A processor with a clock period of 0.637 ns will have a clock rate of 1.569 Ghz as per the conversion and the calculation made that can be seen below.
What is the pace of a clock?The frequency at which a CPU operates is known as the clock rate. It is the clock's frequency or rate expressed in cycles per second (measured in hertz) in any synchronous circuit.
Most people assume that a quicker processor equals one with a greater clock speed, but there are other considerations.
CalculationThe clock rate can also be defined as the frequency.
So here we can apply the formula
f = 1/T
where f = frequency or Clock rate in Ghz
and T = clock period in ns
Thus, putting the values, we have
f = 1/0.637
⇒ f = 1.569 Ghz
Thus, the clock rate can be calculated as 1.569 Ghz
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PLEASE HELP
Obtain expressions in component form for the position vectors having the following polar coordinates.
After conversion into cartesian coordinates, we can write the position vectors as -
a) → r = 12.4 m , θ = 170° ↔ - 12.21 i + 2.15 j
b) → r = 4 cm , θ = 50° ↔ 2.57 i + 3.06 j
c) → r = 20 inches , θ = 210° ↔ - 17.32 i - 10 j
What are cartesian coordinates?Cartesian coordinates are two-dimensional coordinates which are used to represent a point in X-Y plane. They are, in general, written in the form (x, y), such that x is the horizontal distance of point from origin and y is the vertical distance of point from origin.
Given are the position vectors in polar coordinates of three points in X-Y coordinate system.
It is important to remember the following relations, in order to transform from polar coordinates (r, θ) into cartesian coordinates (x, y) -
x = r cosθ
y = r sinθ
a) → r = 12.4 m , θ = 170°
x = 12.4 x cos (170°) = 12.4 x -0.98480775301 = -12 .21
y = 12.4 x sin (170°) = 12.4 x 0.17364817766 = 2.15
In cartesian form → ( -12.21 i + 2.15 j )
b) → r = 4 cm , θ = 50°
x = 4 x cos (50°) = 4 x 0.64278760968 = 2.57
y = 4 x sin (170°) = 4 x 0.76604444311 = 3.06
In cartesian form → ( 2.57 i + 3.06 j )
c) → r = 20 inches , θ = 210°
x = 20 x cos (210°) = 20 x -0.86602540378 = -17.32
y = 20 x sin (210°) = 20 x -0.5= -10
In cartesian form → ( -17.32 i - 10 j )
Therefore, in two - Dimensional cartesian system, we can write the position vectors as -
a) → r = 12.4 m , θ = 170° ↔ - 12.21 i + 2.15 j
b) → r = 4 cm , θ = 50° ↔ 2.57 i + 3.06 j
c) → r = 20 inches , θ = 210° ↔ - 17.32 i - 10 j
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Help me please for Number 1
The mass of the object is obtained as 130 g.
What is the tripe beam balance?The triple beam balance is the kind of balance that could be used to measure the mass of a substance. There are so many kinds of balance that could be used in science and these include;
1) beam balance
2) Spring balance
3) unequal arm balance
We read the mass of the object by looking at all the points that we have set on the triple beam balance to achieve the balance point. In the case of the substances that we have seen in the image of the question, the mass of the object is obtained as 130 g.
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By deflecting cathode rays with a magnetic field thomson was able to measure what property of electrons?.
The negatively charged electric plate is avoided in favor of the positively charged electric plate by the cathode ray. Thomson was able to estimate the mass-to-charge ratio of the particles by measuring the degree to which the ray was refracted by a magnetic field.
What property of the electron did Thomson measure?
J.J. Thomson measured the electron's mass in terms of its physical characteristics.Similar experiments were conducted with cathode rays and magnets by William Crookes, who came to the conclusion that cathode rays were made up of negatively charged molecules based on his observations of the rays' deflection by magnetic fields.J.J. Thomson used a Crookes, or cathode ray, tube to conduct experiments that discovered the electron in 1897. He provided evidence that cathode rays have a negative charge.The negatively charged electric plate is avoided in favor of the positively charged electric plate by the cathode ray. Thomson was able to estimate the mass-to-charge ratio of the particles by measuring the degree to which the ray was refracted by a magnetic field.
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Two vectors have length v1 = 3. 5 km and v2 = 4. 0 km. What are the maximum and minimum magnitudes of their vector sum? discuss how you decided on those magnitudes
Answer:
77ruririfusjd u 6r7r u y9r8
Question 1 (4 points)
A ball was kicked 50 m/s and is rolling to a stop. It is slowing
down at a rate of -3 m/s². How long was the ball in motion?
(YOU MUST FILL IN ALL THE BLANKS)
Givens:
Initial velocity=
Final Velocity=
Acceleration=
m/s
m
m/s²
Answer: (Use one decimal place) Time=
S
The ball was in motion for 16.7 seconds before coming to rest.
Let us assume that the ball was in motion for a time equal to 't' seconds before coming to rest.
Given in the question
Initial velocity = u = 50 m/s
Final Velocity = v = 0 m/s ( As the ball stops moving after some time, its final velocity hence becomes zero. )
Acceleration = a = -3 m/s²
To find
Time = t seconds
Using the first equation of motion,
v = u + at
Put in the value in the equation, we get
0 = 50 + (-3)(t)
3t = 50
t = 50/3
t = 16.66 seconds
t = 16.7 seconds ( rounding off to one decimal place )
Therefore, the ball was in motion for 16.7 seconds before coming to rest.
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a 1.0m1.0m by 2.0m2.0m by 3.0m3.0m rectangular block has a uniform density of 600kg/m3600kg/m3and is completely submerged and held stationary in a deep pool of water. the water exerts an upward buoyant force on the block of 6×104n6×104n . the block is released and, after rising a short distance toward the surface, experiences a drag force of 2×104n2×104n. the magnitude of the acceleration of the block at this instant is most nearly
The magnitude of the acceleration of the block at this instant is 1.11m/s².
Given here the dimension of the block 1×2×3m, so the volume = l×b×h =6m3 and density = 600kg/m³
Mass of the block can be calculated as, m= volume × density = 600×6=3600kg.
Now, we calculate magnitude of force which is given by,
∑Force = F buoyant – ∑F drag- ∑F gravity
Force = 6×104 -2×104 – 3600× 9.8 =3600 ×a
On calculating this, we get
a= 1.11m/s².
Thus, the magnitude of acceleration is found to be 1.11m/s².
Buoyant force, is an upward force applied by a fluid against the weight of an object that is partially or completely submerged. The weight of the fluid on top causes pressure in a fluid column to rise with depth. If the buoyant force acting on an object is greater than the gravitational force then object will float, if gravitational force is greater than buoyant force then object will sink or drown.
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James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough because he should specify that
(b) the set of points is in a plane
A circle has points in a plane, a center, a radius, and a diameter. Depending on the situation, at least one of the following words must be included in the definition of a circle:
Points in a planeRadiusCenterDiameterBased on James' definition of a circle, he needed to specify that the points are in a plane (option b).
The phrase "the set of all the points," as he defines it, has a variety of meanings. among them are:
the set of points on a line.
a plane's set of points.
the region's collection of points
James should have made it clear that the collection of points is in a plane.
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The complete question is mentioned below:
James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough
because he should specify that
(a) a circle includes its diameter
(b) the set of points is in a plane
(c) a circle includes its radius
(d) the set of points are collinear
calculate the frequency of each wavelength of electromagnetic radiation: 632.8 nm (wavelength of red light from helium–neon laser) 503 nm (wavelength of maximum solar radiation) 0.052 nm (wavelength contained in medical x-rays)
the frequency of each wavelength of electromagnetic radiation is
A)frequency of wavelength 632.8nm(red light from helium–neon laser)
is 4.738×10¹⁴ s⁻¹
B)frequency of wavelength 503 nm (maximum solar radiation)
is5.960×10¹⁴ s⁻¹
C)frequency of wavelength 0.052nm (medical x-rays)
is5.765×10¹⁸s⁻¹
A)
632.8 nm (wavelength of red light from helium–neon laser)
1 nm = 10⁻⁹ m
632.8 nm = 632.8×10⁻⁹ m = 6.328×10⁻⁷ m
The speed of light is c = 2.998×10⁸ m/s
λ = 6.328×10⁻⁷ m
the frequency can be calculated as
ƒ = c / λ
ƒ = (2.998×10⁸m/s) / (6.328×10⁻⁷ m)
ƒ = 4.738×10¹⁴ s⁻¹
frequency of wavelength 632.8nm is 4.738×10¹⁴ s⁻¹
B)
503 nm (wavelength of maximum solar radiation)
1 nm = 10⁻⁹ m
503 nm = 503×10⁻⁹m = 5.03×10⁻⁷ m
c = 2.998×10⁸ m/s
λ = 5.03×10⁻⁷ m
the frequency can be calculated as;
ƒ = c / λ
ƒ = (2.998×10⁸ m/s) / (5.03×10⁻⁷m)
ƒ = 5.960×10¹⁴ s⁻¹
frequency of wavelength 503 nm is5.960×10¹⁴ s⁻¹
C)
0.052 nm (wavelength contained in medical x-rays)
1 nm = 10⁻⁹ m
0.0520 nm = 0.0520×10⁻⁹ m = 5.20×10⁻¹¹m
Where the speed of light is
c = 2.998×10⁸ m/s
λ = 5.20×10⁻¹¹ m
the frequency can be calculated as
ƒ = c / λ
ƒ = (2.998×10⁸ m/s) / (5.20×10⁻¹¹ m)
ƒ = 5.765×10¹⁸s⁻¹
frequency of wavelength 0.052nm is5.765×10¹⁸s⁻¹
A)frequency of wavelength 632.8nm(red light from helium–neon laser)
is 4.738×10¹⁴ s⁻¹
B)frequency of wavelength 503 nm (maximum solar radiation)
is5.960×10¹⁴ s⁻¹
C)frequency of wavelength 0.052nm (medical x-rays)
is5.765×10¹⁸s⁻¹
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A girl delivering newspapers covers her route by traveling 3.00 blocks west, 4.00 blocks north, and then 6.00 blocks east. what is her resultant displacement magnitude and direction?
A girl delivering newspapers covers her route by traveling so resultant displacement is 5 blocks.
CalculationHer net x (east-west) displacement is –3.00+0+6.00= +3.00 blocks, while her net y (north-south) displacement is 0+4.00+0=+4.00 blocks.
The magnitude of the resultant displacement is
R= [tex]\sqrt{x^{2} +y^{2} } =\sqrt{3^{2} + 4^{2} }[/tex] = 5 blocks
and the angle made by the resultant
= [tex]\theta[/tex] = [tex]tan^{-2} =[/tex] 4/3
= 53.1°
The resultant displacement is 5 blocks at 53.1°
How does displacement work?The term “displacement” refers to a shift in an object’s position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place.
For instance, if an object shifts from location A to position B, its position changes.
An object’s displacement is equal to its velocity times its acceleration times its time squared plus one-half (t2).
What are distance and displacement?A scalar quantity known as distance measures “how much ground an object has traversed” while moving.
The term “how far out of place an object is” is referred to as displacement, a vector quantity.
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protein electrophoresis uses electric field to separate charged blood protein in a gel. this helps diagnoses various diseases, e.g. cancer. a protein typically has 23 excess electrons. the needed force to separate a protein is 10-14 n. the required electric field in the equipment is n/c.
The required electric field in the equipment is 35.77 * [tex]10^{17}[/tex] N/C.
We know that,
E = F / q
where,
E = Electric field
F = Electric force
q = Charge of electron
Given that,
F = 10e - 14 N = 13.18 N
No. of electrons = 23
q = 23 * 1.602 * [tex]10^{-19}[/tex] = 36.846 * [tex]10^{-19}[/tex] C
E = 13.18 / 36.846 * [tex]10^{-19}[/tex] = 35.77 * [tex]10^{17}[/tex] N / C
Protein electrophoresis is a test used to measure specific proteins in blood. The separation of proteins is based on their electric charge.
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Determine the limiting reactant and calculate the number of grams of al2o3 that can be formed when 10.0 grams of al and 5.00 grams of o2 react.
The 5.00 grams of oxygen gas (O₂) is the limiting reagent and the mass of aluminum oxide formed is 10.6 g.
What is limiting reactant?The limiting reagent is the reactant that is completely used up in a reaction, and thus determines when the reaction stop.
Reaction of oxygen and aluminum to form aluminum oxide3O₂ + 4Al → 2Al₂O₃
combining ratio of the elements;
O = 3
AL = 4
In the reaction above, 5.0 g of oxygen will be completely used, since it has the smaller combining ratio.
Mass of the aluminum oxide formed3O₂ ---------------> 2Al₂O₃
3(16 x 2) ------> 2(27 x 2 + 16 x 3)
96 ------------------> 204
5 -------------------> ?
= (5 x 204)/96
= 10.6 g
Thus, the 5.00 grams of oxygen gas (O₂) is the limiting reagent and the mass of aluminum oxide formed is 10.6 g.
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A starship's engines produce 10,000 N of force. It is traveling at 10 m/s through space. If the starship drops the engine
force output to 3000 N of force, what is the ship's acceleration going to be?
If the starship drops the engine force output to 3000 N of force he ship's acceleration going to be at acceleration, a = 4.28 m/s².
Equation :In the given equation we can see the different force working on engine so,
To find the acceleration first we need the mass of engine
Using formula,
F = m x v
10,000 - 3000 N = m x 10 m/s
7000N = m x 10 m/s
m = 700 kg
Now as we have mass of the engine,
By the formula,
a = F / m
F = 3000 N
m = 700 kg
So, putting values we have :
a = 3000 / 700
a = 4.28 m/s²
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A car moving with an initial speed of 16 meters per second is brought to rest uniformly in 4. 0 seconds. How far does the car travel during this 4. 0-second interval?.
The car in a time of 4 seconds will travel a distance of: 32 m
The formulas for uniformly varied rectilinear motion (UVRM) and procedures we will use to solve this exercise are:
a = (vf - vi) /tx = (vf²-vi²)/ (2a)Where:
x = distancevf = final velocityvi = initial velocitya = accelerationt= timeInformation about the problem:
vi = 16 m/svf= 0 m/st = 4 sa = ?x= ?Applying the acceleration formula we have:
a = (vf - vi) /t
a = (0 m/s - 16 m/s) /4 s
a = (-16 m/s) /4 s
a = -4 m/s²
Acceleration is negative because the car is decelerating
Applying the distance formula, we get:
x = (vf²-vi²)/ (2a)
x = [(0 m/s)²- (16 m/s)²]/ (2 * -4 m/s²)
x = (0 m²/s²- 256 m²/s²)/ -8 m/s²
x = -256 m²/s²/ -8 m/s²
x = 32 m
What is acceleration?It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2
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Which substance is insoluble and Which substance is insoluble and floats in water?
A wood chips
B an ice cube
C a sugar cube
D a handful of salt
The substante that is insoluble and floats is the wood chip and the one that is insoluble is a sugar cube.
What is solubility?Solubility is a property that a substance has to dissolve in another that is called a solvent, this can also depend on the conditions of the temperature to which the solution can be exposed and also the pressure. The solubility will depend on the properties of each of the components, it is not always the same in all types of solutions.
When no more of the solute can dissolve in a solution, the solution is said to be saturated.
Therefore, we can confirm that the substante that is insoluble and floats is the wood chip and the one that is insoluble is a sugar cube.
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A block of mass 5.00 kg rests on a horizontal surface where the coefficient of kinetic friction between the two is 0.200. a string attached to the block is pulled in direction 25 degrees with horizontal, resulting in a 2.50-m/s2 acceleration by the block. find the tension in the string. (g = 9.80 m/s2)
The tension in the string is 19.8 N.
What is mass?Mass is a physical body's total amount of matter. It also serves as a gauge for the body's inertia or resistance to acceleration (change in velocity) in the presence of a net force. The strength of an object's gravitational pull to other bodies is also influenced by its mass.The kilogram is the SI unit of mass (kg). In science and technology, a body's weight in a given reference frame is the force that causes it to accelerate at a rate equal to the local acceleration of free fall in that frame.For instance, a kilogram mass weighs around 2.2 pounds at the surface of the planet. However, the same kilogram mass would weigh just about 0.8 pounds on Mars and about 5.5 pounds on Jupiter.An object's mass is a crucial indicator of how much stuff it contains. Weight is a measurement of an object's gravitational pull. It is influenced by the object's location in addition to its mass. As a result, weight is a measurement of force.Find the tension in the string:
The net force on the block will be:
T - Fr = Fnet = ma
Where T is the tension and Fr is the frictional force
T - ukR = ma
Where R is the upwards normal force equal to the block's weight. R = mg
therefore,
T - uk mg = ma
T - 0.2(5 x 9.8) = 5(2)
=> T = (0.2 x 5 x 9.8) + 5(2) = 19.8 N
This is the tension in the string.
For the free body diagram, draw a block and show a rope connected horizontally to it. The tension in the string will be along the rope outwards from the block. Now, the frictional force will be between the ground and the block and it will be in the opposite direction to the direction of tension of the rope. The force due to gravity will act vertically downwards while the normal force R will act vertically upwards.
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Kriti does a work of 450 joule using the power of 1500 watt. how much time is taken to do the work?
Answer:
450
Explanation:
I think answer is 450.
a ball is initially rolling up a incline with velocity 0.2 m/s. during the motion is it decelerates uniformly at 0.05 m/s² a) at what time does the ball come to a stop? a ball is initially rolling up a incline with velocity 0.2 m/s. during the motion is it decelerates uniformly at 0.05 m/s² a) at what time does the ball come to a stop?
The ball will stop after 6 s.
The initial velocity of the ball is u.
u = 0.2 m/s
Acceleration of the ball is a.
a = 0.05 m/s²
The time interval is t.
t = 6 seconds.
The displacement of the ball at time t is s.
The displacement of the ball at time t is,
[tex]s= ut + \frac{1}{2} at ^{2} [/tex]
[tex]s= 0.2 \times 6+ \frac{1}{2} \times ( - 0.05) \times (6)^{2} [/tex]
[tex]s= 0.3 \: m[/tex]
Therefore, the displacement of the ball at time t is 0.3 meters.
The time at which the ball will stop is,
Distance = Speed × Time
0.3 = 0.05 × Time
Time = 6 seconds.
Therefore, the ball will stop after 6 s.
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he offense can gain the 10 yards by running, or passing the ball, or by a ________________ assessed against the opposition
Answer:
penalty
Explanation:
Penalties can gain your team yards if assessed against the opposition...their are multiple penalties which are assessed 10 yards
At dusk, a man in a park is using binoculars big enough that they are being supported on a tripod. Based on this knowledge, what can be
Inferred about these binoculars?
OA. They have a small field of view.
OB. They use lithium Ion batteries.
OC. They have a lower than normal magnifying power.
OD. They were purchased using a research grant.
They have a lower-than-normal magnifying power. is the correct answer.
Whatever your objective, a binocular tripod enables you to focus and stay there regardless of the wind or other environmental circumstances. You can see various regions simultaneously by using a tripod to hold several lenses in focus at once. Work your way down from the top of your head to get the appropriate tripod height. About four to five inches separate your eyes from the top of your head. The tripod head is roughly 4 to 4.5 inches high, and the telescopic eyepiece is about 4 inches above the bottom of the mount plate.
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For all of their diversity, many less developed countries are linked by a range of common problems. what are these problems? which do you think are the most important? why?
The major problem in a least developed country according to me is probably the low per capita income.
The problems that a less developed country faces are:
Crippling debt ( Due to low per capita income )High populationPoor infrastructureHigher usage of primary sectorA lot of these countries have poor infrastructure for other sectors than primary sector ( Eg. Agriculture, fishing etc. ). This results in exploitation of natural resources with less per capita income ( Amount of money earned per person in a region ). This leads to crippling debts, not just as a person, but as a whole nation.
Therefore, the major problem in a least developed country is probably the low per capita income.
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two parallel conducting plates, each of cross sectional area 460 cm2, are 4.0 cm apart and uncharged. if 4.9 ✕ 1012 electrons are transferred from one plate to the other, what are the following? (a) the charge density on each plate (enter the magnitude in c/m2.) c/m2 (b) the electric field between the plates (enter the magnitude in n/c.) n/c
Surface Charge density on each plate sigma =+- Q/a = +4.9×10²⁴/4.6×10⁻²C/m² and Electric field is found to be 0.12×10³⁸N/C.
Given, here the cross sectional area of the conducting plate (A)
A = 460 cm² = 460 x 10-4 m² = 4.6 x10-²m² and distance between plate, d = 4.0 cm = 4x10² m²
Charge on the plate, Q = ne ,where n= 1×10¹²
Q = ± 10¹² x4.9x 10¹²c = ± 4.9x 10²⁴ c
Now, we have to find charge density on each plate sigma =+- Q/a = +4.9×10²⁴/4.6×10⁻² C/m²
σ= 1.09× 10²⁶ C/m²
Now we have to find electric field between the plates.
E= σ /E°= 1.09× 10²⁶/ 8.85×10⁻¹²
E= 0.12×1038N/C
Charge density is a measure of the amount of electric charge present in a space per unit volume in one, two, or three dimensions. The quantity of electric charge per surface area or volume, respectively, is known as the linear surface or volume charge density.
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before going in for an annual physical, a 70.0-kg person whose body temperature is 37.0∘c consumes an entire 0.355-liter can of a soft drink (which is mostly water) at 12.0∘c.
The equilibrium temperature is required and to find whether the temperature change can be measured by a thermometer is required. The temperature is 310 K.
What is temperature ?A physical measure that describes how hot a substance or radiation is is called temperature.
There are three different types of temperature scales: those, like the SI scale, that are defined in terms of the average translational kinetic energy per freely moving microscopic particle, like an atom, molecule, or electron, in a body; those that only rely on strictly macroscopic properties and thermodynamic principles, like Kelvin's original definition; and those that are defined by practical empirical properties of particulates rather than by theoretical principles.
With a thermometer, temperature is measured. It is calibrated in a number of temperature scales that historically defined themselves using different reference points and thermometric substances. The Celsius scale, originally known as "centigrade," is the most popular scale.
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Which is true of photosynthesis and cellular respiration
Im confused on your questions, however they both need each other to work :D
Answer:
Photosynthesis and cellular respiration are processes by which plants and animals use to create energy from food.
Photosynthesis is exclusive to plants only though. It starts with sunlight which goes through the Electron Transport Chains (ETC's) and then through a cycle known as the Calvin-Benson cycle to create glucose.
Cellular respiration (cell resp) takes the glucose made in photosynthesis (or in the case of humans, from our food) and takes it through the Krebs cycle (sometimes referred to as the Citric Acid cycle) to create Adenosine Triphosphate (ATP) which is used to give us energy.
Hope that helps.
a vector is 55.1 m long pointing in a 13.9 degree angle
The y-component of the vector is 13.24 m.
What is vector component?Vector components allow us to break a single vector quantity into two or more scalar quantities with which we have more mathematical experience.
The two component of a vector include;
y-component of the vectorx-component of the vectorWhat is x-component of a vector?The component of a vector that acts in horizontal direction is known as x-component of the vector.
What is y-component of a vector?The component of a vector that acts in vertical direction is known as y-component of the vector.
The y-component of the vector is calculated as follows;
Vy = V sinθ
Vy = 55.1 m x sin(13.9)
Vy = 13.24 m
Thus, the y-component of the vector is 13.24 m.
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The complete question is below:
a vector is 55.1 m long pointing in a 13.9 degree angle. Find the y-component of the vector.
THE FIRST PERSON TO GIVE ANSWERS GETS BRAINLIEST
PLEASE HELP URGENT
Answer:
number 3
Explanation:
the effort is almost equal to the load
Ammonia is a weak bas. Potassium hydroxide is a strong base. Which statement is correct?
A solution of potassium hydroxide will always have greater productivity than a solution of ammonia
A solution of potassium hydroxide will always have a lesser concentration of salute in a solution of ammonia
A solution of potassium hydroxide will always have a higher pH of a solution of ammonia
A solution of potassium hydroxide will always have more OH negative ions in a solution of ammonia
Ammonia is a weak base and Potassium hydroxide is a strong base, then then the solution of potassium hydroxide will always have a higher pH than a solution of ammonia, therefore the correct answer is option C.
What is a Chemical compound?A chemical compound is a combination of two or more either similar or dissimilar chemical elements.
As given in the problem, ammonia is a weak base. Potassium hydroxide is a strong base then we have to find out which statement is correct from the given list of statements,
Since ammonia is a weak base and potassium hydroxide is a strong base, their solutions will always have a higher pH than ammonia solutions. Option C is the right response.
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Calculate the number of atoms of zinc, zn, if you begin with 8.35 moles of zinc.
Taking into account the definition of Avogadro's Number, 5.029×10²⁴ atoms of zinc are in 8.35 moles.
Definition of Avogadro's NumberAvogadro's Number or Avogadro's Constant is called the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023×10²³ particles per mole. Avogadro's number applies to any substance.
Number of atoms of zincThen you can apply the following rule of three: If 1 mole of zinc contains 6.023×10²³ atoms, 8.35 moles of zinc contains how many atoms?
amount of atoms of zinc= (6.023×10²³ atoms× 8.35 moles)÷ 1 mole
amount of atoms of zinc= 5.029×10²⁴ atoms
Finally, 5.029×10²⁴ atoms of zinc are in 8.35 moles.
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What did gravity create when 99% of the gas and dust materials were gathered into the center of a flattened disc during the formation of the solar system?.
gravity created a solar nebula when 99% of the gas and dust materials were gathered into the center of a flattened disc during the formation of the solar system
The explosion of a flattened disc created waves in space that compressed the cloud of gas and dust. The cloud is all gravitationally bounded together.
As the cloud continued to fall inward, the center eventually became so hot that it became a star, the Sun, and blew away most of the new solar system's gas and dust with a powerful stellar wind.
This squeeze caused the cloud to begin collapsing as gravity pulled the gas and dust together to form the solar nebula.
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two parallel conducting plates are separated by 10.0 cm, and one of them is taken to be at zero volts. (a) what is the electric field strength (in kv/m) between them, if the potential 5.50 cm from the zero volt plate (and 4.50 cm from the other) is 470 v?
Based on the problem, the distance between two parallel conducting plate is x=10cm=0.10mx=10cm=0.10m
The electric fielda)
The potential difference is V= 593VV= 593V
The distance between is d=7.05cm= 0.705md= 7.05cm= 0.705m
Recall the expression for the electric field.
E= VdE= Vd
Substitute the given values in above equation.
E= 5930.705= 841.13V/ mE =5930.705 = 841.13V/Vmm
Thus, the electric field strength is 841.13V/m.841.13V/Vmm.
b)
Recall the term for the voltage between the plate.
ΔV= E× x ΔV= E×x
Substitute the given values in above equation.
ΔV=841.13V/m×0.10m=84.11VΔV=841.13V/Vmm×0.10m=84.11V
Thus, the voltage within the plate is 84.11V.
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an antelope moving with constant acceleration covers the distance 80.0 m between two points in time 8.00 s. its speed as it passes the second point is 16.0 m/s.
Antelope's acceleration as it passes the second point is 1.65 m/s².
Speed: The ratio of distance to time can be used to quantify speed. M/s is the S.I. unit of speed.
Newton's equation of motion yields the following: S = (v+u)t/2.
u is the starting speed, v is the final speed, and S is the distance.
Given: v = 16.0 m/s, t = 7.10 s, S = 72 m.
making u the subject of the equation,
7.1(16+u) = 72×2
113.6+7.1u = 144
7.1u = 144-113.6
7.1u = 30.4
u = 30.4/7.1
u = 4.28 m/s
Thus the speed at the first point = 4.28 m/s .
The rate at which velocity changes is known as acceleration. M/s2 is the SI unit of acceleration.
a = (v-u)/t............................ Equation 2: acceleration is given by a.
v = 16.0 m/s, u = 4.28 m/s, and t = 7.10 s are given.
Replace in equation 2
a = (16-4.28)/7.1
a = 11.72/7.10
a = 1.65 m/s²
Thus the acceleration = 1.65 m/s².
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