The probability that a particular nucleus of Element A will decay between 5 and 10 hours is 0.7, and the probability that a particular nucleus of Element A will decay between 5 and 20 hours is 0.9.
What is nucleus?
Nucleus is a fundamental subatomic particle which is present in the atoms of all chemical elements. It is composed of protons and neutrons and is the heaviest and most densely packed constituent of atoms. It is the core of an atom, and it is the positive charge that attracts the electrons, which are negatively charged particles. The nucleus is surrounded by a cloud of electrons which determine the properties of the atom and its chemical behavior. The size of the nucleus is typically around one hundred-thousandth of the diameter of the atom. It is held together by strong nuclear forces and has a diameter of around 10-15 femtometers.
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The probability that a particular nucleus of Element A will decay between 5 and 10 hours is 1/2 and the probability that a particular nucleus of Element A will decay between 5 and 20 hours is 7/8.
What do you understand by the probability of disintegration of a radioactive substance?The total number of identical nuclei present in the nucleus affects how likely it is that the nucleus will disintegrate per second in a radioactive sample. Each nucleus breaks down on its own, regardless of any external factors. Consequently, the likelihood of nuclei disintegrating is the same.
The expression for the disintegration equation is given by
N(t) = N₀[tex]e^{-\lambda t}[/tex] .... (1)
The half-life of the particle for 5 hours is given by
N(5) = N₀/2
Substitute in equation (1) to get
N₀[tex]e^{-\lambda t}[/tex] = N₀/2
[tex]e^{-\lambda t}[/tex] = 1/2
λ = ln2/5
The half-life of a particle for 10 hours is given by
N(10) = N₀/4
N₀[tex]e^{-\lambda t}[/tex] = N₀/4
[tex]e^{-\lambda t}[/tex] = 1/2
λ = ln4/10
The probability of disintegration is given by:
P = N(5) - N(10)/N(5)
Substitute the values, to get
P = (N₀/2 - N₀/4)/(N₀/2)
= (N₀(2-1)/4)/ N₀(1/2)
= 1/2
The probability of element decay between 5 to 10 hours is 1/2.
Now, the half-life of a particle for 20 hours is given by
N(20) = N₀/16
N₀[tex]e^{-\lambda t}[/tex] = N₀/16
[tex]e^{-\lambda t}[/tex] = 1/16
λ = ln16/20
The probability of disintegration is given by:
P = N(5) - N(1\20)/N(5)
Substitute the values, to get
P = (N₀/2 - N₀/16)/(N₀/2)
= (N₀(8-1)/16)/ N₀(1/2)
= 7/8
The probability of element decay between 5 to 20 hours is 7/8.
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What is called solar energy?
Answer:
energy from the sun
Explanation:
the sun radiates energy known as solar energy.
G Two tiny particles having charges +20. 0 μC and -8. 00 μC are separated by a distance of 20. 0 cm. What are the magnitude and direction of electric field midway between these two charges? (k = 1/4πε0 = 9. 0 × 109 N ∙ m2/C2)(calculate separately electric field due to each charge at that point, next taking into account direction of each field find net electric field)
The magnitude of the net electric field is 2.7 x 10^9 N/C, and the direction is away from the positive charge and towards the negative charge.
The magnitude of the electric field due to the positive charge at the midpoint is:
E = k * q / r^2
E = (9.0 x 10^9 N * m^2/C^2) * (20.0 x 10^-6 C) / (0.20 m)
E = 4.5 x 10^9 N/C
The magnitude of the electric field due to the negative charge at the midpoint is:
E = k * q / r^2
E = (9.0 x 10^9 N * m^2/C^2) * (-8.00 x 10^-6 C) / (0.20 m)
E = -1.8 x 10^9 N/C
The direction of the electric field due to the positive charge is away from the charge, and the direction of the electric field due to the negative charge is towards the charge.
To find the net electric field, we add the vectors of the two electric fields. Since the vectors are in opposite directions, we subtract the negative vector from the positive vector.
E_net = E_positive + E_negative
E_net = (4.5 x 10^9 N/C) + (-1.8 x 10^9 N/C)
E_net = 2.7 x 10^9 N/C
The magnitude of the net electric field is 2.7 x 10^9 N/C, and the direction is away from the positive charge and towards the negative charge.
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What is a marine zone? Thats all I need thank you :)
Answer:
For this I believe that your working on Ocean layers in science physics
There are actually 5 ocean zones or layers. (here they are in order)
1. Sunlight zone
2. Twighlight zone
3. Midnight zone
4. Abyssal Zone
5. Hadal zone
As a rephrase of the question I believe you meant to say
What are the marine zones?
Please correct me if wrong!!
To understand electrical currents we need to understand
Electric current is a term used to describe how much electricity flows across a circuit and how it flows in an electronic circuit. Amperes are used to measure it (A).
How much electricity is best understood?The energy of charged particles is referred to as electricity. One option for storing electricity is a battery. Electricity flows when you connect a battery to a light bulb. Due to the fact that electrical charges (electrons) can freely transport energy from the battery through the bulb, this occurs.
What is the most crucial electrical rule?Disconnect the power source. This is the first and most crucial requirement to abide by. This is the first and most crucial rule to adhere to. If you ever need to repair electrical equipment in your house, be sure to first unplug it from the power source. It might not be sufficient to simply turn it off.
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Two spherical objects have masses of 1. 5 x 10^5 kg and 8. 5 x 10^2 kg.
Their centers are separated by a distance of 2500 m. Find the
gravitational attraction between them.
When two objects are separated by a distance then gravitational attraction between them is 1.36 × 10^-9 N.
Given,
m = 1.5 × 10^5 kg
M = 8.5 × 10^2 kg
r = 2500 m
F=GmM/r^2
Here G = 6.67 × 10^-11 N.m^2/kg^2 is the value of the gravitational constant
F = 1.36 × 10^-9 N
Every body in the universe attracts every other body with a gravitational force that decreases with distance as 1/r2. But actually he knew more about the gravitational force: from the fact that bodies of different masses near the earth’s surface accelerate downwards at the same rate, using F = ma (Second Law).
If two bodies of different masses have the same acceleration they must be feeling forces in the same ratio as their masses (so a body twice as massive feels twice the gravitational force), that is, the gravitational force of attraction a body feels must be proportional to its mass.
Newton’s first clue that gravitation between bodies fell as the inverse-square of the distance may have come from comparing a falling apple to the falling moon, but important support for his idea was provided by a detailed description of planetary orbits constructed half a century earlier by Johannes Kepler.
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A truck with mass of 3,250 kg traveling with a velocity of 25.0 m/s hits a car at rest. After the collision, the truck moves with a velocity of 19.0 m/s. The car has a mass of 2,820 kg. If the two vehicles do not stick together, how fast is the car moving after the collision?
Answer:
6.9 m/s
Explanation:
This is a conservation of momentum problem, so the total momentum before the collision must equal the total momentum after the collision.
P = mv
m1v1 + m2v2 (before) = m1v1 + m2v2 (after)
(3250kg)(25.0 m/s) + (2820 kg)(0m/s) = (3250 kg)(19.0 m/s) + (2820 kg)(v2)
Now you can solve for the v of the car after the collision:
81250 kg·m/s + 0 = 61750 kg·m/s + (2820 kg)v2
19500 kg·m/s = (2820 kg)v2
v2 = 19500 kg·m/s / 2820 kg = 6.9 m/s
The energy transferred to the water was 1050 J.
The time taken for the water temperature to increase by 0.6 °C was 5 minutes.
The specific heat capacity of water is 4200 J / kg °C.
Write down the equation which links energy transferred, power and time.
The energy transferred to the system is equal to the work done. For the endothermic process work done is negative. The power of the system is the product of work and time. Hence, the power is 315000 watt.
What is endothermicity?Endothermic reactions are those which absorbs energy into the system. Thus the surrounding temperature gets decreased.
The calorimetric equation connecting the heat transferred q, with the specific heat, mass and temperature difference is written as:
q = m c ΔT
Here, the heat energy transferred is equal to the work done on the system. Hence W = - 1050 J
Power of the system is the product of work done and time taken for the energy transfer.
Power = W.dt
w = - 1050 J
t = 5 min = 300 s
Then P = 1050 J × 300 = 315000 watt.
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If I raise the temperature of a material by 5 K, what is the corresponding change in temperature on the Fahrenheit scale?
The corresponding change in temperature on the Fahrenheit scale More than 5°F.
In the Celsius scale, a temperature change of 5 degrees K corresponds to a shift of 50 degrees C. This is due to the fact that a temperature change of one degree Celsius is equivalent to a temperature change of one degree Kelvin. Tk = TC +273.15. We can observe that the relationship between the two temperature scales is linear and that its slope is the same for each.
The degree Celsius, denoted by the symbol °C, is the unit of temperature in Celsius and is by definition equal in magnitude to the kelvin unit. A temperature difference or interval can be stated in either kelvin or degrees Celsius, and in both cases the numerical value of the temperature difference is the same. However, the relationship between the numerical value of a thermodynamic temperature represented in kelvin and a Celsius temperature expressed in degrees Celsius exists.
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How can Accenture's sustainable software engineering help meet sustainability?
Accenture can assist its clients in being more sustainable thanks to the myNav. By making it easier to create cloud solutions that lower carbon emissions by rearranging manufacturing facilities such that carbon emissions can be calculated with ease.
by establishing new corporate efforts to lower transportation expenses and by establishing new rules for the disposal of out-of-date technology.
Accenture can assist its clients in becoming more sustainable by using mynav to locate, assess, architect, and simulate an end-to-end solution at scale.
reduces the expense of transportation
creates a design that is appropriate and aids the customer in becoming more sustainable.
establishes sustainable guidelines for disposing of outdated technology.
Green Cloud Advisor starts by establishing a baseline for the energy usage, compute needs, and sustainability objectives of current data centers. through promoting the development of cloud technologies that cut down on carbon emissions
by reconfiguring factories so that carbon emissions may be easily measured
by implementing creative business techniques to reduce the cost of transportation
by creating new regulations for removing outdated technologies.
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Two points, point 1 and point 2, are located inside a region with an electric field pointing to the left, as shown in the figure. 1 50% Part (a) If a proton is moved from point 1 to point 2, how will the potential energy of the charge-field system change? How will the potential change?
If protons move in the direction of the electric field, the electric potential would change, and it decreases, but if you move opposite the field, the potential energy increases.
If the field is directed from lower potential to higher then the direction is taken to be positive. If the field is directed from higher potential to lower potential then the direction is taken as negative. Potential energy can be converted to kinetic energy and vice versa.
Potential energy is the stored energy in any object or system by virtue of its position or arrangement of parts. However, it isn't affected by the environment outside of the object or system, such as air or height.
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The solar system is 25,000 light years from the center of our Milky Way galaxy. One light year is the distance light travels in one year at a speed of 3.0×108m/s. Astronomers have determined that the solar system is orbiting the center of the galaxy at a speed of 230 km/s.
The approximate mass of the galactic center was calculated to be 1.88*1041 kg.
Assume that the sun is a typical star with a typical mass. If galactic matter is made up of stars, approximately how many stars are in the center of the galaxy?
Note : Astronomers have spent many years trying to determine how many stars there are in the Milky Way. The number of stars seems to be only about 10% of what you'll find in part d. In other words, about 90% of the mass of the galaxy appears to be in some form other than stars. This is called the dark matter of the universe. No one knows what the dark matter is. This is one of the outstanding scientific questions of our day.
The stars in the center of the Milky Way galaxy is approximately 94.5 billion stars. The result is obtained by dividing the mass of the galactic center by the mass of the Sun.
How to estimate the number of stars in a galaxy?The number of stars in a galaxy can be estimated by dividing the mass of galactic center by the mass of a typical star.
In the Milky Way,
Radius of the solar system, r = 25,000 light years.1 light year, c = 3 × 10⁸ m/s.Speed of the solar system, v = 230 km/s.Approximate mass of the galactic center, M = 1.88 × 10⁴¹ kg.Suppose that the Sun is a typical star with a typical mass and the galactic matter is made up of stars. Find the approximate number of stars in the center of the galaxy!
From the scientific data, the mass of the Sun is 1.99 × 10³⁰ kg.
The number of stars is approximately
N = Mass of the galactic center / Mass of the Sun
N = 1.88 × 10⁴¹ kg / 1.99 × 10³⁰ kg
N = 0.945 × 10¹¹
N = 94.5 × 10⁹
N = 94.5 billion stars
In the center of Milky Way, the number of stars is around 94.5 billion stars.
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Rank the following reservoirs by the amount of time that water tends to reside in them.
Longest Shortest
Oceans glaciers lakes
the atmosphere rivers
In Glaciers water tends to live extra than the longest time and, within the ecosystem, the water turns to live for the shortest time. due to the fact in glaciers water anticipated residence time is approx. 3000 years and in Lake’s water be saved approx. a hundred years. Water house time in the river is approx. for weeks to months and water residence, time in the surroundings is approx. for 7 - 9 days at best.
Glaciers are big, gradual-shifting masses of ice that collect over thousands of years from the compaction of snow. Glaciers are discovered in lots of mountainous and polar areas around the sector, and they're the largest freshwater reserves around the globe. Glaciers act as a herbal garage of water, allowing it to be launched slowly over the years.
As temperatures increase, glaciers are melting at an alarming fee. This melting causes the discharge of large amounts of water, which can weigh down ecosystems and result in flooding, as well as boost sea tiers. The water from melting glaciers also impacts the ocean’s salinity and chemistry, main to changes in the entire marine atmosphere. As glaciers hold to soften at an accelerated price, the availability and exceptional of our water sources will be affected.
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Complete Question:
Rank the following reservoirs by the amount of time that water tends to reside in them. (from longest to shortest)
A). Oceans
B). Rivers
C). Lakes
D). Glaciers
E). Atmosphere
How do icebergs form in saltwater?
An iceberg is formed by the broken part of a large glacier that floats into the sea. The iceberg is composed of fresh water, just like the glaciers or ice in the North Pole. Since, freshwater is less thick than salty seawater, icebergs float in the water.
When chunks of ice break off the end of a glacier that is flowing into ocean, icebergs are created.
Since, seawater has a slightly higher density than ice, the iceberg floats with the majority of its mass below the surface. A cork, on the other hand, floats quite near to the water's surface due to its density, which is around 20% that of water.
As moving icebergs are dangerous, they have never been a main supply of drinking water. Freshwater is released by melting glaciers and icebergs, which also lowers the salinity of the surrounding sea.
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A proton moving at 3.40 106 m/s through a magnetic field of 1.97 T experiences a magnetic force of magnitude 7.71 10-13 N. What is the angle between the proton's velocity and the field
When the proton passed through magnetic field then the angle between the proton velocity and the field is 49° degrees.
Given
Speed v = 4.00 m/s
Mg field =1.7 T
Force = 8.21 10-3 N
Given:- Velocity of the particle = 4.00x10m/3. 2 Magnitude of the magnetic field B= 1.701.
Force experienced by the particle: 8.20x10¹³N.
To find: The between the particle velocity and field. angle a
We know that :- F= q(√xB)
9 (VBSino) 928 - Sina
Sina = 8.20×10-13 1.6×10-19×4×10 6 x 1.70 = 0.7536.
Sin a = 0.7536. ~ Sin 0 = 0.754
a = sin' (0.7536)
a = 49°
we have a point charge q0 located at r and a set of external charges conspire so as to exert a force F on this charge. We can define the electric field at the point r by: E =Fq0
The (vector) value of the E field depends only on the values and locations of the external charges, because from Coulomb’s law the force on any “test charge” proportional to the value of the charge. However to make this definition really kosher we have to stipulate that the test charge q0 is “small”; otherwise its presence will significantly influence the locations of the external charges.
The electric field is a vector. we can see that its SI units must be It follows from Coulomb’s law that the electric field at point r due to a charge q located at the origin is given by E = kq where r is the unit vector which points in the same direction as r.
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What potential difference, acting over a distance of 2.5 cm, would be needed to balance the downward force of gravity so that an electron would remain stationary
The potential difference, acting over a distance of 2.5 cm is 1.4*10^-12V.
What are the effects of distance on potential difference?The potential actually grows as you get farther away from the charge, becoming less negative as you get closer to it and eventually reaching zero. The potential for both positive and negative charges is zero at infinite distances from the charge.
Exactly what is potential energy?The energy that a body has because of its location or deformation is known as potential energy. Both the body's bulk and the height to which it is lifted play a role.
Given:
Distance (d) = 2.5cm = 0.025 m
For an electron,
[tex]m= 9.109*10^-31kg[/tex]
[tex]q=1.602*10^-19C[/tex]
We isolate the electric field:
[tex]E=\frac{mg}{q}[/tex]
[tex]g=9.8 m/s^2[/tex]
[tex]E=\frac{(9.109*10^-31kg)(9.8m/s^2)}{1.602*`10^-19C}[/tex]
[tex]E=5.5723*10^-11V/m[/tex]
Electric potential,
[tex]E=\frac{V}{d}[/tex]
[tex]V=Ed[/tex]
[tex]V= (5.5723*10^-11V/m)(0.025m)[/tex]
[tex]V=1.4*10^-12V[/tex]
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Because Earth has a lot of nitrogen in its atmosphere and nitrogen has three atoms, this causes even more bluish coloring since three different paths are possible for any one photon (particle of light). Three paths means that more photons are scattered forward and backward than side-to-side, which will make the sky look bluer still.
A buildup of nitrogen in the atmosphere can result in pollutants like ozone and ammonia, which can reduce visibility, interfere with plant growth, and harm our capacity to breathe.
Does increase in nitrogen cause global warming?"Human nitrogen additions to the soil, in the form of fertilisers, strengthen the greenhouse effect: approximately 60% of nitrous oxide is emitted from fertilised fields, manures, and other agricultural sources," claims Mahesh Pradhan, a nutrient pollution specialist with the UN Environment Programme (UNEP).
AUSTRIA (Thomson Reuters Foundation) - Scientists said on Wednesday that rising nitrogen-based fertiliser use is raising emissions of a greenhouse gas 300 times more potent than carbon dioxide, endangering attempts to keep global warming within globally set limits.
With over 75% of all greenhouse gas emissions and almost 90% of all carbon dioxide emissions coming from fossil fuels like coal, oil, and gas, they are by far the biggest cause of climate change in the world.
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Does the effective thermal conductivity of an insulation system account for heat transfer by conduction alone
Yes, effective thermal conductivity of an insulation system accounts for heat transfer by conduction.
What do you mean by thermal conductivity?
Thermal conductivity is a property of a material that describes its ability to conduct heat. It is typically measured in units of watts per meter per kelvin (W/m·K). The thermal conductivity of a material is affected by various factors, such as temperature, pressure, and the presence of impurities or defects.
The effective thermal conductivity of an insulation system is a measure of its ability to resist heat transfer by conduction. It does not take into account other forms of heat transfer, such as convection or radiation.
The value of the thermal conductivity is typically measured by determining the rate of heat flow through a sample of the insulation material under specific conditions of temperature and pressure.
The lower the thermal conductivity, the better the insulation's ability to resist heat transfer by conduction.
Hence, effective thermal conductivity of an insulation system accounts for heat transfer.
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If the human body has an average density of 981 kg/m3 , what fraction of a person is submerged when floating gently in fresh water
The fraction of the person submerged in fresh water is about 98.1%.
Given data as per the question:
Average density of the human body= 981 kg/ m³.
The Law of floatation can be defined as the volume of the liquid displaced when a body floats on the liquid surface is equal to the body submerged in the water.
As body has the stable equilibrium state, the buoyancy of the fluid will be equal to the weight.
Weight of the body floating = Weight of the body immersed in fluid
Law of floatation = Density of the floating object / density of fluid
As fluid is the freshwater here, the density of fluid will be 1000 kg/ m³.
= (981 kg/ m³) / ( 1000 kg/ m³)
= 98.1 %
A person is submerged when floating gently in fresh water about 98.1%.
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During their discussion, Jolon makes several statements about energy. Which statement is correct? O "Energy in a system changes depending on what kind of energy is in the system." O "Energy in a system always switches between kinetic " and potential forms O "Energy in a system can be increased if work is inserted into the system from outside." O "Energy in a system is always constant."
Answer: yes
Explanation:
not to sure
In 1935, a french destroyer , La Terrible , started from rest and accelerates to attain a speed of 93 km/h. Suppose it took 2 minutes for the ship to speed up. Find the ships average acceleration.
According to the given statement The ships average acceleration is 2790 km/hr².
What is an explain acceleration?Rate of change in both speed and direction of motion over time. A point or object going straight forward is accelerated when it accelerates or decelerates. Even though the speed is constant, motion on a circle accelerates because of direction is always shifting
Calculation:We know that from newton's equation,
v² + u² = 2as
S = ut + 0.5 at²
Where, v = final speed
u = initial speed
a = acceleration
S = distance covered
t = time taken
Given, u = 0
So the equations becomes:
v² = 2as
S = 0.5 at²
Using these equations we get:
v² = 2a(0.5)at²
v² = a²t²
v = at
v/t = a
Given, v = 93 km/hr
t = 2 min = 2/60 hr
Putting these values in above equation we get, a = 2790 km/hr²
So, the ships average acceleration is 2790 km/hr²
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When a newly forming star is at its greatest luminosity, what is its energy source?
A. nuclear fusion of hydrogen into helium
B. A newly forming star has no energy source because it does not shine at all until it becomes a true main-sequence star.
C. radioactive decay of unstable isotopes
D. gravitational contraction
The correct option is D, when a newly forming star is at its greatest luminosity, its energy source is gravitational contraction.
Gravitational contraction is the process by which objects in the universe collapse under their own gravity. It occurs when the internal pressure of an object is not strong enough to resist the pull of gravity. This can occur on small or large scales, from the collapse of a gas cloud to form stars to the collapse of entire galaxies.
As an object collapses, its temperature and density increase, and the collapse accelerate due to gravitational potential energy being converted into kinetic energy. This process can lead to the formation of stars, planets, and other objects in the universe. It is also the source of much of the energy released by stars, which powers the universe. Gravitational contraction is an important part of the astronomical theory of the formation of galaxies, stars, and planets.
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A 50.0-kg child stands at the rim of a merry-go-round of radius 2.70 m, rotating with an angular speed of 3.95 rad/s. What minimum coefficient of static friction is required
A 50.0-kg child stands at the rim of a merry-go-round of radius 2.70 m, rotating with an angular speed of 3.95 rad/s. Minimum coefficient of static friction is required 13.56.
To find the minimum coefficient of static friction required, we need to calculate the centrifugal force acting on the child and compare it to the force of friction.
The centrifugal force acting on the child is given by:
= Fc
= m * r * w^2
where
= m
= 50.0 kg (mass of child)
= r
= 2.70 m (radius of the merry-go-round)
= w
= 3.95 rad/s (angular velocity)
So, Fc = 50.0 kg * 2.70 m * (3.95 rad/s)^2
= 6629.775 N
The force of friction acting on the child is given by:
= Ff
= friction coefficient * normal force
where
friction coefficient = minimum coefficient of static friction required (unknown)
= normal force
= m * g
The normal force is equal to the weight of the child, which is
= m * g
= 50.0 kg * 9.8 m/s^2
= 490 N
So, Ff = friction coefficient * 490 N
To find the minimum coefficient of static friction, we need to set Ff equal to Fc and solve for the friction coefficient:
friction coefficient = Ff / N
friction coefficient = 6629.775 N / 490 N
= 13.56
So the minimum coefficient of static friction required is 13.56.
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Inducing magnetic properties on a substance means you are
aligning the electrons to spin in the opposite direction
aligning the electrons to spin in the same direction
pairing up electrons to spin together
separating electrons to move freely in the substance
Inducing magnetic properties on a substance means you are aligning the electrons to spin in the same direction, 2nd option.
How are magnetic properties induced?The magnetic intensity is the magnetic field produced solely by the electric current flowing in a solenoid. The magnetic property of a material is induced by an external magnetic field. When a material is exposed to an external magnetic field, it becomes magnetized.
A strong magnetic field is produced when the majority of electrons in an atom spin in the same direction. The magnetic field's direction is determined by the direction of electron spin.
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A net force of 10 newtons accelerates an object at 5.0 meters per second^2. What net force would be required to accelerate the same object at 1.0 meters per second^2
The proper answer is that a force of 16 N net would be needed to accelerate the same item at 1.0 m/s2.
How is the net force needed to accelerate calculated?Newton's second law of motion condenses these relationships. The answer to the acceleration equation above can be written as Net Force = Mass Acceleration, or F = m a.
You know that force(F) & acceleration(a) are connected through mass(m),
F=ma
Here you have:
10 = 5 m
so, m = 10/5 = 2 Kg
Then if you have a = 8 m/s^2
you get:
F=2×8=16 N
Force = 16N
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A lottery machine uses blowing air to keep 2000 ping-pong balls bouncing around inside a 1. 0m×1. 0m×1. 0m box. The diameter of a ping-pong ball is 3. 0 cm. What is the mean free path between collisions?
The mean free path between collisions is 1.41 mm.
The mean free path between collisions in a gas can be calculated using the formula: mean free path = 1 / (density x collision cross-section)
To calculate the mean free path between collisions for the ping-pong balls, we first need to calculate the number density of the balls, which is the number of balls per unit volume. Since the box is 1m x 1m x 1m, and the diameter of a ping-pong ball is 0.03m, the volume of the box is 1m^3 and the volume of a single ball is 4/3 * pi * (0.03/2)^3 = 2.5*10^-5 m^3.
Therefore, the number density of the balls is 2000 / 1 = 2000 balls/m^3.
The collision cross-section of a sphere is given by the formula:
cross-section = pi * (diameter / 2)^2
So, the collision cross-section of a ping-pong ball is pi * (0.03 / 2)^2 = 7.07 * 10^-4 m^2
Therefore, the mean free path between collisions is:
mean free path = 1 / (2000 x 7.07 * 10^-4) = 1.41 * 10^-3 m or 1.41 mm
This means that the ping-pong balls in the lottery machine are colliding on average every 1.41mm.
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Under certain circumstances, potassium ions (K ) in a cell will move across the 8. 15 nm thick cell membrane from the inside to the outside. The potential inside the cell is -70. 5 mV and the potential outside is zero. What is the change in the electrical potential energy of a single potassium ion as it moves across the membrane
The change in electrical potential energy of a single potassium ion as it moves across the membrane is determined by the difference in the electrical potential energy of the ion on either side of the membrane.
What is Energy?
Energy is the capacity for doing work. It can take on many forms, including mechanical, electrical, chemical, thermal, and nuclear energy. Energy can be converted from one form to another, and it can be used to do work or to produce heat.
Step 1: Calculate the charge of a single potassium ion.
Charge of potassium ion = 1 x 1.602 x 10^-19 Coulombs
Step 2: Calculate the change in potential.
Change in potential = 70.5 mV
Step 3: Calculate the change in electrical potential energy.
Change in electrical potential energy = Charge of potassium ion x change in potential
= (1.602 x 10^-19 Coulombs) x (70.5 mV)
= 1.13 x 10^-17 Joules
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What is the reason why a yellow colored object looks white in a dimmed light or low intensity of light?
The reason why a yellow colored object looks white in a dimmed light or low intensity of light the colors wavelength have the colors more farther it means it's getting more dimmed.
The wavelengths of sound waves are similar to the size of objects around you, but the wavelength of light waves are much shorter. As a result, you can hear people talking in a room with an open door even though you can’t see them.
The amount of diffraction or bending of the wave depends on the size of the obstacle the wave encounters. If the size of the obstacle is much larger than the wavelength, very little diffraction occurs. Then there is a shadow behind the object where there are no waves.
As the wavelength increases compared with the size of the obstacle, the amount of diffraction increases. The amount of diffraction is greatest if the wavelength is much larger than the obstacle.
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Rank the following items that describe distances from longest distance (left) to shortest distance (right). (If two distances are equal, drag the second item on top of the first item. )a- the distance from the Milky Way Galaxy to the Andromeda Galaxyb- the distance from the Sun to the center of the Milky Way Galaxyc- the distance from Earth to Alpha Centaurid- one light-yeare- the distance across out solar system (to Neptune)f- the average distance from Earth to the Sun & one astronomical unit (AU)
Galaxy: The distance was calculated in 2004 using the Cepheid variable method to be 2.51 0.13 million light-years (770 40 kpc). In the Andromeda Galaxy, an eclipsing binary star was found in 2005.
Explanation for the above answer:The universe, Earth, the solar system, the Milky Way galaxy, the local group, and the local supercluster.
Astronomers discovered a truly enormous galaxy earlier this year. Alcyoneus is a massive radio galaxy that is around 3 billion light-years away and extends 5 megaparsecs into space. Its length, 16.3 million light-years, makes it the longest structure of known galactic origin.
Our Sun and the Earth are travelling at a speed of about 43,000 miles per hour (70,000 km/hr) roughly in the direction of the brilliant star Vega in the constellation Lyra relative to the local standard of rest.
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For the circuit in the attached plot, find the energy stored in the capacitor under DC conditions. O 30 mJ O 3 mJ O 0.045 mJ O 0.005 mJ
The energy stored in the capacitor is 0.045 mJ. Under DC conditions, the capacitors will be open-circuited.
What is the formula for energy stored in a capacitor?Energy stored in a capacitor can be calculated by
E = ½ CV²
Where
E = energy (J)C = capacitance (F)V = voltage (V)The picture of circuit in the attached plot is in the attachment.
Find the energy stored in the capacitor under DC conditions!
We have
R₁ = 10 ΩR₂ = 20 ΩC = 0.1 μFI = 3 AUnder DC (Direct Current) conditions, the capacitors will be open-circuited. It means that there is no current will flow through the 20 Ω resistor. So, I across the 10 Ω resistor is the same as I source.
See the picture below in the attachment!
The voltage across the 10 Ω resistor is
V = IR
V = 3(10)
V = 30 V
The voltage across the capacitor is the same as the voltage across the 10 Ω resistor.
Vc = V = 30 V
The energy stored would be
E = ½ C Vc²
E = ½ (0.1)(10⁻⁶)(30)²
E = ½ (10⁻⁷)(900)
E = 450 × 10⁻⁷
E = 0.045 × 10⁻³
E = 0.045 mJ
Hence, the energy stored in the capacitor under DC conditions is 0.045 mJ. The correct option is (c).
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Assume that you have a mass of 50.0 kg. Earth has a
mass of 5.97 X1024 kg and a radius of 6.38X 10 m.
What is the force of gravitational attraction
between you and Earth?
The force of gravitational attraction is 489.18N
Gravitation is a study of how two masses interact, one of which is heavier and the other lighter, and force is the force that attracts all bodies towards itself in this universe. Gravitational force is a central force that is exerted along the line joining the q of two masses, and the direction of that force depends only on their position with respect to the source mass.Gravitational force: The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them.[tex]F = \frac{Gm_{1} m_{2} }{r^{2} }[/tex]
Where,
F is the gravitational force between two bodies
m1 is the mass of the first body = 50 Kg
m2 is the mass of the second body = [tex]5.97 * 10^{24} Kg[/tex]
r is the distance between the centres of two bodies = [tex]6.38 * 10^{6} m[/tex]
G = gravitational constant = [tex]6.67 * 10^{-11}[/tex]
Putting these values in above equation we get: F = 489.18N
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