Answer:
Explanation:
According to question
tan θ = y / x
Differentiate with respect to t on both the sides
[tex]Sec^{2}\theta \times \frac{d\theta }{dt}=\frac{x\times dy/dt-y\times dx/dt}{x^{2}}[/tex]
[tex]\frac{d\theta }{dt}=\frac{x\times dy/dt-y\times dx/dt}{x^{2}\times Sec^{2}\theta}[/tex] .... (1)
According to question,
tan θ = 5 / 9
So, Sec θ = 10.3 / 9 = 1.14
dx/dt = 9 units/s
dy/dt = 19 units/s
Substitute the values in equation (1), we get
[tex]\frac{d\theta }{dt}=\frac{9\times 19-5\times 9}{81\times 1.14^{2}}[/tex]
dθ/dt = 1.2 units/s
If you double your speed, your kinetic energy will increase by: A. Double B. Triple C. Quadruple D. Quintuple
Answer:
C. Quadruple
Explanation:
[tex]m[/tex] = mass
[tex]v_{i}[/tex] = initial speed = [tex]v[/tex]
[tex]K_{i}[/tex] = initial kinetic energy
Initial kinetic energy is given as
[tex]K_{i} = (0.5) m v_{i}^{2}\\K_{i} = (0.5) m v^{2}[/tex]
[tex]v_{f}[/tex] = Final speed = [tex]2 v[/tex]
Final kinetic energy is given as
[tex]K_{f} = (0.5) m v_{f}^{2}\\K_{f} = (0.5) m (2v)^{2}\\K_{f} = 4 (0.5) m v^{2}\\K_{f} = 4 K_{i}[/tex]
Hence the kinetic energy is quadruple
Water is pumped through a pipe of diameter 15.0 cm, from the Colorado River up to Grand Canyon Village, located on the rim of the canyon. The river is at an elevation of 564 m, and the village is at an elevation of 2096 m. What is the minimum pressure at which the water must be pumped if it is to arrive at the village?
Answer:
p= 1.50289×10⁷ N/m²
Explanation:
Given
HA = (564 m)................(River Elevation)
HB = (2096 m).............(Village Elevation)
Area = A =(π/4){Diameter}² = (π/4){0.15 m}² = 0.017671 m²
ρ = (1 gram/cm³) = (1000 kg/m³)........(Water Density)
p(pressure)=?
Solution
p=PA - PB
p= ρ*g*HB - ρ*g*HA
p= (ρ*g)*(HB - HA)
p= (1000×9.81 )×{2096 - 564}
p= 1.50289×10⁷ N/m²
Based on the research of Albert Einstein, what change would most likely result in stopping the emission of electrons from this metal? a) an increase in the intensity of the light b) a decrease in the intensity of the light c) the use of light that has a higher frequency d) the use of light that has a lower frequency.
Answer:
option (d)
Explanation:
In the experiment of photo electric emission, it starts only when the incident energy has some minimum frequency so that the electrons just emits from the cathode surface. Such frequency is called threshold frequency.
So, if we use light of frequency lower than the threshold frequency, no photo electric emission takes place.
Thus, option (d) is correct.
Answer:
the use of light that has a lower frequency
Explanation:
Which pairing of terms is incorrectly related? Which pairing of terms is incorrectly related? amplitude of a sound: intensity of the sound frequency of sound waves: number of wavelengths quality of a sound: frequency of the sound frequency of sound waves: loudness of the sound
Explanation:
Here some of the pairs of terms are given. We need to find the incorrect relation. The relation are as follows :
1. amplitude of a sound: intensity of the sound
2. frequency of sound waves: number of wavelengths
3. quality of a sound: frequency of the sound
4. frequency of sound waves: loudness of the sound
The intensity of sound is directly proportional to the square of its amplitude. So, relation 1 is correct.
If f is the frequency and [tex]\lambda[/tex] is the wavelength. Speed of sound wave is,
[tex]v=f\lambda[/tex]
So, relation 2 is correct.
The quality of sound wave depends on its amplitude. So, relation 3 is not correct.
The vibration depends on two factors i.e amplitude and the frequency. The loudness of sound depends on the amplitude of wave. So, relation 4 is incorrect.
The incorrectly related pair in the given set is "quality of a sound: frequency of the sound" because it is the unique combination of frequencies and intensities, and not only the frequency, that determines the quality (timbre) of a sound.
Explanation:In the provided set of term pairs, the pairing "quality of a sound: frequency of the sound" is incorrectly related. While the frequency of a sound wave indeed influences the pitch of a sound, it doesn't determine the quality (or timbre) of the sound directly. The timbre of a sound is determined by the unique set of frequencies and intensities produced by a musical instrument or a voice, not by the frequency of the sound alone.
On the other hand, aspects like the "amplitude of a sound: intensity of the sound" and "frequency of sound waves: number of wavelengths" are correctly related. Larger-amplitude waves indicate greater pressure maxima and minima, thus higher intensity sounds. Similarly, the frequency is related to the number of wavelengths that pass in a given amount of time.
The pair "frequency of sound waves: loudness of the sound" can be both correct and incorrect depending on interpretation. Loudness is perceived volume and is influenced by both intensity and frequency. At the same frequency, greater intensity equates to more loudness. However, if the frequency changes without adjusting intensity, it can affect our perceived volume due to the varying sensitivity of human ears at different frequencies. Thus, frequency alone does not specify 'loudness'
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What BEST completes the following sentence.The dust and gas that escapes from a comet creates a/an _____________________________.
Answer:
Explanation:
The dust and gases that escape from a comet creates a coma.
Coma can also be defined as an unclear envelope around the comet, formed when the comet passes near the sun. Sun temperature melts the comet ice and thus give comet a fuzzy appearance when viewed telescope and distinguishes it from a star.
This technique can be useful to find the size of the comet of different size
What is the formula for the expected number of successes in a binomial experiment with n trials and probability of success p?
Answer:
np
Explanation:
If
n= number of trials
p= probability of success
then the expected number of successes in a binomial experiment is given by
E(X) = n×p.
standard deviation
σ= √(npq)
where q is probability of failure.
The expected number of successes in a binomial experiment is calculated as μ = np, where 'n' is the number of trials and 'p' is the probability of success on each trial. The trials are independent and occur under identical conditions. The binomial distribution can approximate the normal when np and nq are both greater than five.
Explanation:The formula for the expected number of successes in a binomial experiment with n trials and probability of success p is given by μ = np, where 'n' denotes the number of independent trials and 'p' represents the probability of success on one trial. For a binomial distribution, there are only two possible outcomes per trial, labeled success and failure. These trials are independent and possess identical conditions. Moreover, the outcomes of a binomial experiment fit a binomial probability distribution. The random variable X signifies the number of successes, with outcomes x = 0, 1, 2, 3, ..., n.
Further, it's crucial to note that the probability of failure, 'q', is represented by q=1-p. So, both np (number of trials times probability of success) and nq (number of trials times probability of failure) should be greater than five (np > 5 and nq > 5) for the binomial distribution of a sample to approximate the normal distribution.
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How can you reduce the exposure to ionizing radiation? A. Don't live near a nuclear facility. B. Stand at least two inches away from the radiation source. C. Spend as little time as possible in a radiation field. D. Avoid standing next to a metal doorway.
Answer:
c
Explanation:
Which friction-reducing technologies are used in the Variable Compression Turbo Engine?
Friction-reducing technologies used in the Variable Compression Turbo Engine are Diamond-like coating on valve lifters, micro finishing on crankshaft and camshaft and mirror bore coating on cylinder wall.
Explanation:
Variable compression is a technology to adjust the compression of an internal combustion engine while the engine is in operation. At this time friction may occur that need to be reduced. To reduce this friction some technologies are used like
Diamond-like coating on valve liftersMicro finishing on crankshaft and camshaftMirror bore coating on cylinder wallA hydrogen free diamond like carbon coating is applied to an engine valve lifter to reduce mechanical loss. Micro finishing on crankshaft and camshaft achieves improvement in geometric parameters such as roundness. Mirror bore coating on cylinder wall raises energy efficiency by reducing the friction inside the engine.
Friction-reducing technologies in Variable Compression Turbo engines include gasoline direct injection, variable valve timing, and multi-valve configurations, all enhanced by advanced computer controls. These technologies help to optimize engine efficiency by minimizing frictional losses.
Explanation:The Variable Compression Turbo (VCT) Engine employs several friction-reducing technologies to enhance performance and efficiency. One key technology used in such engines is gasoline direct injection, which enables precise control over the fuel-air mixture and improves combustion efficiency. Another technology is variable valve timing, which optimizes the opening and closing of the engine's valves to match the engine's speed and load, reducing mechanical friction and improving efficiency.
In addition to these, the VCT engines may use multi-valve configurations that increase the engine's ability to breathe by allowing for more intake and exhaust flow, further reducing frictional losses. Enhanced computer controls also play a critical role in adjusting the compression ratio and monitoring engine performance to minimize friction. The use of advanced materials and engineering solutions contribute to reducing heat transfer into the environment, although it cannot be eliminated entirely due to the second law of thermodynamics.
The most likely place to find abundant manganese nodules is on the: a. abyssal plain far from a continent. b. continental rise. continental shelf. c. crest of a mid-ocean ridge. d. All of the above locations contain manganese nodules.
Answer:
a. abyssal plain far from a continent
Explanation:
The sediments of the abyssal plains contain of the abundant mineral resources and notably polymetallic nodules and re also called the manganese nodules and these are on the shape of potatoes and distributed at the depths of about 4000 meters. And they lie at the international line of the pacific oceans stretching in an area of 118°–157°, and from 9°–16°N, that is 3 million m square is currently under the noddle exploration and discovery.1. A 21.3-kg child positions himself on an inner-tube which is suspended by a 7.28-m long rope attached to a strong tree limb. The child and tube is drawn back until it makes a 17.4-degree angle with the vertical. The child is released and allowed to swing to and from. Assuming negligible friction, determine the child's speed at his lowest point in the trajectory.
2. A baseball player catches a 163-gram baseball which is moving horizontally at a speed of 39.8 m/s. Determine the force which she must apply to the baseball if her mitt recoils a horizontal distance of 25.1 cm.
Answer
1) given,
mass of child = 21.3 Kg
length of the rope = L = 7.28 m
angle made with vertical = 17.4°
speed of the child at the bottom most point
using conservation energy
[tex]m g h = \dfrac{1}{2}mv^2[/tex]
[tex] v = \sqrt{2gh}[/tex]
H = L cos θ
H = 7.28 x cos 17.4°
H = 6.94
where
L = H + h
h = L - H
h = 7.28 - 6.94 = 0.34 m
now,
[tex] v = \sqrt{2\times 9.8 \times 0.34}[/tex]
v = 2.58 m/s
2) given,
mass of baseball = 163 g = 0.163 kg
initial speed = 39.8 m/s
final speed = 0
horizontal distance = 25.1 cm = 0.251 m
Force = ?
using equation of motion
v = u + at
0 = 39.8 + at
at = -39.8 m/s
using equation
[tex]s = ut + \dfrac{1}{2}at^2[/tex]
[tex]0.251= 39.8 t - 0.5 \times 39.8 t [/tex]
t = 0.0126 s
using formula of impulse
I = F x t
I = m(v - u)
F x 0.0126 = 0.163 x (-39.8)
F = 514.87 N
Final answer:
To determine the child's speed at his lowest point in the trajectory, we can use the conservation of mechanical energy by equating the gravitational potential energy to the sum of the kinetic and elastic potential energy. By using the equations for kinetic energy and tension, we can calculate the child's speed and the force of tension in the rope at the lowest point.
Explanation:
To determine the child's speed at his lowest point in the trajectory, we can use the conservation of mechanical energy. At the highest point, the gravitational potential energy is equal to the sum of the kinetic energy and the elastic potential energy of the rope. At the lowest point, the gravitational potential energy is zero, so the kinetic energy is equal to the elastic potential energy. Using this information, we can calculate the child's speed at the lowest point using the equation:
KE = (1/2)mv^2
where KE is the kinetic energy, m is the mass of the child, and v is the child's velocity.
Since we are given the mass of the child and the length of the rope, we can also calculate the force of tension in the rope at the lowest point using the equation:
T = mg + (mv^2)/L
where T is the tension, m is the mass of the child, g is the acceleration due to gravity, v is the child's velocity, and L is the length of the rope.
By using these equations, we can determine the child's speed at his lowest point in the trajectory.
What is stellar parallax?a.It describes the fact that stars are actually moving relative to one another, even though to our eyes the stars appear fixed in the constellations. b.It is the change in the set of constellations that we see at different times of year in the evening sky. c.It is the slight back-and-forth shifting of star positions that occurs as we view the stars from different positions in Earth's orbit of the Sun. d.It is the daily rise and set of the stars.
Answer:
Option C
C. It is the slight back-and-forth shifting of star positions that occurs as we view the stars from different positions in Earth's orbit of the Sun.
Explanation:
The angle due to the change in position of a nearby object against the background stars it is known as parallax.
The parallax angle can be used to find out the distance by means of triangulation. Making a triangle between the nearby star, the Sun and the Earth(as is shown in the image below), knowing that the distance between the Earth and the Sun (150000000 Km) is defined as 1 astronomical unit.
[tex]d(pc) = \frac{1}{p('')}[/tex] (1)
Equation (1) represents the distance in a unit known as parsec (pc).
Key terms:
Parsec: Parallax of arc second
Stellar parallax is the small apparent shift in the position of a star resulting from the change in the Earth's position as it orbits the sun. This effect is similar to the apparent motion of nearby objects against a distant background when you're moving.
Explanation:Stellar parallax is the slight back-and-forth shifting of star positions that occurs as we view the stars from different positions in Earth's orbit of the Sun. To put it in simple terms, as Earth revolves around the Sun, we see nearby stars from slightly different angles at different times of year. This apparent shift in position of the star is what we refer to as the stellar parallax effect.
Think of this as similar to the parallax effect you get when you're travelling in a car. Objects closer to you seem to move faster than the objects farther away. In the case of stellar parallax, the stars closer to us appear to move against the background of distant stars.
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A newborn weighing 9 lb 14 oz (4479 g) is delivered by cesarean due to cephalopelvic disproportion. The Apgar scores are 7 at 1 minute and 9 at 5 minutes. Which nursing action should be taken after the initial physical assessment?
Answer:
Determine the blood glucose level
Explanation:
Determining the blood glucose level of the infant will uncover if the child is affected with hypoglycemia. The increase in the Apgar scores from 7 to 9 in five minutes shows that the newly born child is adapting very well to the outside life.
Explains the significance of Apgar scores in assessing a newborn's health after birth.
The Apgar score is a quick evaluation of a newborn's health status with scores ranging from 0 to 10 based on heart rate, respiration, muscle tone, reflex response, and color. A score of 7 at 1 minute and 9 at 5 minutes are generally positive signs, indicating improvements in the baby's condition after birth. Based on these scores, continuous monitoring and supportive care should be provided to ensure the baby's well-being.
A box slides downwards at a constant velocity on an inclined surface that has a coefficient of friction uK = 0.58, find the angle of the incline, in degrees?
Answer:
30.11°
Explanation:
[tex]\mu[/tex] = Coefficient of friction = 0.58
g = Acceleration due to gravity = 9.81 m/s²
[tex]\theta[/tex] = Angle of incline
As the forces of the system are conserved we have
[tex]mgsin\theta-\mu mgcos\theta=0\\\Rightarrow mgsin\theta=\mu mgcos\theta\\\Rightarrow sin\theta=\mu cos\theta\\\Rightarrow \mu=\dfrac{sin\theta}{cos\theta}\\\Rightarrow \mu=tan\theta\\\Rightarrow \theta=tan^{-1}\mu\\\Rightarrow \theta=tan^{-1}0.58\\\Rightarrow \theta=30.11^{\circ}[/tex]
The angle of incline is 30.11°
A satellite orbits the earth a distance of 1.50 × 107 m above the planet's surface and takes 8.65 hours for each revolution about the earth. The earth's radius is 6.38 × 106 m. The acceleration of this satellite is closest to___________.
Answer:
The acceleration of the satellite is [tex]0.87 m/s^{2}[/tex]
Explanation:
The acceleration in a circular motion is defined as:
[tex]a = \frac{v^{2}}{r}[/tex] (1)
Where a is the centripetal acceleration, v the velocity and r is the radius.
The equation of the orbital velocity is defined as
[tex]v = \frac{2 \pi r}{T}[/tex] (2)
Where r is the radius and T is the period
For this particular case, the radius will be the sum of the high of the satellite ([tex]1.50x10^{7} m[/tex]) and the Earth radius ([tex]6.38x10^{6} m[/tex]) :
[tex]r = 1.50x10^{7} m+6.38x10^{6}m [/tex]
[tex]r = 21.38x10^{6}m [/tex]
Then, equation 2 can be used:
[tex]T = 8.65 hrs \cdot \frac{3600 s}{1hrs}[/tex] ⇒ [tex]31140 s[/tex]
[tex]v = \frac{2 \pi (21.38x10^{6}m)}{31140s}[/tex]
[tex]v = 4313 m/s[/tex]
Finally equation 1 can be used:
[tex]a = \frac{(4313m/s)^{2}}{21.38x10^{6}m}[/tex]
[tex]a = 0.87 m/s^{2}[/tex]
Hence, the acceleration of the satellite is [tex]0.87 m/s^{2}[/tex]
The acceleration of the satellite is 0.87 m/s²
The given parameters;
distance of the satellite, r₁ = 1.5 x 10⁷ m
radius of the earth, r₂ = 6.38 x 10⁶ m
time of motion, t = 8.65 hours
The radius of the satellite is calculated as;
R = r₁ + r₂
R = (1.5 x 10⁷) m + (6.38 x 10⁶) m
R = 2.138 x 10⁷ m
The time of motion of the satellite in seconds;
T = 8.65 hours x 3600 s
T = 31,140 s
The velocity of the satellite is calculated as;
[tex]V = \frac{2\pi R}{T} \\\\V = \frac{2\pi \times (2.138\times 10^7)}{31, 140} \\\\V = 4314.45 \ m/s[/tex]
The acceleration of the satellite is calculated as;
[tex]a_c = \frac{V^2}{R} \\\\a_c = \frac{4314.45^2}{2.138\times 10^{7}} \\\\a_c = 0.87 \ m/s^2[/tex]
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A pressure cooker is a pot whose lid can be tightly sealed to prevent gas from entering or escaping. Even without knowing how big the pressure cooker is
Answer:
3801.13 N
Explanation:
Pressure exerted on a surface is equivalent to applied force divided by the cross sectional area. Then, the applied force will be equal to the product of the pressure exerted and the cross sectional area.
Where given:
Atmospheric pressure (P1) = 1.013*10^5 Pa
T1 = 20+273.15 = 293.15 K
P2 = ?
T2 = 120+273.15 = 393.15 K
Using the gas equation: P1/T1 = P2/T2
Therefore, P2 = P1*T2/T1 = 1.013*10^5 *393.15/293.15 = 13.6*10^4 Pa
The net pressure = P2 - P1 = 13.6*10^4 - 1.013*10^5 = 34.6 kPa
The net force [tex]F_{120} = net pressure * area[/tex]
Area = 0.11 m^2
Thus:
The net force [tex]F_{120} = 34555.7*0.11[/tex] = 3801.13 N
Explains the concept of pressure cookers and the force latches must withstand due to high pressure inside. Uses physics principles to calculate the force required.
Pressure cookers work by increasing the boiling temperature through high pressure inside the sealed vessel. In this scenario, to calculate the force the latches must withstand, you can utilize the formula for pressure, force, and area.
A string is 9.00 m long with a mass of 7.00 g. The string is held taut with a tension of 200.00 N applied to the string. A pulse is sent down the string. How long (in ms) does it take the pulse to travel the 9.00 m of the string?
Answer:
It takes the pulse 25.1 ms to travel the 9.00 m of the string
Explanation:
Force (F) = Mass( m) × Acceleration.( a)
F = ma............... equation 1
Making a the subject of equation 1 above,
a = F/m .............. equation 2
Where F = T = 200 N, m = 7.00 g = 0.007 kg,
Substituting these values into equation 2,
a = 200/0.007 = 28571.43 m/s².
Using one of the equation of motion,
S = ut + 1/2at²................... equation 2
Where S = distance, u = initial velocity, t = time, a = acceleration.
u = 0.
Therefore, S = 1/2at²................. equation 3
Making t the subject of equation 3,
t = √ (2S/a).................. equation 4
Where S = 9.00 m , a = 28571.43 m/s²
Substituting this values into equation 4,
t = √{(2×9)/28571.43}
t = √(18/28571.43
t = √0.00063
t = 0.0251 s
t = 25. 1 ms
Therefore it takes the pulse 25.1 ms to travel the 9.00 m of the string.
What happens to the amount of kinetic energy if the mass is tripled at constant speed?
Answer:
If the mass is tripled, the kinetic energy is also tripled
Explanation:
Kinetic Energy: This is the energy possessed by a body due to motion.
The S.I unit of kinetic energy is Joules.
Mathematically it can be represented as,
Ek = 1/2mv²................ Equation 1
Where Ek = kinetic energy, m = mass, v = velocity of the body.
From the equation above,
(i) Kinetic Energy is directly proportional to mass
(ii) Kinetic energy is directly proportional to velocity squared.
When the mass is tripled,
Ek₁ = 3/2mv².................... Equation 2
Comparing equation 1 and 2,
Ek₁ = 3×Ek
Therefore if the mass is tripled, the kinetic energy is also tripled
Tanungin mo si mama mo Alam nya yan
Explanation:
Or search ka sa google
Why is it unwise to stir a pot of soup with a metal spoon?
Answer:
To prevent the soup from cooling soon and prevent our hands from high temperature of the spoon by the contact of soup.
Explanation:
It is unwise to stir a pot of soup with a metal spoon because the metal has a much lower specific heat capacity than that of water i.e. it requires lesser heat energy to raise its temperature.Soup being a blend of edible fats and vegetables forms a layer of fat and starch on the surface preventing much of the heat from escaping to the environment and thus delaying the process of loosing the heat to the ambiance.When a spoon is put into soup it becomes an accessible good conductor path for the heat to escape easily as a result it also increases the temperature of spoon significantly due to its low specific heat capacity.a parallel RC circuit has a capacitive reactance of 962 ohms and a resistance of 1,200 ohms what is the impedance of this circuit
A. 751 ohm
B. 653 ohms
C. 968 ohm
D, 1,254 ohm
Answer:
A. 751 ohm
Explanation:
Impedance: This is the total opposition to the flow of current in an a.c circuit by any or all of the three circuit elements ( R, L, C). The unit of impedance is Ohms (Ω). The impedance in a parallel circuit is gives a s
Z = RXₐ/√(Xₐ² + R²)............................... Equation 1
Where Z = The impedance of the a.c circuit, Xₐ = capacitive reactance, R = resistance.
Given: Xₐ = 962 Ω, R = 1200 Ω
Substituting these values into equation 1,
Z = 962×1200/√(962² + 1200²)
Z = 1154400/√(925444 + 1440000)
Z = 1154400/√(925444+1440000
Z = 1154400/1538
Z = 750.59 Ω
Z≈ 751 Ω
Therefore the impedance of the circuit = 751 Ω
The right option is A. 751 ohm
Sam's job at the amusement park is to slow down and bring to a stop the boats in the log ride. If a boat and its riders have a mass of 900 kg and the boat drifts in at 1.6 m/s how much work does Sam do to stop it?
Answer:
Sam will do 1152 J of work to stop the boat
Explanation:
Work: This is defined as the product of force and distance, the S.I unit of work is Joules. At any point in science, during calculation Energy and worked can be interchange because they have the same unit.
E = W = 1/2mv²................ Equation 1
Where E = energy, W = work, m = mass, v = velocity.
Given: m = 900 kg, v = 1.6 m/s
Substituting these values into equation 1
W = 1/2(900)(1.6)²
W = 450×2.56
W = 1152 J.
Therefore Sam will do 1152 J of work to stop the boat
While troubleshooting a network problem, a technician realized it could be resolved by opening a port on a firewall. The technician opened the port and verified the system was now working. However, an attacker accessed this port and launched a successful attack. What could have prevented this problem?A. Patch management processes
B. Vulnerability management processes
C. Configuration management processes
D. Change management processes
When an alkali metal is involved in a chemical reaction with a nonmetal, what charge will its atoms most likely form? 1- 2- 2+ 1+
Answer:
+1 ion
Explanation:
Alkali metals are metals that are found in Group I of the periodic table. Their electronic configuration is such that their valence shell in grounds state is always holding only one electron which they always lose when reacting with non-metals. A loss in an electron makes the atom electrically imbalanced and hence becoming a +1 ion.
At 35.0°C and 3.00 atm pressure, a gas has a volume of 1.40 L. What pressure does the gas have at 0.00°C and a volume of 0.950 L? Which equation should you use? A balloon containing 0.500 mol Ar at 0.00°C and 65.0 kPa pressure is expanded by adding more argon. How many moles of argon are added to bring the sample to a final volume of 60.0 L at 30.0°C and 45.0 kPa? What is the original volume of the gas? L
Answer :
The final pressure of gas will be, 3.92 atm
The original volume of gas is, 17.46 L
The number of moles of argon gas added is, 0.57 mol.
Explanation :
Part 1 :
Combined gas law is the combination of Boyle's law, Charles's law and Gay-Lussac's law.
The combined gas equation is,
[tex]\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}[/tex]
where,
[tex]P_1[/tex] = initial pressure of gas = 3.00 atm
[tex]P_2[/tex] = final pressure of gas = ?
[tex]V_1[/tex] = initial volume of gas = 1.40 L
[tex]V_2[/tex] = final volume of gas = 0.950 L
[tex]T_1[/tex] = initial temperature of gas = [tex]35.0^oC=273+35.0=308K[/tex]
[tex]T_2[/tex] = final temperature of gas = [tex]0.00^oC=273+0.00=273K[/tex]
Now put all the given values in the above equation, we get:
[tex]\frac{3.00atm\times 1.40L}{308K}=\frac{P_2\times 0.950L}{273K}[/tex]
[tex]P_2=3.92atm[/tex]
Therefore, the final pressure of gas will be, 3.92 atm
Part 2 :
First we have to calculate the original volume of gas.
Using ideal gas equation:
[tex]PV=nRT[/tex]
where,
P = pressure of gas = 65.0 kPa
V = volume of gas = 3.06 L
T = temperature of gas = [tex]0.00^oC=273+0.00=273K[/tex]
n = number of moles of gas = 0.500 mol
R = gas constant = 8.314 kPa.L/mol.K
Now put all the given values in the ideal gas equation, we get:
[tex](65.0kPa)\times V=(0.500mol)\times (8.314kPa.L/mol.K)\times (273K)[/tex]
[tex]V=17.46L[/tex]
Now we have to calculate the final moles of sample of gas.
Using ideal gas equation:
[tex]PV=nRT[/tex]
where,
P = pressure of gas = 45.0 kPa
V = volume of gas = 60.0 L
T = temperature of gas = [tex]30.0^oC=273+30.0=303K[/tex]
n = number of moles of gas = ?
R = gas constant = 8.314 kPa.L/mol.K
Now put all the given values in the ideal gas equation, we get:
[tex](45.0kPa)\times (60.0L)=n\times (8.314kPa.L/mol.K)\times (303K)[/tex]
[tex]n=1.07mol[/tex]
Now we have to calculate the number of moles of argon gas added.
Moles of argon gas added = Final moles of gas - Initial moles of gas
Moles of argon gas added = 1.07 mol - 0.500 mol
Moles of argon gas added = 0.57 mol
Thus, the number of moles of argon gas added is, 0.57 mol.
Your car is stalled in the middle of a large patch of ice (assumed to be frictionless). You have a friend that has thrown a rope to you and you attach it to the car.Your friend then applies a continuous horizontal force of 550 N to you and the car. If you and the car have a total mass of 1430 kg, how long will it take for you to reach
Answer:
The time depends on the distance that they have to travel
[tex]x(t) = \frac{0.3846t^{2} }{2}[/tex]
Explanation:
The only horizontal force exerts over the car and you, it is the force that your friend is applied
Newton's Second Law of Motion defines the relationship between acceleration, force, and mass, thus
[tex]\sum{F} = ma[/tex]
550 = 1430a
a = 0.3846 m/s2
The car and you have a motion under constant acceleration, then theirs position to a time-based is:
[tex]x(t) = x_{0} + v_{0}t +\frac{at^{2} }{2}[/tex]
By the initial conditions
[tex]x(t) = \frac{at^{2} }{2}[/tex]
[tex]x(t) = \frac{0.3846t^{2} }{2}[/tex]
The time depends on the distance that they have to travel
Which statement is true about divorce in the United States? `
A. The divorce rate is lower for second marriages than first marriages.
B. Divorce usually leads to a higher income and higher standard of living.
C. Similarities between spouses guarantee that they will not divorce.
D. About half of first marriages end in divorce.
Answer:D
Explanation:
D. About half of first marriages end in divorce. - Gradpoint
Describe how the water cycle is driven by the energy of the sun
Explanation:
Sun is the is the cause of entire water cycle because it is responsible for for its major two components that are
1. Condensation
2. Evaporation
The Sun's heat cause the evaporation( water converting into vapor) of water from the earth. This water ends up in atmosphere as water vapor. It cools and rise becoming cloud, and this eventually condenses to water droplets in form of rain or dwe.
A car travels 60 km in the first 2 hours and 68 km in the next 2 hours. What’s the cars average speed?
Answer:
The car's average speed is 32 kilometers per hour
Explanation:
1. Let's review the information given to us to answer the question correctly:
First two hours = 60 kilometers
Next two hours = 68 kilometers
2. What is the car's average speed?
Total distance traveled by the car = 60 + 68
Total distance traveled by the car = 128
Total time of travel = 2 + 2 hours
Total time of travel = 4 hours
Average speed = Total distance/Total time
Replacing with the real values, we have:
Average speed = 128/4
Average speed = 32 kilometers per hour
what's your current physics grade
Answer: grade 8 (uk grading system)
You stand on top a building 44 m tall with a water balloon. You drop the water balloon from rest. How fast is the balloon moving when it is halfway down the building? (assume no friction)
Explanation:
We have equation of motion v² = u² + 2as
Initial velocity, u = 0 m/s
Acceleration, a = 9.81 m/s²
Displacement, s = 0.5 x 44 = 22 m
Substituting
v² = u² + 2as
v² = 0² + 2 x 9.81 x 22
v² = 431.64
v = 20.78 m/s
Velocity at 22 m = 20.78 m/s
The balloon is moving when it is halfway down the building at 20.78 m/s.
What is Icm, the moment of inertia of the disk around its center of mass? You should know this formula well.
[tex]I_{cm} =mr^{2}[/tex] is the moment of inertia of rigid body along its centre of mass.
The moment of inertia of a body is the rotational analog of mass in linear motion. If we consider a rigid body of mass m, assuming its mass concentrated at its center of mass (cm) which is at a distance of r from the axis of rotation of the body, then the moment of inertia of the rotating body is given by:
[tex]I_{cm} =mr^{2}[/tex]
Learn more about moment of inertia:
https://brainly.com/question/13891007
The moment of inertia (Icm) of a disk about an axis through its center is 0.5 * mass * radius^2. It plays a significant role in the study of rotational motion.
Explanation:The moment of inertia of a disk about an axis passing through its center of mass, perpendicular to the plane of the disk (also known as Icm) is calculated using the formula:
Icm = 0.5 * mass * radius^2
where the mass is how much matter is in the disk, and the radius is the distance from the center of the disk to its edge. This formula is important as it helps determine the rotational motion of an object.
Learn more about moment of inertia here:https://brainly.com/question/34228994
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