The only possibility remaining is barium-139, which is a stable (non-radioactive) isotope and would not have undergone any radioactive decay during the time period between measurements. Hence, the unknown radioisotope in the sample is barium-139.
To determine which radioisotope is in the sample, we need to use the concept of radioactive decay and half-life. Radioactive decay is a process by which the nucleus of an unstable atom loses energy by emitting particles or radiation.
The rate of decay of a radioactive substance is described by its half-life, which is the time it takes for half of the substance to decay.
Let's calculate the half-life of each radioisotope listed in the table:
Potassium-42: Half-life of 12.4 hours
Nitrogen-13: Half-life of 10 minutes
Barium-139: Stable (non-radioactive)
Radon-220: Half-life of 55.6 seconds
From the given data, the sample of the unknown radioisotope had a mass of 104.8 kg at 12:02:00 p.m. and 13.1 kg at 4:11:00 p.m. on the same day, which is a time difference of 4 hours and 9 minutes.
Let's start by looking at the radioisotope with the longest half-life, which is potassium-42.
If the unknown radioisotope was potassium-42, its mass would have decreased by half during 12.4 hours, which is much longer than the 4 hours and 9 minutes between the measurements.
Therefore, we can eliminate potassium-42 as a possibility.
Next, let's consider nitrogen-13. If the unknown radioisotope was nitrogen-13, its mass would have decreased by half during 10 minutes. We can convert the time difference between measurements to minutes:
4 hours and 9 minutes = 249 minutes
Therefore, the number of half-lives during this time period would be:
249 / 10 = 24.9
This means that the mass of the sample would have decreased by a factor of \(2^{(24.9)\), which is approximately \(2.7 * 10^7\). Starting from the initial mass of 104.8 kg, the final mass would be:
104.8 kg / \((2.7 * 10^7)\) = \(3.9 * 10^{-6\) kg
This is much smaller than the measured final mass of 13.1 kg, so we can eliminate nitrogen-13 as a possibility.
Finally, let's consider radon-220. If the unknown radioisotope was radon-220, its mass would have decreased by half during 55.6 seconds. We can convert the time difference between measurements to seconds:
4 hours and 9 minutes = 14940 seconds
Therefore, the number of half-lives during this time period would be:
14940 / 55.6 = 269
This means that the mass of the sample would have decreased by a factor of \(2^{269\), which is approximately 6.8 x \(10^{80\). Starting from the initial mass of 104.8 kg, the final mass would be:
104.8 kg / (\(6.8 * 10^{80\)) = \(1.54 * 10^{-79\)kg
This is much smaller than the measured final mass of 13.1 kg, so we can eliminate radon-220 as a possibility.
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Answer: c
Explanation:
You push a box with a force of 300 N for 5 meters. What is the work done on the box?
Answer:
1500N
Explanation:
What is responsible for keeping an object at rest or maintaining an object's constant velocity? balanced forces external forces unbalanced forces Gravity Friction
Answer:
balanced forces external forces
Explanation:
A body that is under a network of balanced external forces will experience no resultant force at all, since all the forces cancel themselves out. A body that is moving with this type of force will experience no acceleration, since there is no force acting on them. This lack of acceleration means that the body maintains a constant velocity if it is already in motion, or zero when the body is at rest.
the three laws dealing with the creation of various spectra are due to:
The three laws dealing with the creation of various spectra are due to Kirchhoff's Laws of Spectroscopy, established by Gustav Kirchhoff in the 19th century. These laws help us understand and classify the different types of spectra: continuous, emission, and absorption spectra.
1. Kirchhoff's First Law states that a hot, dense object, such as a solid, liquid, or high-pressure gas, produces a continuous spectrum. In a continuous spectrum, all wavelengths of light are present without any gaps or breaks. This is due to the thermal motion of particles, causing them to emit light at a range of wavelengths. Examples of continuous spectra include the light emitted by incandescent light bulbs or the sun's visible light.
2. Kirchhoff's Second Law concerns hot, low-density gases, which produce an emission spectrum. In an emission spectrum, only specific wavelengths of light are emitted, creating bright lines on a dark background. These discrete lines correspond to the unique energy levels of the gas's atoms or molecules, as they release energy when electrons transition from higher to lower energy states. Emission spectra can be used to identify elements, as each element has a unique set of emission lines.
3. Kirchhoff's Third Law deals with the absorption spectrum, created when light passes through a cool, low-density gas. This gas absorbs specific wavelengths of light, corresponding to the energy levels of its atoms or molecules. The absorption spectrum appears as a continuous spectrum with dark lines, where the gas has absorbed light. These dark lines are called absorption lines, and their patterns can also be used to identify elements.
In summary, Kirchhoff's Laws of Spectroscopy explain the creation of continuous, emission, and absorption spectra based on the properties of the emitting or absorbing objects. These laws help us analyze and identify elements and molecules in various astronomical and laboratory settings.
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What is the first law of gravity??
Answer:
every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.
Explanation:
Calculate the average translational kinetic energy, Ek, for one mole of gas at 811 K. Translational kinetic energy is sometimes called average kinetic energy. Ek = ________J/mol Calculate the average translational kinetic energy for a single gas molecule at 811 K. Ek = ________J/molecule
The average translational kinetic energy for a single gas molecule at 811 K is\(3.338 x 10^-21 J/molecule.\)
To calculate the average translational kinetic energy, Ek, for one mole of gas at 811 K, we can use the following formula:
\(Ek = (3/2)RT\)
Where R is the gas constant and T is the temperature in Kelvin. For one mole of gas, we know that there are 6.022 x 10^23 gas molecules. So, substituting the values, we get:
\(Ek = (3/2)(8.314 J/mol*K)(811 K)Ek = 31,536 J/mol\)
Therefore, the average translational kinetic energy, Ek, for one mole of gas at 811 K is 31,536 J/mol.
To calculate the average translational kinetic energy for a single gas molecule at 811 K, we can use the following formula:
\(Ek = (1/2)mv^2\)
Where m is the mass of a gas molecule and v is the velocity of the gas molecule. The average velocity of a gas molecule can be calculated using the root-mean-square velocity formula:
\(v = √(3RT/m)\)
So, substituting the values, we get:
v = √(3(8.314 J/mol*K)(811 K)/(0.028 kg/mol))
v = 492.8 m/s
Now, substituting the values in the formula for Ek, we get:
\(Ek = (1/2)(0.028 kg/mol)(492.8 m/s)^2Ek = 1.364 x 10^-20 J/molecule\)
Therefore, the average translational kinetic energy for a single gas molecule at 811 K is 1.364 x 10^-20 J/molecule.
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a cylindrical rod has equal and opposite forces applied parallel to the surface of its circular ends. the forces are directed toward the center of the rod. what type of stress is this rod subject to?
The force that results in a material's deformation and subsequent reduction in volume is known as compression stress.
What exactly are tensile and compressive stress?Tensile Stress: When a body is subjected to an equal force that is applied perpendicular to its cross-sectional area, it deforms. Definition of Compressive Stress: The solid is compressed by the application of an external force. The body, which is known for compressive stress, responds by producing the restoring force.The force that results in a material's deformation and subsequent reduction in volume is known as compression stress. A material shrinks in volume as a result of the stress it experiences. The failure of the material is caused by high compressive stress.To learn more about compression refer to:
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Which of the following statements best describes the method of energy conservation known as cogeneration?
Answer:
heat and power
Explanation:
is the simultaneous production of electricity and heat both of which are used
i need help with this question, i’ll mark as Brainliest!!
Answer:
The given Device is a :
SOLENOID.Since at the left corner, The MFL (Magnetic field lines) are entering the solenoid OR terminating at this end, This end turns out to be the SOUTH POLE.
According to the arrows, The current is always in the direction of the magnetic field. So, The current is leaving the Solenoid at the top right corner.
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807Answer:
The name of the device is Solenoid. Left end represents South Pole. The current ( I ) is leaving the wire coil at the top right corner.
Explanation:
Hope you understand....
Why is the milky way galaxy not expanding together with the rest of the universe?.
Answer:
Local gravity dominates over the expansion of the universe.
Explanation:
(The expansion of the universe is a relatively weak force acting throughout the universe).
I WILL MARK YOU IF YOU HELP
An object has a mass of 3.8 kg and a force of 11.6 N is applied to it. What is the acceleration that results?
A 140 g coin sits on a horizontally rotating turntable. the turntable makes one revolution each 1 s. the coin is located 14 cm from the axis of rotation of the turntable. the acceleration of gravity is 9.81 m/s2. what is the frictional force acting on the coin? answer in units of n. the coin will slide off the turntable if it is located more than 24 cm from the axis of rotation. what is the coefficient of static friction?
The frictional force experienced on the coin, when it is at a distance of 14 cm is 0.77N and the coefficient of static friction when the coin slides off will be 0.964.
To find the answer, we need to know more about the friction.
How to find the coefficient of static friction?We have given with the following values,\(m=140*10^{-3} kg\\w=1 rev/s=2\pi rad/s\\r_1=14*10^{-2}m\\g=9.81m/s^2\\\)
When the coin is at a distance of 14cm from the axis of rotation, it will experience a centripetal force inward, and which is in opposite direction of the frictional force.Thus, the frictional force experience on the coin will be equal to the centripetal force.\(f=F_c=ma_c=m*r_1w^2\\f=140*10^{-3}*14*10^{-2}*4*\pi ^2=0.77N\)
The coin will slide off the turntable, if it is located at a distance of 24cm.We have to find the coefficient of static friction when it is at a distance of 24cm from the axis of rotation.We have the expression for static friction as,\(f_s=kN,\\\\Where, \\N=mg\\\\k=\frac{f_s}{mg}\)
We have to find the value of static friction at a distance 24 from the center of the table. This will be equal to the Fc at 24cm.\(F_c=f_s=mrw^2=140*10^{-3}*24*10^{-2}*4\pi ^2\\f_s=1.325N\)
Thus, the coefficient of static friction will be,\(k=\frac{1.325}{140*10^{-3}*9.81}=0.964\)
Thus, we can conclude that, the frictional force experienced on the coin, when it is at a distance of 14 cm is 0.77N and the coefficient of static friction when the coin slides off will be 0.964.
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Why does diffusion happen?
Answer:
Diffusion happens in liquids and gases because their particles move randomly from place to place.
which of the following is not non constant force
A. gravitational force
B. frictional force
C.magnetic force
D. electrical force
Answer:
Frictional force. hope this helps have a good day
Answer:
frictional force
Explanation:
Friction always acts to oppose any relative motion between surfaces. For the simple example of a book resting on a flat table, the frictional force is zero. There is no force trying to move the book across the table, so there is no need for a frictional force because there is nothing for the frictional force to oppose.
the diagram below shows several forced acting on a small object the direction of the object acceleration is towards
The direction of the object acceleration is towards North West.
The given parameters:
Force at North, = 4 NForce at South, = 1 NForce at East, = 3 NForce at West, = 5 N, and 1 NWhat is a net force?A net force is the sum of all the forces acting on an object.The net force on the object is calculated as follows;
Vertical axis, = 4 N - 1 N = 3N north
horizontal axis, = 3 - (5 + 1) = 3N west
The direction of the resultant force is North west
Thus, the direction of the object acceleration is towards North West.
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How does ATP affect your body during exercise
Answer:
The source of energy that is used to power the movement of contraction in working muscles is adenosine triphosphate (ATP) – the body's biochemical way to store and transport energy. However, ATP is not stored to a great extent in cells. So once muscle contraction starts, the making of more ATP must start quickly.
Explanation: Brainliest?
If the amount of force from the group on the left was 235 N, what is the amount of force from the group on the right
Answer:
(F = ma ) Newton's second law states that force is proportional to what is required for an object of constant mass to change its velocity. This is equal to that object's mass multiplied by its acceleration.
A piston releases 18 J of heat into its surroundings while expanding from 0.0002 m^3 to 0.0006 m^3 at a constant pressure of 1.0 x 10^5 Pa. What are the correct values for heat and work for the piston?
Answer:
value of heat is 18 J
2. step by step
formular w=p(volume1-volume2)
w= 1.0×10^5(0.0006-0.0004)
w= 40 J
Convert 8.1 kilograms to grams
Answer:
8100 g
Explanation:
8.1 kg × 1000
= 8100 g
Answer:
8,100 Grams
Explanation:
To change Kilograms to Grams, you multiply the mass value by 1000.
So, 8.1kg x 1000 = 8,100g.
Hope this helps!
Which of the following is a part of a constitutional republic
Laws are written by a king
People must obey the president.
People vote for representatives.
People cannot affect the government.
On his fishing trip Justin rides in a boat 12 km south. The fish aren’t biting so they go 4 km west. They then follow a school of fish 1 km north. What distance did they cover? What was their displacement?
Answer:
I think the answer is 8km2
Answer:
Distance = 17km
Displacement = 12.6 km
Explanation:
south 12km
west 4km
north 1km
Total distance = 12 + 4 + 1 = 17km
Total displacement = in picture above.
is god real why or why not and what proof to back that up?
The concept of "God" means different things to different people, so it's difficult to provide a definitive answer to this question. Some people believe in a specific deity or deities, while others believe in a more abstract or universal concept of divinity. Still others do not believe in any kind of higher power at all. There is no single piece of evidence that can definitively prove or disprove the existence of God, as people's beliefs about God are often based on faith, personal experiences, and philosophical arguments. Ultimately, the question of whether God exists is a matter of personal belief and interpretation.
when was the potential energy the highest in this experiment and why
The potential energy is highest at a point that is at the maximum height with respect to ground.
Who is the formula to find the potential energy near earth's surface?The formula to find the potential energy near earth's surface is -
U = mgh
Given is to identify the point where potential energy is largest.
The potential energy is highest at a point that is at the maximum height with respect to ground.
Therefore, the potential energy is highest at a point that is at the maximum height with respect to ground.
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The removal of coal that is not close to earths surface through a horizontal opening in the side of a hill or mountain is called
Two protons are 11.86 fm apart. (1 fm= 1 femtometer = 1 x 10-15 m.) What is the ratio of the electric force to the gravitational force on one proton due to the other proton?
This is the answer tab
Firstly, we need to write the formulas for both the gravitational force and electric force. Our gravitational force is:
\(F_g=G\frac{m_1m_2}{d^2}\)And the electric force is:
\(F_e=k\frac{q_1q_2}{d^2}\)We can see that these forces have almost equal formulas. What we want is Fe/Fg. Before this, we can simplify the forces, as both particles have the same charge and mass. We're left with the following:
\(F_g=G\frac{m^2}{d^2}\)And
\(F_e=k\frac{q^2}{d^2}\)By dividing both, we get
\(\frac{F_e}{F_g}=\frac{(\frac{kq^2}{d^2})}{(\frac{Gm^2}{d^2})}=\frac{kq^2}{d^2}*\frac{d^2}{Gm^2}\)We have d^2 on the numerator and denominator. We can elimante the distance then, as it is different from zero. We have the following:
\(\frac{F_e}{F_g}=\frac{kq^2}{Gm^2}\)We can then replace our values with the constants. k is Coulomb's constant, q is the charge of a proton, G is Newton's constant, and m is the mass of a proton. We finally get
\(\frac{F_e}{F_g}=\frac{(9*10^9)*(1.6*10^{-19})^2}{(6.67*10^{-11})*(1.67*10^{-27})^2}=1.2386*10^{36}\)So, the electric force is 1.2386*10^36 times higher than the gravitational. The most interesting about this, is that it doesn't depend on the distance the two of them are apart.
An object has gravitational potential energy due to its?
An object has gravitational potential energy due to its an position relative to the gravitational field it is in.
The gravitational potential energy is determined by the mass of the object, the gravitational constant, and the distance between the object and the source of the gravitational field.
Gravitational potential energy is a type of potential energy that an object can have due to its position in a gravitational field. It is the energy that is stored in an object due to its position in a gravitational field and can be converted into other forms of energy.
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a particle is projected from a point a with a velocity of 21m/s at an angle of 53.1 degees to the horizontal. one second later another particle is projected at a point 0.3m below a with initial velocity of 31.5m/s at an angle of 36.9 degrees to the horizontal.
(i) prove that the particles collide
(ii) find the time of collision
(iii) find the distance of collision from point of projection
Answer:
(i) Please see graph of the motion of the particles created with MS Excel and the calculations in the following sections
(ii) The time of collision is approximately 1.0 seconds
(iii) The common horizontal distance of point collision from the point of projection is approximately 25.2 meters
Explanation:
The velocity with which the first projectile was fired, v₁ = 21 m/s
The angle to the horizontal the particle is launched = 53.1°
The time at which the other particle was launched = 1 second later
The location from which the other particle was projected = 0.3 m below the first particle
The initial velocity of the second particle = 31.5 m/s
The angle to the horizontal at which the second particle was projected, θ = 36.9°
(i) The height reached, by each of the particle is given as follows;
y = u·t - 1/2·g·t²
For the first projectile, we have;
y = 21·(t₁+1)×sin(53.1°) - 9.81·(t₁+1)²/2 + 0.3
For the second projectile, we have;
y= 31.5·(t₁)×sin(36.9°) - 4.905·(t₁)²
If the two projectiles collide, we get;
21·(t₁+1)×sin(53.1°) - 9.81·(t₁+1)²/2 + 0.3 = 31.5·(t₁)×sin(36.9°) - 4.905·(t₁)²
Using a graphing calculator for simplifying, we get;
-11.93·t₁ + 12.2 = 0
t₁ = 12.2/11.93 ≈ 1.02
Therefore, at time t₁ = 1.02 seconds, after the launch of the second particle, the two particle will be at the same vertical height
However, whereby at the time, t₂, the particles collide, the horizontal distance travelled, 'x', will be equal;
We have;
x = u·cos(θ)·t₁
For the first particle, we have;
x₁₁ = 21 × cos (53.1°) × (t₂ + 1)
For the second particle, we have;
x₂₂ = 31.5 × cos (36.9°) × t₂
At the point of collision, we have;
x₁ = x₂
∴ 21 × cos (53.1°) × (t₂ + 1) = 31.5 × cos (36.9°) × t₂
31.5 × cos (36.9°) × t₂ - 21 × cos (53.1°) × t₂ = 21 × cos (53.1°)
t₂ = 21 × cos (53.1°)/(31.5 × cos (36.9°) - 21 × cos (53.1°) ) = 1.00219236871
t₂ ≈ 1.0 seconds
Given that t₁ ≈ t₂, the particles reach the same height and the same horizontal distance at the same time, t₂ ≈ 1.0 and therefore, they collide.
(ii) The time of collision is found above as t₁ ≈ t₂ ≈ 1.0 seconds
(iii) The horizontal distance of the point of collision from the starting point, 'x', is given as follows;
x = 21 × cos (53.1°) × (1.0 + 1) ≈ 25.2
The horizontal distance of the point of collision from the starting point, x ≈ 25.2 meters
The vertical distance of the point of collision from the starting point of the second particle, 'y', is given as follows;
y = 21 × (1+1)×sin(53.1°) - 9.81 × (1+1)²/2 + 0.3 ≈ 14
The vertical distance of the point of collision from the starting point of the second particle, y ≈ 14 meters
The magnitude of the distance from the starting point of the second particle, r = √(25.2² + 14²) ≈ 28.8
The magnitude of the distance from the starting point of the second particle, r ≈ 28.4 meters.
Magnification of the image is formed by a mirror is -1.25,then answer the following questions
1. Mention the position of the object on the principle access
2. What kind of mirror is used to get the image
3. Mention the characteristics of the image
4. What is the height of the image if the object size is 2 cm
Answer:
below
Explanation:
1. in front of the mirror
2. convex mirror
3.upright and diminished
4.magnification= image height÷object height
-1.25=i.h÷2
ih=-1.25×2
i.h=-2.5
54(a) Define the capacitance of a capacitor
(b) State:
three factors on which the capacitance
a parallel plate capacitor depends.
(ii) two uses of capacitors.
(c) The plates of a parallel - plate capacitor
are 5mm apart and 2m² in area. The plates
are in vacuum. A potential difference of 1kv
is applied across the capacitor.
Calculate the:
(i)
Capacitance
(ii) charge on each plate
ii) electric intensity in the space between them
iv) energy stored in the capacitor
[NECO,2000] [Permitivity of free space.
Do=8.85x10-¹² Nm²C²1
a) The ratio of the electric charge on each conductor to the potential difference (i.e., voltage) between them is used to express capacitance.
b) The area of the plates, the spacing between them, and the type of insulating material or dielectric between them are the three variables that have an impact on a parallel-plate capacitor's capacitance.
c) The area of each plate, the dielectric material separating the plates, and the distance between the plates all affect the capacitance of a parallel plate capacitor.
What is Capacitor?An electrostatic field of energy is stored in a capacitor, a passive electrical component. A capacitor is made up of two conducting plates and an insulating substance called the dielectric in its most basic form.Farads (F), which bear the name of English physicist Michael Faraday, are the units used to measure the capacitance of a capacitor (1791–1867). There is a lot of capacitance in a farad.a capacitor is an electrical energy storage device that consists of two conductors that are isolated from one another and placed near to one another. A straightforward illustration of such a storage system is the parallel-plate capacitor.A dielectric material and two metal plates serve as the building blocks of a capacitor.To learn more about Capacitor refer to:
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What characteristic is shared by sunspots, solar flares, and coronal mass ejections? Select the two correct responses.(1 point)
They appear as dark spots on the sun's surface.
They tend to occur during active periods of the solar cycle.
They are caused by outward fluctuations of the sun's magnetic field.
They appear as bright spots on the sun's surface.
Answer:
they tend to occur during active periods of the solar cycle
Explanation:
The characteristic, shared by sunspots, solar flares, and coronal mass ejections, is they are dark spots on the sun's surface and occur in active solar cycle period.
What is solar activity?
The sunspots, solar flares, and coronal mass ejections are the type of solar activities. This solar activities are led by the solar magnetic activity.
Lets check all the option.
They appear as dark spots on the sun's surface-The sunspots are considered as dark spot. This option is correct.They tend to occur during active periods of the solar cycle-The sunspots, solar flares, and coronal mass ejections tend to occur during the solar cycle period.They are caused by outward fluctuations of the sun's magnetic field.The sunspots, solar flares, and coronal mass ejections are the result of solar magnetic activity. This option is not correct.They appear as bright spots on the sun's surface-The sunspots are considered as dark spot.Hence, the characteristic, shared by sunspots, solar flares, and coronal mass ejections is they appear as dark spots on the sun's surface and tend to occur during active periods of the solar cycle.
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16.) A person walks 4 meters east, then walks 3 meters north. Determine distance and
displacement.
Answer:
Long question good luck:)
Explanation:
Answer:7
Explanation:
because its the right answer