Calculate the work W done by the gas during process 1→2. Express your answer in terms of p0 and V0.
The work done by the gas during process 1→2 can be expressed in terms of p0 and V0 as W = p0(V2 - V0).
What is gas?Gas is a form of energy that is created from the combination of certain elements. It is a form of fuel that is often used to power engines, heat homes, and cook food. It is also used in many industrial processes and is a major component of both natural gas and petroleum. Gas is made up of a combination of hydrocarbons, which are molecules composed of hydrogen and carbon atoms. Depending on the type of gas, the molecules may also contain oxygen, nitrogen, and other elements. Natural gas is found underground and is composed mostly of methane, while petroleum gas is a combination of natural gas and oil.
The work done by the gas during process 1→2 is given by the equation W = p0(V2 - V1). Since we are given the initial state (p0, V0) and the final state (p2, V2), we can calculate the work done by the gas:
W = p0(V2 - V0)
Therefore, the work done by the gas during process 1→2 can be expressed in terms of p0 and V0 as W = p0(V2 - V0).
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The motion of a particle given by x(t)=(25cm)cos(14t) , where t is in s. What is the first time the kinetic energy is twice the potential energy?
The first time the kinetic energy is twice the potential energy will be 0.04 sec.
Kinetic energy is the energy an object has as a result of motion. In order to accelerate an object, a force must be applied.To apply a force, we must exert effort. Energy is transmitted to the object once the work is accomplished, at which point it moves at a new, constant speed.
We know,
x(t) = A cos ωt
ω= 14
A = 25 cm
v(t) = [tex]\frac{Dx}{dt}[/tex]
= 24*14*sin(14t)
Potential energy= 0.5 ω² x² m
Kinetic Energy = 0.5 m v²
from condition : K.E = 2P.E
so, v(t)² = 2ω²x(t)²
solving t= 0.04 sec
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for the second overtone standing wave the node-to-node distance is 8.00 cm . what is the length of the string? express your answer with the appropriate units.
The string is 24 cm long. The node-to-node spacing during the second overtone standing wave is 8.00 cm.
What is standing wave?Two waves with the same frequency and amplitude that are traveling in opposing directions and interfere with one another create a standing wave. It has some places (referred to as nodes) where the amplitude is consistently zero and other spots (referred to as antinodes) where the amplitude fluctuates most intensely.
In order to produce a tone, a standing wave in a musical instrument enables constancy and predictability of the wave. A standing wave is "caught" by resonance in a resonating chamber in wind instruments and in string instruments.
Node to node distance, d is 8 cm.
n = 3
length, L = nλ/2
L = 3 × 8
∴ L = 24 cm
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which number is the systolic pressure and what is it measuring?
Systolic pressure is the top number in a blood pressure reading and it is usually measured in millimeters of mercury (mm Hg). It measures the pressure in the arteries when the heart beats and pumps blood out to the rest of the body.
What is Systolic pressure?Systolic blood pressure is the maximum pressure of blood in the arteries during a heartbeat. It is the top number in a blood pressure reading, usually written as two numbers separated by a slash. The systolic pressure is a measure of the force with which the heart pumps blood around the body and is the highest pressure reached in the arteries when the ventricles are squeezing. The systolic pressure is a measure of how much pressure is required to push the blood around the body and can be affected by lifestyle, age and other health factors.
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if a car generates 16.0 hp when traveling at a steady 103 km/h, what must be the average force exerted on the car due to friction and air resistance?
The response to the question is that the average force caused by frictional and air resistance on an automobile is 417.02N.
What in science is a force?The term "force" has a particular definition in science. At this level, calling a force a pushing or a pull is quite appropriate. A force isn't something an item "has in it" or that it "contains." One thing receives a force from another. There are both living things and non-living objects in the notion of a force.
Given that,
The power generated, P = 16 hp = 11931.19 W
Speed of the car, v = 103 km/h = 28.61 m/s
We need to find the average force exerted on the car due to friction and air resistance.
We know that,
Power, P = F v
Where,
F is force exerted on the car
F = P/V
= 11931.19/28.61
= 417.02N
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In an experiment to create a pendulum, each member of the group measured the length of the string to be a slightly different value. How do we describe these small differences when reporting the length?
A.) Precision
B.) Accuracy
C.) Systematic Uncertainty
D.) Random Uncertainty
When the length of each member in an experiment to build a pendulum is measured using a separate value, the random uncertainty is what accounts for the little discrepancies in length reporting.
What exactly is random uncertainty?These are mistakes that are regularly made during an experiment due to poor design, an inherent flaw, or a constraint in the instrument. They could also be the result of subpar experimental methods.
Both a comprehensive quantification of these flaws and the improvement of experiment reliability by repetition are impossible. However, they can be enhanced by altering the experimental strategy, enhancing the measurement methods, etc.
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Determine the node voltages in the circuit in Fig. 3.67 using nodal analysis. 30 V
The node voltages in the circuit using nodal analysis determined as v1= 30V ; v2=v3= 60V.
What does "nodal analysis" mean?Any electrical network may be solved using nodal analysis, which is what it is called. the formula used to determine how much voltage is shared across circuit nodes. Since the node voltages are with respect to the ground, this method is also referred to as the node-voltage method.
Nodal analysis : the node voltage was determined.
At node 2,
=> v2-v1/2 + v2-v3/2 - 15=0
=> -0.5v1 + v2 -0.5v3=15
At super node,
v2-v1/2 + v2-v3/2 -v1/4 -v3/8 =0
=> 2v1+v3 = 120
v1+30 = v3
Hence, solving all equation we get
v1= 30V ; v2=v3= 60V
Why do we employ nodal analysis?We can solve for voltage and current in a circuit using numerous KCL equations that we acquire from nodal analysis of the circuits. There are one fewer KCL equations needed than there are nodes in a circuit.
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the initial velocity of a ball thrown horizontally from the window of a building is 25 m/s. if the ball hits the street below in 3.5 s, then what was the height of the window? (g
If the ball hits the street below in 3.5 s, then 20m was the height of the window.
What is height ?
Height can refer to a person's or an object's vertical extension (how "tall" they are), their vertical location, or both (how "high" a point is). For instance, "That building is 50 metres high," or "An aeroplane flies at a height of about 10,000 metres."
What is velocity ?
The vectorial expression of velocity is the motion of a particle or object with regard to time. The standard unit of velocity magnitude is the metre per second (m/s), which is also known as speed.
Therefore, If the ball hits the street below in 3.5 s, then 20m was the height of the window.
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Consider a charged parallel-plate capacitor.How can its capacitance be halved?
Check all that apply.
Double thecharge.
Double theplate area.
Double theplate separation.
Halve thecharge.
Halve theplate area.
Halve theplate separation.
(A) The capacitor stores charge.
Therefore, having the ability to store charge is the best choice. (B) The air-filled parallel plate capacitors' expression is,is a measure of permittivity. The area of the plates is A, and their separation is d. The capacitance can be increased by either increasing the plate area or decreasing the distance between the plates.
Therefore, reducing the distance between the capacitor's plates is the best course of action.
(C) The capacitance of a parallel plate capacitor is directly proportional to the area of the plates and inversely proportional to the space between the plates. Therefore, the correct responses are "Double the plate separation and halve the plate area."
[tex]C=\frac{\epsilon_{o} A}{d}[/tex]
Here, [tex]\epsilon_{o}[/tex]
(D) The new capacitance is,
[tex]C^{1} =\frac{\epsilon_{o} A^{1} }{d^{1} }[/tex]
[tex]C^{1} =\frac{\epsilon_{o} 2A^{1} }{d^{1}/2 }[/tex]
[tex]C^{1} =4\frac{\epsilon_{o} A^{1} }{d^{1} }[/tex]
[tex]C^{1} =4C[/tex]
Therefore, the correct options are "Halve the plate separation and double the plate area".
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a roller coaster makes a vertical loop (without stopping) in which it is upside down at the top. will your sunglasses fall out of your pocket? group of answer choices no yes. you would need more information.
No, sunglasses in a pocket will stay in the pocket when going through a vertical loop on a roller coaster. The sunglasses will experience the same force.
What is the centripetal force?When a roller coaster goes through a vertical loop, the riders experience a force known as centripetal force, which pushes them towards the center of the loop. This force is what keeps the riders in their seats and prevents them from falling out of the coaster. The same force also applies to objects in a rider's pockets, such as sunglasses. The centripetal force pushes the sunglasses towards the center of the loop and against the walls of the pocket, keeping them securely in place.
What is roller coaster?Additionally, most roller coasters are designed with safety in mind, and the pockets on the seats and restraints are typically deep enough to keep smaller objects from falling out. So even if the sunglasses are not hold tightly by the centripetal force, the deep pockets will prevent them from falling out.
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Please help, thank you!
monochromatic light incident on a metal surface emits electrons with kinetic energies from zero to 2.6 ev. what is the least energy of the incident photon if the tightly bound electron needs 4.2 ev to remove?
The least energy of the incident photon if the tightly bound electron by the photoelectric effect needs 4.2 ev to remove is 6.8eV
When light with a high enough frequency is impacted upon a metal surface, a phenomena known as the photoelectric effect occurs when electrons are released from the metal surface. Heinrich Hertz first described the idea of the photoelectric effect in 1887, and Lenard followed in 1902. But Maxwell's idea of light as an electromagnetic wave was unable to account for either of the photoelectric effect data. Hertz, who had shown the validity of the wave theory, chose not to explore the issue because he was confident that the wave theory could account for it.
According to Einstein's equation,
[tex]E=W_{o} +KE[/tex]
Given,
[tex]W_{o_{max} } =\\[/tex]4.2eV
KE=2.6eV
E=4.2eV+2.6eV
E=6.8eV
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.
Cadir is basting a roast turkey with a meat baster that creates a pressure of 9.980X10^4Pa when the plastic bulb is squueesed and released. If turkey juice rises 0.0900 m up the tube of the baster, what is the density of the juice?
The density of the juice is 113,151.9 kg/m³.
What is the density of the juice?
The density of the juice is calculated by applying the following formula.
The formula for the pressure of the juice is given as;
P = ρgh
ρ = P / gh
where;
ρ is the density of the juiceP is the pressure of the juiceh is the height of rise of the juiceg is acceleration due to gravityThe density of the juice is calculated as follows;
ρ = P / gh
ρ = ( 9.98 x 10⁴ Pa ) / ( 9.8 m/s² x 0.09 m )
ρ = 113,151.9 kg/m³
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What is the relation of the colour with that of the capacity of the absorpttion of heat? Explain with an example.
Answer:
Explanation:
When an object appears of a certain color, when white light falls into it and illuminates it. It simply means that it is reflecting the light of that color and it has absorbed all other colors.
For example, the leaves are reflecting green light as it absorbs all other colors of light.
The more light the object absorbs, the more heat is absorbed since light is energy. If you consider it a color, black absorbs the most heat.
Another example is; You must have heard people saying don't wear black in the summers, it is because black color absorbs all wavelengths of light and reflects none.
Whereas, all the white-colored objects reflect all wavelengths of light and therefore absorb the least heat. Taking the earlier example, light-colored clothes are preferred to be worn in summer to stay cooler as they absorb the least amount of heat.
universe, provides a constant outward force that does not dilute as the universe expands. Pitted against this relentless push is the gravitational pull from the rest of the matter and energy in the universe. Early on, the universe was much denser than it is today
When scientists refer to the cosmos as expanding, they indicate that it has been expanding ever since the Big Bang, when the universe first began. Outside of our own galaxy, the galaxies are veering away from us.
What three sorts of universes are there?The universe can have one of three fundamental forms: a flat one with Euclidean or zero curvature, a spherical one with positive curvature, or an open one with hyperbolic curvature (negative curvature).
What is bigger than the universe?No, the universe contains every galaxy and solar system known to us. While the universe as a whole is composed of billions of galaxies, the Milky Way Galaxy alone includes hundreds of billions of stars, including our Sun.
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how can you show that electric currents create magnetic fields? check all that apply. how can you show that electric currents create magnetic fields?check all that apply. if you place a magnet near a closed circuit with current flowing, it will exert a force on the circuit wires. if you place a coil of wire near a magnet and direct a current through the coil, it will exert a force on the magnet, depending on its orientation. if you place two wires with currents perpendicular to each other, they will be attracted each other. if you position a charge near a wire with a current, it will be attracted or repelled by the wire.
The magnetic field created by a current-carrying wire will exert force on the wire if a magnet and wire are combined, hence the statement is true.
Describe a force.The word "force" has a clear definition. At this stage, calling a force a pull or a push is totally appropriate. A force is not a property an object "has though" or that it "includes." One thing encounters a force from another. There is no differentiation between living and non-living objects in the conception of either a force.
How does balance force work?symmetrical forces Forces that are equal in size and opposing in direction are said to be balanced forces. Equilibrium is regarded as a condition of equal forces. When forces are in equilibrium.
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The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 80 mm?.
Answer:
V = 4/3 π R^3 = 4/3 π (D/2)^3 = 1/6 π D^3
dV / dD = 1/2 π D^2 rate of change of volume related to diameter
dV = 1/2 π D^2 dD
dV = 1/2 π 80^2 * 4 mm^3 the radius increases at 1/2 the speed of the diameter
dV = 40,200 mm^3/s
dave throws a ball upward with an initial velocity of 23 ft per second. the ball initially leaves his hand 5ft. above the ground and eventually falls back the ground. in parys (a)-(d), you will answer the following questions: what is the maximum height reached by the ball? after how many seconds will the ball reach its maximum height? how long will it take to reach the ground?
The maximum height reached by the ball is 5.75ft , the time taken by the ball to reach is 0.71 sec and the time taken to reach the ground is 0.90 sec.
What is law of gravity?
Every particle in the universe attracts every other particle with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between their centers, according to Newton's law of universal gravitation.
a) The maximum height reached by the ball can be calculated using the formula: h = vi^2/2g + h0, where h is the maximum height, vi is the initial velocity (23 ft/s), g is the acceleration due to gravity (-32 ft/s^2), and h0 is the initial height (5 ft). Plugging in these values, we get:
h = (23^2)/(2*-32) + 5 = 5.75 ft.
b) The time it takes for the ball to reach its maximum height can be calculated using the formula: t = -vi/g, where t is the time and vi and g have the same meanings as above. Plugging in the values, we get:
t = -23/(-32) = 0.71875 seconds.
c) The time it takes for the ball to fall back to the ground can be calculated using the formula: t = 2h/g, where h is the maximum height and g has the same meaning as above. Plugging in the values, we get:
t = 25.75/(-32) = 0.90625 seconds.
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Arevolving space station has radius of 250 m and a centripetal acceleration of 0.0048 m/s. What is the linear velocity of the outside edge of the station?
0.076 m/s
300 m/s
11m/s
230 m/s
The linear velocity of the outside edge of the station is 1.1 m/s.
How is the linear velocity determined?The equation for linear velocity is v = d/t, at which v stands for speed, d for distance, and t for time. The meter per seconds, or m/s, is the SI unit for linear velocity (ms-1). M0L1T-1 is the linear velocities dimensional formula.
The value of centripetal force is
F = mv^2/r
above equation as we know that m is the mass of the object rotating
Now as we know that
F = ma
where a is the acceleration
ma = mv^2/r
a = v^2/r
v= [tex]\sqrt{ar}[/tex]
= 1.1 m/s
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ice has formed on a shallow pond and a steady state has been reached, with the air above the ice at -5.0oc and the bottom of the pond at 4.0oc. if the total depth of ice water is 1.4 m, how thick is the ice? take the thermal conductivity of ice as 1.6 wm-1k-1 and that of water as 0.50 wm-1k-1.
Ice has formed on the surface of a, and a temperature balance has been achieved between the air above the ice (-5.0 °C) and the bottom of the pond (4.0 °C). The earth's temperature is = 296.946K.
What does being steady mean?adjective. When you describe someone as steady, you're referring to their dependability and common sense. He was powerful and stable, in contrast to other people she had met. reliable, wise, reasonable, and fair are synonyms for additional phrases for constant
Calculation
r₁= 0.05m
r₂= 0.08m
Tn =Ti = 77K
Ki = 0.0035 Wm-1K-1
Kg = 1 Wm-1K-1
Z= 2m
Now,
The outer type temperature (Skin temperature pipe)
Q = T₀ -T₁/ln (r2/r1)/2πKi = 2πKi T0 -T1/ln (r2/r1)
Thus,
10 w/m = 2π * 0.0035 = T0 -77/ln 0.08/0.05
⇒ T₀ -77 = 231.72
T₀= 290.72K
The shape factor between the cylinder and he ground
S = 2πL/ln 4z/D
where L = length of pipe
D = outer layer of pipe
S = 2π * 1/4 *2/ 2 * 0.08 = 1.606m
The heat gained in the pipe is = S * Kg * (Tg- T₀)
(10* 1) = 1.606 * 1* (Tg- 290.72)
Tg - 290.72 = 6.2266
Tg = 296.946K
Therefore the surface temperature to the ground is 296.946K
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The gravitational force between two objects is proportional to 1/R (and not as 1/R² ) where R is separation between them, then a particle in a circular orbit under such a force would have its orbital speed ν proportional toA. 1/R² B. R drajatC. R^1 D. 1/R
The correct answer is D. 1/R. This is because the gravitational force between two objects is proportional to 1/R, so the orbital speed of a particle in a circular orbit would also be proportional to 1/R.
What is gravitational force?Gravitational force is the force of attraction between two objects with mass. It is a natural phenomenon that exists between all objects in the universe and is one of the four fundamental forces of nature, along with the strong and weak nuclear forces and electromagnetic force. Gravitational force acts instantaneously across large distances and is equal in magnitude and opposite in direction for the two objects involved. It is the weakest of the four forces, but it has the longest range, acting on all matter, even particles and particles of light.
This is because the particle is constantly experiencing the same gravitational force, so the magnitude of the orbital speed must be equal to the magnitude of that force divided by the mass of the particle. Therefore, the orbital speed of the particle is proportional to 1/R.
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compared to its average speed in air, the average speed of a beam of light in glass is
A) the same. B) more. C) less.
"Compared to its average speed in air, the average speed of a beam of light in glass is less."
The expression for refractive index of a medium is given as, μ = c/ν
where,
μ is the refractive index of the medium
c is speed of light in the vacuum
ν is the speed in the medium of refractive index μ
As, the speed of light in vacuum is constant, μ ∝ 1/ν
Any media's refractive index and the speed of light in that medium are inversely related. Given that glass has a greater refractive index than air, light travels slower through glass than through air. So, option (A) and (B) are incorrect and option (C) is correct.
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a parking brake select one: a. is used to secure a vehicle when parked. b. can be called an emergency brake because it will always stop you if your brakes fail. c. is used to secure a vehicle only when parked on a steep incline. d. will not allow a vehicle to move if in place.
A parking brake select one , can be called an emergency brake because it will always stop you if your brakes fail.
What's the difference between break and brake?Break means to cause something to separate into pieces, either by violently hitting it or dropping it. Brake refers to a device used to reduce the speed of a moving vehicle or to stop it by pressing it.
Which one is the brake?Just below the steering wheel, you'll generally find two pedals. The brake pedal is on the left side regardless of whether it is a left or right-hand drive car. You have to depress the brake to slow down or bring your car to a halt.
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: what type of star is several thousand times brighter than the sun with a temperature that is much cooler than the sun? claim: i claim that the star would be classified as a main sequence star. evidence: the main sequence stars go across the hr diagram diagonally. there are main sequence stars that are thousands of times brighter and thousands of times dimmer than the sun. there are main sequence stars at all different temperatures. reasoning: the hr diagram is a model that we use to show how stars compare to each other. there are different types of stars. the type of star depends on how bright the star is, which is called luminosity, and how hot the star is which is shown as temperature in kelvin. write a rebuttal to marissa's conclusion. your rebuttal should include an alternative claim, sufficient evidence, and reasoning that explain why your alternative claim more correctly answers the guiding question. next, critique marissa's cer. what were the strengths and weaknesses of marissa's conclusion?
The most prevalent type of star in the universe is a red dwarf.These stars belong to the main-sequence, but because of their low mass, they are far colder than stars like the Sun.
Which star is many times brighter and hotter than the Sun?The second region contained the record-breaking star, R136a1.The star may have been 320 times as massive as the sun when it was born.It was discovered that several of the stars had surface temperatures over 40,000C, or more than seven time hotter than the sun.
Which sort of star has a 4000K surface temperature and a Sun-like luminosity of 1000 times higher?an ice giant.The sun will start combining helium when it runs out of energy and is unable to longer fusing hydrogen inside its core, shining with a luminance of 1000 L but with a temp of 4000 K.
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A point charge qı = -4.00 nC is at the point x = 0.60 m, y = 0.80 m, and a second charge q2 = +6.00 nC is at the point x = 0.60 m, y = 0
Calculate the direction of the net electric field at the origin due to these two point charges.
φ = .... ?
The direction of the net electric field at the origin due to these two point charges is 77.4°.
What is electric field?The physical field that encircles electrically charged particles and exerts force on all other charged particles with in field, either attracting or repelling them, is known as an electric field. It also describes the physical field of a system of charged particles. Electric charges and time-varying electric currents are the basis of electric fields. The electromagnetic field, one of the four basic interactions of nature, manifests itself in both electric and magnetic fields.
Electric fields play a significant role in many branches of physics and are used in electrical engineering. For instance, in atomic physics and chemistry, the electric field acts as the attractive force that holds the atomic nucleus and electrons together in atoms. It is also the force that causes atoms to bond chemically to form molecules.
Part A
The equation for the magnitude of the electric field at the origin for both points is given by:
[tex]$E=\frac{k q}{r^2}[/tex]
[tex]$$Substituting in the appropriate values for each charge yields$$E_1=\frac{\left(8.99 \times 10^9\right)\left(4 \times 10^{-9}\right)}{\left.\sqrt{0.6^2+0.8^2}\right)^2}=35.9 \mathrm{~N} / \mathrm{C}$$The charge is located at an angle of $\theta=\tan ^{-1} \frac{0.8}{0.6}=53.1^{\circ}$ this means $\mathrm{i}$ and $\mathrm{j}$ components for $E_1$$$\begin{aligned}& E_{1 i}=35.9 \cos 53.1=21.5 i \mathrm{~N} / \mathrm{C} \\& E_{1 j}=35.9 \sin 53.1=28.7 j \mathrm{~N} / \mathrm{C}\end{aligned}[/tex]
[tex]$$Since $E_2$ is directly on the axis it can be calculated as:$$E_2=\frac{\left(8.99 \times 10^9\right)\left(6 \times 10^{-9}\right)}{\left.\sqrt{0.6^2}\right)^2}=149.8 \mathrm{i} \mathrm{N} / \mathrm{C}$$The net field is$$E=E_1+E_2=-21.5 i+28.7 j+149.8 i=128.3 i+28.7 j$$The magnitude is thus:$$\sqrt{128.3^2+28.7^2}=131.4 \mathrm{~N} / \mathrm{C}$$Part BThe direction is:$$\theta=\tan ^{-1} \frac{128.3}{28.7}=77.4^{\circ}$$[/tex]
Thus, the direction of the net electric field at the origin due to these two point charges is 77.4°.
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Ava is looking to purchase a new TV. She is looking at one that states it is 55 inches. TV screens are measured by the TV screen diagonal. If the TV screen measures 27 inches high, which is the correct equation to use to find the width, w, of the TV
Hypotenuse squared is equal to height squared plus base squared, which is 3025 - 729 = 2296 b, or 47.9 inches.
How is the hypotenuse located?two equal triangle legs are provided.
Calculate calculated hypotenuse from the sides of a right triangle using the Pythagorean theorem. Sum of squares is represented by the square root c = (a2 + b2).
When using one side and two sides, “ how did you find the hypotenuse?If you own an angle and its opposite side, you may calculate the hypotenuse by dividing the length of the opposing side by sin(). To find the value of the side next to the angle, you can also divide it length by tan().
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When the surroundings did 75 kj of work on a system, its internal energy increased by 45 kj. how much energy did the system gain or lose as heat?
The required amount of heat energy lost in a system when surroundings performed certain amount of work and when internal energy is increased is calculated to be - 30 kJ.
Given that,
Work done on the system w = 75 kJ
Internal energy ΔU is increased by 45 kJ
Heat energy q lost or gained by the system = ?
From the first law of thermodynamics, mathematically, expression can be written as, ΔU = q + w
q = ΔU - w = 45 kJ - 75 kJ = - 30 kJ
The negative sign indicates that the heat energy is lost.
Thus, the amount of heat energy lost in the system is - 30 kJ.
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in an elliptical orbit of a planet around the sun, the sun sits at one focus, what sits at the other?
In an elliptical orbit of a planet around the sun, the sun sits at one focus and there is nothing at the other focus.
What is the solar system?We know that in the solar system, we have the sun at the focus or the center of a set of concentric circles that is composed of the planets. We know that the planets.
We have to note that in accordance with the Kepler's law, the only thing that we can be able to find at the center of the solar system is the sun and we do not find any other thing at the focus.
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In 1995, Karine Dubouchet of France reached a record speed in downhill skiing. If Dubouchet’s mass was 51 kg, her kinetic energy would have been 99600 J. What was her speed?
The kinetic energy of Karine Dubouchet of France is 99600, her mass was 51kg. So, her speed at that time will be 62.49m/s.
What is Kinetic energy?Kinetic energy is the energy which is present in the body of an object which is under motion. This energy is converted into potential energy when the object comes at rest. The SI unit of Kinetic energy is Joules (J). It is directly proportional to the mass and velocity of the object.
KE = 1/2 × m × v²
where, KE = Kinetic energy of the body,
m = mass of the body,
v = velocity of the body
Here, the Kinetic Energy is 99600 Joules and mass is 51 kg. Therefore, the speed or velocity of the object can be calculated as:
KE = 1/2 × m × v²
2KE/m = v²
√2KE/m = v
√2×99600/51 = v
√199,200/51 = v
√3,905.9 = v
v = 62.49m/s
Therefore, the speed or velocity of Karine Dubouchet is 62.49m/s.
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Figure 9-23 shows an overhead view of three particles on which external forces act.The magnitudes and directions of the forces on two of the particles are indicated. What are the magnitude and direction of the force acting on the third particle if the center of mass of the three-particle system is (a) stationary, (b) moving at a constant velocity rightward, and (c) acc
(a) The magnitude and direction of the force acting on the third particle is zero, as the center of mass of the three-particle system is stationary.
(b) The magnitude and direction of the force acting on the third particle is equal in magnitude but opposite in direction to the force of the other two particles, as the center of mass of the three-particle system is moving at a constant velocity rightward.
(c) The magnitude and direction of the force acting on the third particle is equal in magnitude but opposite in direction to the acceleration of the center of mass of the three-particle system.
What is center of mass?
Center of mass (also known as the center of gravity) is the average location of all the mass in a system.
It is the point at which the entire mass of an object can be assumed to be concentrated. It is used to calculate the force of gravity acting on an object, as well as its response to forces applied to it.
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