Here is an `x` by `x 1` rectangle and a `1` by `x` rectangle. the rectangles are similar. The value of `x` to show the possible dimensions for these rectangles is x = (-1 + √5) / 2 or x = (-1 - √5) / 2
The similar rectangles have proportional sides. Given that one rectangle is x by x + 1 and the other is 1 by x, the ratio of their sides must be equal, so:
x / (x + 1) = 1 / x
Solving for x:
x^2 + x - 1 = 0
Use the quadratic formula to find the solutions:
x = (-1 ± √(1^2 - 4 * 1 * -1)) / (2 * 1)
x = (-1 ± √(1 + 4)) / 2
x = (-1 ± √5) / 2
Thus, the possible values of x are:
x = (-1 + √5) / 2 or x = (-1 - √5) / 2
Note that these are the Golden Ratio and its inverse, respectively
Here you can learn more about the dimensions rectangles
brainly.com/question/13129748
#SPJ4
a 25-cm-long glass stirring rod at a laboratory temeprature of 20 c is placed in an autoclave and heated to 150 c. by about how much does the rod expand
In order to reach a chambers temperature of a minimum of 250°F (121°C) for just a set amount of time—typically 30–60 minutes—autoclaves employ saturation steam with a pressure of around 15 square inches per square.
What kind of heat is in an autoclave?To eliminate any potential microbiological life on a contaminated load, autoclaves use steam heat. Once a cargo, also known as goods, has gone through a complete sterilising cycle, it is deemed sterile.
Why would a lab need an autoclave?An autoclave is used to sterilise surgical instruments, lab equipment, pharmaceutical products, and other things. It has the capacity to sterilise devices of all shapes and sizes as well as hollow items, liquids, solids, and solids. The dimensions, architecture, and operation of autoclaves vary.
To know more about temperature visit:
https://brainly.com/question/12869377
#SPJ4
the plate separation is now increased to a distance of 2d. which of the following correctly describes the change, if any, of the voltage across the capacitor, the electric field between the plates, and the energy stored in the capacitor?
The correct answer is: 1
Voltage does not change Electric field does not change Energy does not change
The following changes occur when the plate spacing of a capacitor is raised to a distance of 2d:
The voltage across the capacitor is as follows: Because V = Q/C, where V is the voltage, Q is the charge on the plates, and C is the capacitance, the voltage across the capacitor lowers. The capacitance and consequently the voltage drop as the plate spacing rises.
The electric field between the plates is as follows: Because E = V/d, where E represents the electric field, the electric field between the plates diminishes. The electric field reduces as the voltage falls (as explained above).
The energy stored in the capacitor diminishes because the energy stored in a capacitor is determined by U = (1/2)CV2, where U is the stored energy and C is the capacitance. The energy stored in the capacitor diminishes as both the voltage and capacitance drop.
When the plate spacing of a capacitor is extended to 2d, the capacitance falls, causing the voltage across the capacitor and the electric field between the plates to decrease. As the voltage drops, so does the amount of energy stored in the capacitor. As a result, none of the characteristics (voltage, electric field, or energy) stay constant.
For more questions on Voltage across the capacitor
https://brainly.com/question/29109967
#SPJ4
The missing option may be:
1) Voltage does not change Electric field does not change Energy does not change
2) Voltage does not change Electric field doubles Energy does not change
3) Voltage doubles Electric field doubles Energy does not change
4) Voltage doubles Electric field does not change Energy doubles
5) Voltage doubles Electric field doubles Energy doubles
what is the change in velocity, v , during the 3.0- s interval from 1.5 s before the highest point to 1.5 s after the highest point? (caution: we are talking about velocity, not speed.). express your answer to two significant figures and include the appropriate units.
The change in velocity during the 3.0-s interval from 1.5 s before the highest point to 1.5 s after the highest point is 0.00 m/s. This is because velocity is a vector quantity, so it does not change if the direction of motion remains the same.
To calculate the change in velocity during the 3.0-second interval from 1.5 seconds before the highest point to 1.5 seconds after the highest point, you will first need to calculate the velocity at the 1.5 seconds before the highest point and then calculate the velocity at 1.5 seconds after the highest point.
Then, subtract the two velocities to get the change in velocity. As velocity is a vector quantity, the change in velocity will be 0 if the direction of motion remains the same.
Learn more about velocity
https://brainly.com/question/80295?source=archive
#SPJ4
in section 2-1, you learned the magnitude system: the astronomer's scale of the brightness of stars and other objects. based on what you learned about the magnitude system, select all of the correct statements from the following list.
The following list is the correct statement about the astronomer's scale of the brightness of stars and other objects based on the magnitude system:
The brighter star is approximately 2.5 times brighter than the lesser one if their luminosities are separated by one magnitude.In order to be seen to the unaided eye, a star must be brighter than sixth magnitude.A magnitude -2 object is extremely brilliant.In astronomy, magnitude is a unit used to describe how luminous a star or other celestial body is. The magnitude attributed to an object decreases as it becomes brighter. The brightest stars were found in the first magnitude class, which had six classes of magnitude. The scale of absolute magnitude. The brightness of an object is simply measured in terms of its absolute magnitude at a standard distance of 10 parsecs (32.6 light-years).
Learn more about astronomer's scale here: https://brainly.com/question/2141924
#SPJ4
calculate the mol fraction of each compound in the vapor in equilibrium with the mixture in (1) g
You must change the specified masses to moles in order to compute the mole ratio of the each ingredient in the combination.
What is a mole fraction and an illustration?A molar concentration is the proportion of molecules of one component in a mixture. For example, methanol in a gas is 0.90, this indicates that 90% of a atoms are methane. The mixture is also 90% methane since the amount fractions are similar to mole fractions.
A nHe=326.4g4.003g/mol=81.54mol is the number of moles of He.
nO2=51.2g32.00g/mol=1.60mol B is the number of moles of O2. In order to determine each's partial pressure, we can now apply the ideal gas law:
PHe=nHeRTV=81.54mol×0.08206atm⋅Lmol⋅K×293.15K10.0L=196.2atm
PO2=nO2RTV=1.60mol×0.08206atm⋅Lmol⋅K×293.15K10.0L=3.85atm
s the overall pressure.
Ptot=PHe+PO2=(196.2+3.85)atm=200.1atm
To know more about The mole visit:
https://brainly.com/question/14434096
#SPJ4
the materials property that determines the amount of heat flux that will flow across a given length of material at a fixed temperature difference is the:
The thermal conductivity of a substance is a measure of its capacity to conduct heat. The rate of heat transfer through a unit thickness of material per unit area per unit temperature difference is known as thermal conductivity.
What factors determine the thermal properties of a material?The most essential elements are temperature, moisture content, and density. Thickness, air velocity, pressing, and age time are also considerations. The key elements influencing thermal conductivity are discussed. Uncertainty concerning the thermal conductivity of commonly used insulating materials.
Thermal conductivity is a material's ability to conduct heat. Heat transfer happens at a slower rate across low thermal conductivity materials than across high thermal conductivity materials. Thermal resistivity is the reciprocal of this property, which is temperature dependant.Heat flow is determined by multiplying the thermal conductivity of the rock by the temperature gradient. mW/m2 = milli Watts per metre squared are the conventional units. Consider a 1 metre by 1 metre flat plane; the quantity of energy transferred through that plane equals the amount of heat flow.
To know more about Conductivity visit:
https://brainly.com/question/18132856
#SPJ4
suppose the plates of a parallel-plate capacitor move closer together by an infinitesimal distance , as a result of their mutual attraction. (a) use eq. 2.52 to express the work done by electrostatic forces, in terms of the field e, and the area of the plates, a. (b) use eq. 2.46 to express the energy lost by the field in this process.
As a result, the energy lost by the field in this operation equals ε_0 * A * dd^2 / d.
What is electrostatic force?Non-contact forces, such as electrostatic forces, pull or push on things without touching them. When certain materials are rubbed together, a phenomenon known as 'charge' is transferred from one surface to the other. Charged items pull on uncharged things and can push or pull on charged objects.
Here,
(a) The work done by electrostatic forces when the plates move closer together by an infinitesimal distance is given by:
W = - dQV = - dQ * (V2 - V1)
where dQ is the change in charge on the plates, and V is the voltage across the plates. The voltage can be related to the electric field between the plates and the plate separation by:
V = Ed
where d is the plate separation. Substituting this into the equation for work, we get:
W = - dQ * (Ed2 - Ed1) = - dQ * E * dd
Since the change in charge on the plates is proportional to the change in separation, we can write:
dQ = C * dd
where C is the capacitance of the parallel-plate capacitor. Substituting this into the expression for work, we get:
W = - C * E * dd^2
Finally, using the relationship between the electric field and capacitance for a parallel-plate capacitor:
E = ε_0 * A / d
where ε_0 is the vacuum permittivity and A is the area of the plates, we can rewrite the expression for work as:
W = - C * ε_0 * A * dd^2 / d^2 = - ε_0 * A * dd^2 / d
(b) The energy lost by the field in this process can be calculated as the work done by the electric forces, which is given by:
ΔU = -W = ε_0 * A * dd^2 / d
So, the energy lost by the field in this process is equal to ε_0 * A * dd^2 / d.
To know more about electrostatic force,
https://brainly.com/question/9774180
#SPJ4
figure 1 shows a drop in the first ionization energy as a function of the valence, or outermost, electrons from beryllium to boron. which of the following best explains the source of this drop?
Valence electrons and core electrons are the two groups into which an atom's electrons are commonly subdivided. The outermost or highest energy level of an atom is occupied by valence electrons, whereas the innermost or lowest energy levels are occupied by core electrons.
Beryllium only need four electrons, right?When this happens, the molecule's atom of the element is said to hold an unfinished octet. Common examples of these elements are hydrogen, which has only two valence electrons, beryllium, which has only four, as well as boron and aluminium (stable with only 6 valence electrons).
Beryllium contains four protons in its nucleus, making it the fourth element on the periodic table. Consequently, it possesses four electrons.
Learn more about Valence electrons
https://brainly.com/question/28337734
#SPJ4
which pairs (if any) of vectors from the following list satisfy the given conditions? (select all that apply.) a
Because the angle between a and b is 96.38, the last two answers are a and b and b and c.
What do you mean by vector?A vector is a number or phenomena with two distinct properties: magnitude and direction. The term can also refer to a quantity's mathematical or geometrical representation.
In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight. (Weight is the force produced by gravity's acceleration acting on a mass.) A scalar is a quantity or phenomena that has merely magnitude and no defined direction. Scalars include things like speed, mass, electrical resistance, and hard-drive storage capacity.
To know more about vector visit:
https://brainly.com/question/29740341
#SPJ4
Complete question is:
Which pairs conditions? from the following list satisfy the given conditions? (Select all that apply.) vectors a 3 i k, b i j 2k, J k, d -i j k 6i (a) Are perpendicular? (a a and b a and c a and d band band d c and d none of these (b) Are parallel (a a and b a and c a and d band band d c and d none of these (c) Have an angle less than TV2 between them? (a a and b a and c a and d band b and d c and d none of these (d) Have an angle more than n/2 between them? nd b a al a and c a nd d al band b and d c and d none of these
which of the following comes from conservation of energy? the continuity equation. both the continuity equation and bernoulli's equation. neither the continuity equation nor bernoulli's equation. the bernoulli equation.
Bernoulli's equation is based on the law of energy conservation, whereas the equation of continuity is based on the law of mass conservation.
What is conservation of energy Bernoulli equation?Bernoulli's equation can be thought of as a law of conservation of energy for a flowing fluid. We saw that Bernoulli's equation arose from the fact that any extra kinetic or gained by a fluid system is produced by external work done on the system by another non-viscous fluid.Bernoulli's principle is based on the notion of energy conservation. The sum of all forms of mechanical energy in a fluid along a streamline is the same at all points along that streamline in a constant flow. This necessitates keeping the total of kinetic and potential energy constant.All incompressible fluid flow problems are solved using the Bernoulli equation. The Bernoulli equation can be used to calculate flow in open channels and within tubes using instruments such as the orifice metre, Venturi metre, and Pitot tube.
To know more about conservation of energy visit:
https://brainly.com/question/13949051
#SPJ4
the video showed two clips of a cyclist moving along a stretch of pavement. in each clip, the video showed two clips of a cyclist moving along a stretch of pavement. in each clip, the cyclist moved at a uniform speed throughout. the cyclist steadily changed speed throughout. the cyclist had periods of changing speed as well as periods of uniform motion.
If the cyclist goes at a constant speed throughout one clip and changes speed slowly in another, it cannot be both at the same time.
What is velocity?Velocity is a vector representation of an object's or particle's displacement with respect to time. The meter per second (m/s) is the standard unit of velocity magnitude (also known as speed). Alternatively, velocity magnitude can be expressed in centimeters per second (cm/s). The direction of movement of the body or item is defined by velocity. Speed is fundamentally a scalar number. Velocity is, in essence, a vector quantity. It is the pace at which distance changes. It is the displacement rate of change. The velocity of an object is the rate at which its location changes in relation to a frame of reference and is a function of time. Velocity is a statement of the speed and direction of motion.
To know more about velocity,
https://brainly.com/question/14343871
#SPJ4
Two 3.0-g aluminum foil balls hang from 1.0-m-long threads that are suspended from the same point at the top. The charge on each ball is +4.0×10−9 C.
a) Determine the angle between the threads. Assume the gravitational force is much greater than the electrostatic force.
b) Determine the tension force exerted by the string.
Two 3.0 g aluminium foil balls are hung from the same position at the top by 1.0 m long threads. Each ball has a charge of +4.0109 C.
How are data measurements made?
The measurement of the information content of things like occurrences, variable, and distributions is a fundamental idea in information theory. Probabilities must be used to quantify the amount of information, which is why information theory and probability go hand in hand.
What is a quantify example?
It is challenging to put a number on intellect. The dangers of smoke have been quantified by medical professionals. The quantity of websites accessible over the Internet cannot be determined.
To know more about position visit:
https://brainly.com/question/14448056
#SPJ4
What is the best description of thermal energy 
americium-241 is a radioactive isotope used in household smoke detectors. it decays by alpha decay. which of the following describes the properties of this radiation?
The radioactive isotope americium-241 decays by alpha emission in one popular variety of home smoke detector. Due to their charge, the alpha particles generate a modest electrical current.
Why are americium-241 smoke detectors used?Ionization chamber smoke detectors' americium-241 causes the air in the detecting chamber to conduct electricity. Smoke disrupts the electrical current in the sensing chamber when it enters, sounding the alarm on the smoke detector.
What occurs during americium-241's alpha decay?An atom of americium-241 will emit an alpha particle on its own. Two protons and two neutrons joined together make up an alpha particle, which is the same as a helium-4 nucleus. The americium-241 atom changes into a neptunium-237 atom when it emits the alpha particle.
To know more about electricity visit:-
https://brainly.com/question/12791045
#SPJ4
find the amount of work wba done by the electrostatic force on the charged particle as it moves along the straight path from b to a.
The amount of work done by the electrostatic force on the charged particle as it moves along the straight path from B to A is equal to the force of the electrostatic field, multiplied by the displacement of the particle along the path.
Mathematically, this can be represented as WBA = F * d, where F is the electrostatic force and d is the displacement of the particle.
Work is a concept used in physics to describe the transfer of energy from one object to another. It is defined as the force applied over a distance and is usually measured in joules (J). When a force acts on an object, it causes the object to move or to change its shape, and this energy is transferred from the force to the object.
Work can be positive, in which case the object gains energy, or negative, in which case the object loses energy. Work can also be done on an object without it actually moving, such as when a force is applied to stretch or compress the object.
Learn more about the work:
https://brainly.com/question/3200805
#SPJ4
if you take a super bouncy ball and drop it from a height of 5m, where does it get the energy to bounch up from the groyund
The energy that allows a super bouncy ball to bounce up from the ground after being dropped from a height of 5m comes from the potential energy that was stored in the ball when it was elevated.
When the ball is dropped, it gains kinetic energy as it falls, and when it strikes the ground, that kinetic energy is transformed into other forms of energy, including thermal and elastic energy. The elastic energy stored in the ball's compressed material then pushes it back up into the air, converting back into kinetic energy as it rises and then potential energy as it reaches its peak height. The ball continues to lose energy to thermal and other forms, causing it to eventually lose enough energy to stop bouncing.
Learn more about potential energy:
brainly.com/question/24284560
#SPJ4
shows a container with a cross section area of 15 cm2 in which a layer of water floats on top of a layer of mercury. a 1.0 kg wood block with a cross-section area of 10 cm2 floats on the water. the water depth, measured from the bottom of the block, is 25 cm. a pressure gauge at the bottom of the container reads 24 kpa
A conduit with a diameter of 55 cm and an area of 15 cm2 where a layers of water floats over of such a layer of mercury can be used to calculate the volume flow rate.
How do you manually compute volume?The volume is calculated by multiplying the length, breadth, and height. The fact that all of these dimensions measures exactly the same is good news for cubes. As a result, you can multiply any side's length by three. This yields the following formula: Side * Bottom * Side equals volume.
How does water alter as it gets deeper?The gravity of all of the water above presses down on the waters below, creating water pressure. As you descend further into a pool of water, more water is present above, adding to the downward pressure. This is the cause of the rise in water pressure with depth.
To know more about gravity visit :
https://brainly.com/question/29785211
#SPJ4
When inductors are connected in series in a circuit, the total inductance is (where the magnetic fields of each inductor do not affect the others) (Note: Lt= L1+L2+L3...)
The total inductance of inductors connected in series in an electrical circuit is equal to the sum of the individual inductances, with no mutual interaction between the magnetic fields of each inductor.
Mathematically, this can be represented as
Lt = L1 + L2 + L3 + ..., where Lt is the total inductance and L1, L2, L3, etc.
are the individual inductances. This equation assumes that the magnetic fields of each inductor do not interact with each other and that the current passing through each inductor is the same. The total inductance of a circuit is an important factor in determining its behavior, as it affects the amount of energy stored in the magnetic field and the rate at which this energy is transferred to other parts of the circuit.
Read more about Inductors:
https://brainly.com/question/16765199
#SPJ4
A satellite is launched in a direction
parallel to the surface of the earth with a
velocity of 36900 km/h from an altitude of 500
km.
Determine (a) the maximum altitude reached
by the satellite, (b) the periodic time of the
satellite.
The maximum altitude reached is 500 km.
The periodic time of the satellite is 1.175 hour.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
The velocity of the satellite in a direction parallel to the surface of the earth is = 36900 km/h.
There has no component of initial velocity along vertical direction.
Hence, the maximum altitude reached = 500 km
and the periodic time of the satellite = 2π×(6400+500)/36900 hour
= 1.175 hour.
Learn more about velocity here:
https://brainly.com/question/18084516
#SPJ1
the ______ fluid power systems can usually provide the best solution where lightweight and easily handled tools are a requirement.
Pascal's law of fluid transfer states that when there is an increase in fluid pressure, the rest of the extrinsic variables also increases.
For example, in a flow of liquid in an orifice, there is a contraction of diameter in the orifice part. The fluid that will go in there increases in pressure and thereby an increase in velocity as well. As per Pascal's law of pressure transmission we know that pressure at a point has many direction, and hence a pressure change at any point in a confined fluid is transmitted throughout the fluid such that the same change occurs everywhere.
Learn more about Pascal’s law here
https://brainly.com/question/4262025
#SPJ4
For a certain experiment;, you must provide the kinetic energy of some object with its uncertainty: (The equation for kinetic energy K = Emv? where m is the mass of the object and v is the object's speed ) To do this, you first measure the mass of the object to be 0.015 kg Due to the limits on precision for mass using scale; you can only measure the mass of an object within an uncertainty of 2.4 grams (so Om-2.4x10 3 kg): In this same experiment; you measure the speed as 10 m/s, but you can only measure the speed with a precision Ov-1.2 m/s_ Hence; the mass and speed you report are m 15 +2.4 g and 10+1.2 m/s, respectively. How would you report the kinetic energy using the error propagation formula given in the introduction (assuming the speed and mass measurements are independent of each other)? Hint; the derivative of kinetic energy with respect to mass dk dm and the derivative of kinetic energy with respect to dK speed MU. (Fll in the blank) 0.75
The kinetic energy is calculated as K = 0.75 J.
What role does the error propagation formula play in kinetic energy measurement?Because it enables the determination of the uncertainty in a physical quantity based on the errors in the measurements used to determine it, the error propagation formula is a crucial tool in physics investigations. The formula calculates the uncertainty in the kinetic energy of an object by accounting for the uncertainty in the mass and speed measurements of the object. In order to account for any limitations in precision in the measurement instruments used, this enables a more accurate representation of the object's kinetic energy. The error propagation formula offers a mechanism to express the uncertainty in a physical measurement and contributes to the precision of scientific findings.
Using error propagation, the uncertainty in kinetic energy is calculated as:
ΔK =[tex]\sqrt{((dK/dm)^2 \times m^2 + (dK/dv)^2 \times v^2)} \\=\sqrt{(0.5 * v^2)^2 \times (2.4 x 10^-3 kg)^2 + (m \times v)^2 \times (1.2 m/s)^2) }= 0.05 J.[/tex]
Therefore, the reported kinetic energy and its uncertainty is 0.75 ± 0.05 J.
To know more about Error Propagation visit: brainly.com/question/29632559
#SPJ4
calculate the heat lost by the hot water using your results for experiment 3: measuring the enthalpy of fusion of water. heat must be expressed in kilojoules (kj). q
According to the specific heat capacity, heat lost by hot water is 7.3986 KJ by measuring enthalpy of fusion.
The definition of specific heat capacityThe amount of energy needed to raise the temperature of one gram of a substance by one degree Celsius is known as the specific heat capacity. It uses joules or calories per gram per degree Celsius as its units.
It is varied for each state of matter and changes with temperature. Among all common substances, liquid water has the highest specific heat capacity. A substance's specific heat capacity is unlimited when it transitions between phases; it is highest for gases and can increase if the gas is allowed to expand.
It is given by the formula ,
Q=m × c × ΔT
Here, m = 30 g ,
c = 4.18 J/g° C,
final temperature = 60°C,
initial temperature = 1° C.
Substitution in above formula gives,
Q = 30 × 4.18 × (60-1) = 7398.6 J or 7.3986 KJ.
Hence , the heat lost by water is 7.3986 KJ.
To learn more about specific heat capacity from given link
https://brainly.com/question/14283915
#SPJ4
Complete question -
Calculate the heat lost by the hot water using your results for Experiment 3: Measuring the Enthalpy of Fusion of Water. Heat must be expressed in kilojoules (kJ). Q= (4.18 J/g °C) x (1 kJ/1000 J) x mass of water (g) x ΔT where mass of water=30 g c=4.18 J/g°C final temperature=60°C,initial temperature=1° C.
fill in the blank. at most times, mars appears to move ___relative to the stars. the exceptions are during its periods of apparent retrograde motion, when mars appears to move ___relative to the stars.
The most of the time, mars seems to be moving left (eastward) in relation to the stars. The only circumstances of anomaly case are when mars appears to be in retrograde motion, then mars move to the right (westward) in relation to the stars.
Why does Mars sometimes appear to moving toward the west in the sky when opposed to the stars?The illusion of planets (and other objects) traveling backward in the sky is a result of how our solar system's celestial bodies orbit the Sun at differing velocities and distances. Superior planets that lie outside the Earth's orbit, like Mars, are probably the easiest to visualise in this way.
Is Mars angular to the stars?The Red Planet normally moves eastward from night to night in reference to the nearby stars, although for a few months every two years, Mars appeared to turn around and travel back west.
Learn more about retrograde motion here:
brainly.com/question/15902267
#SPJ4
calculate the mass of forsterite that contains a trillion magnesium atoms. be sure your answer has a unit symbol if necessary, and round it to significant digits.
The mass of forsterite that contains a trillion magnesium atoms is [tex]2.35*10^{-10g}[/tex]
What is forsterite?Forsterite is a mineral species composed of magnesium silicate (Mg2SiO4). It is a mineral composed of magnesium, silicon, and oxygen, with the chemical formula (Mg2SiO4).
What are some properties of forsterite?Forsterite has a bright green color and is often used as a gemstone in jewelry. It has a hardness of 7 on the Mohs scale and a high melting point, making it useful in high-temperature industrial applications.
First we can calculate molar mass by:
Forsterite molar mass [tex]=2*Mg+Si+4*0=2*24.31+28.09+4*16.00=140.48g/mol[/tex]
Then we can find:
[tex]N=1*10^{12} atoms/6.022*10^{23} atoms/mol=1.67*10^{-12}mol[/tex]
Finally, we can find the mass of forsterite:
mass [tex]=N*molar mass=1.67*10^{-12} mol*140.48g/mol=2.35*10^{-10g}[/tex]
Therefore, the mass of forsterite that contains a trillion magnesium atoms is [tex]2.35*10^{-10g}[/tex]
To know more about silicon visit:
brainly.com/question/28213172
#SPJ4
1.43 In a gas, if doubly ionized negative ions move to the right at a steady rate of 362 x 10 ions per minute and if singly ionized positive ions move to the left at a steady rate of 5.83 x 102" ions per minute. find the current to the right. Ans -3.49 A
The current to the right is -725.9988 mA and this means that it is flowing in the opposite direction to the left.
What is current?Electric current is described as a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space which is measured as the net rate of flow of electric charge through a surface or into a control volume.
Current = Charge x Rate of flow of charges
Rate of flow of charges = Total rate of flow of negative charges - Total rate of flow of positive charges
The total rate of flow of negative charges is 362 x 10^6 ions per minute and the total rate of flow of positive charges is 5.83 x 10^2 ions per minute.
Rate of flow of charges = 362 x 10^6 - 5.83 x 10^2 = 361.9994 x 10^6 ions per minute
And the charge on each ion is -2e
Therefore, the current can be calculated as:
Current = -2e x 361.9994 x 10^6 = -725.9988 x 10^6 Coulombs per minute = -725.9988 mA (milliamperes)
Learn more about current at: https://brainly.com/question/25922783
#SPJ1
Which of the following compounds would require a Lewis structure that shows electrons were transferred (ionic) instead of being shared (covalent)?A. A l 2 S 3 B. N O 2 C. C O 2 D. S F 6
A Lewis structure that shows electrons were transferred (ionic) would be required for the following compound: A. Al2S3
The other compounds listed are covalent, meaning the electrons are shared between the atoms in the compound: NO2, CO2 and SF6.
What is the difference between lewis and covalent structure?Lewis structures are diagrams that show the distribution of electrons in a molecule or ion. They help visualize the electron distribution and bonding arrangements in a molecule. Covalent bonds, on the other hand, are bonds in which two atoms share electrons.
How do we draw lewis and ionic structures?In a Lewis structure, the sharing of electrons between atoms is represented by a line or a pair of dots, whereas an ionic bond is represented by an arrow pointing from the electron-donating atom to the electron-accepting atom.
To know more about lewis, visit here:
https://brainly.com/question/15570523
#SPJ4
a compact car has a mass of 1170 kg. assume that the car has one spring on each wheel, that the springs are identical, and that the mass is equally distributed over the four springs.
If the compact car has a mass of 1170 kg and is equally distributed over the four springs, then each spring will support a mass of approximately 1170 kg / 4 = 292.5 kg. Then by Hooke's law force exerted on each spring can be calculated.
According to Hooke's law the force exerted by a spring is proportional to its compression or extension, by a constant of proportionality which is known as the spring constant.
F = k * x
where F is the force, k is the spring constant, and x is the compression or extension of the spring. It is a known principle in mechanics.
Hooke's law is defined as a fundamental concept used in the design and analysis of mechanical systems. It is widely used in engineering and physics.
To know more about Hooke's law refer to-
brainly.com/question/29126957#
#SPJ4
Design an approximate voltage source from a current source and a resistor in parallel with it. The open circuit voltage should be 5.0 volts, and it should drop to no lower than 4.9 volts when a 100load is attached. What is the short-circuit current IN and parallel resistanceRN?
To design an approximate voltage source from a current source, we can use Ohm's law. The short-circuit current IN = infinity and parallel resistance RN = R.
The open-circuit voltage should be 5.0 volts, so we can calculate the resistance needed to maintain that voltage as: R = V / I, where V is the open-circuit voltage, I is the current, and R is the resistance. The resistance should be no lower than 4.9 volts when a 100 load is attached, so the current through the resistance should be: I = V / R = 4.9 / R. To determine the short-circuit current IN, we can set the resistance to zero, resulting in IN = 5.0 / 0 = infinity. The parallel resistance RN can be calculated as: RN = R || (1 / (1 / 100) + 1 / R) = R.
Learn more about Ohm's law:
brainly.com/question/1247379
#SPJ4
HELP PLEASE IM GIVING BRIANLEST AND POINTS!!!!
According to Ohms law, the current in a circuit is the ratio of its voltage to the resistance across the circuit. The resistance of the circuit is 4 ohms with 24 v. Then the current is 6 A.
What is Ohm's law?Ohm's law is one of the fundamental law in physics. It states that, the voltage over a circuit is the product of the resistance and current through the circuit.
hence, V = IR
Therefore, the voltage through a circuit is directly proportional to the current and resistance through the circuit. As the resistance increases, current through the circuit decreases.
The voltage in the cell = 24 V
Resistance = 4 Ω
current I = V/R
I = 24 V/ 4 Ω = 6 A.
Therefore, the current through the resister R1 is 6 A.
Find more on resistance:
brainly.com/question/29427458
#SPJ1
A turntable must spin at 33.3 rev/min (3.49 rad/s) to play an old-fashioned vinyl record. How much torque must the motor deliver if the turntable is to reach its final angular speed in 1.40 revolutions, starting from rest? The turntable is a uniform disk of diameter 30.5 cm and mass 0.270 kg
The torque in a uniform desk of diameter 30.5 cm and mass 0.270kg will be 2.076 × 10⁻³ Nm.
What is Torque?Torque can be defined as the rotational equivalent of the linear force. Torque is also referred to as the moment of any force. Torque represents the capability of a force to produce change in the rotational motion of the object.
I = mR²/ 2
As we already know, kinematics equation is:
ωf² = ωi² + 2αΔQ
Therefore, α = (ωf² - ωi²)/ 2ΔQ
Here, ωf = 3.49 rad/s, d = 30.5 cm
ωi = 0, m = 0.270kg
d = 30.5 cm
R = d/2 = 30.5/ 2 = 15.25cm
R = 15.25 × 10⁻² meters
τ = Iα
τ = [(0.270 × (0.1525)²]/2 × [(3.49)² - (0)²/ 2×1.40×2π]
τ = 0.003 × 0.692
τ = 0.002076 Nm
Therefore, the torque will be 2.076 × 10⁻³ Nm.
Learn more about Torque here:
https://brainly.com/question/6855614
#SPJ1