The maximum angle O that the string makes with the vertical is 30 ⁰.
What is the maximum angle of the string?The maximum angle O that the string makes with the vertical is calculated by applying the following kinematic equation.
Mathematically, the trigonometry equation is given as;
sin θ = r / L
where;
r is the radius of the circular stringL is the length of the stringThe given parameters include the following;
the radius of the circular string (assumed) , r = 0.5 m
the length of the string, L = 1 m
Substitute the given parameters and solve for the maximum angle of the string as shown below.
sin θ = r / L
sin θ = (0.5 m) / (1 m)
sin θ = 0.5
θ = arc sin (0.5)
θ = 30 ⁰
Learn more about maximum angle here: https://brainly.com/question/26870667
#SPJ1
What are some of the differences between a gravitational force and a magnetic force?
at least 5 details
Answer:
Some of the differences between a gravitational force and a magnetic force are:
Gravitational force is a type of attractive force that exists between two objects with mass, while magnetic force is a type of force that exists between two objects with a magnetic field.Gravitational force is always attractive, meaning that it pulls two objects towards each other, while magnetic force can be attractive or repulsive, depending on the direction of the magnetic fields.Gravitational force is proportional to the mass of the objects, while magnetic force is proportional to the magnitude of the magnetic field.Gravitational force is weaker than magnetic force, as it decreases with distance more quickly.Gravitational force is affected by the distance between the objects, while magnetic force is affected by the angle between the magnetic fields.Overall, gravitational force and magnetic force are two different types of forces that have different properties and behave differently in different situations.
find the distance if Jerry runs at speed 8 km/hr in 2.5 hours
The distance will be 20km.
Like any other equation, the formula speed = distance time can be changed.
There are three possible arrangements for the formula:
Distance is determined by speed and time.
Time = Speed x Distance
Speed given = 8km/Hr
Time = 2.5 hours
Distance = Speed * Time
= 8 * 2.5
= 20 km
To know more about speed:
https://brainly.com/question/13943409
Answer:
12.4274 miles or 20 kilometers
Explanation:
[tex]distance = time[/tex] × [tex]speed[/tex]
distance = 2.5hr × 8 kph
2.5 × 8 = 20 Note: this is if we solve with kilometers.
Let's solve with miles now.
Let's convert kph to mph.
Let's solve for mph, in this case, mph will be x, and y will be kph.
x = y ÷ 1.609344
x = 8 kph ÷ 1.609344
8 kph ÷ 1.609344 = 4.97097 mph
x = 4.97097 mph
Now, x will be distance. y will be time and z will be speed.
Let's solve for x:
x = y × z
y = 2.5
z = 4.97097
x = 2.5 × 4.97097
4.97097 × 2.5 = 12.4274
x = mph
x = 12.4274
x = 12.4274 mph
miles = hours × mph
12.4274 = 2.5 × 4.97097 = x
x = mph
x = 12.4274
x = 12.4274 mph
Hence, the right answer is 12.4274 miles or 20 kilometers.
To learn more about speed:
brainly.com/question/13943409
Correct me if I'm wrong :(
Happy to help!
If the speed of sound during a thunderstorm is 330 m/s, how long does it take for the sound of thunder to travel 1485 m?
Answer:
4.5s
Explanation:
The time taken by thunderstorm = distance traveled /speed of the sound
=1485 meters /330 meters/seconds
=4.5 seconds
Thus, it would take 4.5 seconds
Hope it helps!
in CT Scan Machine the source of X-Ray is rotated around the person why
Answer:
As the patient passes through the CT imaging system, a source of x rays rotates around the inside of the circular opening. A single rotation takes about 1 second. The x-ray source produces a narrow, fan-shaped beam of x rays used to, irradiate a section of the patient's body.
The patient table is continually pushed through the gantry's hole as the x-ray tube revolves around the patient. This enables the acquisition of a continuous set of attenuation data in a helical or spiral manner; as a result, this generation of scanner is known as a helical/spiral scanner.
What is CT Scan Machine?A narrow x-ray beam is quickly spun around a patient's body during a procedure known as "computed tomography," or CT. This produces signals that are then analyzed by the machine's computer to create cross-sectional images, or "slices," of the patient's body.
These sections, which are known as tomographic pictures, can provide a clinician with more specific information than traditional x-rays. A three-dimensional (3D) image of the patient can be created once a number of successive slices have been collected by the machine's computer. This makes it easier to identify the patient's basic anatomy as well as any potential tumors or anomalies.
Learn more about CT Scan here:
https://brainly.com/question/1524856
#SPJ2
%/450
O
7. A hollow plastic ball is projected into the air.
There is significant air resistance opposing the
ball's motion, so the magnitude of the ball's
acceleration is not equal to g. At time t, the ball is
moving up and to the right at an angle of 45° to
the horizontal, as shown above. Which of the
following best shows the magnitude a and the
direction of the ball's acceleration at time !?
9..
9...
quez
(A)
(B)
(C)
(D) O
THE CO 2012
Answer:
450%
Explanation:
the earth completes its rotation around the sun each year, with an average distance of 1.5 x 1011m. use this information to calculate the mass of the sun.
The mass of the sun is 2×10³⁰kg.
What does mass of the Sun mean?The solar mass (M) is a commonly used measurement of mass in astronomy and is roughly 2×10³⁰kg. It is frequently used to denote the masses of other stars, stellar clusters, nebulae, galaxies, and black holes, among other objects. Its mass is roughly equal to that of the Sun.
Average distance of sun is 1.5 x 10¹¹m
The amount of time it takes for the Earth to make one rotation around the Sun,
T = 1year = 365.25days
T = 365.25×24×60×60s
Gravitational constant, G = 6.67×10⁻¹¹Nm²kg⁻²
Thus, mass of the Sun,
M = 4πr²r³/GT²
M = 4×3.14²× (1.5 x 10¹¹)³/ 6.67×10⁻¹¹(365.25×24×60×60s)²
M = 2×10³⁰kg.
To know more a bout mass visit:
https://brainly.com/question/18064917
#SPJ4
A 3.0 kg object is moving in a circular path with a speed of 4.5 meters per second. If the radius of the circle is 0.25 meters, what is the force acting on the object?
The force acting on the 3.0 kg object is moving in a circular path with a speed of 4.5 meters per second is 243N.
How to calculate centripetal force?Centripetal force is the force on a rotating or orbiting body in the direction of the centre of rotation.
The centripetal force acting on an object can be calculated by using the following formula:
F = mv²/r
Where;
F = centripetal forcem = massv = velocityr = radiusAccording to this question, a 3.0 kg object is moving in a circular path with a speed of 4.5 meters per second. If the radius of the circle is 0.25 meters, the centripetal force is calculated as follows:
F = 3.0kg × 4.5²/0.25
F = 60.75/0.25
F = 243N
Therefore, 243N is the force acting on the object.
Learn more about force at: https://brainly.com/question/11324711
#SPJ1
help pls
An observer moves to the left with some velocity, v, at the same time a sound wave source moves to the left with twice the velocity of the observer. How will the frequency of the source be shifted as it passes the observer?
The observed frequency will be greater than the source’s frequency.
The observed frequency will be less than the source’s frequency.
The observed frequency will be the same as the source’s frequency.
The source never passes the observer.
The observed frequency will be greater than the source’s frequency (option - A) is correct answer.
What happens if both the observer and the sound source move?If the source and observer are moving simultaneously in either case—moving observer or moving source—you'll notice that the frequency increases. The frequency decreases if they are drifting apart. Whether the source is moving or the observer is moving will affect how much the frequency changes.
Although the waves move at the same speed, the frequency that is observed is affected by any relative movement between the source and the observer. The wavelength changes along with the observed frequency. When an observer and a source are moving in the same direction, the frequency rises and the wavelength falls.
To know more about frequency visit:
brainly.com/question/15489705
#SPJ1
Does water boil at or over 100°C. At normal pressure. And i mean excatly 100°C not 100,00000000000000000000000000000000000000001°C.
Water boils at exactly 100°C (212°F) at normal atmospheric pressure. This is known as the boiling point of water, and it is the temperature at which water transitions from a liquid to a gas (steam) at normal atmospheric pressure. The boiling point of a substance is the temperature at which the vapor pressure of the liquid is equal to the atmospheric pressure, and for water, this occurs at 100°C. The boiling point of water can vary depending on factors such as the altitude and the atmospheric pressure, but at sea level and at normal atmospheric pressure, water boils at exactly 100°C.
the galactic distances used to measure the acceleration of the uni- verse are determined by observations of
The studies of bursting white dwarfs are used to calculate the galactic distances that are used to quantify the expansion of the universe.
What use does acceleration serve?The ability to accelerate shows how rapidly an athlete can change their velocity after setting off at rest over a particular amount of time and over a certain distance. It is an essential ability for sprinting as well as other ball games.
What causes a speedup?An object's motion is altered by a net force; the larger this net force, the more acceleration there is. To speed at the same speed as less massive objects, higher net forces are needed.
To know more about Acceleration visit:
https://brainly.com/question/3046924
#SPJ4
The complete question is-
The galactic distances used to measure the acceleration of the universe are determined by observations of
a) trigonometric parallax
b) line broadening
c) Cepheid variable stars
d) exploding white dwarfs
Two animals that can be found at the Grand Canyon include the Abert's and Kaibab squirrels. The Abert's squirrel is
found at the south rim of the canyon and in a few surrounding states. The Kaibab squirrel, however, can only be found
at the canyon's north rim, mainly on the Kaibab Plateau. The Kaibab squirrel is not found anywhere else in the world.
Scientists believe that the squirrels are actually closely related and have developed separately as a result of
geographic isolation. It is possible that the squirrels were separated by plateau erosion that separated the forests and
isolated the Kaibab population. Some scientists are studying if the squirrels are now two separate species or if the
Kaibab squirrel is simply a subspecies of the Abert's squirrel. Separate species are unable to reproduce with each
other.
Which evidence would be used to support the claim that the squirrels are two separate species?
A.) The Abert's squirrel is found at the south rim of the canyon, but the Kaibab squirrel is found at the north rim of the
canyon.
B.) Geologists prove that plateau erosion is the main cause of forest separation in the region.
C.) Scientists observe that Abert's squirrels are slightly larger and have bushier tails than Kaibab squirrels do.
D.) When placed together in pairs for study, no pair of Abert's squirrel and Kaibab squirrel result in offspring.
The evidence that would be used to support the claim that the squirrels are two separate species is that when placed together in pairs for study, no pair of Abert's squirrel and Kaibab squirrel result in offspring which is therefore denoted as option D.
What is a Species?This is referred to as a group of organisms that can reproduce with one another in nature and produce fertile offspring.
In this scenario we were told that Abert's squirrel and Kaibab squirrel may be separate species and the evidence which will support that is that no pair of Abert's squirrel and Kaibab squirrel result in offspring.
Read more about Species here https://brainly.com/question/985104
#SPJ1
place in order from earliest to latest the following steps that lead some low-mass stars in binary systems to become novae or supernovae.
Protostar, main-sequence star, red giant, planetary nebula, white dwarf. When a white dwarf takes gas from a star nearby, a nova is the result. A star that contains too much mass explodes and forms a supernova.
What conditions must be met for a supernova?A star needs to be between eight and fifteen solar masses (opens in new tab) in mass in order for it to explode as a Type II supernova. It will eventually run out of fuel at its core, first hydrogen and then helium, just like the sun. The pressure and mass will be sufficient to fuse carbon, though.
Which star has the highest chance of going supernova?Betelgeuse and Antares are the closest stars that are most likely to go supernova in the next few million years. Both are much farther away—more than 400 light years—than the 30 light-year threshold at which the explosion might become dangerous. Eta Carinae, an extremely large star that can be seen in the southern hemisphere, may die even sooner.
Learn more about stars on:
https://brainly.com/question/7379319
#SPJ4
why does overexposure to uv light often result in sunburn when overexposure to visible light does not? this is why you can get burnt even on a cloudy day.
The overexposure to UV light often result in sunburn but the overexposure to visible light doesn't result in the same because UV light can pass through all the layers of the Earth and have drastic effects on the human body.
A sunburn is caused by ultraviolet rays. For ultraviolet rays, clouds are semi transparent, so we can get sunburn even on a cloudy day. However, glass is opaque to UV rays. The rays cannot reach them and so we are protected from sunburn.
UV rays are carcinogenic in nature, it is a form of non-ionizing radiation that is emitted by the sun and artificial sources, such as tanning beds. While it has some benefits for people, including the creation of Vitamin D, it also can cause health risks.
To know more about Ultra Violet Rays:
https://brainly.com/question/6852041
#SPJ4
Describe the relationship between the average atomic mass
and the percent composition of isotopes found in nature.
The relationship between the average atomic mass and the percent composition of isotopes found in nature be: an element's average atomic mass is calculated by adding the masses of its isotopes and multiplying each percentage result by the element's natural abundance.
What is average atomic mass?The average mass of an element's isotopes, calculated based on their mass number and proportion of abundance in nature, is known as the element's average atomic mass.
The average atomic mass of chlorine is 35.5, for instance.
The formula for average atomic mass is:
Average atomic mass = [(percentage) mass number a isotope + (percent)mass number of other isotope + ...]÷100
Here, percentage refers to the proportion of an element's first naturally occurring isotope that is abundant.
Learn more about average atomic mass here:
https://brainly.com/question/13705508
#SPJ1
The 2023 ariya regenerative braking system recovers kinetic energy from the drive wheels and converts it into electrical energy to recharge the battery when ________.
The 2023 regenerative braking system recovers kinetic energy from the drive wheels and converts it into electrical energy to recharge the battery when the driver applies the brakes and the vehicle is coasting.
What is a regenerative braking system?A regenerative braking system is an energy recovery device aimed at maximizing the range while slowing the velocity of the vehicle via the transformation of the kinetic energy into another type of energy.
Therefore, with this data, we can see that a regenerative braking system is aimed at slowing the velocity by converting kinetic energy.
Learn more about regenerative braking systems here:
https://brainly.com/question/27799529
#SPJ1
Explain the difference between balanced and unbalanced forces, and how they affect the motion of an object, include what the neIforce always is for balanced forces
When the balance of the forces acting on the object you are acting on results in no changes in motion. Unbalanced forces have an influence on the item that are acting on and do not cancel one another out.
What occurs in an unbalanced force?Two things cause this. An object will move if an imbalanced pressure pushes or pulls on it while it is at rest. Forces acting can also cause an item in motion to shift its speed or direction.
Why do forces with an unbalance move?Because of unequal power or strength delivered to one side of an item, an imbalanced force results in a shift in motion, pace, direction, or movements. There are forces working against the other side.
To know more about unbalanced forces visit:
https://brainly.com/question/760473
#SPJ4
The total number of oxygen atoms indicated by the formula Fe2(CO3)3 is
a. 3
b. 6
c. 9
d. 12
e. 18
Answer:
C
Explanation:
There are '3' CO3' S 3 x 3 = 9 oXYGEN ATOMS
The total number of oxygen atoms indicated by the formula Fe₂(CO₃)₃ is 9. Hence, option (c) is correct.
What is chemical formula?A chemical formula is a way to describe the chemical ratios of the atoms that make up a specific chemical compound or molecule in chemistry. Chemical element symbols, numbers, and occasionally other symbols, such as parentheses, dashes, brackets, commas, and plus (+) and minus (-) signs, are used to represent the chemical elements.
These can only include one typographic line of symbols, which may also include subscripts and superscripts. A chemical formula has no words and is not the same as the chemical name.
Given chemical formula is: Fe₂(CO₃)₃.
The total number of oxygen atoms in the formula = 3×3 = 9.
Hence option (c) is correct.
Learn more about chemical formula here:
https://brainly.com/question/11995171
#SPJ2
20V Calculate: Total resistance from the given diagram. Fig:(a) 4W 12v 6W Fig:(b) 6W 6W 12v
Answer:
please help
Explanation:
What is the elastic potential energy of a rubber band with a spring constant of 25.0 N/m if it is stretched by 10.0 cm from its original length?
Answer: 1,250 joules
Explanation: elastic potential energy is half of the spring constant multipied by extention squared so its 12.5 multiplied by 100 which is 1,250
what is the length of a pendulum whose period on the moon matches the period of a 2.8- m -long pendulum on the earth?
The length of a pendulum whose period on the moon matches the period of a 2.8 m long pendulum on the earth is 0.462 m.
The time taken for completing one cycle of oscillation is called the period of a pendulum. The factors affecting the period of a pendulum are the length of the pendulum and the gravity of the surface of the heavenly body. It never depends on the mass of the pendulum.
The period of a pendulum is given by the formula.
[tex]T=2\pi \sqrt{l/g[/tex]
Where
T= Time period
l= length of a pendulum
g= acceleration due to gravity of surface.
For the 2.8 m long pendulum on the earth,
[tex]T=2\pi \sqrt{2.8/9.8[/tex]
For the pendulum of length l on moon,
[tex]T=2\pi \sqrt{l/1.62[/tex]
The value of surface gravity g on moon is 1.62 [tex]m/s^{2}[/tex].
According to the question,
[tex]2\pi \sqrt{2.8/9.8[/tex]=[tex]2\pi \sqrt{l/1.62[/tex]
So, l=2.8/9.8×1.62
l= 0.462 m
So, the length of such pendulum is 0.462 m.
To know more about the period here
brainly.com/question/23275508
#SPJ4
PLEASE help! I am so desperate LOL
1: A 75.0 kg astronaut is training for accelerations that he will experience upon reentry. He is placed in a centrifuge (r = 20.0 m) and spun at a constant angular velocity of 15.0 rpm (revolutions per minute). He is then slowed and brought to a stop in 2.0 minutes.
(1a) Find the magnitude and direction of the centripetal acceleration and force when he is spinning at constant angular velocity.
(2a) How many g’s is the astronaut experiencing when moving at constant angular velocity?
(3a) Find the torque that is needed to bring the centrifuge to a stop knowing the centrifuge has a mass of 5500.0 kg (ignore all other forces) and the force is applied at the edge of the centrifuge (20.0 m radius). Hint: torque is based on the change of linear velocity.
2: An astronaut lands on an alien planet. He places a pendulum (L = 0.200 m) on the surface and sets it in simple harmonic motion, as shown in this graph.
(2a) What is the period and frequency of the pendulum’s motion?
(2b) How many seconds out of phase with the displacements shown would graphs of the velocity and acceleration be?
(2c) What is the acceleration due to gravity on the surface of the planet in m/s2? Determine the number of g-forces.
Answer: (1a) The magnitude of the centripetal acceleration is 31.4 m/s^2, and the direction is towards the center of the circular motion.
(2a) The astronaut is experiencing 31.4 m/s^2 / 9.8 m/s^2 = 3.22 g's.
(3a) The torque needed to bring the centrifuge to a stop is (5500.0 kg * 31.4 m/s^2 * 20.0 m) = 3,420,000 N * m.
2:
(2a) The period of the pendulum's motion is 0.20 m / 0.10 m/s = 2.0 seconds, and the frequency is 1 / 2.0 s = 0.50 Hz.
(2b) The graphs of velocity and acceleration would be 0.5 seconds out of phase with the displacements shown.
(2c) The acceleration due to gravity on the surface of the planet is 0.10 m/s^2 / 9.8 m/s^2 = 1.02 g's.
Explanation:
a 5.00-m-long ladder, weighing 200 n, rests against a smooth vertical wall with its base on a horizontal rough floor, a distance of 1.20 m away from the wall. the center of mass of the ladder is 2.50 m from its base, and the coefficient of static friction between the ladder and the floor is 0.200. how far up the ladder, measured along the ladder, can a 600-n person climb before the ladder begins to slip?
Answer: 0.488 m
Explanation: I have my ways ;>
A plant disease infected a field of wild blackberries. The first year many of the plants died from the disease. The next year fewer plants died. The third year, almost none of the plants died of the disease.
Why did fewer plant die from the disease each year?
The plant species that were resistant to the disease lived and reproduced. Therefore, option (D) is correct.
What is plant pathology?Plant pathology can be described as the scientific study of diseases in plants caused by pathogens and environmental conditions. Organisms that cause infectious diseases such as fungi, oomycetes, bacteria, viruses, viroids, phytoplasmas, protozoa, nematodes, and parasitic plants.
Plant pathology involves the study of pathogen identification, disease cycles, disease etiology, economic impact, plant disease epidemiology, plant disease resistance, how plant diseases influence humans and animals, genetics, and management of plant diseases.
Over time plants become more resistant to diseases. Therefore, fewer plants die from the disease each year.
Learn more about plant diseases, here:
https://brainly.com/question/26512519
#SPJ1
Your question is incomplete, most probably the complete question was,
A plant disease infected a field of wild blackberries. In the first year, many of the plants died from the disease. The next year fewer plants died. In the third year, almost none of the plants died of the disease.
Why did fewer plants die from the disease each year?
A. Over time, the species became less resistant to the disease.
B. All of the plants in the species were resistant to the disease.
C. None of the plants in the species were resistant to the disease.
D. Plants that were resistant to the disease lived and reproduced.
WILL GIVE BRAINLIEST.
Objects 1 and 2 attract each other with a gravitational force of 18.0 units. If the distance separating Objects 1 and 2 is doubled, then the new gravitational force will be ____ units.
If the distance separating Objects 1 and 2 is doubled, then the new gravitational force will be 72.0 units.
What is Gravitational force?The force of attraction that operates on all matter is known as gravity, or gravitational force in mechanics. It is by far the weakest known force in nature and plays no role in determining the internal properties of everyday matter. It controls the orbits of objects in places, the structure, and the evolution of stars, galaxies, and the universe as a whole.
On Earth, every object has a weight, or downward gravitational force, proportional to its mass, and the mass of the Earth acts on them. The acceleration that gravity causes in a falling item serves as a gauge of its strength. The acceleration of gravity at the Earth's surface is around 9.8 meters per second (32 feet) per second. For each second her body is in free fall, its velocity increases by about 9.8 meters per second. On the moon, the acceleration of a free-falling object is approximately 1.6 meters per second.
The gravitational force among two objects can be written as:
F = G×m₁×m₂/r²
Where G is the gravitational constant, m₁ and m₂ are the masses of both objects and r is the distance between them.
Now, we have that F = 18 .0 units.
Let's change r to 2r, the new force is:
F' = G×m₁×m₂/(2r)²
F' = G×m₁×m₂/4r²
F'/F = (G×m₁×m₂/4r²)/G×m₁×m₂/r²
F' = 4 F
F' = 4 × 18.0
F' = 72 units
To know more about gravitational force, click-
https://brainly.com/question/24783651
#SPJ1
sorry for foreign language, i will still post the photo for visual aid; h=60 cm is the initial height of the m2 body and the bodies go from rest. the values and system drawing are in the photo. i need a) solved and it asks "the speed of the bodies when the body m2 reaches the ground"
please ask question about the problem if you don't understand, i might have explained it non eloquently
Answer:
The speed of the bodies will be 2.27 m/s
Explanation:
The picture bellow is the solution of the task, but I will give additional clarification here in case that the steps are not clear enough.
First, we want to calculate the acceleration of the whole system. To do that, we'll need to divide the net force (total force) by total mass. In my diagram, I've drawn all the forces which act on the body, but only those forces which I've circled in blue are relevant since all the other forces cancel each other out. The relevant forces are: force due to gravitational acceleration (g) on m2, component of the force due to g acting in the direction parallel to the plane, and the force of friction which always opposes the motion (aka acts in the opposite direction from the direction in which the body is moving; in this case down the plane). Since m2 pulls m1 up the plane, that will be our positive direction, so m2*g will be positive and other two forces will be negative. Putting all the data into the formula, we get the acceleration a ≈ 4.36 m/s².
Next step is calculating the time m2 takes to reach the ground. We use formula: [tex]s=ut+\frac{1}{2} at^{2}[/tex] ut will be 0 since the system was initially at rest. When we rearange the formula and put in the values we get that the time t ≈ 0.52 s.
Finally, we get the velocity by multiplying time taken to reach the ground by the acceleration of the system.
If 42 J of chemical energy in a battery places 7.0 C of negative charge at the negative terminal,
leaving a deficit at the positive terminal, what is the potential difference between the negative and
positive terminals of the battery?
The battery's negative and positive terminals have a 6J/C potential difference. This depicts a separation between a positive charge and a negative charge.
Calculation:
W = qV
W/q = V
42/7 = V
V = 6J/C
How much potential energy does a 12 V battery with a 2 C charge have?For every 1 Coulomb of charge that passes between a 12 volt battery's negative and positive terminals, 12 Joules of electric potential energy are produced. Charge to potential energy change changes in a 12:1 ratio. The difference in potential energy for two Coulombs of charge would therefore be 24 Joules.
What is the formula for terminal potential difference?The cell is charged by current I that comes from another source. In this situation, the terminal potential difference is Ir times bigger than the emf, hence V=E+Ir.
To know more about potential difference visit:-
https://brainly.com/question/12198573
#SPJ1
An element with a mass of 580 grams decays by 27. 9% per minute. To the nearest tenth of a minute, how long will it be until there are 60 grams of the element remaining?.
6.94 mins time will it be until there are 60 grams of the element remaining.
What does it mean to decay in physics?An unstable nucleus will spontaneously lose energy through radioactive decay by releasing ionizing radiation and particles. An atom of one kind, known as the parent nuclide, changes into an atom of a different type, known as the daughter nuclide, as a result of this decay, or loss of energy.By severing connections, compounds can be broken down into smaller compounds or their underlying elements. Some substances break down when heated or exposed to sunshine. For instance, heating calcium carbonate (lime stone) causes it to break down into calcium oxide (quick lime) and carbon dioxide.A compound decay formula ,F = P [tex]( 1 - r )^{t}[/tex]Given data :
F is the future amount (we want it to be 60)
P is the present amount (580 now)
r is the rate of decay per minute (27.9% = 27.9/100 = 0.279)
t is the time it takes (what we want to find)
Substituting, we get our answer to be:
F = P [tex]( 1 - r )^{t}[/tex]
60 = 580 [tex]( 1 - 0.279 )^{t}[/tex]
60 = 580 [tex](0.721)^{t}[/tex]
0.1034 = [tex]0.721^{t}[/tex]
Ln ( 0.1034) = Ln [tex](0.721^{t} )[/tex]
Ln ( 0.1034) = t x ( 0.721)
t = [tex]\frac{Ln(0.1034)}{Ln(0.721)}[/tex] = 6.94
So, it is going to take about 6.94mins, rounded to nearest tenth (1 decimal), we have: About 6.94mins
Learn more about compound decay refer to :
https://brainly.com/question/29004532
#SPJ1
Katrina pushes off a flat sidewalk on her skateboard. (Friction is present) What statement best decribes the relationship between the work done by Katrina and the kinetic energy ?
A.The relationship between the work and kinetic energy cannot be determined with the provided information .
B. The amount of work Katrina does on herself and the skateboard is equal to the kinetic energy held by her and the skateboard.
C. The amount of work Katrina does on herself and the skateboard will be greater than the kinetic energy held by her and the skateboard.
D. The amount of work Katrina does on herself and the skateboard will be less than the kinetic energy held by her and the skateboard
The amount of work Katrina does on herself and the skateboard is equal to the kinetic energy held by her and the skateboard.
What is the work done?We know that work is said to be done when the force that is applied moves a distance in the direction of the force. In this case we can see that Katrina pushes off a flat sidewalk on her skateboard.
We also know that the energy that is possessed by a body that is in motion is the kinetic energy of the object. We can see that immediately that Katrina pushes off a flat sidewalk on her skateboard, she is already moving and this would mean that she does have a kinetic energy in the context of our discussion here.
With the knowledge that the work and the energy are equivalent terms it is clear that the kinetic energy would equal the work done.
Learn more about kinetic energy:https://brainly.com/question/15764612
#SPJ1
Please help me with this question, many thanks
When F1 and F2 are given , then acceleration vector, a(x, y) is calculated as = (-1,5) m/s².
What do you understand by force?In science, 'force' has a precise meaning and we can say that a force is a push or a pull. A force is exerted on an object by another object.
Newton's 2nd Law is given by:
F = m*a
Where F is a vector and mass is scalar therefore, acceleration is also a vector. As Vector/Scalar = Vector.
Now, F1 + F2 = F(net)
So, (3-5, 4+6) = (x1+x2, y1+y2)
F(net) = (-2, 10)
F(net) = m*a
Then, acceleration = F(net) /m
= (-2/2, 10/2) = (-1, 5)
Acceleration vector, a(x, y) = (-1,5) m/s².
To know more about force, refer
https://brainly.com/question/12970081
#SPJ1
What is quantum tunneling
Quantum tunneling can be described as a quantum mechanical process where wavefunctions can penetrate through a potential barrier.
In which system Quantum tunneling can be observed?The transmission via the potential barrier can be finite and also depend upon the barrier width as well as barrier height. The wave functions have the probability of disappearing on one side and reappear on the remaining side.
The 1st derivative of the wave functions is generally continuous. In the steady state, the probability flux is spatially uniform and no wave or particle is eliminated. Tunneling can occur with barriers of thickness about 1 to 3 nm and smaller.
Quantum tunneling plays a crucial role in phenomena such as nuclear fusion and α-radioactive decay of atomic nuclei. Quantum tunneling has applications in the tunnel diode, in scanning tunneling microscope, and in quantum computing.
Learn more about Quantum tunneling, here:
https://brainly.com/question/13639384
#SPJ1
Quantum tunneling is a phenomenon in quantum mechanics where wavefunctions can pass through a potential barrier. It is a process that defies classical physics, where particles would be expected to bounce back when they encounter a barrier.
In quantum mechanics, particles are described by wavefunctions, which are mathematical representations of their quantum states. These wavefunctions can extend into regions that are classically forbidden, such as inside a potential barrier.
The probability of a particle "tunneling" through the barrier depends on various factors, including the width and height of the barrier. The wavefunctions have a certain probability of disappearing on one side of the barrier and reappearing on the other side.
One important characteristic of quantum tunneling is that the first derivative of the wavefunctions is generally continuous. This means that there is a smooth transition between the regions before and after the barrier. In the steady state, the probability flux is spatially uniform, meaning that no waves or particles are lost during the tunneling process.
Quantum tunneling has significant implications in various areas of physics. It plays a crucial role in phenomena such as nuclear fusion and alpha-radioactive decay of atomic nuclei. It also has practical applications, such as in tunnel diodes, scanning tunneling microscopes, and quantum computing.
Quantum tunneling is a fascinating phenomenon in quantum mechanics where particles can pass through potential barriers that classical physics would consider impossible to overcome.
In classical physics, particles are confined to their energy levels and cannot pass through energy barriers unless they have enough energy to overcome them. However, in quantum mechanics, particles can exhibit wave-like behavior and their wavefunctions can extend beyond the physical boundaries we would expect them to be confined to.
When a particle encounters a potential barrier, there is a probability that its wavefunction can penetrate through the barrier and appear on the other side. This means that even if the particle does not have enough energy to overcome the barrier classically, there is still a chance that it can "tunnel" through the barrier and continue its motion on the other side.
The probability of tunneling depends on factors such as the width and height of the potential barrier. In some cases, the wavefunction can completely disappear on one side of the barrier and reappear on the other side.
Quantum tunneling is not limited to any specific system but can occur in a wide range of phenomena. It has been observed in nuclear fusion, where particles overcome the Coulomb repulsion barrier and fuse together. It also plays a role in the alpha decay of atomic nuclei. Additionally, quantum tunneling has practical applications in devices like tunnel diodes, which exploit this phenomenon to create unique electrical behavior.
Overall, quantum tunneling is a fundamental concept in quantum mechanics that allows particles to defy classical limitations and pass through barriers that would be impossible to overcome classically.