The mass of magnesium phosphate ppt is 2.432 g.
The net ionic equation is:
3MgCl₂ (aq) + 2Na₃(PO₄) (aq) -----> Mg₃(PO₄)₂ (s) + 3Na⁺ (aq) + 3Cl⁻ (aq)
Mass of magnesium chloride = Molar mass × Moles
= 0.125 × 0.222
= 0.02775g
Mass of sodium phosphate = Molar mass × Moles
= 0.225 × 0.105
= 0.023625g
According to reaction stoichiometry, magnesium chloride is the limiting reagent.
So, moles of magnesium phosphate that will be formed = 0.02775/3 = 0.00925
Hence, mass of magnesium phosphate ppt = Moles × Molecular weight
= 0.00925 × 263
= 2.432 g
Therefore, the mass of magnesium phosphate ppt is 2.432 g.
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The change in internal energy for a given system is –325 j. The system loses 155 j of energy as heat at the same time that it expands from an initial volume of 15. 0 l at 1. 00 atm of pressure. What is the final volume of the system in liters?.
According to internal energy, the final volume is 19.75 liters.
We need to know about internal energy to solve this problem. For a closed system, with matter transfer excluded, the changes in internal energy are due to heat transfer and due to thermodynamic work done by the system on its surroundings. It can be determined as
ΔU = Q - W
where ΔU is the change in internal energy, Q is heat and W is work done.
From the question above, we know that
ΔU = -325 J
Q = 155 J
Vo = 15 L = 0.015 m³
P = 1 atm = 1.01 x 10⁵ Pa
By substituting the given parameter, we can calculate the work done
ΔU = Q - W
-325 = 155 - W
W = 480 joule
Find the final volume
W = P . (Vi - Vo)
480 = 1.01 x 10⁵ (Vi - 0.015)
Vi = 0.01975 m³
Vi = 19.75 liters
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Convert 500 cubic feet into gallons. Round your answer to the nearest whole number.
A satellite is in uniform circular motion around the Moon. What happens to the direction of the acceleration vector during one full orbit?
(1 point)
O The acceleration vector oscillates back and forth.
O The acceleration vector always points inward.
O The acceleration vector always points outward.
O The acceleration vector always points in the direction of motion.
A car travels 40 miles north in the first 40 minutes of a trip. The same car travels 30 miles west in the next 30 minutes of the trip. What can be said about the motion of the car?.
It can be said that the car which travels first at 40 miles in 40 minutes and then 30 miles in 30 minutes is traveling at a constant speed.
The formula and procedure we will use to solve this exercise is:
v = x /t
Where:
x = distancet = timev = velocityInformation about the problem:
t₁ = 40 minx₁= 40 milest₂ = 30 minx₂= 30 milesv₁ = ?v₂ = ?Applying the velocity formula for the first data information of the travel, we get:
v₁ = x₁ /t₁
v₁ = 40 miles /40 min
v₁ = 1 mile/min
Applying the velocity formula for the second data information of the travel, we get:
v₂ = x₂ /t₂
v₂ = 30 miles /30 min
v₂ = 1 mile/min
As we notice v₁ = v₂ that means that the car is traveling with a constant speed during the trip
What is velocity?It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).
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A 51.0 kg boy is standing near the edge of a raft that is floating in a lake. The boy jumps horizontally off the raft with a velocity
of 3.50 m/s. The raft moves in the opposite direciton with a velocity of -7.70 m/s. What is the mass of the raft? Ignore the
resistance caused by the water on the raft.
The boy jumps horizontally off the raft with a velocity of 3.50 m/s. The raft moves in the opposite direction with a velocity of -7.70 m/s.
What is the difference between Mass and Raft?The Department of Housing and Community Development funds the RAFT Program, which prevents homelessness (DHCD). RAFT offers low-income families who are homeless or in danger of homelessness short-term financial support. This force is 67° north of east and has a magnitude of 15 N. Find the x and y components of the raft's acceleration, ignoring any water resistance. The buoyant force on the raft is equal to the weight of the water displaced according to Archimedes' principle.
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A gamma ray of wavelength 1. 00 × 10–8 cm has enough energy to remove an electron from a hydrogen atom. True or false?.
A gamma ray of wavelength 1. 00 × 10–8 cm has enough energy to remove an electron from a hydrogen atom - True.
What are gamma rays?The electromagnetic radiation with the highest energy and shortest wavelength is called a gamma ray.
Since gamma-ray photons have energy greater than tens of millions of electron volts, their wavelengths are often smaller than a few tenths of an angstrom (1010 meter).
The disintegration of an atomic nucleus produces gamma rays, an ionizing form of electromagnetic radiation.
Gamma rays have such a strong penetrating force that they may need to be stopped by several inches of a thick substance, such as lead, or even by several feet of concrete.
Gamma-ray examples include lightning, nuclear explosions, and radioactive decay of naturally occurring radionuclides.
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There is a car traveling 36 Km/h to the west. The concert is 12Km away. How 1 point
long would it take them to get there?
Is this a SPEED or VELOCITY problem?
The Time to get there is 3 hours
The Speed(s) of a car traveling is = 36 km/h west
Distance(d) to the concert is = 12km
Time to get there = t hours
The formulae used are
Speed(s) = Distance(d) / Time(t)
⇒Time(t) = Distance(d) / Speed(s)
⇒ t = 36 / 12
⇒ 3 hours
Hence, the time for the car to get to the concert with a speed of 36km/hr was 3 hours. This is a VELOCITY problem because it involves direction too along with the speed of the car.
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a circular cylindrical post with a circumference of 4 feet has a string wrapped around it, spiraling from the bottom of the post to the top of the post. the string evenly loops around the post exactly four full times, starting at the bottom edge and finishing at the top edge. the height of the post is 12 feet. what is the length, in feet, of the string?
The length of the string wrapped around a circular cylindrical post is 20ft.
We have a circular cylinder and a string wrapped around it.
If we unwrap one complete revolution of string around the post. We have a rectangle. Having a width of 4ft (that is the circumference of the post.)
height of the post is 12 feet
Then height of the rectangle is. 12/4 = 3ft
The string evenly loops around the post exactly four full times, starting at the bottom edge and finishing at the top edge.
So the length of this is the hypotenuse of right triangle sides 3 and 4
then length determined using Pythagoras theorem
L² = 3²+4² = 25
L =√25 =5ft
Here we have three more similar triangles in more 3 revolution.
1 revolution×5+ 3revolution×5
4×5 =20ft
The length of the string wrapped around a circular cylindrical post is 20ft.
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Two gases are contained in gas bulbs connected by a valve. Gas a is present in a 1 liter bulb at a pressure of 818 torr. Gas b exerts a pressure of 328 torr in a 1 liter bulb. The valve is opened and the two gases come to equilibrium. What is the partial pressure of gas a expressed after equilibrium?.
The partial pressure of gas expressed after equilibrium is 409 torr.
Which gas is used for bulbs?Incandescent light bulbs are usually filled with argon, which is a common gas. It prolongs bulb life by keeping the tungsten filaments from decaying too quickly. Lighting also makes use of other gases like helium, neon, nitrogen, and krypton.Incandescent lights are what gas lamps are. They generate heat by burning fuel like propane, white gas, or kerosene, and the heat drives light production from the mantles. The mantles, which are made of a ceramic mesh, contain the lantern's flame.The first kind of gas employed, argon, is a gas that is typically found in incandescent light bulbs. Nitrogen may occasionally be added to argon gas. Halogen or xenon gas can be found in some light bulbs. Some light bulbs also include krypton gas.What is the partial pressure of gas expressed after equilibrium:
1. Write out the units given.
V1= 1 L
Ptot= 818 torr
PPB= 328 torr
V2= 1L
2. Remember= PaVa= PtotVtot
3. Add together volumes for total volumes.
1 L + 1 L= 2 liters
4. Plug in values and solve for PP of gas A.
PPA= Ptot x VA/Vtot
818 torr x 1/2 L= 409 torr
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The gray cube has a density of 4.5 g/cm3. the density of the green cube is _________ that of the gray cube?
The density of the green cube is higher than the density of the gray cube.
What is density?Density can be defined as a ratio of mass to the volume of a physical object such as a metal, gray cube, or tennis ball. Mathematically, the density of a gray cube can be calculated by using this formula:
Density = M/V
Where:
M represents the mass of a physical object.V represents the volume of a physical object.By critically observing the image (see attachment) of these cubes on the scale, we can reasonably and logically deduce that the green cube has a larger mass than the gray cube on the scale, which ultimately implies that its density (mass/volume) ratio is higher.
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Complete Question:
The gray cube has a density of 4.5 g/cm³. Is the density of the green cube the same, lower than, or higher than that of the gray cube? (2.7)
What solution has a pH is closest to neutral?
Hand soap
Chicken soup
Milk
Saliva
Answer:
Saliva
Explanation:
problem 11.003 - mass on a spring - dependent multi-part problem - assign all parts skip to question note: this is a multi-part question. once an answer is submitted, you will be unable to return to this part. the vertical motion of mass a is defined by the relation x
The position, velocity, and acceleration of A
when t= 0.5 s are = 98.748 mm/s², respectively.
Steps of the equation:
This is a multi-part question: Once an answer is submitted, you will be unable to return to this part:
The vertical motion of mass A is defined by the relation x = cos (iot O.1sin (1Of, where x and tare expressed in mm and seconds, respectively:
Consider t = 0.5 s. Problem 11.003.
a Velocity and acceleration of a mass on a spring Determine the position, velocity; and acceleration of A (You must provide an answer before moving to the next part)
The position, velocity, and acceleration of A
when t= 0.5 s are
= -0.379 mm,
= -1.867| mm/s, and
= 98.748 mm/s², respectively
What exactly is a dependency in Spring?Dependency Injection is a key feature of the Spring framework that allows the Spring container to "inject" objects into other objects or "dependencies." Simply put, this allows for loose coupling of components and shifts responsibility for component management to the container.Spring IOC's primary functionality is dependency injection (Inversion of Control). The Spring-Core module is in charge of injecting dependencies via Constructor or Setter methods.To learn more about dependency in Spring refer to
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A cannonball is shot from level ground with a velocity of 240.0 m/s at an angle of 32 degrees. How long does the ball take to hit the ground?
The time of flight is obtained as 25.9 seconds
What is the time of flight?The time of flight is the time taken to move the object that have been projected along the parabolic path. In this case, we have a cannonball that have been fired from level ground with a velocity of 240.0 m/s at an angle of 32 degrees.
We know that from the question
T = 2usinθ/g
T = time of flight
u = initial velocity
θ = angle of projection
g = acceleration
T = 2 * 240.0 m/s * sin 32 degrees/9.8 m/s^2
T = 25.9 seconds
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An car is brought to rest in a distance of 484 m using a constant acceleration of -8.0 m/s2. What was the velocity of the car when the acceleration first began?
The initial velocity of the car was 88m/s
The pace at which an object's direction changes as it is traveling, as observed from a particular viewpoint and as quantified by a certain unit of time, is known as its velocity.
Any object exposed to forces will accelerate. The object's velocity is altered as a result of this acceleration. The speed of the entity prior to the change imposed on by acceleration is therefore known as the initial velocity.
Given:
Final velocity, v = 0m/s
Acceleration, a = -8 [tex]m/s^2[/tex]
Distance covered, d = 484m
To find:
Initial velocity, u = ?
Formula:
[tex]v^2 - u^2 = 2ad[/tex]
Calculations:
Initial velocity, u = [tex]\sqrt{v - 2ad}[/tex]
u = [tex]\sqrt{0 - 2 (8) (484)}[/tex]
u = 88m/s
Result:
The initial velocity of the car was found to be 88m/s.
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A signal contains the following frequencies, 100 hz, 247 hz, and 750 hz. what is the nyquist frequency of the signal?
The nyquist frequency of the signal containing the following frequencies 100hz, 247hz and 750hz is taken to be calculated as 1500 hz.
CalculationThe provided frequencies are as follows:
100hz, 247hz, 750hz
Then the accurate Nyquist frequency can be taken out as
fs = 2 fmax
= 2 (750)
= 1500 Hz
Describe the Nyquist theorem in a few words.The sampling theorem is another name for the Nyquist theorem. The rule is that a pure sine wave measurement, or sample rate, must be at least twice as frequent as the original to be accurately reproduced.
What is the formula for Nyquist’s theorem?Nyquist explains that we can send data at a rate of up to C=2Blog2M bits per second in a channel with no noise. B is seen as the bandwidth (in Hz) and M is the number of signal levels.
The Nyquist frequency formula is what?The Nyquist frequency can be defined as fn = 1/2t. When spectra for digital data are displayed, the highest frequency displayed is the Nyquist frequency.
For an IRIS type of broadband seismic stations, Δt = 0.05 s, so the Nyquist frequency is 10 Hz.
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the smallest unit of charge is −1.6×10−19 c,−1.6×10−19 c, which is the charge in coulombs of a single electron. robert millikan was able to measure the charge on small droplets of oil by suspending them between a pair of electrically charged plates.
Since an electron cannot be fractionalized, any number that is a multiple of 1.6 is true. Therefore, the appropriate options are -3.2x10-19C, -4.8x10^-19C and -8.0x10-19C.
Why -1.2x10^-19C is not possible?Matter's electric charge is what gives it a force when it's in an electromagnetic field, which is its physical property.
Protons and electrons, which act as charge carriers, frequently carry both positive and negative electric charges. Charges moving around in a system produce energy.
-1.2x10^-19C in choices is incorrect even if it is a multiple of 1.6 since it has a fraction of one electron because its charge is less than that of a single electron.
Consequently, the values of 1.2x10-19, 5.6x10-19, and -9.4x10-19 are wrong because they contain fractions of electrons that are impossible to exist.
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a cannonball is shot from a cannon at a launch angle of 63 degrees and an initial velocity of 147 m/s what is the horizontal component of this initial velocity?
The horizontal component of this initial velocity is 26.8 sec
Vy = V sin theta = 147 * sin 63 = 131 m/s
Time to reach zero vertical speed tu= 131 m/s / 9.8 m/s^2 = 13.4 sec
Time for the ball to fall to the original speed
td = 131 m/s 9.8 m/s^2 = 13.4 sec
Total time in air = tu + td = 13.4 s + 13.4 s = 26.8 s
Or 2 * sin 63 * 147 / 9.8 = 26.7 sec
The pace at which an object travels a distance is known as speed, and it is a scalar quantity. The distance (a scalar quantity) per time ratio is the average speed. Speed disregards direction. The instantaneous speed is the upper limit of the average speed as the duration of the time interval approaches zero. The average speed of an item in a period of time is the distance traveled by the object divided by the duration of the period. The meter per second (m/s), the SI unit of speed
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A man walks 20 km in 4 hours. Find his speed.
O 5 km/hr
O2 km/hr
O 10 km/hr
O1 km/hr
Answer: 5 km/hr
Explanation: 20Km / 4 hours is 5km a mile
A weather balloon has a volume of 100L when it is released from above sea level, where the pressure is 101kPa. What will the balloon's volume when it reaches an altitude where the pressure is 43kPa?
Can someone please help me with this and quick??
The volume of the balloon is 234.88L.
What is volume?Volume can be defined as the capacity of a solid shape.
To calculate the volume of the balloon, we use the formula below.
Formula:
PV = P'V'.......... Equation 1Where:
P = Initial pressure of the balloonP' = Final pressure of the balloonV' = Initial volume of the balloonV = Final volume of the balloon
Make V' the subject of the equation
V' = PV/P'................. Equation 2From the question,
Given:
P = 101 kPaV = 100 LP' = 43kPaSubstitute these values into equation 2
V' = 101×100/43V' = 234.88 LHence, The volume of the balloon is 234.88L.
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PLS HELP!! WILL MARK BRAINLIEST
In 3-5 sentences, summarize the balanced forces that are present when a soccer ball is resting on the ground, and the unbalanced forces that are present when a soccer ball is kicked and moves through the air or rolls on the ground.
When the ball is kicked, there is now an unbalanced force that acts on the ball thereby impacting an acceleration.
What are unbalanced forces?We know that according to Newton's laws, an object would remain in its state of rest or a state of uniform motion unless it is acted upon by an external force. This is also known as the law of inertia.
As the ball is kept on the ground, there are two forces that act on the ball;
1) The weight of the ball that act downwards
2) The reaction force on the ball that acts upwards
The two forces are balanced hence the ball remains on the ground.
When the ball is kicked, there is now an unbalanced force that acts on the ball thereby impacting an acceleration.
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Answer:
When the ball is kicked, there is now an unbalanced force that acts on the ball thereby impacting an acceleration.
Explanation:
What are unbalanced forces?
We know that according to Newton's laws, an object would remain in its state of rest or a state of uniform motion unless it is acted upon by an external force. This is also known as the law of inertia.
As the ball is kept on the ground, there are two forces that act on the ball;
1) The weight of the ball that act downwards
2) The reaction force on the ball that acts upwards
The two forces are balanced hence the ball remains on the ground.
When the ball is kicked, there is now an unbalanced force that acts on the ball thereby impacting an acceleration.
Toss a ball upward. What is the change in speed each second
on the way up? On the way down?
Answer:
-9.8m/s force of gravity
Explanation:
If gravity is the only force acting upon the ball, the ball will have a -9.8m/s acceleration.
Answer:
As you throw the ball up into the air, its direction is up, but the speed decreases due to the pull of gravity. The ball slows down, and at the very top of its flight, its velocity at that instant is zero.
On the way down, its speed increases by about 10 m/s each second.
Explanation:
Bob and carol are both observing the moon at exactly the same time. However, bob is in miami and carol is in los angeles. Bob observes the moon in the first quarter phase. In what phase will carol observe the moon to be?.
Bob and Carol are both observing the moon at exactly the same time. However, bob is in Miami and carol is in Los Angeles. Bob observes the moon in the first quarter phase. Carl will also observe the moon in the first quarter phase.
The moon cycle consists of four primary and secondary phases.
The four primary phases are New Moon, First Quarter, Full Moon, and the Last Quarter.
However, people living in different hemispheres see the contemporary phase of the moon from different angles.
The secondary phases of the moon are waxing crescent, waxing gibbous, waning gibbous, and waning crescent.
If a person travels from the southern hemisphere to the northern hemisphere, he will see that the moon is in the same phase as it was at home.
Thus Bob and Carol, living in different cities, will also observe the moon in the same phase i.e. the first quarter phase.
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onur drops a basketball from a height of 10\,\text{m}10m10, start text, m, end text on mars, where the acceleration due to gravity has a magnitude of 3.7\,\dfrac{\text{m}}{\text{s}^2}3.7 s 2 m 3, point, 7, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction. we want to know how many seconds the basketball is in the air before it hits the ground. which kinematic formula would be most useful to solve for the target unknown?
The time the ball spend on the air before reaching the ground is 2.325 seconds.
The kinematic formula would be most useful to solve for the target unknown is
H = ut + ½gt²
Basket ball is drop from height
H=10m
It is dropped on planet mass
And the acceleration due to gravity on Mars is given as
g= 3.7m/s²
Time taken for the ball to reach the ground
Initial velocity of the body is zero
u=0m/s
Using equation of motion: free fall
H = ut + ½gt²
10 = 0•t + ½ × 3.7 ×t²
10 = 0 + 1.85t²
10 = 1.85t²
Then, t² =10/1.85
t² = 5.405
t = √ 5.405
t = 2.325seconds
So the time the ball spend on the air before reaching the ground is 2.325 seconds.
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Onur drops a basketball from a height of 10 m on Mars, where the acceleration due to gravity has a magnitude of 3.7 m/s². We want to know how many seconds the basketball is in the air before it hits the ground.
Which kinematic formula would be most useful to solve for the target unknown?
Answer: Δy = v0t - ½ at²
Why it is not appropriate to use a rubber protection on high voltage cables that exceeds a transmission voltage of 120000V
It is not appropriate to use a rubber protection on high voltage cables that exceeds a transmission voltage of 120000V, because the high voltage transmitted in these lines can cause heating effect on the lines which can melt the rubber used to the coat the lines.
What is high voltage transmission?
High voltage transmission lines deliver electricity over long distances
This high voltage transmission lines transmit power at very high voltage.
The high voltage rating of these transmission lines often cause heating effect on the lines or wires.
The heating effect of the transmission lines can melt rubbers, hence it is not advised or required to use a rubber to cover these high transmission lines.
Thus, it is not appropriate to use a rubber protection on high voltage cables that exceeds a transmission voltage of 120000V, because the high voltage transmitted in these lines can cause heating effect on the lines which can melt the rubber used to the coat the lines.
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problem 11.009 - slowing car - dependent multi-part problem - assign all parts skip to question note: this is a multi-part question. once an answer is submitted, you will be unable to return to this part. the brakes of a car are applied, causing it to slow down at a rate of 13 ft/s2. the car stops at 300 ft.
The velocity of the car before the brakes were applied is 88.32 ft / s
We know that,
a = ( v - u ) / t
s = ut + 1 / 2 a[tex]t^{2}[/tex]
where,
a = Acceleration
v = Final velocity
u = Initial velocity
t = Time taken
s = Displacement
Given that,
v = 0
s = 300 ft
a = - 13 ft / [tex]s^{2}[/tex]
a = ( v - u ) / t
- 13 = ( 0 - u ) / t
t = u / 13
s = ut + 1 / 2 a[tex]t^{2}[/tex]
300 = u ( u / 13 ) + 1 / 2 ( - 13 ) ( u / 13 [tex])^{2}[/tex]
300 = [tex]u^{2}[/tex] / 13 - [tex]u^{2}[/tex] / 26
[tex]u^{2}[/tex] = 7800
u = 88.32 ft / s
Velocity is the rate of change of distance with respect to time. It is denoted by V. Its units are mostly m/s, ft/s etc.
Therefore, the velocity of the car before the brakes were applied is 88.32 ft / s
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"Representing data is not an important part of scientific investigations." Describe why this statement is incorrect.
The reason why the given statement is incorrect is because representing data is an important part of scientific investigations.
A scientific investigation is a method of finding an answer to a question which no one has ever asked before. It is done using various research methods. For this lot of observations are done and then experiments are conducted.
Since a lot of observations and experiments are done, a lot of data is created. Usually more than one experiment is done, because the first one is most likely to be unsuccessful. But that does not mean that it is a waste. Because the mistakes from the first experiment is corrected / altered in the upcoming ones. Since a lot of experiments are done, keeping data of each experiment to alter data in further experiments is an important part of a scientific investigation.
Therefore, the given statement "Representing data is not an important part of scientific investigations" is incorrect.
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1.
Which of the following numbers has two
significant digits?
A. 0.01
B. 0.010
C. 10
D. 10.00
Answer:The answer is B.
Explanation: the 1 and the 0 are the significant digits in 0.010
Give me 5 examples of High heat vaporization
Answer:
ironing clothes, process of sweating, line drying clothes, melting a glass of ice, drying of wet towels
Explanation:
Answer:
Water is vaporized when it is boiled on the stove to cook some pasta, and much of it forms into a thick steam. Water evaporates – Water evaporates from a puddle or a pool during a hot summer’s day.
Explanation:
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it matter which configuration is used from the standpoint of how much force is conveyed to the indicated ‘ground’? answer yes or no from intuition. (b) find expressions that allow you to compare the power dissipated in the damper for each design. use a value of b for the damper, assuming linear damping
The transverse damper could also be used as a diagnostic tool by . A novel energy dissipation system that can achieve the amplified damping ratio.
What is damping ratio?An influence that reduces or prevents oscillation in an oscillatory system is known as damping. Processes that disperse the energy contained in the oscillation in physical systems lead to damping. Examples include viscous drag in mechanical systems, resistance in electrical oscillators, and absorption and scattering of light in optical oscillators. Viscosity of a liquid can impede an oscillatory system, causing it to slow down.
Other oscillating systems, like those found in biological systems and bicycles (for example, the suspension (mechanics) system), can benefit from damping that is not reliant on energy loss. Contrasted with friction, a dissipative force operating on a system, friction is not to be confused with. Dampening can be brought on by friction or contribute to it.
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a 5.00 kg stone is rubbed across the horizontal ceiling of a cave passageway (fig. 6-48). if the coefficient of kinetic friction is 0.65 and the force applied to the stone is angled at u ???? 70.0°, what must the magnitude of the force be for the stone to move at constant velocity?
We take the +x direction to be horizontal to the right and the +y direction to be up.
Newton’s second lawThe equations for the x, y components of the force as per Newton’s second law are:
Fx=Fcosθ−f=ma
Fy=Fsinθ−FN−mg=0
Now, f=μkFN and the second equation from above gives
FN=Fsinθ−mg,
which yields f=μk(Fsinθ−mg).
This expression is replaced for f in the first equation to obtain
Fcosθ−μk(Fsinθ−mg)=ma.
For a = 0 ,
the force is F= cosθ− μksinθ− μkmg
With μk=0.65, m = 5.0kg,
and θ = 70∘, we obtain F = 118 N.
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