Because Newton could not provide comprehensive proof, his Binomial Theorem is not a "theorem" in the sense of Euclid or Archimedes. Nonetheless, his knowledge and intuition served him well enough for him to construct a useful formula.
Furthermore, his intrinsic conviction in the persistence of patterns led him to believe that the formula that correctly generated coefficients for binomial powers such as (a+b)^2 or (a+b)^3 should also work for powers such as (a+b)^1/2 or (a+b)^−3.
Although Newton did not establish this finding, we do know how he came to it. Newton's explanation is offered in a pair of letters dated 1676 and delivered to Leibniz by Henry Oldenburg of the Royal Society. In it, he describes how he came to his conclusion in a roundabout way.
He was looking at the areas under the curves y=(1−x2)n2 from 0 to x for n=0, 1, 2, 3,.... These are simple to compute for even n. Newton was able to guess the solution for odd values of n by studying patterns and interpolating. Then he recognized that expressing (1−x2)n2 as an infinite series would provide the same results.
Newton wrote :
(P+PQ)mn=Pmn+mnAQ+m−n2nBQ+m−2n3nCQ+…
where P+PQ is the binomial to be considered; mn is the power to which the binomial will be raised "whether that power is integral or (so to speak) fractional, positive or negative"; and A,B,C,... indicate the term immediately preceding it in the expansion.
When compared to the present version, this may appear strange. When you remove the Pmn word from the right side and cancel, you get the more known form:
(1+Q)mn=1+mnQ+(m/n)(m/n−1)2Q2+(m/n)(m/n−1)(m/n−2)2×3Q3+(m/n)(m/n−1)(m/n−2)(m/n−3)2×3×4Q4+…
Thus, in Newton's notation,
A=Pmn
B=mnAQ=mnPmnQ
C=(m−n)2nBQ=(m−n)m(2n)nPmnQ2=(m/n)(m/n−1)2PmnQ^2
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Fred (m=67 kg) foolishly attempts top jump from a canoe (45kg) to the dock. if he jumps forward with a speed of 3.3 m/s how fast will the canoe move backward
Answer:
Approximately [tex]4.9\; {\rm m\cdot s^{-1}}[/tex] backward, assuming that the canoe was initially stationary.
Explanation:
When an object of mass [tex]m[/tex] is moving at a velocity of [tex]v[/tex], the momentum [tex]p[/tex] of that object would be [tex]p = m\, v[/tex].
With a mass of [tex]m = 67\; {\rm kg}[/tex] and a velocity of [tex]v = 3.3\; {\rm m\cdot s^{-1}}[/tex] forward, the momentum of Fred would be [tex]p = m\, v = 67\; {\rm kg} \times 3.3\; {\rm m\cdot s^{-1}} = 22.11\; {\rm kg \cdot m \cdot s^{-1}}[/tex] (forward.)
Before the jump, the velocity of the boat and Fred were both [tex]0\; {\rm m \cdot s^{-1}}[/tex]. Hence, the momentum of both Fred and the boat would initially be [tex]0\; {\rm kg \cdot m \cdot s^{-1}}[/tex].
Momentum is preserved immediately after the jump. Thus, the momentum of Fred plus the momentum of the boat would still be [tex]0\; {\rm kg \cdot m \cdot s^{-1}}[/tex] after the jump.
Since the momentum of Fred was [tex]22.11\; {\rm kg \cdot m \cdot s^{-1}}[/tex], the momentum of the boat would be [tex](-22.11\; {\rm kg \cdot m \cdot s^{-1}})[/tex] (backward, as the negative sign indicates.)
Rearrange [tex]p = m\, v[/tex] to find velocity in terms of mass [tex]m[/tex] and momentum [tex]p[/tex]:
[tex]\begin{aligned} v &= \frac{p}{m} \\ &= \frac{-22.11\; {\rm kg \cdot m \cdot s^{-1}}}{67\; {\rm kg}} \\ &\approx (-4.9)\; {\rm m \cdot s^{-1}}\end{aligned}[/tex].
In other words, the velocity of the boat would be approximate [tex]4.9\; {\rm m\cdot s^{-1}}[/tex] backwards.
A student walked 100 meters north, then 100 meters west. How many more meters did the student walk compared to their total displacement from their starting point?.
Answer: The total distance walked is about 59 meters more than the student’s displacement.
Explanation:
The student walked 58.57 meters more than compared to its total displacement from its starting point.
What are Distance and Displacement?Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. The distance can refer to a physical length in physics or an estimate based on other factors in common usage.
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. Displacement is the term used to describe this shift in an object's position.
According to the question :
A student walked 100 meters north and then walks 100 meters west then its displacement will be, according to the Pythagoras theorem
h² = p²+b²
h² = 100² + 100²
h² = 20,000
h = 141.42 meters
This means the total displacement is 141.42 meters, but the student has traveled 200 meters.
200 - 141.42 = 58.57 meters
Hence, the student walks 58.57 meters more than the total displacement.
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The fact that voyager 1 continues to speed out of the solar system, even though its rockets have no fuel, is an example of:__________
The fact that voyager 1 continues to speed out of the solar system even though its rockets have no fuel is an example of Newton's first law of motion.
Newton's first law of motion states that "an object will continue to be in a state of rest, or will continue to move at constant speed, unless it is acted upon by a force". In other words, if an object is already moving, it won't slow down or speed up on its own, unless it collides with another object, or a force acts on it.
Voyager 1 was launched in 1977 in an attempt to study the outer solar system. While it was being launched, rockets were used in order to break free from the gravitational pull of the earth. After that, the rockets continued to propel voyager 1 away from the earth, until it eventually ran out of fuel.
Even though its rocket is out of fuel, the satellite will continue to speed out of the solar system. This is because, according to Newton's first law of motion, voyager 1 will still continue in uniform motion out to space, unless it collides with an asteroid, or it enters the gravitational field of another planet, but for now, it will just continue to move.
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If a cd player uses electricity at a rate of 16 w, how much energy in kwh does it use in a 6 hours?
An energy unit known as a kilowatt-hour is one kilowatt of power for one hour. It is 3.6 megajoules, or in conventional units.
What is energy in kwh?An energy unit known as a kilowatt-hour is one kilowatt of power for one hour. It is 3.6 megajoules, or in conventional units. Kilowatt-hours are a typical billing unit for the electrical energy that electric companies provide to their customers. The kilowatt-hour (abbreviated kWh) is a measure of energy that represents one kilowatt's (1 kW) power output over the course of one hour. Although it is not a formal standard unit in any system, the kilowatt-hour is frequently employed in electrical applications. A kilowatt hour (kWh) is a unit of measurement for your hourly energy use, whereas a kW is a unit of power. Kilowatt, sometimes known as kW, is a unit of measurement for electricity. Therefore, 1,000 watts make up one kilowatt.The Formula for Calculating Watts Into Kilowatt-Hours:
kWh = (watts × hrs) ÷ 1,000
[tex]= ( 16*6)/1000[/tex]
=0.096 kwh
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What is the density of a piece of wood that weighs 62.0 grams and displaces 0.525 l of water?
The density of wood is 118.095 gram/liter.
We need to know about the density to solve this problem. Density is a unit that measures how dense an object is. Density can be measured by dividing mass by volume. It can be written as
ρ = m / V
where ρ is density, m is mass and V is volume
From the question above, we know that
m = 62 grams
V = 0.525 liter
By substituting the following parameters, we can calculate the density
ρ = m / V
ρ = 62 / 0.525
ρ = 118.095 gram/liter
Hence, the density of wood is 118.095 gram/liter.
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At t = 0s, a ball is launched straight upward with a velocity of 19.6 m/s. The ball
slows with constant acceleration until it stops at t = 2.00 s. The ball falls back to
the ground with the same acceleration until it hits the ground with velocity
-19.6 m/s at t = 4.00 s. What is the ball's total displacement after 2.00 s? What is
the ball's acceleration during its entire motion?
The ball's acceleration during its entire motion is -9.6 m/s^2
The ball's total displacement after 2.00 s is 0 m
From the statements, we have got 2 cases, first we have to find acc and then find the distance, we will kinematics equation to solve this
we have given,
u=19.6 m/s
v=0
t=2 second
a=v-u/t
a= -19.6/2
a= -9.6 m/s^2
the ball's acceleration is -9.6 m/s^2
now, we need to find the ball's total displacement after 2.00 s
s=u+gt^2÷2
s= -19.6+9.8×2
s= -19.6+19.6
s= 0 m
the ball's total displacement after 2.00 s is 0 m
Acceleration is the measure of how quickly a body's velocity varies with regard to time. It measures in m/s2.It is claimed that a body has continual positive acceleration when it begins to move with an initial velocity of zero and gradually increases to a positive value over time.To know more about intensity visit : https://brainly.com/question/3046924
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The total displacement of the ball in 2 seconds is o meter.
Displacement is defined as the change in position of an item. it's far a vector amount and has a course and magnitude. it's miles represented as an arrow that points from the beginning role to the final function. as an example- If an object moves from A role to B, then the object's position modifications.
Acceleration is the price of alternate of the rate of an object with admire to time. Accelerations are vector portions. The orientation of an item's acceleration is given via the orientation of the internet force performing on that object.
u=19.6 m/s
v=0
t=2 second
a=v-u/t
a= -19.6/2
a= -9.6 m/s²
The acceleration of the ball is -9.6 m/s²
To find the ball's total displacement after 2.00 s
s=u+gt²÷2
s= -19.6+9.8×2
s= -19.6 +19.6
s= 0 m
Hence, the total displacement of the ball after 2 s is 0 m.
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E
2. Evidence:
Complete the table using the acceleration portion of the PhET simulation. (4 points)
mass (kg)
Applied force (N)
50 kg
50 kg
50 kg
50 kg
150 N
200 N
250 N
300 N
Eart/Sum of Forces (N) acceleration (m/s²)
The acceleration of the following given forces and masses are Mass = 50 kg, Force = 150N, Acceleration = 3m/s², Mass = 50 kg, Force = 200N, Acceleration = 4m/s², Mass = 50 kg, Force = 250N, Acceleration = 5m/s², Mass = 50 kg, Force = 300N, Acceleration = 6m/s².
What is Newton's second law of Motion?According to Newton's second law of motion, the rate of change of momentum is directly proportional to the force.
F = ma ----(1)
where,
m is the mass of the body
a is the acceleration by which body move
F is the force
From 1 equation,
a = F/ m
By substituting all the values, we get
For (1),
a = 150/ 50
a = 3m/s²
For (2),
a = 200/50
a = 4 m/s²
For (3),
a = 250/50
a = 5m/s²
For (4),
a = 300/50
a = 6 m/s²
Thus, we concluded that the acceleration of the following given forces and masses are
Mass = 50 kg, Force = 150N, Acceleration = 3m/s²
Mass = 50 kg, Force = 200N, Acceleration = 4m/s²
Mass = 50 kg, Force = 250N, Acceleration = 5m/s²
Mass = 50 kg, Force = 300N, Acceleration = 6m/s²
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What’s a transverse? (Definition)
Answer: acting, lying, or being across : set crosswise. 2 : made at right angles to the long axis of the body a transverse section.
Explanation:
What is happening to the radiation intensity as the wavelength of the light increases?
Increase in wavelength of light leads to decrease in the radiation energy.
Radiation energy is inversely proportional to the wavelength of light. Thus, an increase in the wavelength of light will decrease the radiation energy and a decrease in the wavelength of light will increase the radiation energy.
Radiation energy is calculated by the formula:
E = hυ
where,
E is the radiation energy
h is the Planck’s constant
υ is the frequency
But,
υ = c / λ
where,
c is the speed light travels at in vacuum
λ is the wavelength of light
Therefore,
E = hc/λ
And thus, radiation energy and wavelength of light are inversely proportional.
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how was energy transferred from the heat source to the food coloring why does convection occur and fluid and not solid
Answer:
1what is the first who derived car
If the amplitude of the elctic field in a plane electromagnetic wave is 100 v/m then the amplitude of the magnetic feild is:_________
The amplitude of the electric field in a plane electromagnetic wave is 100 v/m then the amplitude of the magnetic field is 3.34×[tex]10^{-7}[/tex].
What is an Electromagnetic wave?Electromagnetic waves, or EM waves, are produced by the oscillations of an electric field and a magnetic field. In other words, electromagnetic (EM) waves are created when magnetic and electric fields oscillate.
Electromagnetic waves are produced when an electric field and a magnetic field interact. They are referred to as "electromagnetic" waves as a result. The electric field and magnetic field of an electromagnetic wave are perpendicular to one another (at right angles). They are also parallel to the direction of the EM wave.
According to the question,
Electric Field, E₀= 100 v/m and,
B₀/E₀=1/c
The amplitude of the magnetic field will be :
B₀=E₀/c
=100/(3×[tex]10^{8}[/tex])
B₀=3.34×[tex]10^{-7}[/tex]
Hence, the amplitude of the magnetic field is 3.34×[tex]10^{-7}[/tex].
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Two vectors of the same magnitude are added; one pointing east, one west. the magnitude of the resultant vector is:_________
The net force is zero due to the direction.
We need to know about force resultant to solve this problem. The force resultant is the total net force applied to the object according to the direction. It can be written as
R = F1 + F2 + ... + Fn
where R is force resultant (net force)
From the question above, we know that
F1 = F2 = F N
Because the direction is the same, the force will be minus each other.
R = F1 - F2
R = F - F
R = 0 N
Hence, the net force is 0 N
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If you wear contact lenses in the school laboratory,
Answer: Ask the rest of the question.
Explanation:
Will the magnet on the left start to rotate? if so, will it initially rotate clockwise or counterclockwise?
The answer is correct, the magnet will start rotating and the magnet on the left side will start rotating in a clockwise direction.
What is a Magnet?Something that can produce magnetic fields, pull similar poles apart, and attract opposing poles.
Basic characteristics of magnets include:
We may observe that when a magnet is covered in iron filings, the strongest attraction causes the filings to attach to the end of the magnet. The magnets' poles are referred to as these points. While unlike poles attract one another, like poles repel. Magnet poles are always found in pairs. If a magnet is suspended freely, it will always point north and south. The pole in space that points north is known as the North Pole, and the pole in space that points south is known as the South Pole. The magnetic force between two magnets increases as the distance between them decreases.If two magnets are permitted to approach one another, their opposite poles will attract. If they are also given free rotation, their opposite poles will eventually come close to one another. The north poles of two magnets repel one another, and vice versa for the south poles.
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What is the fundamental frequency of a 0.672-m-long tube, open at both ends, on a day when the speed of sound is 344 m/s?
The fundamental frequency of a 0.672-m-long tube, open at both ends, on a day when the speed of sound is 344 m/s is 256 Hz.
How to calculate the fundamental frequency?The fundamental frequency is the lowest frequency that any given instrument can produce. The instrument's first harmonic is another name for the fundamental frequency.
Given,
Length of the tube = 0.672-m
Speed of sound = 344 m/s
Tube open at both the ends
Solution:
Since the tube is open at both ends,
[tex]f_{n}[/tex] = n ([tex]V_{w/2L}[/tex])
n = 1, 2, 3, 4,...
[tex]f_{1}[/tex] = 1(344/2*0.672)
= 256 Hz
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Suppose that we roll a fair die until a 6 comes up.
a) what is the probability that we roll the die n times?
b) what is the expected number of times we roll the die?
(a) The probability that we roll the die n times is (5/6) n−1 = (1/6)
(b) The expected number of times we roll the die is 6
We would have to roll (n – 1) numbers that are not 6 followed by a 6. In other words, other five numbers are expected to be rolled each, and since there are five other numbers aside 6, so the probability is
(5/6) n−1 = (1/6)
The expected number of dies to be rolled is given by the relation:
E(N) = ∑_(n=1)^∞▒n
= (5/6) n−1* (1/6)
= (1/6) (1/(1-(5/6)))2
= 6
This is the correct answer since after 6 rolls we would expect to have rolled exactly one 6 while other numbers appear once per time.
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A five-fold increase in the mass of a gas would result in a five-fold _______ in pressure.
Answer:
If the gas is ideal while volume and temperature stay unchanged, there would be a five-fold increase in the pressure of this gas.
Explanation:
Let [tex]V[/tex] denote the volume of this gas, let [tex]P[/tex] denote the pressure of the gas, let [tex]n[/tex] denote the number of particles in this gas, let [tex]T[/tex] denote the temperature of this gas, and let [tex]R[/tex] denote the ideal gas constant.
If this gas is an ideal gas, it would satisfy the ideal gas law:
[tex]P\, V = n\, R\, T[/tex].
Assuming that this gas is uniform. The mass of this gas will be directly proportional to the number of particles [tex]n[/tex] in this gas. Hence, a five-fold increase in the mass of this will increase the number of particles in this gas by five folds.
Rearrange this equation to separate pressure [tex]P[/tex] from the number of particles in this gas [tex]n[/tex]:
[tex]\begin{aligned} P &= \left(\frac{R\, T}{V}\right) \, n\end{aligned}[/tex].
In other words, if the temperature and volume of this gas stays the same, the pressure [tex]P[/tex] of this gas will be proportional to the number of particles [tex]n[/tex] in this gas. Thus, the five-fold increase in the number of particles (from a five-fold increase in mass) will increase the pressure of this gas by five folds.
Calculate the speed of raindrops hitting your face when thy fall vertically at 3m/s while you’re running horizontally at 4 m/s
The speed of raindrops hitting your face when thy fall vertically at 3m/s while you’re running horizontally at 4 m/s is 5 m/sec.
What is the calculation of the given problem?Consider one drop of rain falling vertically. The velocity of the rain and the velocity of the man both are taken as vectors.
The result of the above statement is the vector is sum.
Let us consider two vectors : a and b.
Then a and b are added.
The magnitude of the sum is the root of the sum of squares of the individual vectors.
We know that
a = 3
b = 4
On substituting the given values in the above equation, we get as
Underroot of 3^2 + 4^2 we get 25.
Therefore the square root of 25 is 5
Therefore, it hit fast your face is 5 m/s.
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If 4.71 l of nitrogen gas and 24.96 l of hydrogen gas were allowed to react, how many liters of ammonia gas could form? assume all gases are at the same temperature and pressure.
If 4.71 l of nitrogen gas and 24.96 l of hydrogen gas were allowed to react, in total 16.616 L of ammonia could form.
Volume of AmmoniaThe balanced reaction for this would be:
N2(g) + 3H2(g) → 2NH3(g)
assuming STP:
∴ V N2(g) = 4.71 L
∴ V H2(g) = 24.96 L
The ideal gas equation is stated as:
PV = RTn
∴ moles N2(g) = PV/RT
⇒ mol N2(g) = (1 atm) (4.71L)/ (0.082 atm.L/K.mol)(298 K)
⇒ mol N2(g) = 0.007 mol
∴ moles H2(g) = PV/RT
⇒ mol H2(g) = (1) (24.96) / (0.082) (298) = 1.021 mol (limit reagent)
∴ moles NH3(g) = (1.021 moles H2(g)) (2 moles NH3 / 3 mol H2) = 0.680 mol
∴ V NH3(g) = RTn/P
⇒ V NH3(g) = ((0.082 atm.L/K.mol)(298 K) (0.680 mol))/(1 atm)
⇒ V NH3(g) = 16.616 L
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The input voltage to a transformer is 120v dc to the primary coil of 1000 turns. what are the number of turns in the secondary needed to produce an output voltage of 10v dc?
The transformer secondary turns should be 83 turns.
We need to know about the transformer to solve this problem. Transformer is a device that can increase or reduce the voltage. The changed voltage depends on the current and number of coil turns. It can be written as
Vi / Vs = Ni / Ns = Is / Ii
where Vi is input voltage, Vs is output voltage, Ni is primary turn, Ns is secondary turn, Is i output current and Ii is input current.
From the question above, we know that
Vi = 120 V
Ni = 1000 turns
Vs = 10V
By substituting the following parameters, we can calculate the secondary turns
Vi / Vs = Ni / Ns
120 / 10 = 1000 / Ns
Ns = 1000 / 12
Ns = 83 turns
Hence, the transformer secondary turns should be 83 turns.
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What is the density of a liquid (in g/ml) if 1.00 gallon weighs 10.47 lb ? (1 gal = 4 qt)
The liquid density is 1.25 g/ml.
We need to know about the density to solve this problem. Density is a unit that measures how dense an object is. Density can be measured by dividing mass by volume. It can be written as
ρ = m / V
where ρ is density, m is mass and V is volume
From the question above, we know that
m = 10.47 lb
V = 1 gal
Convert mass to grams
m = 10.47 lb
m = 10.47 x 453.592 grams
m = 4749.11 grams
Convert volume to milliliters
V = 1 gal
V = 1 x 3785.41 ml
V = 3785.41 ml
By substituting mass and volume, we can determine the density
ρ = m / V
ρ = 4749.11 / 3785.41
ρ = 1.25 g/ml
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Which statement describes the best reason for having a strong hypothesis?
According to the given statement these option are apply for strong hypothesis:
B-A good hypothesis results in a test with quantifiable outcomes.
C-A good hypothesis leads to a test with measurable results.
E-A good hypothesis provides a possible explanation to answer a scientific question.
What is a hypothesis example?A few examples of simple hypotheses: "Students who eat breakfast will perform better on a math exam than students who do not eat breakfast." Complex hypothesis: "Students who experience test anxiety before an English exam will get lower scores than students who do not experience test anxiety."
What three categories of hypothesis are there?Simple hypothesis is one example of a hypothesis. complex hypothesis direction-hypothesis
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Which statement describes the best reason for having a strong hypothesis ? Check all that apply.
A-A good hypothesis is based on one's personal opinion.
B-A good hypothesis can be tested.
C-A good hypothesis results in a test with quantifiable outcomes.
D-A good hypothesis does not always have to be based on prior knowledge or research.
E-A good hypothesis provides a possible explanation to answer a scientific question.
A north american tourist takes his 40.0 w, 120 v ac razor to europeand plugs it into 240 v ac. assuming constant resistance, what power does the razorconsume as it is ruined?
The power does the razor consume as it is ruined 160 watt.
From joules law of heating, current flows through a resistor, converts a part of electric energy into heat energy.
The rate at which the power dissipated through a resistor is,
[tex]P = V^2/R[/tex]
Here,V is the applied voltage or voltage from source Ris the resistance of the resistor, Resistance of the device Ac razor)is,
[tex]R = V^2/P[/tex]
[tex]= (120)^2/ 40[/tex]
= 14400/40
= 360 ohm
NOW, the input voltage is change to V1, new power consumed by the razor is
[tex]P_1 = V_1^2/R[/tex]
[tex]= (240)^2/360[/tex]
= 57,600/360
=160 watt
Joule's law is the e rate at which heat is produced in a conductor is directly proportional to the square f the current provided is resistance is constant.
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A 121 v electric iron draws 6.65 a of current. how much heat is developed per hour? answer in units of j.
The heat developed per hour is 2896740 J/h.
The electric potential of the electric iron is V.
V = 121 v
The current drawn by the electric rod is I.
I = 6.65 A
The heat developed is,
Power = Electric potential × Current
P = V × I
= 121 × 6.65
= 804.65 watts
Heat developed developer in watts is 804.65 watts.
The heat developed in joules per second is,
= 804.65 J/s
The heat developed in joules per second is 804.65 Joules per second.
The heat developed per hour is,
[tex] = \frac{804.65}{ \frac{1}{3600}hour } [/tex]
= 2896740 J/h
Therefore, the heat developed per hour is 2896740 joules per hour.
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when using parallax distance is calculated from the sun and not earth do you think this matters? explain your answer.
When using parallax, astronomers calculate distance from the sun and not earth to improve on the accuracy of their measurement, since parallax angle decreases as star distance increases.
What is parallax distance?
Parallax enables astronomers to measure the distances of far away stars by using trigonometry.
Why does astronomers measure parallax distance from sun?As the distance of star increases, the parallax angle decreases, and great degree of accuracy is required for its measurement.
So taking a refence from the earth instead of the sun will impact the accuracy of their measurement.
Thus, when using parallax, astronomers calculate distance from the sun and not earth to improve on the accuracy of their measurement, since parallax angle decreases as star distance increases.
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Suppose a popular fm radio station broadcasts radio waves with a frequency of 88. mhz. calculate the wavelength of these radio waves. round your answer to 2 significant digits.
The wavelength is 1.87 m of these radio waves round your answer to 2 significant digits.
Radio waves are part of the electromagnetic spectrum, any radiation of that electromagnetic spectrum has a speed of 3.00x10⁸ m/s in vacuum.
Consequently, the following equation can be used to determine the wavelength:
c = λ.ν --------- (1)
Where c is the speed of light, λ is the wavelength and is the frequency.
Then, λ can be isolated from equation 1
λ = c / ν --------- (2)
Keep in mind that Hz units must be used to express frequency.
ν = 160 MHz x (1000000Hz/1 MHz)
= 160000000 Hz
λ = 3 x 10⁸ m/s / 160000000 Hz
But 1 Hz = s⁻¹
λ = 3 x 10⁸ m/s / 160000000 s⁻¹
λ = 1.87 m
Hence, the wavelength is 1.87 m
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A 700 kg car is driving with an acceleration of 5 m/s² down the interstate.
What is the force required to accelerate the car?
O 3,500 N
O 650 N
O 14 N
O 0.071 N
(with the guess method) PLEASE SOMEONE HELP-
velocity changes from 2m/s to 12m/s time taken is 5 seconds
Answer: Acceleration is 2m/s^2
Explanation:
The slope of a velocity graph is the acceleration
Acceleration = (Final Velocity - Initial Velocity) / Total Time
A = (12 - 2) / 5
A = 10/5
A = 2
Therefore the acceleration is 2m/s^2
_____________ is a measure of the brand's ability to capture consumer preference and loyalty.
Brand equity is a measure of the brand's ability to capture consumer preference and loyalty.
When compared to a generic equivalent, brand equity is the value premium that a firm raises from a product with a successful brand. Companies can build brand equity for their merchandise by making them easily recognizable, memorable, and superior in terms of quality and dependability.
Customers graciously pay a premium for a company's products when it has good brand equity, even if they could purchase the exact thing from a rival for less. Customers effectively pay a high price to do business with a company they know and respect. Because the business with brand equity does not encounter a higher cost than its competitors to create and distribute the product, the price difference goes to their margin.
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Rocket in space moving at 30 km/s experiences no forces. how fast is the rocket moving after 60 seconds?
The rocket is still moving at 30 Km/s after 60 seconds
What is speed?Speed is the distance travelled per unit. Mathematically, it can be expressed as:
Speed = distance / time
How to determine the speed after 60 secondsThe follwing data were obtained from the question:
Initial speed = 30 Km/sForce = 0 NSpeed after 60 seconds =?From the data given, we were told that the rocket experience no forces.
This simply implies that the rocket was still moving at the said speed (i.e 30 Km/s)
Thus, we can conclude that the speed of the rocket after 60 seconds is 30 Km/s since it experience no forces.
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