The empirical formula is KClO₃
Empirical formula - The simplest whole no. combination of element in that compound.
The empirical formula of the compound is calculated :
sample of compound (mass) ,M = 23.23g
potassium, k, = 7.41 g
chlorine, cl,= 6.72
oxygen, o, = ?
[tex]M = k_{m} + Cl_{n} + o_{p}[/tex]
23.23g = 7.41g + 6.72g + o
o = 9.1g
the moles of each element, (moles) = mass/ molar mass
moles of K = 7.41g/39 g/mol(molar mass of K) = 0.18 moles
moles of Cl = 6.72g/35.5 g/mol(molar mass of Cl) = 0.18 moles
moles of O = 9.1g/ 16g/mol(molar mass of O) = 0.57 moles
then calculate e mole ratio by dividing each mole by the smallest number of moles ( 0.18 moles)
K= 0.18/0.18= 1
Cl=0.18/0.18=1
O= 0.56/0.18=3
Hence the empirical formula = KClO₃
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Ernest rutherford was a prominent scientist who contributed significantly to the theory of atomic structure. True or false?.
It is true that Ernest Rutherford contributed significantly to the theory of atomic structure.
He observed that particles with a positive charge deflected when passing through a thin sheet of gold foil concluded that the positive part of the atom is small and dense.
The Ernest Rutherford experiment describes planetary model of an atom. According to the model, an atom has a tiny, compact, positively charged centre called a nucleus, where almost all of the mass is concentrated, while light, negatively charged particles called electrons orbit far around it, much like planets orbit the Sun. In his experiment, the observation that a positive charge is deflected through a thin sheet of gold foil led to the conclusion that the deflection some of the positive charge occurs in a small region of the atom while the majority passed through the atom (which was also concluded to be empty space).
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Calculate the wavelength of a photon (in nm) emitted when an electron transitions from the n = 3 state to the n = 1 state in the hydrogen atom.
The wavelength of a photon (in nm) emitted when an electron transitions from the n = 3 state to the n = 1 state in the hydrogen atom is 103 nm
What is a Wavelength ?A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles.
There are two energy levels, n1 and n2.
Beginning with Rydberg's equation, write:
The Rydberg is useful for figuring out the wavelength of light emitted when an electron switches from one energy level of an atom to another, for as from higher to lower or lower to higher. When an electron moves from one orbital to another, the energy will change.
1/λ = R(1/n1^2 - 1/n2^2)
1/λ = 1.097 x 10^7 (1/1^2 - 1/3^2)
1/λ = 1.097 x 10^7(8/9)
1/λ = 9/8.776 x 10^7 = 103 x 10^-9 m = 103 nm
Hence, the wavelength of a photon is 103 nm
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If a 50.7 mg sample of protein a in 1.5 ml of water has an osmotic pressure of 0.273 atm, what is the molar mass of protein a?
The calculated value is 13963.42 g/mol
Protein Molecular Weight determines the molecular weight from a protein sequence. Using the provided list, you can append copies of frequently used epitopes and fusion proteins. The Rubisco monomer is a typical soluble protein, and a basic rule of thumb for thinking about soluble proteins is that they are 3-6 nm in diameter, which demonstrates not only Rubisco but many other significant proteins that are essential for cell function.
Mass of protein (w2) =0.1g
R=0.082 L atm/ (k mol)
T=298K
π=13.33 mm of Hg = 760/13.33
=0.0175 atm
volume of solution =0.01L
Using,
M2= πVW2RT
We get M2
= 0.0175×0.01/0.1×0.082×298
=13963.42 g/mol
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Write a difference quotient that best approximates the instantaneous rate of change of g at x=4.5.
The difference quotient that best approximates the instantaneous rate of change is 1.
What do you mean average rate of change?Average rate of change is rate at which one value within a function changes in relationship to another. The average rate of change is usually used to determine slope of a graphed function.
Let's explore how to find average rate of change and use linear and nonlinear functions to demonstrate it.
The average rate of change the formula is used to find the slope of a graphed function. To find average rate of change, divide the change in y-values by the change in x-values.
Finding average rate of change is particularly useful for determining changes in measurable values like average speed or average velocity.
We can define average rate of change of a function f(x) in interval [a, b] as:
[tex]r=\frac{f_{b}-f_{a} }{b-a}[/tex]
Particularly, if we want to find an approximation of rate of change for a particular value x', we can choose:
a < x' < b
Such that a and b are close to x'.
Then if we want to find the instantaneous rate of change of g at x = 0, we need to find the values of a and b really close to zero.
Looking at the table, we can choose:
a = -0.001
b = 0.001
(are two closer ones to zero)
Then rate of the change can be written as:
[tex]f(x)=\frac{g(0.001)-g(-0.001)}{0.001-(-0.001)}=\frac{2.001-1.999}{0.002}=1[/tex]
From that, we can conclude that a good approximation of instantaneous rate of change is 1.
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When a person is
nearsighted, an eyeglass lens is needed to
bend light entering the eye away from the
optical axis. What type of lens will do this?
If the force of gravity exerted on the sun by the earth is the same as the force exerted by the earth on the sun, why does the earth orbit the sun, and not the other way around?
The gravitational pull accelerates the Earth more since it is less heavy and causes it to move more quickly.
What are the three realities of gravity ?The mass of the Earth is what creates gravity. The combined gravitational force of all of its mass acts on the mass in your body. We couldn't survive without gravity. It produces the force that keeps the Earth in orbit around the Sun and keeps us on the surface of the planet. When two objects contact, forces are the mechanism by which energy is transmitted from one to the other, but forces do not themselves contain energy. Since gravity is a force, it only offers one method for objects to exchange energy and change its state.
The weakest force that humans are aware of is gravity.
Weight and gravity are not the same.
Gravity generates waves that move at light speed.
Gravitons, which are massless particles, may carry gravity.
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If the volume of a gaseous system is increased by a factor of 3 and the temperature is raised by a factor of 6, then the pressure of the system will.
A gaseous system's pressure will rise by a factor of 2 if its volume is increased by a factor of 3 and its temperature is raised by a factor of 6.
What do you mean by pressure?The stress at a location within a confined fluid or the perpendicular force per unit area are the two definitions of pressure used in the physical sciences. A surface will be subject to pressure from a 42-pound box with a bottom area of 84 square inches equivalent to half a pound per square inch of applied force. The weight of the atmosphere pressing down on each square inch of the Earth's surface is known as atmospheric pressure, which is approximately 15 pounds per square inch at sea level. In SI units, pressure is expressed in Pascals.
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The exchange of energy between the surface of the earth, the atmosphere, and space causes ________________ .
A small change in the atmospheric condition can create a different weather pattern. Each weather pattern has a domino effect, creating a ripple effect around the world.
Weather is the state of the atmosphere with respect to heat or cold, wet or dry, calm or stormy, clear or cloudy.
The exchange of energy between the surface of the earth, the atmosphere, and space causes weather.
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two gliders are set in motion on a horizontal air track. a light spring of force constant k is attached to the back end of the second glider. both gliders are having the same mass m. the first glider moves to the right with speed v1 and the second is at rest. when the first glider collides with the spring attached to the second glider, the spring compress by a distance xmax, and the gliders then move apart again. in terms of v1, m, and k, find
The constant velocity of center of mass when the spring is at maximum compression is V = ( [tex]m_{1} v_{1}[/tex] + [tex]m_{2} v_{2}[/tex] ) / ([tex]m_{1} + m_{2}[/tex] )
When two objects collide the momentum is always conserved no matter the type of collision. But in case of kinetic energy, it is conserved only if the collision is elastic. Here the collision is elastic due to the presence of a spring. So, in this situation kinetic energy is conserved.
At maximum compression, According to law of conservation of momentum,
Sum of linear momentum before collision = Sum of linear momentum after collision
[tex]m_{1} v_{1}[/tex] + [tex]m_{2} v_{2}[/tex] = ([tex]m_{1} + m_{2}[/tex] ) V
V = ( [tex]m_{1} v_{1}[/tex] + [tex]m_{2} v_{2}[/tex] ) / ([tex]m_{1} + m_{2}[/tex] )
where,
V = Velocity of center of mass
[tex]m_{1}[/tex] = Mass of glider 1
[tex]m_{2}[/tex] = Mass of glider 2
[tex]v_{1}[/tex] = Velocity of glider 1
[tex]v_{2}[/tex] = Velocity of glider 2
Therefore, the constant velocity of center of mass when the spring is at maximum compression is V = ( [tex]m_{1} v_{1}[/tex] + [tex]m_{2} v_{2}[/tex] ) / ([tex]m_{1} + m_{2}[/tex] )
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An urn contains 6 white and 9 black balls. if 4 balls are to be randomly selected without replacement, what is the probability that the first 2 selected are white and the last 2 black?
When selected randomly without replacement the probability that the first 2 selected are white and the last 2 black is 6/91
Given that,
No. of white balls = 6
No. of black balls = 9
Total number of balls = 15
Probability of 1st ball being white = 6/15
Probability of 2st ball being white = 5/14
(Since one white ball is already picked)
Probability of 3rd ball being black = 9/13
(Since two white balls are already picked)
Probability of 4th ball being black = 8/12
(Since two white balls and one black ball is already picked)
The probability that the first 2 selected are white and the last 2 black
= 6/15 * 5/14 * 9/13 * 8/12
= 6/91
Therefore, when selected randomly without replacement the probability that the first 2 selected are white and the last 2 black is 6/91
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If a car moving at 76 mi/h takes 400 ft to stop with uniform acceleration after its brakes are applied, how far will it take to stop under the same conditions if its initial velocity is 38 mi/h ?
80 step it will take to stop under the same conditions if its initial velocity is 38 mi/h.
What is velocity?Speed is the directional speed of an item moving as a sign of its pace of progress ready as seen from a specific edge of reference and as estimated by a specific norm of time (for example 60 km/h northward). Speed is an essential idea in kinematics, the part of old-style mechanics that portrays the movement of bodies. Velocity is characterized as the pace of progress of position concerning time, which may likewise be alluded to as the immediate speed to stress the qualification from the typical speed. In certain applications the typical speed of an item may be required, in other words, the steady speed that would give a similar resultant relocation as a variable speed.
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A space shuttle orbiting earth travels a distance of about 30 miles in 6 seconds. what is the average speed of the space shiuttle in miles per second?
The average speed of the space shuttled in miles per second is 5 miles.
How big is the Space Shuttle?The Space Transport is a resigned, to some degree reusable low Earth orbital rocket framework worked from 1981 to 2011 by the U.S. Public Flying and Space Organization as a feature of the Space Transport program. It's true program name was Space Transportation Framework, taken from a 1969 arrangement for an arrangement of reusable rocket where it was the main thing financed for improvement. A completely collected transport is 184 feet tall and weighs 4,500,000 pounds. The cove is 15 feet in breadth and 60 feet in length; sufficiently enormous to fit a school transport or 50,000 pounds of payload. The bus's speed on circle is around 17,500 mph. The bus has three primary components, the orbiter, the twin strong rocket sponsors and the outer tank.
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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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The pupil of a cat's eye narrows to a vertical slit of width 0. 500mm in daylight. Assume the average wavelength of the light is 500nm. What is the angular resolution for horizontally separated mice?
The angular resolution for horizontally separated mice is 1.00×10−3 rad
The Rayleigh criterion for the diffraction limit to resolution states “that two images are just resolvable when the center of the diffraction pattern of one is directly over the first minimum of the diffraction pattern of the other”. This criterion is based on the fact that Light diffracts as it moves through space, bending around obstacles, interfering constructively and destructively.
We assume Rayleigh's criterion applies to the cat's eye with pupil narrowed. For a single slit (not a round aperture), for small angles
θ ≈ sin θ =λ/a
= 500×10−9m / 0.500 × 10−3m
=1.00×10−3 rad
Hence, the angular resolution for horizontally separated mice is 1.00×10−3 rad
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The shaft is supported by a smooth thrust bearing at a and a smooth journal bearing at
b. determine the resultant internal loadings acting on the cross section at
c. 600n/m b c lm -lsml sm 900
The resultant internal loading acting on the cross section of C are Normal force of 0 N, Shear force of 233.33 N and Bending moment of 433.325 N.
We know that Moment = Force * Distance.
Given that,
Force along span C = 600 N / m
First chart a free body diagram as shown in Fig 1.
The distributed load along span c is replaced by a point load F at its midpoint.
Force at midpoint of span C = 600 * 2 N
Take moments about point A
Σ [tex]M_{A}[/tex] = 0
-600 * ( 2 ) * [ 1 + ( ( 1 + 1 ) / 2 ) ] + [tex]B_{y}[/tex] ( 4.5 ) - 900 ( 6 ) = 0
- 2400 + 4.5 [tex]B_{y}[/tex] - 5400 = 0
[tex]B_{y}[/tex] = 1733.33 N
Consider a section at Point C and draw a free body diagram as shown in Fig 2.
In fig 2,
[tex]V_{C}[/tex] = Shear force at point C
[tex]N_{C}[/tex] = Normal force at point C
[tex]M_{C}[/tex] = Bending moment at point C
Applying equilibrium condition to the system. Consider equilibrium of Forces along X direction
Σ [tex]F_{x}[/tex] = 0
[tex]N_{C}[/tex] = 0 N
Consider equilibrium of Forces along Y direction
Σ [tex]F_{y}[/tex] = 0
[tex]V_{C}[/tex] - 600 ( 1 ) + [tex]B_{y}[/tex] - 900 = 0
[tex]V_{C}[/tex] = 600 - 1733.33 + 900
[tex]V_{C}[/tex] = 233.33 N
Take moment about point C
Σ [tex]M_{C}[/tex] = 0
- [tex]M_{C}[/tex] - 600 ( 1 ) ( 1 / 2 * 1 ) + [tex]B_{y}[/tex] ( 2.5 ) - 900 ( 4 ) = 0
- [tex]M_{C}[/tex] - 300 + 2.5 ( 1733.33 ) - 3600 = 0
[tex]M_{C}[/tex] = 433.325 N
The resultant internal loading acting on the cross section are Normal force, Shear force and Bending moment
Therefore, The resultant internal loading acting on the cross section of C are as follows
Normal force [tex]N_{C}[/tex] = 0 N
Shear force [tex]V_{C}[/tex] = 233.33 N
Bending moment [tex]M_{C}[/tex] = 433.325 N
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A 4kg block moving right at 6 m/s collides elastically with a 2kg block moving right at 3 m/s find their final velocity
The final velocity of block 1 is 2.2m/s and the final velocity of block 2 is 3.4m/s.
What do you mean by elastically?Although the terms scalability and elasticity are occasionally used interchangeably, scalability is more commonly used to describe a system's ability to successfully handle an increasing workload, while elasticity implies that the system is also capable of rapidly expanding or decreasing capacity and services. The capacity of an IT environment to grow and shrink in response to business requirements is one of its characteristics. Physics defines resilience as a material's ability to absorb energy and react elastically in order to maintain its integrity and avoid deforming as a result of the pressures it is subjected to.
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An electric heater uses a current of 15 A. In total, 450 C of charge flows
through the heater while it is switched on. Calculate how long the heater was
switched on for. Use the symbol equation below to help you. You may need to
rearrange the equation.
Q=It
Answer:
30s
Explanation:
Q = charge in C(coulombs)
I = current in A(amps)
t = time in s(seconds)
Q = I × t
t = Q/I
Substitute in the given values.
t = 450C/15A = 30
t = 30s
Hope this helps! ^^
The heater was switched on for 30 seconds to allow 450 C of charge to flow through it.
To find the time the heater was switched on, we can use the equation Q = It,
where Q represents the total charge in coulombs, I is the current in amperes, and t is the time in seconds.
Given that the current (I) is 15 A and the total charge (Q) is 450 C, we can rearrange the equation to solve for time (t):
t = Q / I
Substitute the values:
t = 450 C / 15 A
t = 30 seconds
Therefore, the heater was switched on for 30 seconds to allow 450 C of charge to flow through it.
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Roughly how many times farther is it from the sun to alpha centauri than from the sun to jupiter?
From the sun to Alpha Centauri than from the sun to Jupiter it is 105 times further. The age of Alpha Centauri is 5.3 billion years older. It also moves in a totally different way. Even though it is close by, it is only passing.
What if Alpha Centauri replaced the position of the Sun?Alpha Centauri A is around 100,000 miles farther away, 10% more massive, and a little bigger than our Sun. All of the planets' orbits will become more elliptical as a result of the increased mass. The reality that Alpha Centauri A is 50% brighter than our star, placing Earth slightly inside the habitable zone, is much worse for the Earth. Most of Earth's surface is currently uninhabitable due to its average surface temperature of 43 degrees Celsius, according to Universe Sandbox 2. It has been clearly stated to us, though, that a temperature so high would most likely lead to an uncontrollable greenhouse effect by increasing the amount of water vapor in the atmosphere.
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which four items were invented for moving and working in space This is astrology but it didn't give me an option to put that as the subject.
Answer: Innovations originally designed for space vehicles, including artificial muscle systems, robotic sensors, diamond-joint coatings, and temper foam,
Explanation: make artificial human limbs more functional, durable, comfortable, and life-like.
A nurse is calculating the pulse pressure for a client who has a blood pressure of 150/80. what is the pulse pressure?
According to the given statement the pulse pressure = 70mm Hg.
The correct option is 2.
What is heart rate?Systolic, as well as diastolic blood pressure, as well as diastolic blood pressure, is divided to create pulse pressure. Mercury millimeters are used to measure it (mmHg).It represents the contractional force of the beating heart. Normal rested blood pressure is about 120/80 mmHg, which results in a pulse pressure of about 40 mmHg.
How is pulse pressure determined in nursing?Diastolic blood pressure is subtracted from systolic blood pressure to determine pulse pressure. Age-related changes in the aorta and minor arteries' compliance result in elevated systolic pressure and decreased diastolic pressure, which raises pulse pressure.
According to the given information:Diastolic and systolic blood pressure differences are used to compute pulse pressure.
So, 150 - 80
= 70.
According to the given statement the pulse pressure = 70mm Hg
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I understand that the question you are looking for is:
A nurse is calculating the pulse pressure for a client who has a blood pressure of 150/80. What is the pulse pressure?
1. 230 mm Hg
2. 70 mm Hg
3. 1.875 mm Hg
4. 140 mm Hg
2. 70 mm Hg
Ice is put in a cooler to cool the contents. to speed up the cooling process, the ice can be?
Crushing increases the ice's surface area. Additionally, cooling from ice happens as a result of convection, which is proportional to area. Thus, breaking up the ice expedites the cooling process.
What is cooling process?When precise and consistent temperature control inside a process is necessary, this sort of cooling is used. Because they can offer cooling capacity independent of variations in the ambient temperature, heat load, and flow needs of the application, chillers are frequently employed to remove heat from a process.
It's important to properly regulate the heat load in many industrial operations. Different components of the whole application might need to be cooled.
Major locations for cooling include:
Direct product cooling
During the molding process, plastic
milling metal products
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Find the magnitude of ax, the acceleration of the car after the brakes are applied.
The magnitude of ax is given by |ax|= | v₀²/2(d −v₀t) |
acceleration: change in velocity with respect to time.
It is a vector quantity. That means it has both magnitude. As well as direction.
a = dv/dt
where
dv = change in velocity
dt = Time
the unit of acceleration is m/s²
magnitude of acceleration is represented by its unit and the direction is represented by a unit vector.
according to the Newton's Second Law acceleration is proportional to the total force and inversely proportional to the objects mass.
magnitude of acceleration is proportional to magnitude of this force.
The magnitude of ax is given by |ax|= | v₀²/2(d −v₀t) |
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A person who weighs 100 pounds steps onto a scale which indicates that they weigh 200 pounds. he/she gets off the scale, steps back on, and it still reads 200 pounds. that scale is considered:________
The scale is said to be reliable but not valid.
A person weighing 100 pounds is expected to return the same weight on mounting a scale, measuring 200 pounds means the scale is probably uncalibrated. However, when the person steps off and climbs back and the scale still shows 200 pounds this means the scale is reliable but not valid. The scale would have been rendered unreliable and invalid if it returns a different weight of the person. Hence, the scale is working but needs to be calibrated properly. It is also probable that the scale had been earlier set to 100 pounds which explains the reason for a doubled result.
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A pizza delivery must make three stops on her route. She will first leave the restaurant and travel 4km due north to the first house. The next house is 6km away at 45 south of west according to her map. The final stop is 5km away at 60 north of west. What is her displacement from the restaurant to the final stop
5.3 km
This question involves continuous displacement in various directions. When it becomes difficult to imagine, vector analysis becomes handy.
Let us denote each of the individual displacements by a vector. Consider the unit vectors as the unit vectors in the direction of East and North respectively.
By simple calculations, we can derive the unit vectors j,[tex]\frac{-i-j}{2}[/tex] and in the directions North, South of West, and North of West respectively.
So Total displacement vector = The Sum of individual displacement vectors.
Displacement vector = -4.25i + 3.165j
The magnitude of Displacement =| -4.25i + 3.165j | = 5.3km
∴ Total displacement = 5.3km
A displacement is a vector in geometry and mechanics that have a length equal to the shortest distance between a point P's initial and final positions. It measures the length and angle of the net motion, or total motion, in a straight line from the starting point to the destination of the point trajectory. The translation that links the starting point and the ending point can be used to spot a displacement.
The final location xf of a point relative to its beginning position xi, or a relative position (derived from the motion), is another way to express a displacement. The difference between the final and initial coordinates can be used to define the equivalent displacement vector.
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a student says " a running squirrel has a speed of 7 m/s , what is wrong with this statement .
help
The statement is incorrect as the Speed of anything cannot be negative.
The speed of a body is a scalar quantity and the speed of anybody may be defined as the distance covered by the body per unit of time. the speed of anybody is represented in the form of Distance and time as:
Speed = Distance/time
As both Distance and time are quantities that can never have a negative value therefore the speed of a body also can never have a negative value. In this statement a student refers to a bird and says that its speed is - 7m/s which indicates that the speed is negative that is why this statement is wrong as speed can never have a negative value. The speed of a body is always positive or zero.
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Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = 7 cos(t)i 6 sin(t)j v(t) = a(t) = |v(t)| =
The velocity, acceleration and speed are -
v(t) = - 7sin t [tex]i[/tex] + 6cos t [tex]j[/tex]
a(t) = - 7cos t [tex]i[/tex] - 6sin t [tex]j[/tex]
s(t) = [tex]\sqrt{(7cos\;t) ^{2} +(6sin\;t)^{2} }[/tex]
We have the position vector → r(t) = 7cos(t) i + 6sin(t) j
We have to determine the velocity, acceleration and speed of particle.
What is the formula to calculate the instantaneous velocity and acceleration of object ?The instantaneous velocity and acceleration can be calculated using -
v = [tex]$\frac{dx}{dt}[/tex]
a = [tex]$\frac{dv}{dt}[/tex]
According to the question, we have -
r(t) = 7cos(t) i + 6sin(t) j
The velocity can be calculated using -
v(t) = [tex]$\frac{dr(t)}{dt} = \frac{d}{dt}\;(7 cos\;t \;i + 6 sin\;t\;j)[/tex] = - 7sin t [tex]i[/tex] + 6cos t [tex]j[/tex]
The acceleration can be calculated using -
a(t) = [tex]$\frac{dv(t)}{dt} = \frac{d}{dt}\;(-7 sin\;t \;i + 6 cos\;t\;j)[/tex] = - 7cos t [tex]i[/tex] - 6sin t [tex]j[/tex]
The speed at time t can be found out as follows -
|r(t)| = [tex]\sqrt{(7cos\;t) ^{2} +(6sin\;t)^{2} }[/tex]
Hence, the velocity, acceleration and speed are -
v(t) = - 7sin t [tex]i[/tex] + 6cos t [tex]j[/tex]
a(t) = - 7cos t [tex]i[/tex] - 6sin t [tex]j[/tex]
s(t) = [tex]\sqrt{(7cos\;t) ^{2} +(6sin\;t)^{2} }[/tex]
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F = (-3.4,7.0), where all components are in newtons. what is the magnitude (in newtons) of f?
The all components of force is F = ( -3.4 i + 7 j ) N which has magnitude of | F | = 7.78 N.
We need to know about vectors to solve this problem. Force is included in the vector which has magnitude and direction. Force can be written as
F = Fx i + Fy j
where F is force, Fx is the force component on the x-axis, Fy is the force component on the y-axis.
From the question above, we know that
F = (-3.4 , 7.0)
Hence the force can be written as
F = ( -3.4 i + 7 j )N
The magnitude of this force can be determined as
| F | = √(Fx² + Fy²)
| F | = √((-3.4)² + 7²)
| F | = √(11.56 + 49)
| F | = 7.78 N
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A variable has a mean of 1,400 and a standard deviation of 100. a. using chebyshev's theorem, what percentage of the observations fall between 1,100 and 1,700?
According to Chebyshev's Theorem, the percentage of data within k standard deviations of the mean must be at least 1 - 1/k2 for any distribution, normal or otherwise.
In this instance, the mean is 1600 and the standard deviation is 120. The boundaries are set at 1240 and 1960. 360 data points are below and above the mean here. Considering that the standard deviation is 120 and that the mean is within 3 standard deviations of that value (360/120), k is equal to 3. As a result, 1 - 1/32 equals 1 - 1/9. This is 8/9, or almost 89%.
There is a range of 1360 to 1840. Within two standard deviations of the mean, this is 240 above and below the mean. Consequently, at least a fraction of the data fall inside this range.
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An object is dropped from the rest near the surface of the earth. if the time interval durinh which it falls is cut in half, the distance it fall will:________
If the time interval during which it falls is cut in half, the distance it fall will be decreased by a factor of 4.
When there is an uniform acceleration,
s = vt - 1/2 a[tex]t^{2}[/tex]
where,
s = Displacement or distance travelled
v = Final velocity ( Here v = 0 )
a = Acceleration
t = Time
[tex]s_{1}[/tex] = - 1/2 a[tex]t_{1} ^{2}[/tex]
[tex]s_{2}[/tex] = - 1/2 a[tex]t_{2} ^{2}[/tex]
Given that,
[tex]t_{2}[/tex] = [tex]t_{1}[/tex] / 2
[tex]t_{1}[/tex] = 2 [tex]t_{2}[/tex]
Rate of change of displacement [tex]s_{2}[/tex] / [tex]s_{1}[/tex] = ( - 1/2 a[tex]t_{2} ^{2}[/tex] ) / ( - 1/2 a[tex]t_{1} ^{2}[/tex] )
= [tex]t_{2} ^{2}[/tex] / 4[tex]t_{2} ^{2}[/tex]
[tex]s_{2}[/tex] = [tex]s_{1}[/tex] / 4
The equation s = vt - 1/2 a[tex]t^{2}[/tex] is an equation of motion. Equations of motion describes a physical system's motion with respect to time.
Therefore, If the time interval during which it falls is cut in half, the distance it fall will be decreased by a factor of 4
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Name the units for each electrical quantity. a. potential difference (electrical pressure) _____ b. electrical current ______ c. electrical resistance ______
The answer of the question is
(a)Voltage or Volt
(b)Ampere (A)
(c)Ohm
