The magnitude of the acceleration of the ball while it is on the ramp is 2.4 m/s² approximately
What is Acceleration ?Acceleration is the rate at which velocity changes. It is a vector quantity.
Given that a ball is given a brief push and then is allowed to roll up a ramp. It travels 53.1 cm up the ramp before stopping and rolling back down. It takes a total of 1.34 s to roll up and back down to its initial position.
Let us take the account of rolling down.
Distance s = 53.1 cm = 0.531 mTime t = 1.34/2 = 0.67 sinitial velocity u = 0The magnitude of the acceleration of the ball while it is on the ramp can be calculated by using the below formula
s = ut + 1/2at²
Substitute all the parameters into the formula
0.531 = 0 + 1/2 × a × 0.67²
0.531 = 0.22445a
a = 0.531/0.22445
a = 2.365 m/s²
Therefore, the magnitude of the acceleration of the ball while it is on the ramp is 2.4 m/s² approximately
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If gasoline has a density of 0.680 g/cm3, what is the volume of 4,400 g of gasoline?
The volume of gasoline with a density of 0.680 g/cm3 and a mass of 4,400 g is: 6,470.58 cm3
The density formula and the procedure we will use is:
d = m/v
Where:
v= volumed= densitym= massInformation about the problem:
d= 0.680 g/cm3m = 4,400 gv = ?Applying the density formula and clearing the volume we get:
d = m/v
v = m/ d
v = 4,400 g/0.680 g/cm3
v = 6,470.58 cm3
What is density?It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.
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Convert Kg to g
i. 6.57 Kg
Answer:
Kg to g we multiply by 1000
Explanation:
6.57×1000=6570g
What is the average amount of teens with cell for the age groups 14, 15, and 16?
The average amount of small-town teens with cell phones for the age groups 14, 15, and 16 would be 348 as the average is given by the total sum divided by the number of items.
What is multiplication?Finding the product of two or more numbers in mathematics is done by multiplying the numbers.
As given in the problem we have to find out the average amount of teens with cells for the age groups 14, 15, and 16,
The average number of teens with cells = (273 + 341 + 430) / 3
The average number of teens with cells = 1044/ 3
=348
Thus, the average number of teens with cell phones for the age groups 14, 15, and 16 would be 348.
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Which process requires more energy: completelyvaporizing 1 kg of saturated liquid water at 1 atm pressure orcompletely vaporizing 1 kg of saturated liquid water at 8 atmpressure?
The correct answer would be the first option. That means completely vaporizing 1 kg of saturated liquid water at 1 atm pressure would require more energy.
Enthalpy of VaporizationThe enthalpy of vaporization, also known as the heat of vaporization or heat of evaporation, is the quantity of energy that must be added to a liquid substance in order to transform a quantity of that substance into a gas.
The enthalpy of vaporization decreases as the pressure increases, so it takes more energy to completely vaporize 1 kg of saturated liquid water at 1 atm than at 8 atm.
What is the enthalpy of the vaporization of water?The enthalpy of vaporization depends on the pressure at which that transformation occurs.
40.65 kJ/mol
The heat of vaporization value for water is 40.65 kJ/mol.
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A tennis ball is dropped from 1.58 m above the
ground. It rebounds to a height of 0.979 m.
With what velocity does it hit the ground?
The acceleration of gravity is 9.8 m/s-
Answer in units of m/s.
The calculated final velocity is Vf = 4.77 m/s
When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector number that gauges a moving body's speed and direction after it has reached its maximum acceleration. By applying the third equation of motion during the downward motion, we can quickly determine the final velocity or the velocity at which the ball reaches the ground. Following is the third equation of motion:
Where g = the acceleration of gravity = 9.8 m/s², h = the height = 1.16 m, and Vf = the final velocity of the ball =?
Vi = Ball's Initial Velocity = 0 m/s (Since the ball was at rest initially)
As a result, when we use these values in the equation, we obtain:
(2) Vf2 = (9.8 m/s²) (1.16 m) - (0 m/s)
Vf = 4.77 m/s
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2. Solve graphically, using the
head-to-tail method.
What is the resultant of
these vectors?
12 units S, 6.0 units E,
3.0 units N
The result of two or more vectors is the outcome. it's the outcome of multiplying two or more vectors. The resultant result of adding the displacement vectors A, B, and C are vector R. An appropriately drawn, scaled, vector addition diagram is often used to compute vector R, as illustrated within the diagram.
What do three resultant vectors add up to?
Afbeeldingsresultat for these vectors' offspring
The outcome of multiplying vectors A + B + C is the same as that of multiplying vectors B + A + C or even C + B + A. The resultant result will be the same as long as all three vectors are present with the appropriate magnitude and direction. The resultant of two or more vectors is the outcome.
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What is Einstein’s equation ?
He has derived a lot of equations but the most common one is E=mc^2
(Energy=Mass×Speed of light squared)
I don't know how to work this, I'm very confused
How do I find the distance and displacement? (for both problems)
Answer:Доброе утро, отв
Explanation:
Доброе утро, отвДоброе утро, ответт
The discharge of water through an open channel is10.0 m3/s. what is the discharge in liters/min, gal-lons/min?
By unit conversion, the flow rate is 600,000 liters/min or 158503.23 gallons/min.
We need to know about unit conversion to solve this problem. The unit conversion can be used to convert a unit to another unit. It can be defined as
a = xb
where a is unit a, b is unit b and x is the constant of conversion.
From the question above, we know that
Q = 10 m³/s
Convert to liters / min
Q = 10 m³/s
Q = 10 x1000 liters/(1/60 min)
Q = 600,000 liters/min
Convert to US gallons/min
Q = 600,000 liters/min
Q = 600,000 x 0.264 gallons/min
Q = 158503.23 gallons/min
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Find the length of the shortest curve between (1, 0, 0) and (1, 1, 1) on the surface x 2 y 2 = z 2 1. be sure to explain why your answer is correct.
The length of the shortest curve would be √2.
CalculationThe paraboloid x2 + y2 = z2 + 1 is a doubly ruled surface, which means, it can be swept out by a moving the line in space in two different ways.
So, then we have to verify the fact that the line defined by the two given points lies entirely on the surface of the paraboloid.
The vector valued function that describes the straight line connecting the points (1, 0, 0) and (1, 1, 1) is
r (t) = < 1, t, t >, t ∈ R
and it can be stated by inspection that this satisfies the equation of the paraboloid.
Thus, it is found that the length of the line segment connecting the points is √2
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The weight of cans of fruit is normally distributed with a mean of 1,000 grams and a standard deviation of 50 grams. what percent of the cans weigh 860 grams or less?
The desired outcomes for standard variation are;
a. [tex]P(X < 860) = P(z < -2.80) = 0.0026 = 0.26%[/tex]
b.[tex]P(1055x1100) = P(z2.00-z1.10) = 0.9772-0.8643 = 0.1129 = 11.29%[/tex]
c.[tex]86.17%[/tex]% if [tex]P(860 X 1055) = P(z 1.10) - P(z -2.80) = 0.8643 - 0.0026[/tex]
You will need the probabilities P(X 860), P(X 1055) and P(X 1100) from the cumulative normal probability distribution for the variable X in order to calculate these values (the weight of a can of pears, in this case).
The straightforward approach is to use the connection to reduce the required values of X to the reduced parameter z instead of laboriously deriving this information from the equation for this distribution and the given values for its mean and standard deviation.
z = (X - μ)/σ
which results in X = 860 z = -2.80, X = 1055 z = +1.10, and X = 1100 z = +2.00 in this instance.
You then check a public table for the cumulative standard normal distribution for the fractional probability for the necessary z values.
- To the tabular value P, add 0.5 for positive z. (z)
- To account for negative z, deduct from 0.5 the P(z) value that corresponds to positive z.
[tex]P(z) = 0.4974 for z = 2.80,[/tex] which means that,[tex]P(z -2.80) = 0.5 - 0.4974 = 0.0026.[/tex]
[tex]P(z) = 0.3643[/tex] and [tex]P(z 1.10) = 0.3643 + 0.5 = 0.8643[/tex] for [tex]z = 1.10[/tex] respectively
[tex]P(z) = 0.4772[/tex] and [tex]P(z 2.00) = 0.4772 + 0.5 = 0.9772[/tex] for [tex]z = 2.00.[/tex]
Finally, we can get the desired outcomes.
a. [tex]P(X < 860) = P(z < -2.80) = 0.0026 = 0.26%[/tex]
b.[tex]P(1055x1100) = P(z2.00-z1.10) = 0.9772-0.8643 = 0.1129 = 11.29%[/tex]
c.[tex]86.17%[/tex]% if [tex]P(860 X 1055) = P(z 1.10) - P(z -2.80) = 0.8643 - 0.0026[/tex]
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If we have 50 reported cases of angina and we want to select 5 for further review, then how many ways can we select these cases if order of selection matters?
We can select the cases in the order of selection matters 254,251,200
Permutation is the act of putting all the members of a set into a sequence or order in mathematics. In other words, if the set is already sorted, the act of reordering its pieces is known as permuting. Permutations may be found in practically every branch of mathematics, at varying degrees of prominence. They frequently appear when alternative orderings on finite sets are examined. The permutation formula is as follows.
nPr = ((n!) )/((n-r)!)
nPr = ((50!) )/((50-5)!)
nPr = ((50!) )/((45)!)
nPr = ((50*49*48*47*46*45)!)/((45)!)
nPr = 11441304000/45
nPr = 254,251,200
Therefore, there are 254,251,200 ways to select these cases if order of selection matters.
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The work done to compress a gas is 74 j. as a result, 26 j of heat is given off to the surroundings. calculate the change in internal energy of the gas.
The change in internal energy is -48 joule.
We need to know about internal energy to solve this problem. For a closed system, with matter transfer excluded, the changes in internal energy are due to heat transfer and due to thermodynamic work done by the system on its surroundings. It can be determined as
ΔU = Q - W
where ΔU is the change in internal energy, Q is heat and W is work done.
From the question above, we know that
W = 74 joule
Q = 26 joule
By substituting the given parameter, we can calculate the change in internal energy
ΔU = Q - W
ΔU = 26 - 74
ΔU = -48 joule
The internal energy change is negative because the work done on the system is greater than the heat released.
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Calculate the amount of extension of a spring with a spring constant of 1 kn/m, if the amount of work done in extending it is 50 j. give your answer in m
Answer:
W = 1/2 k x^2 work done in extending a distance x
x = (2 W / k)^1/2 = (2 * 50 N / 50 kn / m)^1/2
x = (.1 kn / 50 kn/m)^1/2 = .045 m
For a parallel-plate capacitor the energy density is uniform in the region between the plates, except near the edges of the plates. Is this also true for a spherical capacitor?.
No. this is not true for a spherical capacitor.
A spherical capacitor can be thought of as what is shown in the attached figure.That phenomenon for the parallel plate capacitor occurs because of the sudden change in the electric field intensity. Between the plates, the electric field intensity is constant and uniform and that uniformity changes at the edges.Such a uniform field intensity is not found in a spherical capacitor.The field at a given distance from the sphere is a function of that distance so it changes from place to place.So the energy density is not uniform in a region between 2 spherical surfaces.Therefore, what is true for spherical capacitors is that the energy density is like that at the edges of a parallel plate capacitor.#SPJ4
The kinetic and potential energy of a harmonic oscillator in motion:_________
a. are time-independent
b. are perfectly correlated
c. are independent
d. are perfectly anticorrelated
The kinetic and potential energy of a harmonic oscillator in motion
d) are perfectly anti-correlated.
Explanation:
A restoring force in a harmonic oscillator works in the direction of an equilibrium point.
Simple harmonic motion, which we refer to as repetitive motion, is produced by the force.
The system's mechanical energy, which includes both potential and kinetic energy, is ideally constant.
In actuality, the energy is preserved by allowing one quantity to grow as the other shrinks, and vice versa.
An anti-correlation is a term that describes a negative correlation.
Kinetic energy and potential energy are two types of energy that are frequently found in mechanical systems and are referred to as mechanical energy in physics.
The idea of mechanical energy conservation is based on an even more general principle known as the law of conservation of energy; the only distinction is that in mechanical energy conservation, all of the system's energy is either in the form of kinetic energy, potential energy, or both.
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Please can someone really smart answer my quetion about physical change??
The properties of physical changes of matter include the following:
no new substances are formedno large heat changes are involved except in processes of change of statethe changes are easily reversibleWhat is physical change?Physical change is a form of change that occurs in matter in which no new substances are formed.
Matter undergoes two types of changes:
physical change, andchemical changePhysical change is a change that affects or changes only the physical properties of a substance.
The physical properties of matter include the following:
densitycolorphysical statevolumeshape, etc.During physical changes of matter, the following are observed:
no new substances are formedno large heat changes are involved except in processes of change of statethe changes are easily reversibleExamples of physical changes include:
evaporation of watermelting of icemelting of candle waxdissolution of sugar in waterdissolution of salt in waterIn conclusion, physical changes are changes which affect only the physical properties of a substance and in which no new substance is formed.
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Can one individual represent an entire population? Why or why not
Answer: No, they cannot
Explanation:
Because every individual has different emotions, different beliefs.
To launch a 100 kg human so that he leaves a cannon moving at a speed of 4 m/s, you need a spring with an appropriate spring constant. This spring will be compressed 2. 0 m from its natural length to launch the person. Which spring constant do you need?.
To launch a 100 kg human at the given speed, the spring constant needed is 400 N/m.
What is spring constant?This is the ratio of applied force on a spring to the extension produced by the spring.
The spring constant of the spring is calculated by applying the principle of conservation of energy.
The elastic potential energy of the spring will be converted into kinetic energy of the human so that the human will be launched at the desired speed.
U = K.E
¹/₂kx² = ¹/₂mv²
k = mv²/x²
where;
m is mass of the humanv is the speed of the cannonx is the extension of the springk is the spring constantSubstitute the given parameters and solve for the spring constant.
k = (100x 4²) / (2²)
k = 400 N/m
Thus, a spring constant of 400 N/m is need to maintain the law of conservation of energy, from elastic potential energy of the spring to kinetic energy of the human,
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Predict the effects of a drug that blocks the sympathetic nervous system on blood pressure and heart rate. how would this drug affect the three factors that determine blood pressure?
It would decrease cardiac output, peripheral resistance, and blood volume.
Cardiac output (CO), the volume of blood the heart pumps each minute, is the mechanism through which blood circulates throughout the body, particularly supplying the brain and other crucial organs with blood flow. When exercising, for example, the body's need for oxygen fluctuates, and changing both heart rate (HR) and stroke volume affects cardiac output (SV).
As a result, a complicated mechanism combining the autonomic nervous system, endocrine, and paracrine signaling pathways is responsible for controlling cardiac output. Every tissue in the body depends on the heart to pump blood to it in order to survive, hence any cardiovascular failure could have a large negative impact on morbidity and mortality.
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______ resources include biodiversity, energy, land and
soil, and water resources.
Answer : Natural
Explanation : Natural resources are the resources that are found in the environment and are developed without the intervention of humans
A swimmer can swim at a speed of 0.7 m/s with respect to the water. She wants to cross a river which is 50m North and has a current of 0.5 m/s East. (a) If she wishes to land on the other bank directly at a point directly across from her starting point, in what direction must she swim? How long will it take? (b) 1,5g instead decides to cross in the shortest possible time, in what direction must she swim? How far down stream will she be?
(a) If she wishes to land on the other bank directly at a point directly across from her starting point, the direction she must swim is 50.3⁰ north east.
(a. ii) The time of her motion is 111.8 seconds.
(b) If she wishes to cross the shortest possible time, then she must swim the shortest possible distance. Her direction must be 90 degrees and she will swim 50 m north.
Time of motion of the swimmer
The time taken for the swimmer to land on the other bank directly at a point directly across from her starting point is calculated as;
(V₁t)² = (d²) + (V₂t)²
where;
V₁ is the speed of the swimmerd is the vertical distance between the swimmer and the river bankV₂ is the speed of the rivert is time of motion of the river0.7t² = 50² + 0.5t²
0.7t² - 0.5t² = 50²
0.2t² = 2500
t² = 2500/0.2
t² = 12,500
t = √12,500
t = 111.8 seconds
Resultant displacement = V₁t = 0.7 m/s x 111.8 s = 78.26 m
Direction of the swimmercos θ = adjacent side / hypotenuse side
cos θ = 50 m / 78.26 m
cos θ = 0.6389
θ = arc cos(0.6389)
θ = 50.3⁰
Thus, if she wishes to land on the other bank directly at a point directly across from her starting point, the direction she must swim is 50.3⁰.
If she wishes to cross the shortest possible time, then she must swim the shortest possible distance. Her direction must be 90 degrees and she will swim 50 m north.
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A car travels straight down a highway with cruise control set to 100 km/h. how far does it travel during 14.2 minutes?
230km far does it travel during 14.2 minutes.
A car travels straight down a highway with cruise control set to = 100 km/h
how far does it travel during 14.2 minutes
so, now we use
Distance = velocity [tex]\times[/tex] time
1 min = 1/60 hour
14.2 min = 14.2 / 60 hour
= 0.23 hour
now,
Distance = 1000[tex]\times[/tex]0.23 km
= 230km
so. 230km it travel in 14.2 minutes
Distance is the length of the path between two points. and it's standard unit is meter while displacement is shortest distance between final position and initial position and it also has meter as a standard unit.
written as m.
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A stone dropped from a cliff hits the ground 3.00 s later. Find (a) the speed with which the stone hits the ground, and (b) the distance it fell.
(a) The speed as the stone hits the ground is 29.4 m/s (b) The distance at which the stone fell is 44.1 m.
What is speed?Speed can be defined as the ratio of distance to time.
(a) To calculate the speed at which the stone hit the ground, we use the formula below.
Formula:
v = u+gt............ Equation 1Where:
v = Final speed of the stoneu = Initial speed of the stone = 0 m/st = time = 3 secondsg = acceleration due to gravity = 9.8 m/s²Substitute the values above into equation 1
v = 0+3×9.8v = 29.4 m/s(b) To calculate the distance the stone fell, we use the formula below.
S = ut+gt²/2........... Equation 2Where:
S = DistanceSolving for S by substituting into equation 2
S = (0×3)+(9.8×3²)/2S = 44.1 mHence, (a) The speed as the stone hits the ground is 29.4 m/s (b) The distance at which the stone fell is 44.1 m.
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Find the work done on a 50 Kg student by the elevator in 2 seconds, if the elevator is :
1) Accelerating upwards from rest at a rate of 2 ms-2
2) Accelerating downwards from rest at a rate of 2 ms-2
3) Decelerating upwards from an initial speed of 4 ms-1 at a rate of 2 ms-2
4) Decelerating downwards from an initial speed of 4 ms-1 at a rate of 2 ms-2
5) Moving upwards at a speed of 2 ms-1
6) Moving downwards at a speed of 2 ms-1
( Let g = 10 ms )
The work done on a 50 Kg student by the elevator in 2 seconds if the elevator is accelerating upwards from rest at a rate of 2 ms⁻² would be
What is work done?The total amount of energy transferred when a force is applied to move an object through some distance.
The work done is the multiplication of applied force with displacement.
Work Done = Force × Displacement
As given in the problem we have to find the work done on a 50 Kg student by the elevator in 2 seconds if the elevator is accelerating upwards from rest at a rate of 2 ms⁻²,
Lets us first calculate the displacement of the elevator in 2 seconds if it is accelerating upwards from rest at a rate of 2 ms⁻².
s = ut + 0.5at²
= 0 + 0.5×2×2²
= 4 meters
The work done on the elevator = mgh
=50×9.81×4
=1962 joules
Thus, the work done on the elevator would be 1962 joules.
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Which of the five zones shown on the map has the greatest amount of land area suitable for people to live?
I have to get it done right now... I'm not playing no games.. I need help with this ASAP
The zone in the map that has the greatest amount of land area suitable for people to live is zone B.
What is equator?The equator is the imaginary line that divides the earth horizontally into two equal halves of North and South zones.
The countries that are located close to the equator include the following:
Ecuador, Colombia,
Brazil, Sao Tome & Principe, Gabon, Republic of the Congo, Democratic Republic of the Congo,Uganda, Kenya, Somalia, Maldives, Indonesia and Kiribati.From the map, the zone with the greatest amount of land area suitable for people to live is the zone closest to the equator which is zone B.
The temperature of these areas are close to moderate through out the year.
The zone B also contains land mass that is part of the largest continent which is Asia.
Therefore, the zone in the map that has the greatest amount of land area suitable for people to live is zone B.
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You are preparing to attach wires in a 110 block. You want to connect the wires and trim off the excess at the same time
To connect the wires in a 110 block and trim off the excess at the same time, use a punch down tool with a notched blade and point the cut side of the tool towards the wire end.
A 110 block is used to terminate wiring in a cabling system. It is a type of punch down block. This block has a plastic base and have 50 slots for individual wires, meaning it can terminate 25 pairs.
A punch down tool is used insert wire into insulation displacement connectors present in punch down blocks such as 110 block and also in other electrical panels and modules.
Therefore, to connect the wires in a 110 block and trim off the excess at the same time, use a punch down tool with a notched blade and point the cut side of the tool towards the wire end.
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A local store charges 1.5 each month on the unpaid balance for its credit account. what nominal interst rate is being charged?
The nominal interest rate is being charged is 19.56 %
Nominal and Effective Interest Rate:Interest bearing financial instruments state the rate of interest they pay. this is often the nominal interest rate. The effective rate of interest , on the opposite hand, accounts for the rate of interest compounding effect, thus, it's the actual interest rate an instrument pays during a given period (often a year).
Evaluating :18% is the nominal annual interest rate.
The monthly interest rate is 1.5%. Hence, the nominal interest rate in a year (12 months) is 18% = 12 x 1.5%.
19.56% is the (annual) effective interest rate (EIR).
EIR = ( 1+( r / n))ⁿ − 1, such as r is the annual interest rate and n is the number of periods.
Here, n = 12 and ( r/ n ) = .015 or 1.5%. Therefore,
EIR =( 1 + .015 ) 12 − 1 = .1956 or 19.56%.
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Determine the magnitude of the resultant force fr=f1 f2 and its direction measured clockwise
The value of the resultant force and its direction is Fr = 8.03 kN; Ф = 1.22°
What are forces?
Forces are the definition of Newton's second law, which is stated under the relation:
∑ Force = mass × acceleration.
In other words, force is the origin of motion since it generates acceleration in a system.
We will use the parallelogram method to determine the magnitude of the resultant force, as follows:
Fr = √F2² + F1² - 2(F2×F1)Cos105°
Fr = √6² + 4² - 2(6×4)Cos105°
Fr = 8.03 kN
We apply the law of sines
Sen∅/6 = Sen105°/8.026
∅ = 46.22°
The Ф direction of Fr measured clockwise from the positive u-axis is
Ф = 46.22° - 45°
Ф = 1.22°
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How would you wire together individual solar cells to produce enough voltage to run a small 3.5-v motor? if one solar panel produces 0.5 v?
It is needed to connect seven solar panels in series to get 3.5 volts.
We need to know about the power supply circuit to solve this problem. When the power supply are connected in series, the total voltage is added up. It can be written as
V = V1 + V2 + .... + Vn
From the question above, we know that
V = 3.5 volt
Veach = 0.5 volt
Hence, we can calculate how many solar cells connected in series
V = V1 + V2 + .... + Vn
3.5 = 0.5(n)
n = 3.5 / 0.5
n = 7
Thus, we need to connect seven solar panels in series to get 3.5 volt.
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