The gain of kinetic energy at 5 m above ground will be mg(h - H) joules.
Given that:
Initial height, h = 10 m
Final height, H = 5 m
Initial velocity, u = 0 m/s
The mechanical energy is the sum of potential energy (PE) and kinetic energy (KE). At the starting point, when the diver is 10 m above the water surface, all the energy is in the form of potential energy since the diver is at rest. Then the equation is given as,
0.5mu² + mgh = 0.5mv² + mgH
mgh = KE(gain) + mgH
KE = mgh - mgH
KE = mg(h - H)
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Romeo (77kg) sings to Juliet (55kg) in the rear of a rowboat. He is 2.7 m away from Juliet. After the song, Juliet carefully moves to the rear of the boat (away from the shore) to kiss Romeo. How far from the shore does the 80 kg boat move
Since the distance between them is 2.7 meters, the boat will also move a distance of 2.7 meters for Juliet to meet Romeo.
DISPLACEMENTDisplacement is the distance travelled in a specific direction. It is a vector quantity.
Given that Romeo (77kg) sings to Juliet (55kg) in the rear of a rowboat and he is 2.7 m away from Juliet. If after the song, Juliet carefully moves to the rear of the boat (away from the shore) to kiss Romeo which is 2.7 meters away, the distance covered by the 80 kg boat will also be equal to 2.7 m.
Since the distance between them is 2.7 meters, the boat will also move a distance of 2.7 meters for Juliet to meet Romeo.
Therefore, the answer will be 2.7 m
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Help me out i geuss ill do the other page myself if someone explains it
Answer:
I think firs one is 30
second one is 4
third one is 12
I am not sure about my answers.
if you 235lb traviling north at 75mph and strike a 150 lb deer going 35mph east what is the force
We need to use the formula: Force = Mass × Acceleration Let's use the given values to calculate the force exerted on the deer when it is hit by the car. The car weighs 235 lb and it is traveling north at 75 mph. The deer weighs 150 lb and it is going 35 mph east. Force = 44045 lbSince the force is a vector quantity, it has both magnitude and direction.
Step 1: Convert the velocities into feet per second.1 mile = 5280 feet1 hour = 3600 seconds So, the velocity of the car is:75 mph = (75 × 5280) ÷ 3600 = 110 feet/secondThe velocity of the deer is:35 mph = (35 × 5280) ÷ 3600 = 51.3 feet/second
Step 2: Find the components of velocity of the deer. The velocity of the deer is in the east direction, so we need to find its horizontal component, vx, and its vertical component, vy. If the angle between the deer's velocity and the x-axis is θ, then: vx = v × cosθandvy = v × sinθv = 51.3 feet/secondθ = 90° - arctan(0 / 110) = 90°So,vx = 51.3 × cos90° = 0 feet/second vy = 51.3 × sin90° = 51.3 feet/second
Step 3: Find the net velocities of the car and the deer. Since the car is moving north and the deer is moving east, the net velocity of the car and deer together can be found using the Pythagorean theorem. Net velocity = √[(vx + 110)² + vy²]Net velocity = √[(0 + 110)² + (51.3)²]Net velocity = √(12100 + 2631.69)Net velocity = √14731.69Net velocity = 121.3 feet/second
Step 4: Find the net momentum of the car and the deer. Net momentum = (mass of car × velocity of car) + (mass of deer × velocity of deer)Net momentum = (235 × 110) + (150 × 121.3)Net momentum = 25850 + 18195Net momentum = 44045 lb ft/second
Step 5: Find the force exerted on the deer. Force = Net momentum ÷ time Here, time is the duration of the collision which is not given in the problem. We will assume it to be 1 second. Force = 44045 ÷ 1
Force = 44045 lb Since the force is a vector quantity, it has both magnitude and direction. The direction of force is along the line of impact which is not given in the problem.
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A cross- country skier moves from location A to location B to location C to location D. Each leg of the back and forth motion takes 1 minute to complete; the total time is 3 minutes . Wes =0 min t - 2min t = 3mim t = 1min 100 What is the distance travelled by the skier in the first 3 minutes? What is the net displacement of the skier in the first 3 minutes? - What is the displacement during the second minute? What is the displacement during the third minute?
Answer:
hello some parts of your question is missing attached below is the missing part
Answer :
a) 360 m
b) 120 m ( eastward )
c) -120 m ( westward )
d) 80 m ( eastward )
Explanation:
given data:
Each leg time = 1 minute
Total time = 3 minutes
t=0 t= 2 t = 3 t = 1
xo =0 x2 = 40 x3 = 120 x1 = 160
a) Distance travelled by skier in first 3 minutes
d = | x1 - xo | + | x2 - x1 | + | x3 - x2 |
= 160 + 120 + 80 = 360 m
b) net displacement in first 3 minutes
s = ( x1 -x0 ) + ( x2 - x1 ) + ( x3 -x2 )
= 120 m ( eastward )
c) displacement during the second minute
s1 = x2 - x1 = 40 - 160 = -120 m ( westward )
d) displacement during the third minute
s2 = x3 - x2 = 120 - 40 = 80 m ( eastward )
(a) The distance traveled by the skier in the first 3 minutes is 360.
(b) The displacement of the skier during the second minute is 120 west.
(c) The displacement of the skier during the third minute is 80 east.
The given parameters;
distance traveled in 1 min = 160 distance traveled in 2 min = 20distance traveled in 3 min = 120The distance traveled by the skier in the first 3 minutes is calculated as follows;
\(x = (120 - 40) + 120 + 160\\\\x = 360\)
The displacement of the skier during the second minute is calculated as follows;
\(x= (x_2 - x_1)\\\\x = 40 - 160\\\\x = -120 \ \\\\x = 120 \ west\)
The displacement of the skier during the third minute is calculated as follows;
\(x = (x_3 - x_2)\\\\x = 120 - 40\\\\x = 80 \ east\)
"Your question is not complete, it seems to be missing the following information"
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What is the mechanical advantage of the wheel and axle shown below?
02 in
24 in
А. 55.0
В. 120
С. 4.8
D. 95.2
Answer:
B. 120
Explanation:
24/.2 = 120
Answer:
120
Explanation:
24/0.2 = 120
A student learns that the sun is classified as a medium-size star and that many stars are much bigger and brighter. However, the student observes that other stars look very dim, even through a telescope. Why do other stars look much dimmer than the sun?.
Explanation:
there are 2 factors :
1. distance : the farther away the dimmer the star appears, even if it is actually brighter than the sun.
2. the basic size and brightness of the other star. as the sum is a medium-sized star, it means that there are also many stars that are smaller and/or dimmer than our sun.
Using the graph below answer the following questions about the Photo-electric effect.
a) What is the work function of the experimental photo-missive material?
b) What the threshold frequency of the experimental photo-missive material?
c) If the incoming frequency is 8.0 E14 Hz what would be the maximum kinetic energy of the most energetic electron?
d) If the incoming photon had a wavelength of 500.0 nm would you have a photo-electron ejected?
e) If you use a different experimental photo-missive material what would be the same on the graph?
f) What is the slope of the graph?
(a) The work function is 1.98 x 10⁻¹⁹ J.
(b) The threshold frequency is 3 x 10¹⁴ Hz.
(c) The maximum kinetic energy of the most energetic electron is 3.32 x 10⁻¹⁹ J.
(d) Photo-electron would be ejected.
(e) The only constant parameter would be speed of the photon.
(f) The slope of the graph is 6.67 x 10⁻³⁴ J.s
What is the work function of the experimental photo-missive material?(a) The work function of the experimental photo-missive material is calculated as follows;
Ф = hf₀
where;
h is the Planck's constantf₀ is the threshold frequency = 3 x 10¹⁴ Hz (from the graph)Ф = hf₀
Ф = 6.626 x 10⁻³⁴ x 3 x 10¹⁴
Ф = 1.98 x 10⁻¹⁹ J
(b) The threshold frequency of the experimental photo-missive material is the frequency at which the kinetic energy is zero = 3 x 10¹⁴ Hz.
(c) The maximum kinetic energy of the most energetic electron is calculated as;
K.E = E - Φ
K.E = ( 6.626 x 10⁻³⁴ x 8 x 10¹⁴) - 1.98 x 10⁻¹⁹ J
K.E = 3.32 x 10⁻¹⁹ J
(d) The frequency of the photon with a wavelength of 500 nm is calculated as;
f = c/λ
where;
c is the speed of light = 3 x 10⁸ m/sλ is the wavelength of the photonf = ( 3 x 10⁸ ) / ( 500 x 10⁻⁹ )
f = 6 x 10¹⁴
Since the frequency of the incoming photon is greater than the threshold frequency, photo-electron would be ejected.
(e) If you use a different experimental photo-missive material the only parameter that would be the same on the graph is speed of photon.
(f) The slope of the graph is calculated as;
m = (2.5 eV - 0 eV) / [(9 - 3) x 10¹⁴]
m = (2.5 ev) / (6 x 10¹⁴)
m = (2.5 x 1.6 x 10⁻¹⁹ ) / (6 x 10¹⁴ )
m = 6.67 x 10⁻³⁴ J.s
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Among the reasons for the frequent use of composite measures is(are) that:
a. the researcher is seldom able to develop in advance single indicators of complex concepts.
b. a single data item might not have enough categories to provide a range of variation.
c. composite measures give a more comprehensive and accurate indication of a given variable.
d. they are efficient data reduction devices.
e. all of these choices.
Among the reasons for the frequent use of composite measures is that they give a more comprehensive and accurate indication of a given variable. Besides, the researcher is seldom able to develop in advance single indicators of complex concepts. A single data item might not have enough categories to provide a range of variation. And lastly, they are efficient data reduction devices.
So, the correct answer is option (e) all of these choices.
What are composite measures?Composite measures are used to combine several variables or scores into a single measurement or index. In other words, they are multidimensional measurement tools. It is useful to make this kind of index because it is possible to calculate the reliability and validity of composite measures, which are statistical measures that indicate whether or not the measurements were conducted accurately or are otherwise legitimate.
For example, if a researcher wants to assess the economic development of a country, he/she could create a composite measure by combining data on GDP per capita, literacy rates, and poverty rates. In this case, each of the three variables reflects a different aspect of economic development.
So, the correct answer is E.
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If a conductor is connected to "ground", then what is the charge on it?
positive
neutral
negative
determined by other nearby charges
If the conductor is connected to the ground, then it has a neutral charge.
Earth acts as a zero potential ground. So when you connect a positively charged conductor to the ground, the positive charge flows into the ground, resulting in the flow of electrons from the ground to the conductor. A ground wire acts as protection against unstable currents.
Under normal circuit conditions, no current flows through the ground wire. However, when an electrical accident such as a short circuit occurs, the ground wire removes the unstable current from the electrical system and leads it to the ground. The ground wire can be finger-safe as long as there is no electrical surge that causes current to flow through the ground wire.
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A circuit element that hinders the flow of current:
O A. can never be used in a parallel circuit.
OB. increases the energy flow in the circuit.
OC. is called a resistor.
OD. allows excess accumulation of charge.
A circuit element that hinders the flow of current is called a resistor.
Nearly all electronic circuit boards use resistors, which are passive parts. The name "resistor" comes from the resistor's function of exhibiting resistance to current flow.
Resistance is the opposition to the current flow that a resistor exhibits and each resistance is identified by its resistance value in Ohms.Consider a resistor as a basic wire that offers resistance and tries to reduce the passage of electrons, or current, rather than permitting the free flow of electrons through it. Materials like carbon, metal, or metal oxide film are frequently used to make resistors. The kind and quantity of the combination or material that makes up a resistor determines its resistance property. There are two ways to use multiple resistors: in series and parallel.Learn more about resistors here:
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assume a perfect engine exists and it performs 100 j of work each cycle. how much heat is input each cycle?
The input heat of the perfect engine in each cycle operation is 100 J.
What is a perfect engine system?A perfect heat engine system is a type of system in which the efficiency of the system is 100 percent.
In this type of system, the input heat energy must be equal to the output heat energy.
The amount of heat input each cycle is calculated by applying the formula for efficiency of the system.
Efficiency = (output work / input heat) x 100%
The engine is perfect, so it has an efficiency of 100%
100% = W / 100J x 100%
W = 100 J
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Which change in oxidation number indicates oxidation.
The change in oxidation number that indicates oxidation is an increase in the oxidation number of an element within a chemical reaction.
Oxidation is a process where an atom, ion, or molecule loses one or more electrons, resulting in an increase in its oxidation number. This typically occurs when a chemical species interacts with an oxidizing agent, which accepts electrons and becomes reduced in the process. In an oxidation-reduction (redox) reaction, the substance that undergoes oxidation donates electrons to the species undergoing reduction.
For example, when elemental iron (Fe) reacts with oxygen (O²) to form iron oxide (Fe²O³), the oxidation number of iron increases from 0 in its elemental state to +3 in the compound. The oxygen, on the other hand, has its oxidation number decreased from 0 in its elemental state to -2 in the compound, indicating that it has undergone reduction. Overall, recognizing the change in oxidation number is vital for understanding the nature of redox reactions and identifying which species are oxidized and reduced. The increase in oxidation number is the key indicator of oxidation, while a decrease signifies reduction, so the correct answer is an increase in the oxidation number of an element within a chemical reaction.
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a bomb sitting at rest on a table explodes into four pieces of equal mass. the first piece travels to the south at a velocity of 55.0 m/s. the second piece travels to the west at a velocity of 80.0 m/s. the third piece travels at a velocity of 40.0 m/s [30.0 w of n]. what is the velocity of the fourth piece?
The velocity of the fourth piece after the explosion is 118.5 m/s at 14.7⁰ east of north.
Conservation of linear momentumThe principle of conservation of linear momentum states that the sum of the initial momentum is equal to sum of final momentum.
Initial momentum of the bomb before explosion is equal to the final momentum of pieces of bomb after explosion.
Pi = Pf
0 = P₁ + P₂ + P₃ + P₄
0 = mv₁ + mv₂ + mv₃ + mv₄
0 = v₁ + v₂ + v₃ + v₄
Resolve the velocity into x and y componentsConsider x-y plane for the velocity of the piece of bomb;
Let southward = negative directionLet northward = positive directionLet eastward = positive directionLet westward = negative direction\(0 = (v_1x + v_1y) + (v_2x + v_2_y) + (v_3x + v_3_y) + (v_4_x + v_4_y)\\\\0 = (0 - 50y) + (-80x + 0) + (-40cos30x + 40sin30y) + (v_4_x + v_4_y)\\\\0 = -50y -80x - 34.64x + 20y + v_4_x + v_4_y\\\\0 = -30y - 114.64x + v_4_x + v_4_y \\\\v_4_x + v_4_y = 114.64x + 30y\\\\|v_4| = \sqrt{114.64^2 + 30^2} \\\\|v_4| = 118.5 \ m/s\\\\tan(\theta ) = \frac{30}{114.64} \\\\tan(\theta) = 0.262\\\\\theta = tan^{-1} (0.262)\\\\\theta= 14.7 \ ^0\)
Thus, the velocity of the fourth piece is 118.5 m/s at 14.7⁰ east of north.
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g what is the minimum diameter for an objective lens that will just barely resolve jupiter and the sun? the radius of jupiter's orbit is 780 million km
The minimum diameter for an objective lens that will just barely resolve Jupiter and the Sun is 5.3 mm.
What is diameter ?Diameter is a term used to describe the width of an object, typically a circle. It is the length of a straight line passing through the center of a circle, and is the longest possible distance between two points on the circle. Diameter is also used to measure the size of many other shapes, such as ellipses, hexagons, and rectangles. Diameter can also refer to the size of a cylinder or a cone.
The minimum diameter for an objective lens that will just barely resolve Jupiter and the Sun is determined by the angular resolution of the lens. To calculate this, we can use the formula:
Angular Resolution = 1.22 * (wavelength/(diameter of the objective lens))
Assuming a wavelength of 550 nm (the average visible light wavelength), the diameter of the objective lens is calculated as follows:
Diameter of Objective Lens = 1.22 * (550 nm/Angular Resolution)
Since the radius of Jupiter's orbit is 780 million km, the angular resolution of the lens must be at least 780 million km/1.22, or 641 million km. Plugging this into the formula, we get:
Diameter of Objective Lens = 1.22 * (550 nm/641 million km)
Diameter of Objective Lens = 5.3 mm
Therefore, the minimum diameter for an objective lens that will just barely resolve Jupiter and the Sun is 5.3 mm.
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During which type of process applied to an ideal gas is there no change in internal energy of the gas?
a) isobaric
b) isochoric
c) isothermal
d) adiabatic
e) Internal energy changes during any of these processes.
The correct answer to the question is c) isothermal.
During an isothermal process applied to an ideal gas, there is no change in the internal energy of the gas. In an isothermal process, the temperature of the gas remains constant throughout the process. This means that the average kinetic energy of the gas molecules remains the same.
Since internal energy is directly related to the average kinetic energy of the gas molecules, when the temperature is constant, the internal energy also remains constant. This is because the increase in energy due to compression is balanced by the decrease in energy due to expansion, resulting in no net change in internal energy.
To illustrate this, let's consider an example of a gas confined in a cylinder with a movable piston. During an isothermal compression of the gas, work is done on the gas to decrease its volume. However, since the temperature remains constant, the gas molecules do not gain any additional kinetic energy. The work done on the gas is equal to the heat extracted from the gas, resulting in no change in the internal energy.
In contrast, during an isobaric process, the pressure of the gas remains constant while the volume may change. In an isochoric process, the volume remains constant while the pressure may change. In an adiabatic process, no heat is exchanged between the gas and its surroundings. In all these processes, there may be a change in the internal energy of the gas.
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what is the brightest star in the lyra constellation?
The brightest star in the constellation Lyra is Vega. Vega is a bluish-white main-sequence star located approximately 25 light-years away from Earth.
It is one of the most prominent stars in the northern sky and is easily recognizable due to its brightness.
Vega is considered one of the three stars that form the Summer Triangle, along with Altair in Aquila and Deneb in Cygnus. These stars are visible during the summer months in the Northern Hemisphere and are used as prominent markers in the night sky.
Vega is also of significant astronomical importance as it served as the reference star for the calibration of the magnitude scale. Its spectral type and luminosity have been used as a standard for comparison with other stars.
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The net force on a vehicle that is accelerating at a rate of 1.2 m/s2 is 1500 newtons. What is the mass
of the vehicle to the nearest kilogram?
A. 180 kg
B. 125 kg
C. 1800 kg
D. 1250 kg
Answer:
D. 1250kg
Explanation:
Given
Force (F) = 1500N
Acceleration (a) = 1.2m/s²
Required
Determine the mass (m) of the vehicle
To solve this, we'll apply the following formula used in calculating force on an object.
Force(F) = Mass(m) * Acceleration (a)
Substitute values for F and a
1500N = m * 1.2m/s²
Make m the subject of formula
m = 1500N ÷ 1.2m/s²
m = 1250kg
Hence, the mass of the vehicle is 1250kg
If the speed of an object does not change the object Is traveling at _____speed
If the speed of an object does not change the object Is traveling at a constant speed
When volcanoes erupt, they emit large plumes of hot smoke and ash, which can spread and cover miles of sky. Which process lifts the hot, black clouds into the sky?
radiation that causes thermal energy to transfer into the clouds and hold them together
conduction that causes thermal energy to pass from the smoke into the ground
convection that causes warmer air to rise and cooler air to sink into its place
conduction that causes warmer air to spread and cooler air to condense into clouds
Conduction that causes warmer air to spread and cooler air to condense into clouds. The correct option is option (d).
How does energy transfer happen?
A common instance of energy transfer that we see in daily life is the transfer of kinetic energy—the energy associated with motion—from a moving object to a stationary object through work. In physics, "work" is a measure of energy transmission that characterizes the force an item applies across a distance.
Energy cannot be created or destroyed, meaning that the total amount of energy in the universe has always been and will always be constant. However, this does not mean that energy is immutable; it can change form and even transfer between objects.
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calcula el potencial electrico de un punto B que se encuentra a 75cm de una varga positica q=9×10-6c
Answer:
V = 72000 volts
Explanation:
calculates the electric potential of a point B that is 75cm from a positive charge q = 9 × 10-6c
Given that,
Electric charge, \(q=9\times 10^{-6}\ C\)
We need to find the electric potential of a point B that is 75 cm from this charge. The formula for the electric potential is given by :
\(V=\dfrac{kq}{r}\\\\V=\dfrac{9\times 10^9\times 6\times 10^{-6}}{0.75}\\\\V=72000\ V\)
So, the electric potential is equal to 72000 Volts.
Explain results here. do x and y satisfy the equation of a circle? why or why not? how does the vector output at the end confirm your answer?
The general equation of a circle in Cartesian coordinates is given by:
\((x - h)^2 + (y - k)^2 = r^2,\)
where (h, k) represents the coordinates of the center of the circle, and r represents the radius. Without the specific equation, we cannot determine if x and y satisfy it.
A circle is a two-dimensional geometric shape that is perfectly round and symmetrical. It is defined as a set of points that are equidistant from a central point called the center. The distance from the center to any point on the circle is called the radius, and it is the same for all points on the circle.
A circle is often represented by the symbol "⚪" or by writing its name. It is a fundamental concept in geometry and mathematics, and it has numerous properties and applications in various fields.
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An isolated conducting rod of length 8.00 cm is oriented parallel to the x-axis. it moves in the y-direction at 3.90 m/s in the presence of a uniform magnetic field of magnitude 0.600 t that points in the -z-direction. find the magnitude of the motional emf in the rod.
The magnitude of the motional emf in the rod is 0.1872 when an isolated conducting rod of length 8.00 cm is oriented parallel to the x-axis. The speed of rod in y-direction is 3.90m/s.
Given an isolated conducting rod of length (l) = 8.00 cm = 8x10-2m
it moves in the y-direction at (v) = 3.90 m/s
uniform magnetic field of magnitude (B)= 0.600T
Let the magnitude of the motional emf in the rod be E
We know that E = BxlxV
E = 0.600T x 3.90m/s x 8x10-2m = 18.72x10-2
Hence the magnitude of the motional emf in the rod is 0.1872
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004 (part 1 of 3) 10.0 points
Two moles of helium gas initially at 410 K
and 0.47 atm are compressed isothermally to
1.34 atm.
Find the final volume of the gas. Assume
that helium behaves as an ideal gas. The
universal gas constant is 8.31451 J/K · mol.
005 (part 2 of 3) 10.0 points
Find the work done by the gas.
Answer in units of kJ.
006 (part 3 of 3) 10.0 points
Find the thermal energy transferred.
Answer in units of kJ.
The final volume of the gas, work done, and the thermal energy transferred is mathematically given as
vf=0,0623m^2
W=-4.03KJ
Q=-4.03KJ
What are the final volume of the gas, work done, and the thermal energy transferred?
Generally, the equation for the ideal gas is mathematically given as
Pv=nRT
Therefore
vf=nRT/P
vf=2*8.314330/1*1.01*10^3
vf=0,0623m^2
In conclusion
vi=nRT/Pi
vi=0.1175m^3
w=pdv
w=2*8.314*330in()0.0623/0.117
W=-4.03KJ
Where
Q=W
Q=-4.03KJ
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2. Use delta to wye resistance. transformation to find the total Also, determine the total current. 100 V (+ 2002 N 40 M 1965 120V I₁ 50 3.0 100 92 M- W Io 302 10 N 270 3.Reduce the circuit to a single loop network using source transformation then find lo. N62 $452 N 82 182 4022 3A
The total resistance in the circuit is 144Ω, and the total current is approximately 0.694A.
To find the total resistance and total current in the given circuit, let's break down the steps:
1. Delta to Wye Transformation:
- Identify the resistors in the delta configuration: 200Ω, 40Ω, and 120Ω.
- Apply the delta to wye transformation to convert the resistors into a wye configuration:
- R₁ = (Rb * Rc) / (Ra + Rb + Rc) = (40 * 120) / (200 + 40 + 120) = 16Ω
- R₂ = (Ra * Rc) / (Ra + Rb + Rc) = (200 * 120) / (200 + 40 + 120) = 96Ω
- R₃ = (Ra * Rb) / (Ra + Rb + Rc) = (200 * 40) / (200 + 40 + 120) = 32Ω
- Replace the delta configuration with the wye configuration using the calculated values: R₁ = 16Ω, R₂ = 96Ω, R₃ = 32Ω.
2. Total Resistance Calculation:
- The total resistance (RT) in the circuit is the sum of the individual resistances:
- RT = R₁ + R₂ + R₃ = 16Ω + 96Ω + 32Ω = 144Ω.
3. Total Current Calculation:
- The total current (I) can be calculated using Ohm's Law: I = V / RT, where V is the voltage across the circuit.
- Given that the voltage (V) is 100V, the total current (I) is: I = 100V / 144Ω = 0.694A.
Therefore, the total resistance in the circuit is 144Ω, and the total current is approximately 0.694A.
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A wind turbine has a total input power of 2 500 kW.
The efficiency of the wind turbine is 20%.
What is the useful output power of the turbine?
Answer:
Output power = 500 KW
Explanation:
Given the following data;
Efficiency = 20%
Input power = 2500 KW
To find the output power;
\( Efficiency = \frac {Out-put \; power}{In-put \; power} * 100 \)
Substituting into the equation, we have;
LET Output power = OP
\( 20 = \frac {OP}{2500} * 100 \)
Cross-multiplying, we have;
\( 20 * 2500 = OP * 100 \)
\( 50000 = OP * 100 \)
\( OP = \frac {50000}{100} \)
Output power = 500 KW
when electromagnetic radiation (e.g., light) is doppler-shifted by motion of the source away from the detector the
When electromagnetic radiation is Doppler-shifted by motion away from the detector, the observed wavelength increases.
What causes Doppler shift effect?When an object emitting electromagnetic radiation, such as light, is moving away from an observer (detector), the wavelengths of the observed radiation are stretched or increased.
This phenomenon is known as the Doppler shift. It occurs because the motion of the source affects the perceived frequency or wavelength of the radiation. When the source is moving away, the observed wavelength is longer compared to the emitted wavelength.
This effect can be observed in various contexts, such as the redshift observed in the light from distant galaxies, indicating their recession from us due to the expansion of the universe.
Additionally, it is relevant in understanding the behavior of stars, galaxies, and other astronomical objects. By analyzing the Doppler shift, scientists can infer important information about the motion and velocity of celestial objects.
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One important part of testing a car is seeing how fast it can brake. An 1100 kg car is traveling at 15 m/s when the brakes are suddenly applied. How far a distance will it travel if the brakes can exert a force of 6000 N?
Answer:
Explanation:
To determine how far a car will travel when the brakes are applied, we can use the equation for distance traveled, which is:
d = vt
In this equation, d is the distance traveled, v is the initial velocity, and t is the time it takes for the car to come to a stop.
Since the initial velocity of the car is 15 m/s and we want to find the time it takes for the car to come to a stop, we can rearrange the equation to solve for t:
t = d/v
To find the time it takes for the car to come to a stop, we need to know the distance it will travel. To find the distance the car will travel, we can use the equation for the force of braking, which is:
F = ma
In this equation, F is the force of braking, m is the mass of the car, and a is the acceleration. Since we know the mass of the car (1100 kg) and the force of the brakes (6000 N), we can rearrange the equation to solve for a:
a = F/m = 6000 N / 1100 kg = 5.4545 m/s^2
We can now plug this value for acceleration into the equation for distance traveled to find the distance the car will travel:
d = vt = (15 m/s)(t) = (15 m/s)(t)
Each part of (Figure 1) shows one or more point charges. The charges have equal magnitudes. For case (a), if a positive charge is moved from position i to position f, does the electric potential energy increase, decrease, or stay the same? A. Electric potential energy increases. B. Electric potential energy decreases. C. Electric potential energy stays the same. D. It's impossible to determine.
The electric potential energy increases when a positive charge is moved from position i to position f in case (a).
Electric potential energy is the energy that a charged object possesses due to its position in an electric field. In case (a), the point charges are arranged in a straight line, with two positive charges and two negative charges. If a positive charge is moved from position i to position f, it would be moving closer to the two negative charges and further away from the positive charges. This means that the potential energy of the system would increase since the positive charge would experience a greater force of attraction from the negative charges. Therefore, the correct answer is A. Electric potential energy increases.
In order to understand why the electric potential energy increases when a positive charge is moved from position i to position f in case (a), we need to consider the interactions between the charges. When a positive charge is at position i, it is closer to the two positive charges and farther away from the negative charges. This means that the electric potential energy of the system is at a certain level. When the positive charge is moved to position f, it is closer to the two negative charges and farther away from the positive charges. This means that the electric potential energy of the system increases.
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In FIGURE 2, a block of mass m=2.5 kg slides heads on into a spring of spring constant k=320 N/m. When the block stops, it has compressed the spring by 7.5 cm. The coefficient of kinetic friction between block and floor is 0.25. While the block is in contact with the spring and being brought to rest, calculatea. the work done by the spring force.b. the increase in thermal energy of the block-floor system.c. What is the block's speed just as it reaches the spring?
(a)
The work done by the spring force can be calculated with the formula below:
\(W=\frac{1}{2}kx^2\)Using k = 320 N/m and x = 0.075 m, we have:
\(\begin{gathered} W=\frac{1}{2}\cdot320\cdot0.075^2\\ \\ W=0.9\text{ J} \end{gathered}\)(b)
The increase in thermal energy is given by the work done by the friction force.
To calculate this work, first let's find the friction force:
\(\begin{gathered} F_{friction}=F_{normal}\cdot\mu\\ \\ F_{friction}=m\cdot g\cdot\mu\\ \\ F_{friction}=2.5\cdot9.8\cdot0.25\\ \\ F_{friction}=6.125\text{ N} \end{gathered}\)Now, calculating the work, we have:
\(\begin{gathered} W=F\cdot d\\ \\ W=6.125\cdot0.075\\ \\ W=0.46\text{ J} \end{gathered}\)(c)
The block speed can be found by converting the potential energy from the spring (same value of the calculated work in item a) into kinetic energy for the block:
\(\begin{gathered} PE=KE\\ \\ 0.9=\frac{mv^2}{2}\\ \\ mv^2=1.8\\ \\ 2.5v^2=1.8\\ \\ v^2=\frac{1.8}{2.5}\\ \\ v^2=0.72\\ \\ v=0.8485\text{ m/s} \end{gathered}\)What is the mechanical advantage of a pulley system that can lift a 120 N load with an input force of 20 N
The mechanical advantage of a pulley system is calculated as the ratio of output force to input force. In this case, the output force is the weight of the load being lifted, which is 120 N, and the input force is the force applied to the pulley system, which is 20 N. Therefore, the mechanical advantage of the pulley system is:
Mechanical advantage = output force / input force
Mechanical advantage = 120 N / 20 N
Mechanical advantage = 6
Therefore, the mechanical advantage of the pulley system is 6. This means that for every 1 unit of force applied to the pulley system, the load is lifted with 6 units of force.