-built circuit breakers. Therefore, both technicians are correct.
A car is traveling in a race. The car went from the initial velocity of 35 m/s to the final velocity of 6 m/s in 5 seco
is the acceleration?
-13 m/s?
-6 m/s
6 m/s
13 m/s
Answer:
Explanation:
Acceleration = a change in velocity / a change in time
Acceleration = ( final velocity - initial velocity) / a change in time
Acceleration = (6m/s - 35 m/s ) / 5 s
= (-29 m/s) /( 5 s)
= - 5.8 m/s^^2
Remember Significant Figures
- 6 m/s^2
P.S I have no idea why the answers say m/s because acceleration is m/s^2.
:)
1 point
If you had an object (m=55kg) with a mechanical energy (TOTAL ENERGY)
of 4,306J and 2,940J of that is potential energy. What is the objects
velocity?
Given that,
Mass of object, m = 55 kg
Mechanical energy of the object, M = 4306 J
Potential energy, P = 2940 J
We know that the mechanical energy is the sum of kinetic and potential energy such that,
Mechanical energy = kinetic energy + potential energy
[tex]K=M-P\\\\K=4306-2940\\\\K=1366\ J[/tex]
Kinetic energy is given by :
[tex]K=\dfrac{1}{2}mv^2[/tex]v is velocity of object
[tex]v=\sqrt{\dfrac{2K}{m}} \\\\v=\sqrt{\dfrac{2\times 1366}{55}} \\\\v=7.04\ m/s[/tex]
So, the velocity of object is 7.04 m/s.
An object is pulled with two forces, 10 N northward and 15 N southward. The direction of the net force is to the An object is pulled with two forces, 10 N northward and 15 N southward. The direction of the net force is to the south. north. east. west. none of the above SubmitR
Answer:
check image
Explanation:
For any question related to newons law of motion first draw the free body diagram(FBD),
Waves are used in many practical applications to support work, entertainment, and health. One example is the use of ultrasound imaging to safely track the development of a growing fetus. What is a specific example of a practical application of waves in medicine, entertainment, safety, or other fields? Provide a brief explanation of how the properties of waves are useful to that application.
Answer:
A wave is defined as the disturbance of some property of a medium, be it the density, the pressure, or the electric field, propagating through space and thus transporting energy. An application of waves in medicine is ultrasound examinations. These images are taken in real time, showing the structure and the
movement of the internal organs, as well as the blood that goes through the blood vessels.
In entertainment, a common application of the waves is civil radio communication. This consists of the transmission of the signals of a certain type of electromagnetic waves. When they are modulated, the frequency or amplitude is modified and in this way the information is transmitted, from the emitter to the receivers. Then they transform into electrical impulses and then into audible sounds.
Explanation:
A specific example of a practical application of waves in medicine is the capturing of the body structures to detect abnormalities in them.
The Ultrasound MachineThe ultrasound machine is a device that generates high-frequency sound waves that are reflected off body structures. For example, to detect an abnormality like kidney stones, an ultrasound machine can be used to capture the kidney.
This image will be examined by a medical examiner who analyzes the nature of the stones.
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A 7.7cm length of straight wire run horizontally along a north south line . The wire carries a 3.45 current flowing northward through a uniform 1.25 T magnetic field vertical upward. Find the magnetude and directions of the force wire
Answer:
F = 0.332 N in the east direction
Explanation:
Length, L = 7.7 cm = 7.7 * 0.01 = 0.077 m(along the north south)
Current, I = 3.45 A (northwards)
Magnetic field, B = 1.25 T (vertically upwards)
The magnitude of the force is given by, F = ILBsin90
F = 3.45 * 0.077 * 1.25 * 1
F = 0.332 N
The direction of the force is calculated using the Right Hand Thumb Rule:
It states that "Hold the wire carrying current in your right hand so that the thumb points along the wire in the direction of the current, then the fingers will encircle the wire in the direction of the lines of magnetic force."
Based on the Right Hand Thumb Rule, the magnetic force will act in the east direction
At a given instant an object has an angular velocity. It also has an angular acceleration due to torques that are present. Therefore, the angular velocity is changing. Does the angular velocity at this instant increase, decrease, or remain the same (a) if additional torques are applied so as to make the net torque suddenly equal to zero and (b) if all the torques are suddenly removed
a) Constant
b) Constant
Explanation:
a)
We can answer this question by using the equivalent of Newton's second law of motion of rotational motion, which can be written as:
[tex]\tau_{net} = I \alpha[/tex] (1)
where
[tex]\tau_{net}[/tex] is the net torque acting on the object in rotation
I is the moment of inertia of the object
[tex]\alpha[/tex] is the angular acceleration
The angular acceleration is the rate of change of the angular velocity, so it can be written as
[tex]\alpha = \frac{\Delta \omega}{\Delta t}[/tex]
where
[tex]\Delta \omega[/tex] is the change in angular velocity
[tex]\Delta t[/tex] is the time interval
So we can rewrite eq.(1) as
[tex]\tau_{net}=I\frac{\Delta \omega}{\Delta t}[/tex]
In this problem, we are told that at a given instant, the object has an angular acceleration due to the presence of torques, so there is a non-zero change in angular velocity.
Then, additional torques are applied, so that the net torque suddenly equal to zero, so:
[tex]\tau_{net}=0[/tex]
From the previous equation, this implies that
[tex]\Delta \omega =0[/tex]
Which means that the angular velocity at that instant does not change anymore.
b)
In this second case instead, all the torques are suddenly removed.
This also means that the net torque becomes zero as well:
[tex]\tau_{net}=0[/tex]
Therefore, this means that
[tex]\Delta \omega =0[/tex]
So also in this case, there is no change in angular velocity: this means that the angular velocity of the object will remain constant.
So cases (a) and (b) are basically the same situation, as the net torque is zero in both cases, so the object acts in the same way.
where do cardiac muscles cause movement in?
-bone
-tendon
-ligament
-organ
Answer:it the tendon
Explanation:
Answer: The answer would be bone... I mean organ
Explanation:
Look in the defenition In edunuity
To store stacks of clean plates, a cafeteria uses a closed cart with a spring-loaded shelf inside. Customers can take plates off the stack one at a time through a hole in the top. A stack of plates compresses the spring 0.40 m. The spring constant is 240 N/m. What is the elastic potential energy of the spring?
Answer:
19.2J
Explanation:
For a string-mass system the elastic potential energy is given by:
[tex]U=\frac{1}{2}kx^2[/tex]
k: spring's constant = 240N/m
x: compression = 0.40m
by replacing the values of k and x you obtain:
[tex]U=\frac{1}{2}(240N/m)(0.40m)^2=19.2J[/tex]
hence, the elastic potential energy is 19.2J
Answer:
19.2j I took the assessment and got it right :)
Explanation:
What does the term “agony of defeat” mean to you?
Answer:
The noun agony means acute pain — either mental or physical, but people often use the word hyperbolically: "This paper cut is agony." The noun agony is also used in the common phrase "the thrill of victory and the agony of defeat," which has been the tag-line of ABC's Wide World of Sports for decades.
Explanation:
Which formula is used to find fluctuation of the shape of body
Answer:
varn=n1+1ehvkT–1
Explanation:
This is Einstein's equation.
The fed can attempt to decrease the federal funds rate by
Answer:
purchasing bonds in order to increase the money supply.
Explanation:
The Federal Reserve raises or lowers interest rates through its regularly scheduled Federal Open Market Committee. That's the monetary policy arm of the Federal Reserve Banking System.
The Fed can attempt to increase the federal funds rate by selling Treasury bills, which decreases bank reserves.
An automobile tire having a temperature of 3.4 ◦C (a cold tire on a cold day) is filled to a gauge pressure of 24 lb/in2 . What would be the gauge pressure in the tire when its temperature rises to 26◦C? For simplicity, assume that the volume of the tire remains constant, that the air does not leak out and that the atmospheric pressure remains constant at 14.7 lb/in2 . Answer in units of lb/in2 .
Answer:
[tex]27.164 lb/in^2[/tex]
Explanation:
We are given that
Gauge pressure at 3.4 degree Celsius,P=[tex]24lb/in^2[/tex]
We have to find the gauge pressure in tire when the temperature rises to 26 degree Celsius.
Atmospheric pressure=[tex]14.7lb/in^2[/tex]
[tex]P_1=P+14.7=24+14.7=38.7lb/in^2[/tex]
K=273+Degree Celsius
[tex]T_1=3.4+273=276.4 K[/tex]
[tex]T_2=26+273=299K[/tex]
[tex]P_2=\frac{P_1T_2}{T_1}[/tex]
[tex]P_2=\frac{38.7\times 299}{276.4}[/tex]
[tex]P_2=41.864 lb/in^2[/tex]
Gauge pressure in tire when the temperature rises to 26 degree Celsius.=[tex]41.864-14.7=27.164lb/in^2[/tex]
Answer:
27.16 lb/in²
Explanation:
initial temperature, T1 = 3.4 °C = 276.4 K
initial gauge pressure, P1 = 24 lb/in²
atmospheric pressure, Po = 14.7 lb/in²
initial absolute pressure, P1' = Po + P1 = 14.7 + 24 = 38.7 lb/in²
final temperature, T2 = 26 °C = 299 K
Let the final gauge pressure is P2.
use the ideal gas equation and the volume is constant.
[tex]\frac{P_{1}'}{T_{1}}=\frac{P_{2}'}{T_{2}}[/tex]
[tex]\frac{38.7}{276.4}=\frac{P_{2}'}{299}[/tex]
P2' = 41.86 lb/in²
Now the gauge pressure, P2 = P2' - Po = 41.86 - 14.7 = 27.16 lb/in²
Thus, the new gauge pressure is 27.16 lb/in².
1) Analyze the student data as if you were Ms. Olivera. One group clearly
won the challenge. What aspects of the winning design accounted for
the strength of Group #2's electromagnet?
A)
Using a 9-volt battery for more electrical energy.
Longer wire allows for more turns around the iron
core
More turns of wire around the core and the maximum
voltage
Using a double-nail core and more turns of wire
around that core.
Answer:
I think the answer is C
Explanation:
When you look at the table, two designs used a 9-volt battery, but the second design lifted more wait because the amount of wire they had wrapped around the magnetic core was more.
Group #2's electromagnet was stronger due to the use of a 9-volt battery, longer wire, and a double-nail core.
Explanation:The strength of Group #2's electromagnet can be attributed to several aspects of their design:
Using a 9-volt battery: This provides more electrical energy, which increases the strength of the electromagnet.Longer wire: A longer wire allows for more turns around the iron core, resulting in a stronger magnetic field.Double-nail core: This design feature, along with more turns of wire around the core, further enhances the magnetic strength.By combining these aspects, Group #2 was able to create a stronger electromagnet compared to other groups.
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