Answers
Answer:
Explanation:
Initially no of atoms of A = N₀(A)
Initially no of atoms of B = N₀(B)
5 X N₀(A) = N₀(B)
N = N₀ \(e^{-\lambda t}\)
N is no of atoms after time t , λ is decay constant and t is time .
For A
N(A) = N(A)₀ \(e^{-\lambda_1 t}\)
For B
N(B) = N(B)₀ \(e^{-\lambda_2 t}\)
N(A) = N(B) , for t = 2 h
N(A)₀ \(e^{-\lambda_1 t}\) = N(B)₀ \(e^{-\lambda_2 t}\)
N(A)₀ \(e^{-\lambda_1 t}\) = 5 x N₀(A) \(e^{-\lambda_2 t}\)
\(e^{-\lambda_1 t}\) = 5 \(e^{-\lambda_2 t}\)
\(e^{\lambda_2 t}\) = 5 \(e^{\lambda_1 t}\)
half life = .693 / λ
For A
.77 = .693 / λ₁
λ₁ = .9 h⁻¹
\(e^{\lambda_2 t}\) = 5 \(e^{\lambda_1 t}\)
Putting t = 2 h , λ₁ = .9 h⁻¹
\(e^{\lambda_2\times 2}\) = 5 \(e^{.9\times 2}\)
\(e^{\lambda_2\times 2}\) = 30.25
2 x λ₂ = 3.41
λ₂ = 1.7047
Half life of B = .693 / 1.7047
= .4065 hours .
= .41 hours .
Related Questions
Stars that are not very hot but give off a lot of light are
O nebula
O main sequence stars
giants
O giants
O dwarfs
Answers
\(\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}\)
Giants.
thankshope it helps.Explanation:
giants are those stars that are not so hot but give a lot of light
One multicellular organism is a cube. Each of its sides is 3 cm long. Each of its cells is 1 cm. How many cells does it have? If each side doubles in length how many cells will it then have? Show your work below.
Answers
Answer:
W23e45rdfytg
Explanation:
Eawsredtrftgvbyhgtfrd54e
One multicellular organism is a cube. Each of its sides is 3 cm long. If each of its cells is 1 cm, then it would have 27 cells, if each side doubles its length then it would have 216 cells.
What is the matter?Anything which has mass and occupies space is known as matter , mainly there are four states of matter solid liquid gas, and plasma.
These different states of matter have different characteristics according to which they vary their volume and shape.
As given in the problem, one multicellular organism is a cube. Each of its sides is 3 cm long. Each of its cells is 1 cm.
The volume of the multicellular organism = 3 × 3× 3
= 27 cm³
The number of cells = 27 cm³ / 1 cm³
= 27
Thus, If each of its cells is 1 cm, then it would have 27 cells, if each side doubles its length then it would have 216 cells.
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Each of the different colors that make up white light has a different ___________________.
Answers
Answer:
Wavelength?
Explanation:
When the south pole of a magnet approaches this iron nail from the left, what
happens to its domains?
A. All the arrows align to point down.
OB. All the arrows align to point right.
C. All the arrows align to point up.
OD. All the arrows align to point left.
t
Answers
In order to answer the question of where the arrows of the magnetic domains point, one must consider the properties of the magnets' poles: A) The arrows line up and point upward.
What comprises a magnet?Iron or cobalt is a common component of permanent magnets. An alloy composed of aluminum is called alnico. Involves a systematic process minerals are capable of making powerful electromagnets. They are widely utilized in industrial and consumer electronics applications.
Why was magnet named?The word "lithos magnes" from classical Greek is where the name first appeared. According to Pliny's explanation in his "Naturalis Historia," the term is derived from the myth of the Greek shepherd Magnes on Mount Ida, whose iron staff and the nails in his shoes were drawn to the magnetite stones.
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Answer:
POINTS LEFT
Explanation:
just did it
a man is walking inside a bus which is travelling at 56.2 km/h.if the speed of the man relative to the ground is 55.8 km/h,is he walking towards the front or the back??
Answers
Answer:
rawr
Explanation:
HELP PLZ I will give you 10 points
An electric field of 3 × 1016 Newtons over Coulombs. is needed to create a spark in the air. If the charged particles in the field are separated by a distance of 1 mm, how many coulombs of charge are needed for a spark? (Round to the nearest whole number.)
Answers
Answer:
3
Explanation:
edge 2021
Answer:
3 is correct
Explanation:
The result of the evolutionary process that preserves traits that enhance the adaptation of an organism and suppresses traits that do not is called
Answers
Answer:
Natural selection.
Explanation:
Natural selection can be defined as a biological process in which species of living organisms having certain traits that enable them to adapt to environmental factors such as predators, competition for food, climate change, sex mates, etc., tend to survive and reproduce, as well as passing on their genes to subsequent generations.
Simply stated, natural selection entails the survival of the fittest. Therefore, the species that are able to adapt to the environment will increase in number while the ones who can't adapt will die and go into extinction.
On the other hand, artificial selection is also known as selective breeding and it is a process that involves humans (breeders) selecting the animal or plant with desirable traits in order to reproduce favorable offspring having phenotypic traits.
no i dont have one soory
Answers
Answer:
u dont have a question
Explanation:
?? bc i would gladly help u
Consider a system of two charges of magnitude 2 × 10-7 C and 4.5 × 10-7 C which is acted upon by a force of 0.1 N. What is the distance between the two charges?
Answers
To find the distance between two charges, we can use Coulomb's law, which states that the force between two charges is proportional to the product of their magnitudes and inversely proportional to the square of the distance between them.
The formula for Coulomb's law is:
F = (k * |q1| * |q2|) / r^2
where:
F is the force between the charges,
k is the electrostatic constant (k = 8.99 × 10^9 N m^2/C^2),
|q1| and |q2| are the magnitudes of the charges, and
r is the distance between the charges.
Given:
|q1| = 2 × 10^-7 C
|q2| = 4.5 × 10^-7 C
F = 0.1 N
k = 8.99 × 10^9 N m^2/C^2
We can rearrange the equation to solve for r:
r^2 = (k * |q1| * |q2|) / F
Plugging in the values:
r^2 = (8.99 × 10^9 N m^2/C^2 * 2 × 10^-7 C * 4.5 × 10^-7 C) / 0.1 N
r^2 = (8.99 × 2 × 4.5) * (10^9 * 10^-7 * 10^-7) / 0.1
r^2 = 80.91 * (10^9 * 10^-7 * 10^-7) / 0.1
r^2 = 80.91 * 10^(-7 + 9 - 1)
r^2 = 80.91 * 10^1
r^2 = 809.1
Taking the square root of both sides:
r = √809.1
r ≈ 28.46
Therefore, the distance between the two charges is approximately 28.46 units.
what exercises most beneficial for your overall health
Answers
Answer:
Endurance, or aerobic
Strength, or resistance training
Balance
Flexibility
Explanation:
Answer:
Walking. Walking is simple, yet powerful. It can help you stay trim, improve cholesterol levels, strengthen bones, keep blood pressure in check, lift your mood, and lower your risk for a number of diseases (diabetes and heart disease, for example).
How much of the day do we spend sleeping?
Answers
Answer:
roughly 8-10 hours for the average human being
Explanation:
Consider a weather balloon floating in the air. There are three forces acting on this balloon: the force of gravity is FG, the force from lift towards balloon is FL, and the force from the wind is labeled Fw. The orientation of these forces along with a coordinate system is given below:
Assume that || FG || = 20 N, || FL ||= 25 N, and || Fw ll = 15 N.
Required:
Find the magnitude of the resultant force acting on the weather balloon and round your answer to two decimal places.
Answers
Jake and Reuben are practicing for their weightlifting meet at school.
Jake applies 800 newtons of force to the barbell and lifts it above his head, Reuben also applies 800 newtons of force to the same
barbell, but he is a bit taller than Jake and has longer arms, so he lifts it farther above the ground. Which of the following statements
is true?
OA. Jake did more work
ОВ.
Neither of them did work.
C. Reuben did more work.
D
They did the same amount of work
Answers
Answer:
no Jake arm is high so the weight of an object become high due to potential energy.
so, option A is correct ) Jake did more work
Part C Now, grab Tracker’s protractor tool (the green angle in the video frame) and measure the angle of incidence and the angle of refraction for the frame numbers specified in the table below. Hints: To advance the video a frame at a time, use the step buttons on the right. Position the vertex of the protractor exactly at the origin of the coordinate axis. Move the arms of the protractor so that one arm is on the vertical axis (above or below, as appropriate) and the other on the light ray.
Answers
In order to measure the angle of incidence and the angle of refraction using Tracker's protractor tool (the green angle in the video frame), the following steps should be followed:
Step 1: Open the video in Tracker software.
Step 2: Click on the "Measure" button on the toolbar at the top of the software.
Step 3: From the dropdown menu, select "Angle".
Step 4: Click on the "protractor tool" icon (the green angle in the video frame).
Step 5: Position the vertex of the protractor exactly at the origin of the coordinate axis and move the arms of the protractor so that one arm is on the vertical axis (above or below, as appropriate) and the other on the light ray.
Step 6: Measure the angle of incidence and the angle of refraction for the frame numbers specified in the table below by using the step buttons on the right to advance the video a frame at a time.
Step 7: Record the measured angles in the table below. Note that the angle of incidence should be measured on the incident ray (the ray that is coming from the left), and the angle of refraction should be measured on the refracted ray (the ray that is coming from the right).In conclusion, by following these steps, one can measure the angle of incidence and the angle of refraction using Tracker's protractor tool.
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a) a drone flies 150 m to southwest (directly between south and west), then flies 85 m directly south, and finally flies 550 m in the direction 35 degrees north of east. Use the analytical method to find the resultant displacement of the drone (magnitude and direction)
you can help with a
Answers
The resultant of the displacement is 336.5m
What is resolution of vectors?The process of splitting a vector into its components is called resolution of the vector. The vectors are splitted into vertical and horizontal component.
For the first displacement;
The vertical component = - 150 sin45 = -106.1 m
The horizontal component = - 150 cos 45° = -106.1 m
For the second displacement;
The vertical displacement = - 85sin90 = -85
The horizontal component = 0
For the third displacement;
The vertical displacement = 550 sin55 = 450.5
The horizontal displacement = 550 cos 55 = 315.5
Sum of vertical component = 450.5-85-106.1 = 263.4
sum of horizontal component = 315.5 -106.1 = 209.4
Using Pythagorean theorem
R = √ 263.4² + 209.4²
R = √113227.92
R = 336.5m
The resultant angle = tan^-1( 263.4/209.4)
= tan^-1(1.26)
= 51.56°
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A coastal community needs to know the sustainable yield of grouper for its upcoming fishing season. Examine the sustainable yield model for grouper fish below.
A cumulative bar graph for the sustainable yield model is shown over four years. It shows the number of adult fish measured in thousands from 0 to 7 on the vertical axis. Each bar shows the sum of population and surplus for the years of reproduction. For each bar, population is constant at 2.2. For year 1, surplus is 0. For year 2, surplus is 4.4. For year 3, surplus is 1.8. For year 4, surplus is 2.8.
How many adult groupers can be sustainably caught during the fishing season in year three?
2,200
1,800
4,000
4,400
Answers
The sustainable yield of adult groupers that can be caught during the fishing season in year three is 4,000.
To determine the sustainable yield of adult groupers for the fishing season in year three, we need to consider the surplus for that year. According to the information provided, the surplus for year three is 1.8 thousand (or 1,800).
The sustainable yield represents the number of adult groupers that can be caught while maintaining the population at a stable level. In this model, the sustainable yield is equal to the sum of the population and surplus for the corresponding year.
For year three, the population is constant at 2.2 thousand, and the surplus is 1.8 thousand. Adding these values together gives us:
Sustainable Yield = Population + Surplus = 2.2 + 1.8 = 4 thousand (or 4,000)
Therefore, the sustainable yield of adult groupers that can be caught during the fishing season in year three is 4,000.
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A lift moves up and down with an acceleration of 3 metre per second square .in each case calculate the relation of the floor on each man of mass 50 kg standing on a lift.
Answers
Answer:
\(150\ N\)
Explanation:
\(We\ are\ given:\\Acceleration\ of\ the\ elevator= 3\ m/s^2\\Assumed\ mass\ of\ the\ man\ standing\ on\ it=50\ kg\\We\ know\ that,\\Force=Mass*Acceleration\\Or,\\F=ma\\Hence,\\Substituting\ m=50, a=3\ m/s^2,\\Force\ acting\ on\ the\ floor\ of\ the\ elevator=3*50=150\ Newtons\)
Objects 1 and 2 attract each other with an electrostatic force of 18.0 N. If the distance separating Objecls 1 and 2 is changed to one-half the original value (i.e., halved), then what is the new electrostatic force?
Answers
If object 1 and 2 attracts each other with an electrostatic force of 18N and is separated by some distance, Then if that distance will be halved then the electrostatic force will be = 18×4=72N.
What is coulombs' law of electrostatic?It states that" The force between two charges is directly proportional to the product of their magnitude and inversely proportional to the square of the distance between the charges and acts along the line joining the two charges."
Mathematically,
F∝q1×q2
F∝1/\(r^{2}\)
i.e
F= k \(\frac{q1 *q2}{ r^{2} }\)
Where q1, q2= magnitude of the charge in C.
and r = the distance between them in m.
k= constant of proportionality.
Question given data,
F1=18N
let r=x (say)
then F1=18=k \(\frac{q1 *q2}{ x^{2} }\).....................(1)
if r is halved i.e r=x/2
now new force
F2=k\(\frac{q1 *q2}{ (x/2)^{2} }\)
F2=4×k\(\frac{q1 *q2}{ x^{2} }\)
F2=4×F1....................(∵F1=k \(\frac{q1 *q2}{ x^{2} }\))
=4×18..............................(∵F1=18)
F2=72N
Hence The force between two charged particles when the distance between them is halved is 72N.
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What is the reason for the widespread use of fins on surfaces? Group of answer choices Decreasing the rate of heat transfer from a surface by increasing the heat transfer surface area Decreasing the rate of heat transfer from a surface by decreasing the heat transfer surface area Increasing the rate of heat transfer from a surface by decreasing the heat transfer surface area Increasing the rate of heat transfer from a surface by increasing the heat transfer surface area
Answers
Answer:
ask your member
Explanation:
kayo lang din makakasagot nyan
A baby carriage is sitting at the top of a hill that is 21 m high. The carriage with the baby weighs 20
kg. The carriage has
energy. Calculate it
Answers
Answer:
Energy in carriage (Potential energy) = 4,116 J
Explanation:
Given:
Mass of baby = 20 kg
Height = 21 m
Find:
Energy in carriage (Potential energy)
Computation:
The energy accumulated in an object as a result of its location relative to a neutral level is known as potential energy.
In carriage accumulated energy is potential energy.
Energy in carriage (Potential energy) = mgh
Energy in carriage (Potential energy) = (20)(9.8)(21)
Energy in carriage (Potential energy) = 4,116 J
why cant we always see the stars that are all around us
Answers
Mass- 1.50 kg. Angle- 34.4. Coefficient of friction 0.350. find net force and acceleration. Use degrees not radians
Answers
The gravitational force has an acceleration of 14.
What is gravity?Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. It is by far the weakest known force in nature and thus plays no role in determining the internal properties of everyday matter. On the other hand, through its long reach and universal action, it controls the trajectories of bodies in the solar system and elsewhere in the universe and the structures and evolution of stars, galaxies, and the whole cosmos. On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth’s mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects. At Earth’s surface the acceleration of gravity is about 9.8 metres (32 feet) per second per second. Thus, for every second an object is in free fall, its speed increases by about 9.8 metres per second. At the surface of the Moon the acceleration of a freely falling body is about 1.6 metres per second per second.To learn more about acceleration refer to:
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the weight of an object is measured in air to be 7N the object is then immersed in water and its apparent weight is measured to be 4N determined the buoyant force and state whether or not the object float
Answers
The buoyant force can be determined by subtracting the apparent weight of the object in water from its weight in air. In this case, the buoyant force would be 7N - 4N = 3N.
Based on the information provided, since the buoyant force (3N) is less than the weight of the object (7N), the object will not float.
Floating occurs when the buoyant force is greater than or equal to the weight of the object.
In this scenario, the object will experience a net downward force, indicating that it will sink rather than float in water.
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2. The following diagram shows a metal ball and ring apparatus. The ring and ball are both made of brass. At room temperature, the ball is just the right size to pass through the ring. When the ball is heated, it is unable to pass through the ring. Which of the following is NOT true? A The volume of the ball increased. B The mass of the ball increased. C. The speed at which the particles move increased. D The spaces between the particles increased. Not True
Answers
The statement that is NOT true is "the spaces between the particles increased.
option D.
What is effect of temperature on volume?If we consider the solids and liquids, when the temperature increases the molecules gain energy and start moving in all directions. This expands the substance and the volume of the substance increases.
Similar, when the ball is heated, the volume of the ball increases due to thermal expansion.
As the temperature increases, the average kinetic energy of the particles within the ball also increases, causing them to move faster.
However, the spaces between the particles do not necessarily increase. In fact, the expansion of the ball occurs due to the particles themselves moving farther apart, but the intermolecular spacing within the ball remains relatively constant.
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the asteroid belt is group of answer choices a new fashion accessory being sold by nasa to raise funds for future missions a series of orbital zones around the moon, from which fragments drop down to form craters a region of icy chunks of material beyond the orbit of pluto a zone where rocky chunks orbit between mars and jupiter is a region around the earth from which meteors (shooting stars) are observed to drop
Answers
A region where rocky chunks orbit between Mars and Jupiter.
The asteroid belt is a region located between the orbits of Mars and Jupiter where many small, rocky objects (asteroids) orbit the sun. Here are some key points about the asteroid belt:
Composition: The asteroids in the belt are made of rock and metal, and range in size from small pebbles to objects hundreds of kilometers in diameter.Formation: The asteroid belt is believed to have formed from leftover material from the early solar system that never coalesced into a planet.Number of objects: There are estimated to be millions of asteroids in the belt, with thousands that have been studied and cataloged by astronomers.Importance for scientific study: Studying the asteroids in the belt can give us insight into the formation and evolution of the early solar system. Additionally, some asteroids contain valuable minerals that could be mined in the future.Hazards: While the asteroid belt is far from Earth and poses no immediate threat, collisions between asteroids can sometimes send fragments on a collision course with our planet. This is why it is important to continue to study and monitor the objects in the asteroid belt.Learn more about asteroid belt here:
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You want to average 90 km/h on a car trip. You cover the first half of the distance at an
average speed of 48 km/h.
a) What average speed must you have for the second half of the trip to meet your goal?
b) Is this reasonable? Note that the velocities are based on half the distance, not half the
time.
Answers
(a) The average speed must you have for the second half of the trip to meet your goal is 8 km/h.
(b) The value obtained (8 km/h) is not reasonable for the second half of the distance since the first half is 48km/h.
What is average velocity?
Average velocity is defined as the change in position or displacement (∆x) divided by the time intervals (∆t) in which the displacement occurs.
average velocity = total distance / total time
v = (d)/(0.5d/v₁ + 0.5d/v₂)
where;
v is the average velocityv₁ is the average velocity during the first halfv₂ is the average velocity during the second half90 km/h = (d) / (0.5d/48 + 0.5d/v₂)
90(0.5d/48 + 0.5d/v₂) = d
0.9375d + 0.5d/v₂ = d
d(0.9375 + 0.5/v₂) = d
0.9375 + 0.5/v₂ = 1
0.5/v₂ = 0.0625
v₂ = 0.5/0.0625
v₂ = 8 km/h
Thus, the average speed must you have for the second half of the trip to meet your goal is 8 km/h.
The value obtained (8 km/h) is not reasonable for the second half of the distance since the first half is 48km/h.
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Name the type of component through which current only flows in one direction.
Answers
17 points
A cannon fires a cannonball as shown in the diagram. Calculate the
velocity of the cannonball. *
M=500 kg
V=-3 m/s
m=10kg
v=?
A. 0.06 m/s
B. 150 m/s
C. 300 m/s
D. 1667 m/s
Answers
The velocity of the cannonball is 150 m/s, the right option is B. 150 m/s.
The question can be solved, using Newton's second law of motion.
Note: Momentum of the cannon = momentum of the cannonball.
Formula:MV = mv................. Equation 1Where:M = mass of the cannonm = mass of the cannonballV = velocity of the cannonv = velocity of the cannonballMake v the subject of the equation.
v = MV/m................ Equation 2From the question,
Given: M = 500 kgV = 3 m/sm = 10 kg.Substitute these values into equation 2.
v = (500×3)/10v = 150 m/s.
Hence, The velocity of the cannonball is 150 m/s, the right option is B. 150 m/s.
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You have to lift a 15 kg object. What is your output force?
Using a lever, you push down 20 N to lift a 10 kg object.
A) Find the output force.
B) What is the input force?
C) How much does the ramp multiply your force?
You push with 10 N up a ramp to move a 40 N object to the top
of a table. By how much does the ramp multiply your force?
Answers
Answer:
Explanation:
A) The output force required to lift a 15 kg object would be equal to the weight of the object, which is given by:
Output force = Weight of object = m * g
where m is the mass of the object and g is the acceleration due to gravity. Assuming that g is equal to 9.81 m/s^2, we have:
Output force = 15 kg * 9.81 m/s^2 = 147.15 N
Therefore, the output force required to lift a 15 kg object would be 147.15 N.
B) In this case, the input force is the force that you are pushing down with the lever, which is given as 20 N.
C) The mechanical advantage of the ramp is given by the ratio of the output force to the input force. In this case, the output force is the weight of the object (40 N) and the input force is the force that you are pushing with (10 N). Therefore, the mechanical advantage of the ramp would be:
Mechanical advantage = Output force / Input force = 40 N / 10 N = 4
So, the ramp multiplies your force by a factor of 4.
Note that in all of these calculations, we have assumed that the system is ideal and that there are no losses due to friction or other factors. In practice, these losses will reduce the mechanical advantage of the system and make it more difficult to lift or move objects.
A wheel of mass 23.0 kg and radius 4.0 m is rotating at 3.4 rad/s. Find the rotational kinetic energy of the wheel. (1 wheel = MR^2)
Answers
Answer:
2127.04 J
Explanation:
Rotational kinetic energy can be calculated using the formula;
E(rotational) = 1/2 × I × ω²
Where;
I = moment of inertia
ω = angular velocity
However, the moment of inertia (I) can be calculated using the expression:
I = mr²
Where;
m = mass
r = radius/distance from axis of rotation
According to the provided information, r = 4m, ω = 3.4 rad/s, m = 23kg
I = mr²
I = 23 × 4²
I = 23 × 16
I = 368kg/m²
Hence, if I = 368kg/m², rotational kinetic energy will be:
K = 1/2 × I × ω²
K = 1/2 × 368 × 3.4²
K = 184 × 11.56
K = 2127.04 J