The final result comes out to be 1.25 x 10¹² molecules. of so₂ contained in this sample .
This problem requests SO₂ molecules at equilibrium in exchange for a chemical process at equilibrium and its pressure-based equilibrium constant. The final result comes out to be 1.25 x 1012 molecules.
What are molecules ?\(K_{p}\) = 1/(\(PSO_{2}\)×\(PO_{2}^{1/2}\))
\(PSO_{2}\) = \(9.17\)×\(10^{-16} atm\)
Thus, we obtain the mole fraction of SO2 as follows:
\(xSO_{2}\) = \(4.37\)×\(10^{-15}\)
The moles of SO2 in the 475 moles of the gas mixture are calculated using this mole fraction, and the molecules are calculated using Avogadro's number.
molecules = 475 × \(4.37\)×\(10^{-15}\)×\(6.022\)×\(10^{23}\) = 1.25 x 10¹² molecules.
If they contain more than one, they may contain different atoms or the same atoms (for instance, an oxygen molecule has two oxygen atoms) (a water molecule has two hydrogen atoms and one oxygen atom). The number of atoms in biological compounds like DNA and proteins can reach thousands.
A molecule is the smallest unit of any material that is composed of one or more elements and is capable of existing independently while maintaining all of the substance's physical and chemical properties.
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An electron moving at 4.10 ✕ 103 m/s in a 1.45 T magnetic field experiences a magnetic force of 1.40 ✕ 10−16 N. What angle does the velocity of the electron make with the magnetic field? There are two answers between 0° and 180°. ° (smaller value) ° (larger value)
ANSWER
\(8.46\degree;\text{ }171.54\operatorname{\degree}\)EXPLANATION
Parameters given:
Speed of electron, v = 4.10 * 10^3 m/s
Magnetic field, B = 1.45 T
Magnetic force, F = 1.40 * 10^(-16) N
To find the angle that the velocity of the electron makes with the magnetic field, apply the formula for magnetic force:
\(F=qvB\sin\theta\)where θ = angle
q = electric charge = 1.6 * 10^(-19) C
Make θ the subject of the formula:
\(\begin{gathered} \sin\theta=\frac{F}{qvB} \\ \\ \theta=\sin^{-1}(\frac{F}{qvB}) \end{gathered}\)Therefore, the angle that the velocity makes is:
\(\begin{gathered} \theta=\sin^{-1}(\frac{1.4*10^{-16}}{1.6*10^{-19}*4.1*10^3*1.45}) \\ \\ \theta=\sin^{-1}(0.1472) \\ \\ \theta=8.46\degree \end{gathered}\)To find the second angle, subtract the angle from 180 degrees:
\(\begin{gathered} 180-8.46 \\ \\ 171.54\degree \end{gathered}\)The angles are:
\(8.46\operatorname{\degree};\text{ }171.54\operatorname{\degree}\)If an object experienced an impulse when a large force was applied what does that indicate about the length of time the force was applied
the weight of a body of certain mass become zero in space.why?
Answer:
There is no force in space.
Explanation:
Weight is the gravitational force acting on the mass as in space there is no gravity so weight appeares as zero
Answer:
It is because of gravity that your weight of a certain mass becomes zero in space.
Explanation:
uniform circular motion worksheet physics 
The time of motion of the satellite is 1.65 hours.
The speed of the satellite from the center of the Earth is 26,945.35 km/h.
What is the time of motion of the satellite?
The time of motion of the satellite in hours is calculated as follows;
t = ( 99 min / 1 ) x ( 1 hour / 60 min )
t = 1.65 hours
The speed of the satellite from the center of the Earth in km/h is calculated as follows;
v = ( 2πr ) / ( t )
where;
r is the distance of the satellite from the center of the EarthThe position of the satellite above the surface of the Earth = 705 km
The radius of Earth = 6,371 km
The total distance of the satellite from the center of the Earth = 705 km + 6,371 km = 7,076 km
v = ( 2π x 7076 ) / ( 1.65 )
v = 26,945.35 km/h
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you toss a tennis ball straight upward. at the moment it leaves your hand it is at a height of 1.3 m above the ground, and it is moving at a speed of 8.2 m/s. (a) how much time does it take for the tennis ball to reach its maximum height?
The tennis ball takes approximately 0.582 seconds to reach its maximum height. The problem can be solved by putting the values of velocity, time and acceleration due to gravity in the formula of height.
To find the time it takes for the tennis ball to reach its maximum height, we can use the equation for vertical motion under constant acceleration, which is given by:
h = v0t - (1/2)gt^2
where h is the height, v0 is the initial velocity, t is the time, g is the acceleration due to gravity (9.8 m/s^2), and t is the time.
In this case, we know the initial height and velocity, so we can solve for the time it takes to reach the maximum height (when the velocity is equal to 0 m/s):
h = v0t - (1/2)gt^2
1.3 = 8.2t - (1/2)(9.8)(t^2)
Rearranging and solving for t, we get:
4.9t^2 - 8.2t + 1.3 = 0
t = 0.582 s
So it takes approximately 0.582 seconds for the tennis ball to reach its maximum height.
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A student holds a pipe vertically, with one end submerged in water while the opposite end is out in the air. Just above the pipe, the student holds a tuning fork. The student carefully moves the pipe up and down, varying the level of water inside of it, until they detect a strong resonant sound.
The student detects this sound when the length of air inside of the pipe measures 56.25 cm, and then again when the length is 68.75 cm. Taking the speed of sound in air to be of 340. m s–1, what is the frequency of the tuning fork?
With the use of formula, the frequency of the tuning fork is 13.6 Hz
RESONANCEA tuning fork can be used to determine the speed of sound in air using a resonance tube. The apparatus needed for this experiment are;
Tuning forkbeakerglass tubewaterThe experiment begins when a student holds a pipe vertically, with one end submerged in water while the opposite end is out in the air. Just above the pipe, the student holds a tuning fork. The student carefully moves the pipe up and down, varying the level of water inside of it, until they detect a strong resonant sound.
Given that the student detects this sound when the length of air inside of the pipe measures 56.25 cm, and then again when the length is 68.75 cm. Taking the speed of sound in air to be of 340. m s–1.
The parameters given are:
\(L_{1}\) = 56.25 cm
\(L_{2}\) = 68.75 cm
V = 340 m/s
The formula to use for this question is
V = 2F( \(L_{2}\) - \(L_{1}\) )
340 = 2F (68.75 - 56.25)
340 = 2 x 12.5 x F
340 = 25F
F = 340/25
F = 13.6 Hz
Therefore, the frequency of the tuning fork is 13.6 Hz
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An ant crawled 2/7 of a journey at an average speed of 5 cm per minute. It crawled the remaining 25 cm at another speed. If the average speed for the whole journey was 7 cm per minute, what’s the amount of time for the whole journey?
___ minutes
Answer:5 min
Explanation: just is
If the length of a pendulum is doubled,what will be the change in its time period??
Explanation:
see the attachment.. hope it will help you
The charge of most alkaline earth metals.
Answer:
2+ charge
Explanation: The alkaline earth metals have two valence electrons in their highest-energy orbitals (ns2). They are smaller than the alkali metals of the same period, and therefore have higher ionization energies. In most cases, the alkaline earth metals are ionized to form a 2+ charge
Hope this helps, have a great day :)
what causes the apparent motions of stars across the sky each night
A. earth revolves around the sun.
B. earth spins on its axis
C. the stars move around the sun and earth.
B. the sun and earth revolve around the stars
Answer:
B
Explanation:
for the motion every night, it is because the Earth spins on its axis.
for the changes over a year, this is because the Earth rotates around the sun.
for the changes over hundreds, thousands or millions of years, this is because the whole solar system (including the Earth, of course) rotates with all the other stars in our galaxy around the center of the galaxy. and each star system has its own orbit (similar to the planets in our solar system).
it is very rare to see objects outside of our galaxy without a telescope, but they change too over a long period of time, because our galaxy not only rotates by also moves through the universe, and these other objects move on their own too.
Answer:
b earth spins on its axis
Explanation:
a current of 12 A flows through a fan for 30 minutes.How many charge flows through then fan during this time?
Answer:
Q=21600C
Explanation:
Q=It.
Data
I=12A
t=30min
convert time from minutes to second
t=60*30
=1800s
Q=?
Q=It
=(12A)*(1800s)
Q=21600C
which two things does force depend on?
Answer:
Mass and Gravity
Explanation:
Objects with mass exert forces on each other via the force of gravity. This force is proportional to the mass of the two interacting objects and is inversely proportional to the square of the distance between them.
If the strength of the magnetic field at a is 27 units and the strength of the magnetic field at b is 3 units, what is the distance to b?.
It is 15 meters from point A to point B. The measure of magnetic field strength is the tesla.
The portion of a material's magnetic field that results from an external current and is not intrinsic to the material itself is known as the magnetic field strength, also known as magnetic intensity or magnetic field intensity. It is measured in amperes per meter and represented as the vector H.
H is defined by the formula H = B/ M, where B is the magnetic flux density, which measures the real magnetic field present in a material as a concentration of magnetic field lines, or flux, per unit cross-sectional area; is the magnetic permeability; and M is the magnetization.
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The complete question is
If the strength of the magnetic field at A is 27 units and the strength of the magnetic field at B is 3 units, what is the distance to B?
a) 10 m
b) 225 m
c) 15 m
A roller coaster at the Six Flags Great America amusement park in Gurnee, Illinois, incorporates some clever design technology and some basic physics. Each vertical loop, instead of being circular, is shaped like a teardrop. The cars ride on the inside of the loop at the top, and the speeds are fast enough to ensure that the cars remain on track. The biggest loop is 40.0m high. Suppose the speed at the top is 14.4m/s and the corresponding centripetal acceleration is 2g.
(a) What is the radius of the arc of the teardrop at the top?
(b)If the total mass of a car plus the riders is M, what force does the rail exert on the car at the top?
(c) Suppose the roller coaster had a circular loop of radius 21.4 m. If the cars have the same speed, 14.4 m.s at the top, what is the centipetal acceleration at the top?
The formula that I know to start with is SF = mac = (mv2)/r
But when I used this formula only I got the wrong answer..
The radius of the arc of the teardrop at the top is 10.57 m, the total mass of the car and riders is given as M, the force exerted by the rail on the car at the top is F = 19.62M N (Newtons), and the centripetal acceleration at the top of the circular loop would be 9.64 m/s².
To find the radius of the arc of the teardrop at the top, we can use the given centripetal acceleration and speed. The centripetal acceleration is 2g, which is 2 times the acceleration due to gravity (g = 9.81 m/s²). So, the centripetal acceleration (ac) is 2 * 9.81 = 19.62 m/s². The speed (v) at the top is given as 14.4 m/s.
We can use the formula for centripetal acceleration: ac = (v²) / r, where r is the radius of the arc. Rearranging the formula to find r, we get r = (v²) / ac.
Substituting the values, we have r = (14.4 m/s)² / 19.62 m/s² = 10.57 m.
So, the radius of the arc of the teardrop at the top is 10.57 m.
To find the force the rail exerts on the car at the top, we can use the formula F = mac, where F is the force, m is the mass of the car and riders, a is the centripetal acceleration, and c is a constant equal to 1.
Substituting the values, we have F = M * 19.62 m/s².
Since the total mass of the car and riders is given as M, the force exerted by the rail on the car at the top is F = 19.62M N (Newtons).
If the roller coaster had a circular loop of radius 21.4 m and the cars have the same speed, 14.4 m/s at the top, we can find the centripetal acceleration using the formula ac = (v²) / r.
Substituting the values, we have ac = (14.4 m/s)² / 21.4 m = 9.64 m/s².
So, the centripetal acceleration at the top of the circular loop would be 9.64 m/s².
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Using conversions and data in the chapter, determine the number of hydrogen atoms required to obtain 7.9 kg of hydrogen. a hydrogen atom has a mass of 1.0 u.
The number of hydrogen atoms required to obtain 7.9 kg of hydrogen is approximately 4.78 x 10^26 atoms.
To calculate this, we can use the following steps:
1. Determine the mass of one hydrogen atom: 1.0 atomic mass unit (u).
2. Convert the mass of hydrogen from kilograms to atomic mass units by dividing 7.9 kg by the mass of one hydrogen atom (1.0 u).
3. Use Avogadro's number, which states that 1 mole of any substance contains 6.022 x 10^23 entities (atoms, molecules, etc.), to convert from atomic mass units to the number of hydrogen atoms.
4. Multiply the result obtained in step 2 by Avogadro's number to find the number of hydrogen atoms.
The answer, approximately 4.78 x 10^26 atoms, represents the number of hydrogen atoms required to obtain 7.9 kg of hydrogen.
In this calculation, we use conversion factors and Avogadro's number to relate the mass of hydrogen in kilograms to the number of hydrogen atoms.
By converting units and using the concept of moles, we can determine the quantity of atoms in a given mass of a substance.
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question 1: Ethanol has a specific latent heat of evaporation of 855kJ/kg. Calculate the energy required to boil 0.60kg of ethanol.
question 2:A piece of gold has a volume of 2.00 x 10-5m3 and a mass of 0.386kh. Calculate the density of gold
1. The energy required is 513 kJ to boil 0.60kg of ethanol.
2. The density of gold is 19,300 kg/\(m^3\) if it has a volume of 2.00 x \(10^-^5\)\(m^3\) and a mass of 0.386kh.
Question 1: The energy required to boil a substance can be calculated by multiplying the mass of the substance by its specific latent heat of evaporation. In this case, the specific latent heat of evaporation for ethanol is given as 855 kJ/kg, and the mass of ethanol to be boiled is 0.60 kg.
Energy required = Mass × Specific latent heat of evaporation
Energy required = 0.60 kg × 855 kJ/kg
Energy required = 513 kJ
Therefore, the energy required to boil 0.60 kg of ethanol is 513 kJ.
Question 2: The density of a substance is calculated by dividing its mass by its volume. In this case, the volume of the gold is given as 2.00 x\(10^-^5\) \(m^3\) and the mass of the gold is 0.386 kg.
Density = Mass / Volume
Density = 0.386 kg / 2.00 x \(10^-^5\) \(m^3\)
Density = 19300 kg/\(m^3\)
Therefore, the density of gold is 19300 kg/\(m^3\).
In summary, the energy required to boil 0.60 kg of ethanol is 513 kJ, and the density of gold is 19300 kg/m^3.
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The first major failure of the ptolemaic theory to predict the results of observations was?
Galileo’s telescopic discoveries of the moons of Jupiter are often mentioned. But they did not amount to proof that the Ptolemaic system was incorrect.
It's hard to tell you how big a shakeup this caused in astronomy at the time. Thanks to Galileo, we now knew that planets weren't perfect, ethereal lights in the sky. That things could orbit them, same as (most astronomers thought) things did around Earth, making Earth less special, and providing evidence that maybe that heliocentric theory wasn't that out there.
Basically, before Galileo, astronomers were looking at an unchanging, heavenly firmament, separate from Earth by its very heavenly nature.
After, they were studying planets - actual worlds like ours - and moons and the physical (as opposed to heavenly) reality of their place in the universe.
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A) The drawing shows four different situations in which a light ray is traveling from one medium into another. Without doing any calculations, but taking note of the relative sizes of the angles of incidence and refraction, decide which situation shows a refraction that is physically possible. B) A ray of light originates in medium A and is incident upon medium B. For which one of the following pairs of indices of refraction for A and B is total internal reflection NOT Possible? (Hint: you may be tempted to do calculations. However, calculation is Not needed to answer this question. ) 1) nA = 1. 12, nB = 1. 06 2) nA = 1. 28, nB = 1. 36 3) nA = 1. 36, nB = 1. 00 4) nA = 2. 54, nB = 1. 63 5) nA = 1. 26, nB = 1. 15
Refraction occurs when a light ray passes from one medium to another with a different refractive index. Therefore, option 3 is the correct answer.
A) Refraction occurs when a light ray passes from one medium to another with a different refractive index. The angle of incidence is the angle between the incoming light ray and the normal, while the angle of refraction is the angle between the refracted light ray and the normal. According to the laws of refraction, the angle of incidence and the angle of refraction are related by the ratio of the refractive indices of the two media. In situations where the angle of incidence is greater than the critical angle, total internal reflection occurs instead of refraction.
Looking at the four situations depicted in the drawing, we can see that only situation 1 shows a possible refraction. This is because the angle of incidence is smaller than the angle of refraction, which indicates that the refracted ray bends away from the normal, as expected based on the relative refractive indices of the two media. In situations 2, 3, and 4, the angle of incidence is larger than the angle of refraction, which violates the laws of refraction and is therefore not physically possible.
B) Total internal reflection occurs when a light ray travels from a medium with a higher refractive index to a medium with a lower refractive index, and the angle of incidence is greater than the critical angle. The critical angle is the angle of incidence at which the angle of refraction is 90 degrees. If the angle of incidence exceeds the critical angle, the light ray is reflected back into the original medium instead of refracting into the second medium.
Without doing any calculations, we can see that option 3 shows a pair of refractive indices where total internal reflection is not possible. This is because the refractive index of medium B is 1.00, which is the lowest possible value for a refractive index. If medium A has a higher refractive index than 1.36, then the critical angle will be smaller than 45 degrees, and total internal reflection will not occur. Therefore, option 3 is the correct answer.
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Suppose that for a certain beverage company the volumes of soda cans are normally distributed with a mean of 12.01 fluid ounces and a standard deviation of 0.02 fluid ounces. a) If one soda can is randomly selected from the population, find the probability that its volume is less than 12 fluid ounces. Round to four decimal places. b) If a sample of size n = 32 soda cans is drawn randomly from the population, find the probability that the sample mean volume is less than 12 fluid ounces. Round to four decimal places. c) What do you think happens to the probability that the sample mean volume is less than 12 fluid ounces as larger and larger sample sizes are taken?
a. The probability that a randomly selected soda can has a volume less than 12 fluid ounces is approximately 0.3085
b. The probability that the sample mean volume is less than 12 fluid ounces, when a sample of size n = 32 is taken, is approximately 0.0023
c. The distribution of the sample mean becomes narrower and more concentrated around the population mean. Consequently, the probability of obtaining a sample mean less than 12 fluid ounces decreases because the sample mean is less likely to deviate significantly from the population mean.
a) Let X be the volume of a randomly selected soda can. We are given that the mean (μ) is 12.01 fluid ounces and the standard deviation (σ) is 0.02 fluid ounces.
We need to calculate P(X < 12). To do this, we standardize the variable using the z-score formula:
z = (X - μ) / σ
Substituting the given values, we have:
z = (12 - 12.01) / 0.02
= -0.5
Now, we can use a standard normal distribution table or calculator to find the probability associated with the z-score of -0.5. From the table, we find that the probability is approximately 0.3085.
b) When a sample of size n = 32 soda cans is drawn randomly from the population, the mean volume of the sample (denoted by X-bar) follows a normal distribution with the same mean (μ = 12.01 fluid ounces) but a smaller standard deviation (σ-bar) given by:
σ-bar = σ / sqrt(n)
Substituting the values, we have:
σ-bar = \(0.02 / \sqrt{(32)\)
= 0.02 / 5.6569
≈ 0.00354
Now, we need to calculate P(X-bar < 12). Again, we standardize the variable using the z-score formula:
z = (X-bar - μ) / σ-bar
Substituting the given values, we have:
z = (12 - 12.01) / 0.00354
≈ -2.8249
Using the standard normal distribution table or calculator, we find that the probability associated with the z-score of -2.8249 is approximately 0.0023.
c) As larger and larger sample sizes are taken, the probability that the sample mean volume is less than 12 fluid ounces tends to decrease. This is because as the sample size increases, the sample mean becomes a better estimate of the population mean. The larger the sample size, the more reliable and representative the sample mean is of the true mean. Hence, the sample mean is more likely to be closer to the population mean.
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Jack and jill travel up a hill at a speed of 2 mi/h. they travel back down the hill at a speed of 4 mi/h. what is their average speed for the entire trip? express your answer as a mixed number.
Jack and jill travel up a hill at a speed of 2 mi/h. They travel back down the hill at a speed of 4 mi/h. Their average speed for the entire trip is 8/3 mi/h
The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity
Let x be the distance of hill from one side.
⇒ Distance for round trip = 2x
Let t1 and t2 be the time taken by them when going and returning back respectively.
Total time taken for round trip = t1+ t2
we have,
speed = distance/ time
⇒time = distance/speed
so, t1 = x/2
t2= x/4
Average speed for round trip = total distance/ total time
\(average speed = \frac{2x}{ \frac{x}{2} + \frac{x}{4} } \)
= 8/3 mi/h
therefore, Their average speed for the entire trip is 8/3 mi/h.
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Considering the concepts you have participated in this activity, come up with a testable question that involves objects, their mass forces acting on them, and the resulting motion
The mass of a car can significantly affect the distance it travels when subjected to a given braking force. The braking force is the force that is applied to a car's brakes to bring it to a stop.
When a car is subjected to a braking force, the force acts to slow down or stop the car's motion. The mass of the car determines how much force is needed to achieve a given deceleration.
The greater the mass of the car, the more force is required to achieve the same deceleration. This means that a car with a greater mass will travel a longer distance before coming to a stop when subjected to a given braking force, compared to a car with a lower mass.
Therefore, it is important to consider the mass of a car when designing its braking system, to ensure that it is capable of providing sufficient force to achieve the desired deceleration and stopping distance.
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Full Question: How does the mass of a car affect the distance it travels when subjected to a given braking force?
What will happen to the ball in example C if there is no friction?
A) The ball will roll forever in a straight path
B) The ball will roll forever in a curved path
C) The ball will stop rolling eventually
D) The ball's final position will be 10m away from the starting point
Answer:
A) The ball will roll forever in a straight path.
El Burj Khalifa es la torre más alta de Dubai y mide 821 m. Si se deja caer una moneda desde lo alto de la torre, ¿cuál es la magnitud de la velocidad con la que choca con el suelo?
Answer:
Vf = 126,85 m/s
Explanation:
En este caso, vamos a asumir que la velocidad inicial de la moneda cuando se deja caer es cero, puesto que no nos lo indican. Al ser la velocidad inicial cero, lo unico que influye en la velocidad de la moneda es la gravedad y la altura, por ende, la siguiente formula nos ayudará a calcularla:
Vf² = Vo² - 2gh (1)
Pero como la velocidad inicial es cero, y si también asumimos que la dirección de bajada será nuestro eje positivo, entonces:
Vf² = 2gh (2)
Ahora solo nos queda, reemplazar los valores de altura que es 821 m, y la aceleración de gravedad que es 9.8 m/s² y resolvemos la velocidad:
Vf² = 2 * 9,8 * 821
Vf = √16091,6
Vf = 126,85 m/sEsta debería ser la velocidad con que llega al suelo.
Exitos
La magnitud de la velocidad con la que choca con el suelo es aproximadamente 126.898 metros por segundo.
Si despreciamos los efectos de la viscosidad del aire y la aceleración de Coriolis, entonces el movimiento de la moneda se describe por el movimiento de caída libre, es decir, un movimiento uniforme acelerado debido a la gravedad terrestre. La velocidad final de la moneda es determinada por la siguiente ecuación cinemática:
\(v = \sqrt{v_{o}^{2}+2\cdot a\cdot h}\) (1)
Donde:
\(v_{o}\) - Velocidad inicial, en metros por segundo.\(a\) - Aceleración, en metros por segundo al cuadrado.\(h\) - Altura, en metros.\(v\) - Velocidad final, en metros por segundo.Si sabemos que \(v_{o} = 0\,\frac{m}{s}\), \(a = 9.807\,\frac{m}{s^{2}}\) y \(h = 821\,m\), entonces la velocidad final de la moneda es:
\(v = \sqrt{\left(0\,\frac{m}{s} \right)^{2}+2\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (821\,m)}\)
\(v\approx 126.898\,\frac{m}{s}\)
La magnitud de la velocidad con la que choca con el suelo es aproximadamente 126.898 metros por segundo.
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A 2400W electric toaster is connected to a standard 120 V wall outlet. A family
measured their monthly toaster usage to be 6.5 hrs.
1) How much electrical energy (in kilowatt hours - kWh) did the toaster dissipate
during the measured month? (round to 1 decimal place & do not include units)
2) If the local power company charges $0.13/ kWh, then calculate (in $) the monthly
total cost of this toaster. (round to 2 decimals & do not include units)
Answer:
1) energy = 15.6 kWh, 2) total_cost = $ 2.03
Explanation:
1) The energy dissipated is the product of the power and the time of use In a month it was used t = 6.5 h and the power of the toaster is
P = 2400 W = 2,400 kW
energy = P t
energy = 2,400 6.5
energy = 15.6 kWh
using rounding to a decimal
energy = 15.6 kWh
2) The cost of energy is unit_cost = $ 0.13 / kWh
so the total cost
total_cost = energy unit_cost
total_cost = 15.6 0.13
total_cost = $ 2.028
rounding to two decimal places
total_cost = $ 2.03
9.19 Curling is a sport played with 20 kg stones that slide across an ice surface. Suppose a curling stone sliding at 1 m/s strikes another, stationary stone and comes to rest in 2 ms. Approx. how much force is there on the stone during the impact?A 200 NB 1000 NC 2000 ND 10,000 N
Curling is a sport played with 20 kg stones that slide across an ice surface. Suppose a curling stone sliding at 1 m/s strikes another, stationary stone and comes to rest in 2 ms. The force on the stone during the impact is option (D) 10,000 N.
To calculate the force on the curling stone during the impact, we can use the impulse-momentum theorem, which states that the impulse of a force on an object is equal to its change in momentum. We can assume that the two stones are of equal mass (20 kg), since the problem does not provide any information to suggest otherwise. Let's call the initial velocity of the moving stone "v" and the final velocity (0 m/s, since it comes to rest) "u". The change in velocity is therefore:
Δv = u - v = 0 - 1 = -1 m/s
The time taken for the stone to come to rest is given as 2 ms, which is equal to 0.002 s. Using the formula for impulse, J = Δp = mΔv, we can calculate the impulse of the force acting on the stone:
J = (20 kg) x (-1 m/s) = -20 Ns
Since the force is applied for a time of 0.002 s, we can calculate the force using the formula for average force:
F = J / t = (-20 Ns) / (0.002 s) = -10,000 N
The negative sign indicates that the force is in the opposite direction to the motion of the stone. Therefore, the approximate force on the stone during the impact is 10,000 N, which is answer choice D.
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The temperature of the air in a valley begins to increase after the sun comes up and heats the valley floor. What will
happen to the velocity of sound in this valley?
-The velocity will increase
-The veocity will decrease
-The velocity will not change
-The velocity will drop to zero.
Explanation:
I think it will increase a little bit ... just image ... if the temperature is 0, the velocity will be 0 too. because the vibration of atom is so weak and the sound cant progation.
Answer:
The velocity will increase.
Explanation:
Wave velocity and the temperature of the medium are directly proportional so if the temperature increases, the velocity will increase.
A stuntman drives a car off of a parking garage. The car lands 68.38 meters away from the base of the garage. If the stuntman drove the car at 19 m/s, how tall is the parking garage?
Answer: 63.43 m
Explanation:
Given
Car lands 68.38 m away from the base of the garage
Stuntman drove the car with speed \(u=19\ m/s\)
Since there is no acceleration in the horizontal direction, so there is no change in velocity
\(\Rightarrow 68.38=19\times t\\\Rightarrow t=3.598\ s\)
time taken to cover 68.38 m is 3.598 s
In this time car travels a vertical distance of h
Such that we can write
\(\Rightarrow h=u_vt+\frac{1}{2}at^2\\\\\Rightarrow h=\frac{1}{2}gt^2\\\\\Rightarrow h=0.5\times 9.8\times (3.598)^2=63.43\ m\)
A human services professional has worked with a particular client for a couple of years. The client
seemed to be making good progress but has suddenly become resistant to suggestions to address
another area of his life. The code of ethics suggests that the human services professional should take
what action?
force the client to change
drop the client
respect the client's decision
report the client for being stubbom
Answer:
Respect the client’s decision
Explanation:
just took the test
Answer: Respect the client's decision
Explanation: Either way the professional would know not to do anything rash and it is the client's decision whether or not they want to move forward, it would have obviously been a touchy subject if they were that reluctant.
Calculate the total power of 5 fans each of them draws a current of 0.8A at a potential difference of 220V
Given: No. of fans = 5
Current (I)= 0.8A
Voltage (V) 220V
To find: Total power P
Solution: We know that P=VI
Therefore for one fan P= 0.8*220
= 176 W
Total Power for 5 fans = 176*5
= 880W
In electric motors and electric generators, which part is responsible for transferring current from the power source to the commutator or from the slip rings to where the electricity is needed? armature brush axle magnet
Answer:
brush
Explanation:
its correct
Answer:
B. Brush
Explanation:
Edg 2021