The y-component of the vector is 4.97 m.
What is a vector?A vector is a quantity that has both magnitude and direction.
To calculate the y-component of the vector in the diagram above, we use the formula below.
Formula:
Y = Hcos∅.......... Equation 1From the question,
Given:
H = 22.3 m∅ = 77.1°Substitute these values into equation 1
Y = 22.3(cos77.1)Y = 22.3×0.223Y = 4.97 m.Hence, the y-component of the vector is 4.97 m.
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What depth of oil, specific gravity of 0.750, will produce a pressure of 46 psig?
The depth of oil is 43 m
We know that
P = ρ g h
where,
P = Pressure of fluid
ρ = Density of fluid
g = Acceleration due to gravity
h = Depth of fluid
Given that,
P = 46 psig = 3.2 * [tex]10^{5}[/tex] N / [tex]m^{2}[/tex]
s = 0.75
ρ = 0.75 * 1000 = 750 kg / [tex]m^{3}[/tex]
g = 9.81 m / [tex]s^{2}[/tex]
Here we round the value of g = 10 m / [tex]s^{2}[/tex]
h = P / ρ g
h = ( 3.2 * [tex]10^{5}[/tex] ) / ( 750 * 10 ) = 42.67 m
h = 43 m
Fluid pressure is the measurement of force per unit area that acts on an object in the fluid.
Therefore, the depth of oil is 43 m
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positivephysics
A bicyclist, initially at rest, begins pedaling and gaining speed steadily for 7.50s during
which she covers 46.0m.
PREMIUM
What was her final speed?
The final speed of cyclist is 12.27m/s
The following question can be solved using formulas of Motion on one dimension as the motion is in one dimension
We will use the formula
[tex]v^2-u^2=2aS[/tex]
where v is the final velocity
u is the initial velocity
a is the acceleration of the boat
s is the distance in meters
v^2 = 2 x a x S
= 2 x 46 x a
v^2=92a
v=[tex]\sqrt{92a}[/tex]
where a is the acceleration
Now using the formula v= u+ at
and putting value of v in the equation
[tex]\sqrt{92a}[/tex]=a x7.5
squaring both sides,
92a=56.25a^2
a=92/56.25=1.64 m/s^2
Now we know that v= 7.5 a=7..5 x 1.64 =12.27m/s
Hence her final speed is 12.27m/s
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Recessed incandescent luminaires not marked type ic and those marked for installing directly in ___________ must not have insulation over the top of the luminaire.
Answer:
Recessed incandescent luminaires not marked type ic and those marked for installing directly in insulated ceilings must not have insulation over the top of the luminaire.
Explanation:
Depending on how they interact with insulation, lighting fixtures are rated at various levels. Non-IC rated lighting fixtures can accommodate higher wattage bulbs, but they also pose the greatest fire risk when used with the incorrect insulation.
In locations with insulation, light fixtures that are not IC rated may be installed. But there is a condition. The distance between the fixture and any insulation should be 3 inches. But the 3 inch gap in the insulation would negate the goal of insulation by producing a lot of uninsulated space, so this defies logic. Building a box-style cover to cover the fixture on the attic side is one option to fix this. Drywall or foil-faced foam insulation can be used to create this box. After the cover is put in place, insulation can be added for maximum effectiveness.
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7. 122 10 292 252 Fig. 6.31 a The effective resistance of the circuit shown in the figure above is ? NE
R1+R2+R3 =1+1+1=3 is used to represent the circuit's overall resistance.
The 3 resistors on the upper side of the circuit are linked in series in this instance, and the total resistance R1 is expressed as 1+1+1=3.
The combined resistance R2 is expressed as 2+2+2=6 due to the series connection of the three 2-ohm resistors on the lower part of the circuit. The intermediate resistances R1, R2, and 2 are linked in parallel. This parallel connection's total resistance, R3, is therefore represented as 2/1+ 2/1+ 6/1 = 1/1=1 ohm.
In other words, the closed loop's resistance is decreased to 1 ohm.
Now, R1+R2+R3 =1+1+1=3 is used to represent the circuit's overall resistance (R).
As a result, the resistance in the circuit from point A to point B is 3.
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Find an equation of the normal line to the curve y = x that is parallel to the line 2x y = 1.
The equation of the normal line is y = - 2x + 3
We know that,
The equation of normal line given of the curve is given by
( y - [tex]y_{1}[/tex] ) = m ( x - [tex]x_{1}[/tex] )
Given that,
Equation of curve is y = [tex]\sqrt{x}[/tex]
Equation of the line parallel to the normal line of curve is 2x + y = 1
The slope of normal is same as that of the line parallel to it. So,
2x + y = 1
y = - 2x + 1
On differentiating both sides by x,
dy / dx = - 2
which is the slope of normal line
To find slope of the curve,
y = [tex]\sqrt{x}[/tex]
y = [tex]x^{1/2}[/tex]
dy / dx = 1/2 x
which is the slope of the curve.
Since the curve and its normal line is perpendicular,
[tex]m_{1} m_{2}[/tex] = -1
-2 * 1/2 x = -1
x = 1
At x = 1,
y = [tex]\sqrt{1}[/tex] = 1
The point is ( 1 , 1 )
The equation of normal line given of the curve is
( y - [tex]y_{1}[/tex] ) = m ( x - [tex]x_{1}[/tex] )
y - 1 = - 2 ( x - 1 )
y = - 2x + 3
Therefore, The equation of the normal line is y = - 2x + 3
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5) In the picture to the right, a wave source is
moving to the right. Measure the wavelengths
recorded by observer A, on the left, and
observer B, on the right.
Do this by measuring 5 wavelengths and
dividing by 5 to get a precise average.
Answer: most likely its going to be 5
Explanation:
because you have to keep it the same
What fraction of the mass of the milky way galaxy is in a form that astronomers have been able to see?
The astronomers have been able to see a 10% of the milky way galaxy's mass
The Milky Way is a large spiral galaxy where the solar system and the Earth are located. It takes its name for the irregular luminous band of stars and gas clouds that stretches across the sky as seen from Earth. According to astronomers, it has a mass of 10¹² solar masses and, by its shape, it is a barred spiral galaxy.
What is the galaxy?It is a large area of gas, dust and billions of stars and their solar systems all held together by gravity that makes up a universe.
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Write down the names of three mar-made devices in everyday use that depend,
for their action, upon the moments of forces.
Answer:
Scissors
Tap
Spanner
Explanation:
What information about an atom can be determined from its parts?
Chemicals cannot be used to divide atoms. Even though they are made up of protons, neutrons, and electrons, an atom is the fundamental chemical unit of matter. Atoms can disintegrate as a result of nuclear processes like a fission and radioactive decay.
A negative electrical charge accompanies every electron. There is a positive electrical charge on each proton. A proton's charge and an electron's charge have the same magnitude but different signs. Protons and electrons are drawn to one another by electrical forces. Protons and protons, as well as electrons and electrons, repel one another.
Electrical neutrality applies to each neutron. In other words, neutrons don't have a charge and aren't drawn to protons or electrons electrically.
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An urn contains 17 red marbles, 20 blue marbles, and 41 yellow marbles. one marble is to be chosen from the urn without looking. what is the probability of choosing a red marble?
The probability of choosing a red marble is 0.2179 or 21.79%.
We need to know about probability to solve this problem. The probability can be described as how possible an event will happen. It can be determined by
P = a / n
where P is the probability, a is the number of events and n is the total events.
From the question above, we know that:
red marbles = 17
blue marbles = 20
yellow marbles = 41
Hence, the total marble is
n = red + blue + yellow
n = 17 + 20 + 41
n = 78
The probability of choosing red marble is
P = a / n
P = 17 / 78
P = 0.2179
Convert to percent
P = 0.2179 x 100%
P = 21.79%
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Explain What is economics?
Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x2, y = 4x; about the y-axis v = incorrect: your answer is incorrect.
The correct answer for the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x2, y = 4x is 128/3 * π.
Volume of Solid of Revolution by Shell method is given by
V = 2π * integrate x(height) dx Here, height = 4x-x2
(1)& x-varies from x = 0 to x = 4 then from eqn(1) V = 2π * integrate x(4x - x ^ 2) dx from x = 0 to 4 = 2π * integrate (4x ^ 2 - x ^ 3) dx from x = 0 to 4
Basic Rule(1) ∫ x^n dx =x^ n+1/ n+1
V=2 π [4((x ^ 3)/3) - (x ^ 4)/4] 0 ^ 4 =2 π[ 4/3 x^ 3 - x^ 4/4 ] 0 ^ 4
V = 2π [4/3 * 4 ^ 3 - (4 ^ 4)/4} - 0]
V = 128/3 * π.
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By locating the north celestial pole (ncp) in the sky, how can you determine your latitude?
By locating the north celestial pole (ncp) in the sky, we can determine the latitude as the altitude of the NCP is the same as your latitude.
What is a latitude?A point on the surface of the Earth or another celestial body is given a latitude coordinate, which indicates its north-south location. Latitude is measured as an angle, with 0° at the Equator, and values ranging from -90° at the south pole to 90° at the north pole. A circle that runs parallel to the equator in both directions are lines of constant latitude, or parallels. An Earth surface location can be identified by its latitude and longitude when used as a pair of coordinates.
Typically, the word "latitude" used by itself refers to the geodetic latitude as described below. The angle created between the vector perpendicular (or normal) to the ellipsoidal surface from the point and the geodetic latitude of a point is, in a nutshell, what we refer to as latitude.
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What happens to most of the neutrinos produced by the nuclear reactions in the core of the sun? group of answer choices
The neutrinos produced by the nuclear reactions in the core of the sun escape from the sun into space.
The neutrinos produced by the nuclear reactions in the core of the sun is called solar neutrinos. These solar neutrinos are the decay product of nuclear fusion reaction in the sun.
These neutrinos then gets released into space which also reaches earth as light and heat.
Therefore, the neutrinos produced by the nuclear reactions in the core of the sun escape from the sun into space.
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