The number of formula units would be 2.5 x [tex]10^2^3[/tex]
Formular unitThis is mathematically given as: mole x Avogadro number
Molar mass of the aluminum sulfide (Al2S3) sample = 26.98 x 2 + 32.06 x 3
= 53.96 + 96.18 = 150.14 g/mole
Mole of 62.2 g aluminum sulfide = 62.2/150.14 = 0.4143 moles
Formular unit = 0.4143 x 6.023 x [tex]10^2^3[/tex] = 2.5 x [tex]10^2^3[/tex]
More on formula units can be found here: https://brainly.com/question/21494857
#SPJ1
Determine the value of n so that the vectors A and B are perpendicular: Ā = î + 5j + nk and B = 2î - j + k
If [tex]\vec A[/tex] and [tex]\vec B[/tex] are perpendicular, then their dot product is zero. This means
[tex]\vec A \cdot \vec B = (\vec\imath + 5\,\vec\jmath + n\,\vec k) \cdot (2\,\vec\imath - \vec\jmath + \vec k) = 2 - 5 + n = 0[/tex]
Solving for n is trivial; it follows that n = 3.
A force of 10 newtons acts in a direction 75° above horizontal, moving an object 15 meters from (0, 0) to (15, 0). what is the work done by the force?
Work done by the force is 150 Joules.
Steps involved in the question:
Step one:
Given data
Force F= 10N
the distance is described by the coordinate = (0,0) to (15,0)
hence the distance = 15m in the x-direction.
Step two:
Required is the work done
we know that work done is expressed as
Wd= Force* Distance
Wd= 10*15
Wd= 150 Joules
To learn more about work done refer : https://brainly.com/question/25573309
#SPJ4
Gravity is the attractive pull between two objects that have mass. The strength of the gravitational distance. As distance between the objects increases, the force of gravity decreases. If the distance
one-fourth as strong as before. Which one of the graphs best represents the relationship between
pull is doubled,
gravity and distance. depends
on mass and the force of gravity is
A. A
B. B
C. C
D. D
Sorry for the bad picture right now i dont have to take a nice picture
Graph A best represents the relationship between pull is doubled, gravity and distance. depends on the mass and the force of gravity. Option A is correct.
What is Newton's law of gravity?Newton's law of gravity states that each particle having mass in the universe attracts each other particle with a force known as the gravitational force.
The expression for the gravitational force is given as;
[tex]\rm F = G\frac{Mm}{r^2}[/tex]
Gravitational force is proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance.
Decreasing the distance would increase the gravity of the planet.
Gravity is the attraction force that draws two mass-containing objects together. the gravitational distance's strength.
The force of gravity weakens as the distance between the items rises. if the separation is just one-fourth as great as previously. In the graph, the link between pull and doubled is best represented by A.
Hence option A is correct.
To learn more about Newton's law of gravity refer to the link;
https://brainly.com/question/13428472
#SPJ1
A standing wave measures 0.25 m between nodes and its frequency is 1500 hz. what is the standing wave's speed?
380 m/s
750 m/s
1500 m/s
Answer:
[tex]750\; {\rm m\cdot s^{-1}}[/tex].
Explanation:
The distance between two adjacent nodes of a standing wave is equal to one-half (that is, [tex](1/2)[/tex]) the wavelength of this wave.
Let [tex]\lambda[/tex] denote the wavelength of the standing wave in this question. The distance between two nodes of this wave is [tex]0.25\; {\rm m}[/tex], meaning that [tex](1/2)\, \lambda = 0.25\; {\rm m}[/tex]. Thus, [tex]\lambda = 2 \times 0.25\; {\rm m} = 0.50\; {\rm m}[/tex].
Given that [tex]f = 1500\; {\rm Hz}[/tex] is the frequency of the waves that formed this standing wave, the speed of these waves would be:
[tex]\begin{aligned}v &= \lambda\, f \\ &= 0.50\; {\rm m} \times 1500\; {\rm Hz} \\ &= 0.50\; {\rm m} \times 1500\; {\rm s^{-1}} \\ &= 750\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
A transformer has two coils. Coil A has 75 turns and coil B has 100 turns. In the first instance, coil A is used as the primary coil, which is connected to an ac current source. As a result, the peak voltage of the secondary coil, B, has a value VP. Then, coil B is used as the primary coil and coil A becomes the secondary coil. The ac current source is then adjusted to deliver the same current to coil B as it did to coil A in the first instance. For this case, how does the peak voltage of the secondary coil, A, compare with VP.
The peak voltage based on the information given will be 1.33V.
How to calculate the voltage?From the information given, Coil A has 75 turns and coil B has 100 turns.
The voltage will be:
IVa = IVb
We will then substitute the values. c
V = 100/75
V = 1.33V
Therefore, the peak voltage based on the information given will be 1.33V.
Learn more about voltage on:
brainly.com/question/1176850
#SPJ12
According to current evidence, Pluto is best described as ________. an escaped moon of Jupiter or Saturn a large member of the Kuiper belt a small jovian planet a terrestrial planet that is surprisingly far from the Sun
pluto is best decribed as smallest planet
which blu-ray standard defines rewritable disks?
The blu-ray standard that defines rewritable disks is BD-RE which stands for Blu-ray Disc Recordable.
What is BD-RE?
BD-RE stands for Blu-ray Disc Recordable and it refers to two direct to disc optical disc recording technologies that can be recorded on to a Blu-ray-based optical disc with an optical disc recorder.
Thus, the blu-ray standard that defines rewritable disks is BD-RE which stands for Blu-ray Disc Recordable.
Learn more about blu-ray here: https://brainly.com/question/16794951
#SPJ11
What is the total amount of charge and energy, respectively, that the capacitor will store if it is connected to the battery on the railcar?.
The total amount of charge and energy will be 1.20 C and 7.20 J respectively
What is a capacitor?A capacitor is a device that can store electrical energy. It is a two-conductor configuration separated by an insulating medium that carries charges of equal size and opposite sign.
An electric insulator or vacuum, such as glass, paper, air, or a semiconductor termed a dielectric, can be used as the non-conductive zone.
Given data;
Voltage,V= 12V
Capicitance,C=100mF = 100 × 10⁻³ F
The total amount of charge is;
Q=CV
Q=100 × 10⁻³ × 12 V
Q=1.20 C
The energy stored by the capacitor;
[tex]\rm U = \frac{1}{2}CV^2 \\\\ \rm U = \frac{1}{2}\times 100 \times 10^{-3} \times (12 \ V)^2 \\\\ U= 7.20 \ J[/tex]
The energy stored by a capacitor will be 7.20 J.
Hence, the total amount of charge and energy will be 1.20 C and 7.20 J respectively
To learn more about the capacitor, refer to the link: https://brainly.com/question/14048432
#SPJ1
Against the park ranger's advice, a visitor at a national park throws a stone horizontally off the edge of a 83 m high cliff and it lands a distance of 93 m from the edge of the cliff, narrowly missing a visitor below.
What was the initial horizontal velocity of the rock, in m/s? You can round your answer to the hundredths place and use g ≈ 10 m/s2.
Answer:
20.37m/s
Explanation:
For this problem, we'll need a basic kinematic equation for both directions
Vertical direction:
[tex]y(t)=\frac{1}{2}a_{y}t^{2}+v_{o_y}t+y_{o}[/tex]
Knowing that the acceleration in the y-direction is due to gravity, and is constant near the surface of the Earth, where the rock is being thrown, we get [tex]a_{y}=g=-10m/s^{2}[/tex]. We're also given that the initial vertical height is 83m, so [tex]y_o=83m[/tex]. Additionally, we're given that the stone is thrown horizontally, and thus initially, it has no vertical velocity. Only velocity in the x-direction. Thus, [tex]v_{o_y}=0m/s[/tex]. Substituting known values into our equation:
[tex]y(t)=\frac{1}{2}(-10)t^{2}+(0)t+(83)[/tex]
[tex]y(t)=-5t^{2}+83[/tex]
This equation is true for all times until the acceleration changes (isn't constant... i.e. when it hits the ground).
What now?
We want to find the specific time when it does hit the ground. Why? Because this is the point in time where we know some extra information about what is happening in the x direction, and that will help us deal with the x-direction equation.
When the stone does hit the ground, the output of this function (measuring the height of the stone) is zero, which leaves only one unknown value, t... the time associated with that y: the time that it takes to hit the ground:
[tex]0=-5(t_{ground})^{2}+83\\-83=-5(t_{ground})^{2}\\\frac{-83}{-5}=(t_{ground})^{2}\\16.6=(t_{ground})^{2}\\\sqrt{16.6}=\sqrt{(t_{ground})^2}\\4.074309757seconds=t_{ground}[/tex]
Again, this is the time that the stone hits the ground. Knowing how special this time is, one might give it a special subscript to keep track of it.
[tex]t_{ground}=4.074309757seconds[/tex]
Horizontal direction
Reusing the basic kinematic equation for the horizontal direction:
[tex]x(t)=\frac{1}{2}a_{x}t^{2}+v_{o_x}t+x_{o}[/tex]
Note that in the horizontal direction, there is no acceleration (after the rock is released), so [tex]a_{x}=0[/tex]. Also, if we define the base of the cliff as our origin, then at the top of the cliff where the rock is released, the initial x-position is still zero, aka, [tex]x_{o}=0[/tex]
[tex]x(t)=\frac{1}{2}(0)t^{2}+v_{o_x}t+(0)\\x(t)=v_{o_x}t[/tex]
While we don't know the initial horizontal velocity, we do know an output of the function for one specific input... we know that when the stone hits the ground, that the stone's horizontal distance is 93m from the cliff. So, if we input [tex]t_{ground}[/tex] into this function, it will give an output of 93. The only remaining unknown is the initial velocity in the x direction. One equation, one unknown, we can solve this:
[tex]x(t_{ground})=v_{o_x}t_{ground}\\83=v_{o_x}(4.074309757)\\\frac{83}{4.074309757} =v_{o_x}\\20.37154879m/s =v_{o_x}\\[/tex]
If there were a component of initial velocity in the y direction, we would need to use the Pythagorean theorem to combine them. However, as the initial y component of velocity is zero, the initial velocity is simply the initial x velocity.
Paying attention to directions, round to the answer to the nearest hundredth:
[tex]20.37m/s =v_{o}\\[/tex]
A circuit consists of three resistors and a 3.50 V battery. Two of the resistors have known resistances of 5 Ω and 10 Ω respectively. The third resistor has an unknown resistance. When the battery is connected to the circuit, the current running through the battery is measured to be 10 A.
a. Calculate the resistance of the unknown resistor.
b. Draw the circuit and label each component.
The resistance of the unknown resistor is determined as 0.39 ohms.
Equivalent resistance of the circuitThe total resistance of the circuit is calculated as follows;
V = IR
R = V/I
R = (3.5)/10
R = 0.35 ohms
The resistors are in parallel arrangement
1/R = 1/R₁ + 1/R₂ + 1/R₃
1/0.35 = 1/5 + 1/10 + 1/R₃
100/35 = 3/10 + 1/R₃
20/7 = 3/10 + 1/R₃
1/R₃ = 20/7 - 3/10
1/R₃ = (200 - 21)/70
1/R₃ = 179/70
R₃ = 70/179
R₃ = 0.39 ohms
Learn more about parallel resistors here: https://brainly.com/question/24155667
#SPJ1
what is the global food supply
Answer:
The food supply chain comprises all the stages that food products go through, from production to consumption
Explanation:
You are riding a bicycle you apply forward force of 50 n, and you and the bicycle have a combined mass of 100kg. What is the acceleration of the bicycle?
Answer:
a = 0.5m.s²
Explanation:
Fnet = m×a
50 = 100×a
a = 0.5
What is the smallest time interval in which a 5.7 T magnetic field can be turned on or off if the induced emf around the patient's body must be kept to less than 0.12 V ?
The smallest time interval in which the magnetic field can be turned on or off to induced the emf is 47.5 s.
Emf induced in the coil
The emf induced in the coil is calculated as follows;
emf = dФ/dt
where;
dФ is change in fluxdt is change in time0.12 = 5.7/dt
dt = 5.7/0.12
dt = 47.5 s
Thus, the smallest time interval in which the magnetic field can be turned on or off to induced the emf is 47.5 s.
Learn more about emf here: https://brainly.com/question/13744192
#SPJ11
When you see a figure, how do you know that it's representing a vector?
The way you will know that a figure represents a vector is that it will have magnitude and direction.
How to Identify a Vector?A figure that is a vector will typically have magnitude and direction. This means that it will be represented by an arrow(s) with its' magnitude also showing.
Whereas, on the opposite side, the figure is termed as a scalar if it doesn’t have a direction.
Thus, we can know a vector diagram if the magnitude and direction are indicated.
Read more about Vectors at; https://brainly.com/question/3184914
#SPJ12
modern observations have shown that the geometry of the universe is ____.
Modern observations have shown that the geometry of the universe is flat and the universe mist be infinite.
What is geometry?Geometry refer to a branch of mathematics that encapsulates measurements of lines, shapes, dimensions, points and shapes.
Therefore, Modern observations have shown that the geometry of the universe is flat and the universe mist be infinite.
Learn more about geometry below.
https://brainly.com/question/19241268
#SPJ11
in which area of the galaxy would you find stars with fairly circular orbits about the galactic center?
Stars with fairly circular orbits about the galactic center is found in the disk
What are stars?Stars are one of the astronomical object that is usually very bright.
A circular orbit star is a star that moves in circular direction and not elliptical orbit which is most common to starts.
Therefore, Stars with fairly circular orbits about the galactic center is found in the disk
Learn more on orbit below
https://brainly.com/question/18496962
#SPJ11
the range of diameters and luminosities displayed by elliptical galaxies is ____.
The range of diameters and luminosities displayed by elliptical galaxies is 3000 to 700,000 light years and Mv-23 down to Mv- -16 mag respectively
What are elliptical galaxies?Elliptical galaxies are type of galaxies with a smooth ellipsoidal shape.
They are the most abundant galaxies in the universe.
Their diameter ranges from 3, 000 to 700, 000 light years.
Their luminosity ranges from Mv-23 down to Mv- -16 mag
Therefore, the range of diameters and luminosities displayed by elliptical galaxies is 3000 to 700,000 light years and Mv-23 down to Mv- -16 mag respectively.
Learn more about elliptical galaxies here:
https://brainly.com/question/24985948
#SPJ11
If a volume of air is warmed, it expands and tends to
if a volume of air is warmed it expands due to increased translational kinetic energy as it expands it will start to cool.
When does temperature increase volume?We can then conclude that at constant pressure, temperature and volume are directly proportional: temperature increases, volume increases; decrease temperature, decrease volume.
In this case, the higher the temperature, the greater the kinetic energy that acts on the molecules of this gas, so when the gas expands, these molecules find more space and collide less, which will cause the gas to cool.
See more about volume at brainly.com/question/1578538
#SPJ12
a cyclist applies a constant forward force of 20 N to maintain a velocity 2.5 m/s. how much power does the cyclist deliver?
The power exerted by the cyclist is determined as 50 W.
Average power exerted by the cyclist
The power exerted by the cyclist is calculated as follows;
P = FV
where;
F is the applied forceV is velocityP = 20 x 2.5
P = 50 W
Thus, the power exerted by the cyclist is determined as 50 W.
Learn more about power here: https://brainly.com/question/25263760
#SPJ1
A metal wire, initially 1.000m long, extends by 4mm when a loaded of 2N is added to it. What will the length of the wire be if a further 3N is added, assuming it does not extend beyond its limit of proportionally?
Explanation:
you should first find the proportionality constant or the spring constant(as we see it as a spring).the find the value of x so that the force is 3N
A proton moves in the negative x-direction through a uniform magnetic field in the negative y-direction what is the direction of the magnetic force acting on the proton?
out of the page
into the page
in the positive y-direction
in the negative y-direction
a car with a mass of 2,00 kg travels a distance of 400 m as it moves from one stoplight to the next . as its fastest , the car travels at 18 m/s. what is its kinetic energy at this point?
Answer:
32400 J
Explanation:
K.E.=(1/2)(200)(18^2)
What is the density of an 84.7g sample of an unknown substance if the sample occupies 49.6 cm^3?
Answer:
1.708 g/cm^3
Explanation:
Density = mass/volume
= 84.7 g / 49.6 cm^3 = 1.708 g/cm^3
ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements. City B is south of City A, and the 200 mile trip by car takes 4 hours. The cities are 120 miles apart in a straight line. What is the velocity of a trip from City A to City B?
The velocity of a trip from City A to City B is 30 miles per hour.
What is velocity?The term velocity is defined as the ratio of displacement to time. Displacement refers to the distance that is covered in a specified direction.
Now given that the straight line distance from A to B is about 120 miles. hen it follows that the velocity of a trip from City A to City B is obtained from; 120 miles/ 4 hours = 30 miles per hour.
Learn more about velocity:https://brainly.com/question/18084516?
#SPJ1
A mother and her 35.0 -kg child are riding an escalator to the third level of a shopping mall. If the child's gravitational potential energy increases by 3773 J, determine the increase in potential energy of his mother if her mass is 56.0 kg.
The increase in potential energy of his mother if her mass is 56.0 kg will be 6031.97 J.
What is gravitational potential energy?The energy that an item has due to its location in a gravitational field is known as gravitational potential energy.
The potential energy increases by 3773 J
PE₂-PE₁=mg(h₂-h₁)
3773 J = 35.0 × 9.81 × (h₂-h₁)
(h₂-h₁) = 10.98
Case 2 ;
ΔPE =?
ΔPE=mg(h₂-h₁)
ΔPE=56.0 × 9.81 ×10.98
ΔPE=6031.97 J.
Hence, the increase in potential energy of his mother if her mass is 56.0 kg will be 6031.97 J.
To learn more about the gravitational potential energy, refer;
https://brainly.com/question/3884855#SPJ1
#SPJ1
To identify a satirical tone, look for words an author uses to exaggerate a particular character behavior to make that person appear ridiculous to the reader. A. True. B. False
To identify a satirical tone, look for words an author uses to exaggerate a particular character behavior to make that person appear ridiculous to the reader. The statement is True.
What is character?What a person thinks upon a situation and get through it makes the character of a person and defines his behavior.
Given is a statement "To identify a satirical tone, look for words an author uses to exaggerate a particular character behavior to make that person appear ridiculous to the reader".
The words used by the person forms the character. So, the author searches for the word which says about his character but the reader finds it ridiculous.
Thus, the statement is true.
Learn more about character.
https://brainly.com/question/3756907
#SPJ1
A car is moving at a rate of 72km/hr . How far does the car move when it stops after 4 seconds?
step by step asap pls
Answer:
The car will stop after 4 seconds after moving the distance of 0.08km.
Explanation:
The reading above it clearly states that a car is moving at a speed of 72Km/hr. And it asking for the distance the car move when it stops after 4 seconds.
Looking at speed formula , speed=distance÷time.
But in this problem we I finding distance, so in speed formula make distance the subject.
Therefore distance = speed × timeBefore going ahead you should have this in mind the unit for distance is Km and m . Our speed is in Km/hr but our time is in second. In this case change 4 seconds to hour which is 0.00111 hr .you change second to hour because hr will cancel hr when solving for distance giving distance unit Km
Distance = speed × time
Distance= 72km/hr × 0.00111 hr
hour cancel hour
Distance= 72km × 0.00111
Distance = 0.08km
Therefore the car will stop after 4 seconds after moving the distance of 0.08km.
Please mark brainliest.
conversion :
72 km/h = 72 × (1000/3600) = 20 m/s
so, in 4 seconds it travel
4 × 20 = 80 meters = 0.08 kmHydrogen fusion in the Sun requires a temperature (in Kelvin) of Group of answer choices any temperature, as long as gravity is strong enough. millions of degrees. billions of degrees. thousands of degrees.
Any temperature, as long as gravity is strong enough, may cause hydrogen fusion in the Sun, which requires a temperature of millions of degrees. Option A is correct.
What is the helium fusion process?When the temperature in the core hits around 100 million degrees, the helium will begin to fuse into carbon in a mechanism known as the triple-alpha process
Any temperature may result in hydrogen fusion in the Sun, which needs a temperature of millions of degrees, as long as gravity is strong enough.
Hence option A is correct.
To learn more about the helium fusion process, refer to the link;
https://brainly.com/question/12291168
# SPJ1
Anyone able to help with this one? The volume of a gas sample is 550 mL and the pressure is 1.8 atm. What will the new volume of the gas be if the pressure increases to 2.2 atm? Round your answer to the correct number of significant figures.
Answer:
450 ML
Explanation:
Given:
Volume of gas sample: 550 mL Pressure: 1.8 atm plus 2.2 atm
To find:
The new volume of the gas after the pressure increases to 2.2 atm.
___
steps
⇒ [tex]V_1P_1=V_2P_2[/tex]
⇒ [tex](550\text{ml})(1.8\text{atm})[/tex]
⇒ [tex]=(x)(2.2\text{atm})[/tex]
⇒ [tex]x=\frac{(550)(1.8)}{2.2}[/tex]
⇒ [tex]x=450\text{ml}[/tex]
Answer:
V₂ = 450 mL
Explanation:
Because you are dealing solely with pressure and volume, you can use Boyle's Law to find the missing value. The equation looks like this:
P₁V₁ = P₂V₂
In this formula, "P₁" and "V₁" represent the initial pressure and volume. "P₂" and "V₂" represent the final pressure and volume. You have been given values for all of the variables except for "V₂". Thus, you can substitute the given values into the equation and simplify to find the answer. The final answer should have 2 sig figs to match the given values.
P₁ = 1.8 atm V₁ = 550 mL
P₂ = 2.2 atm V₂ = ?
P₁V₁ = P₂V₂ <----- Boyle's Law equation
(1.8 atm)(550 mL) = (2.2 atm)V₂ <----- Plug given values in
990 = (2.2 atm)V₂ <----- Multiply 1.8 and 550
450 = V₂ <----- Divide both sides by 2.2
Two friends leave a movie theater and take different busses to the same ice cream shop. one bus takes a longer route driving on a high-speed highway, while the other takes a shorter route on lower-speed local roads. which friend has the greater displacement?
The friend who has the greater displacement is the one who takes the longest path.
What is displacement?The displacement is the shortest distance travelled by the particle. It is the vector quantity which re[presents both the magnitude and direction.
Given, two friends leave a movie theater and take different buses to the same ice cream shop. One bus takes a longer route driving on a high-speed highway, while the other takes a shorter route on lower-speed local roads.
According to the definition. the displacement is neither larger not shorter but it is the shortest distance traveled by the person or particle.
Thus, friend who has longer path has larger displacement.
Learn more about displacement.
https://brainly.com/question/11934397
#SPJ1
