According to electromagnetic waves, the wavelength of light is 410.96 nm.
We need to know about electromagnetic waves to solve this problem. Electromagnetic waves can propagate without media. The speed of electromagnetic in vacuum media is equal to the speed of light. Hence, the wavelength and frequency can be determined as
c = λ . f
where c is the speed of light (3 x 10⁸ m/s), λ is wavelength and f is frequency.
From the question above, we know that
f = 7.3 x 10¹⁴ Hz
By substituting the given parameter, we can calculate the frequency of microwaves
c = λ . f
λ = c / f
λ = 3 x 10⁸ / 7.3 x 10¹⁴
λ = 4.1096 x 10¯⁷ m
λ = 410.96 x 10¯⁹ m
λ = 410.96 nm
Hence, the wavelength of the light is 410.96 nm.
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Explain what dawkins says selection is acting on in chapter 2 and how that variation is distributed throughout a population (gene pool) (blending vs. independent assortment
Dawkins says selection acts on the variations in the populations which are responsible for increasing or decreasing the fitness of the individuals carrying them.
Variation is distributed population following Mendelian genetics. Like the law of independent assortment where variations are transferred independently of each other. When blending inheritance was discarded where traits were thought to be average of that of parents of progeny , which was not the case in many cases.
One example of unconscious selection is the loss of various traits like loss of natural dispersal mechanisms, even and rapid seed germination, larger propagules, simultaneous ripening, and loss of mechanical protection as well as changes in the breeding system. This loss or selection on these traits while selecting for other traits like more yield and water efficiency , resistance to diseases etc. This unconscious selection associated with other selection by humans is unconscious.
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Which statements correctly describe the effect of distance in determining the gravitational force and the electricall
force? Check all that apply
The gravitational force has an infinite reach
The electrical force has an infinite reach
The gravitational force is inversely proportional to the distance.
The electrical force is inversely proportional to the distance.
The gravitational force is inversely proportional to the square of the distance.
The electrical
force is inversely proportional to the square of the distance.
O
O
Save and Exit
The square of the distance has an adverse relationship with the electrical force.
The square of the distance has an adverse relationship with the gravitational force.
Electrical force vs gravitational force :The fundamental distinction between electrostatic and gravitational forces is that gravitational force is the force that draws objects to the earth based on mass. This force is conservative. While an object's electrostatic force is its force as a result of charge. Moreover, it is a conservative force.
How would you define an electrical force?Electric force is the attractive or repulsive interaction between any two charged bodies. Similar to any force, Newton's laws of motion describe how it affects the target body and how it does so.
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with what minimal horizontal velocity must the cliff divers leave the top of the cliff is they are to miss the rock?
14.8m/s is minimal horizontal velocity must the cliff divers leave the top of the cliff is they are to miss the rock.
Ledge divers in Acapulco leap into the water from a 36-meter-high cliff. A rock protrudes 10.4 meters horizontally from the water, level. 9.8 m/s2 is the acceleration of gravity. If the cliff divers are to miss the rock, they must depart from the top of the cliff with a minimal horizontal velocity.
from above statements, we assume that
there is no initial vertical velocity, then we calculate the time it takes to reach the water, then divide the horizontal distance by that time to get the minimum required horizontal speed.
h=gt^2/2
h= 36 m
t = [tex]\sqrt{2h/g}[/tex]
put h = 36 m g = 9.8 m/s^2
t=2.7 second
Then the minimum required horizontal velocity is
v = d/t
by putting value
v= 10.4 m/2.7 s
v=14.8m/s
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how much force is required to accelarate 2kg mas at 3m/s 2
Answer:
6 Newton.
Explanation:
Force (F) = Mass (M) x Acceleration (A).
Force = 2kg x 3 m/s^2
F = 6kg m/s^2 = 6 Newton. = 6N
Therefore, Force required to accelerate the body is 6N
if a bicyclist, with an initial speed of zero, steadily gained speed until reaching a final speed of 26m/s, how far would she travel during this race?
A basketball player, standing near the basket to grab a rebound, jumps 74.8 cm vertically. how much time does the player spend in the top 13.7 cm of his jump?
By using uniform motion, in 0.04 second the player will spend in the top 13.7cm .
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
hmax = 74.8 cm = 0.748 m
h = 13.7 cm = 0.137 m
g = 9.8 m/s²
Find the initial speed by using hmax (vt = 0 m/s)
vt² = vo² + 2a . s
0² = vo² - 2g . hmax
2 . 9.8 . 0.748 = vo²
vo² = 14.6608
vo = 3.83 m/s
Find the vt when h is 13.7 cm
vt² = vo² + 2a . s
vt² = 3.83² - 2g . h
vt² = 3.83² - 2. 9.8 . 0.137
vt² = 11.98
vt = 3.46 m/s
Find the time taken
vt = vo + a . t
3.46 = 3.83 - g . t
9.8t = 0.37
t = 0.04 second
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A ball rolls from x = 10 m to
x = -25 m in 2.5 seconds. What was
its average velocity?
(Units = m/s)
The average velocity of the ball is - 14 m / s if it rolls from x = 10 to x = - 25 in 2.5 seconds.
We know that,
v = Δd / t
where,
v = Average velocity
Δd = Displacement
t = Time taken
Given that,
t = 2.5 sec
Δd = - 25 - 10
Δd = - 35 m
v = - 35 / 2.5
v = - 14 m / s
Average velocity is the average value of velocity from the starting point to ending point in a given amount of time.
Therefore, the average velocity of the ball is - 14 m / s
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The acceleration due to gravity on planet X is
one-fifth that on the surface of the earth.
If it takes 3.8 s for an object to fall a certain
distance from rest on earth, how long would
it take to fall the same distance on planet X?
Answer in units of s
The time taken for the object to fall the same distance in planet X is determined as 8.5 seconds.
Time of motion of the object planet X
The time taken for the object to fall the same distance on planet X is calculated as follows;
t = √2h/g
where;
h is height of fallg is acceleration due to gravityt is time of motiont² = 2h/g
gt² = 2h
g₁t₁² = g₂t₂²
t₂² = g₁t₁²/g₂
t₂² = (g₁ x 3.8²) / (0.2g₁)
not e one-fifth = 1/5 = 0.2
t₂² = 72.2
t₂ = √72.2
t₂ = 8.5 seconds
Thus, time taken for the object to fall the same distance in planet X is determined as 8.5 seconds.
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A projectile is launched from ground level at an angle of 15 degrees above the horizontal. It lands a distance of 20 meters from the launcher. Which of the following launch angles would result in the same range if the launch speed is kept the same?
A. 60 degrees
B. 30 degrees
C. 75 degrees
D. 85 degrees
C. The launch angle that would result in the same range if the launch speed is kept the same is 75⁰.
Angle of projection
The angle of projection is calculated as follows;
R = u²sin(2θ) / g
where;
θ is the angle of projectionθ = 15⁰
sin 2θ = sin 2(15) = sin (30) = 0.5
Equivalent angle of projectionθ = 90⁰ - 15⁰ = 75⁰
sin(2θ) = sin (2 x 75⁰) = sin (150⁰) = 0.5
Thus, the launch angle that would result in the same range if the launch speed is kept the same is 75⁰.
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What is the electric potential 52.92 pm from a proton (the average distance between the proton and electron in a hydrogen atom)?
The electric potential from proton 52.92 pm from a proton is 27.21 V that is the average distance between the proton and electron.
DescriptionWhat does “electric potential” mean?Electric potential is the effort required to transport a unit charge from one point to another in the presence of an electric field.
Earth is typically chosen as the reference point, but any location outside the range of the electric field charge can be used.
What does class 10’s electric potential entail?The work required to accelerate a unit positive charge from infinity to a specific point in an electric field is known as the electric potential (or potential) at that location.
What kind of electric potential is that?Electric potential is the amount of labor or energy that an electric charge can produce. A 1.5 V battery, for instance, has an electric potential of 1.5 volts.
CalculationDistance from proton,
r= 52.92pm
= 52.92 x 10^(-12)
Charge on a proton
q = 1.6 x 10^(-19) C
Therefore, electric potential at distance r from a proton is
Vp = Kq/r
=Vp = (9x 10^3 x 1.6 x 10^(-19)) / 52.92 x 10^(-12) volts
Vp = 27.21 V
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Given a long text string t and one shorter pattern string s, find the first occurrence of s in t (if any). what is the complexity of your algorithm?
The complexity of your algorithm is O(nm).
Algorithmic complexity is a measure of how long an algorithm would take to complete given an input of size n. If an algorithm has to scale, it should compute the result within a finite and practical time bound even for large values of n. For this reason, complexity is calculated asymptotically as n approaches infinity.
Now,
Text: T
Pattern: s
Algorithm String Matching(T,s)
n=len(T)
m=len(s)
for i = 0 to n-m
j=0
while j<m and s[j]=T[ i + j]
j=j+1
if j==m
return i
end if
end while
return -1
end for
the complexity of your algorithm: O(nm)
reason: nested loop runs one run (n-m) times and second run m times. so it becomes (n-m)(m) = (nm-m2) = O(nm)
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Which term best describes a copper wire?
O a conductor
O a circuit
O a magnet
O an insulator
Differentiate uniform motion and non-uniform motion with examples
Explanation:
interesting let's see it is very confusing
Answer:
See below
Explanation:
Motion as the change of position of an object with respect to time.
Uniform motion covers equal distance at an equal time interval. The velocity is constant. For example, a car traveling at 55 mph constant speed for 2 hours has uniform motion
Non-uniform motion covers unequal distance at equal time intervals. For example, in heavy traffic, a car may travel at 20mph for the first 10 minutes, then 10mph for the next 10 minutes etc. Thus velocity changes over equal time periods
A ball rolling down a hill for 9 seconds accelerates from 3 m/s to 34.5 m/s
Acceleration of a ball rolling down hill, a = 3.5 m/s².
Equation :Given in details,
Initial velocity of ball,
u = 3 m/s
Final velocity of ball,
v = 34.5 m/s
Time taken for changing velocity,
t = 9 s
To find acceleration of ball,
a =?
Using formula,
First equation of motion
v = u + a t
where,
v is final velocity,
u is initial velocity,
t is time taken
a is acceleration
Using this first equation of motion,
v = u + a t
34.5 = 3 + a × 9
34.5 - 3 = 9 a
31.5 = 9 a
a = 31.5 / 9
a = 3.5 m/s²
What is motion first law?Newton's first law: the law of inertia
According to Newton's first law, if a body is at rest or moving in a straight line at a constant speed, it will continue to move at that speed or remain at rest until acted upon by a force.
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Every particle of matter in the universe attracts every other particle with a force that is directly proportional to the product of the masses of the particles and inversely proportional to the square of the distance between them. True or false?.
The Law of Universal Gravitation, states that every particle attracts every other particle in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
Newton's law of gravitation, states that any particle of matter in the universe draws another with pressure varying at once as the manufactured from the loads and inversely as the rectangular.
Newton, the pressure of gravity appearing between the earth and another item is at once proportional to the mass of the earth, directly proportional to the mass of the item, and inversely proportional to the square of the distance that separates the centers of the earth and the item. Gravitational steady, G is unbiased of the nature of the particle, medium among the debris, and time. Its cost is constant anywhere within the Universe.
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If a space probe is sent into an orbit around the sun that brings it as close as 0.3 au and as far away as 5.4 au, is the orbit a circle or an ellipse?
The orbit is an ellipse for the space probe that is sent into the orbit around the sun that brings it as close as 0.3 au and as far away as 5.4 au.
DescriptionKepler’s 3rd law
According to Kepler’s Third Law, the cubes of the semi-major axes of the orbits of the planets are directly proportional to the squares of the planets’ orbital periods. As an orbiting planet’s radius increases, so does the time of its orbit around the Sun.
What is the Kepler’s law equation?T = 2πr3GME Remember that the semi-major axis of an ellipse is equal to the product of the perihelion and the aphelion divided by two. The semi-major axis (a) for a circular orbit is equal to the orbital radius.
What is the formula for Kepler’s third law?P2 = a3, which means that the period of an orbit (P) squared is equal to Kepler’s Third Law.
CalculationAs per Kepler's law and his explanation of eccentricity,
Eccentricity = Distance to the focus/ Distance to the directrix.
According to Kepler, an elliptical orbit is a Kepler orbit with an eccentricity of less than 1 and for a circular orbit, it is exactly 0 eccentricity.
So here Eccentricity = 0.3/5.4
= 0.055
So according to this, the space probe is moving in an ellipse orbit.
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I'm stuck. don't know how to solve this
Since motion under gravity only act on the vertical component of the velocity, the answer for both vertical and horizontal variables are;
a.) 9.8 m/s², 0
b.) 0, 18 m/s
c.) 21.2 m/s, 0
d.) 23 m, 39 m
e.) 2.2 s
Motion Under GravityMotion of any object under gravity is the vertical motion of the object under the influence of acceleration due to gravity.
From the question, the following parameters are given.
Height h = 23 mInitial velocity u = 18 m/sa.) The vertical acceleration will be equal to acceleration due to gravity which is equal to 9.8 m/s². While the horizontal acceleration will be equal to zero.
b.) The vertical initial velocity is zero. Vertically, it will be assumed that the stone is dropped. While the given initial velocity is the horizontal initial velocity which is 18 m/s
c.) The vertical final velocity V can be calculated by using the formula
V² = U² + 2gH
V² = 0 + 2 × 9.8 × 23
V² = 450.8
V = √450.8
V = 21.23 m/s
Motion under gravity only act on the vertical component of the velocity. so, horizontal final velocity is equal to zero.
d.) Vertical distance = 23 m
While the horizontal distance = Range = ut
e.) Both the vertical and horizontal time will be the same. We can calculate the time by using the formula
h = ut + 1/2gt²
Vertically, u = 0
23 = 0 + 1/2 × 9.8 × t²
23 = 4.9t²
t² = 23/4.9
t² = 4.694
t = √4.69
t = 2.166 s
t = 2.2 s
so, the range = 18 × 2.166 = 38.997 m
Therefore, the time taken is 2.2 and the range is approximately 39 m.
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The electric field 1.8 cm from a small object points toward the object with a strength of 180,000 n/c. what is the object's charge?
Charge,Q = 6.48 × [tex]10^-^9[/tex] C
How is the object's charge calculated?It is given that,
Electric field strength, E = 180000 N/C
Distance from a small object, r = 1.8 cm = 0.018 m
Electric field at a point is given by :
[tex]E=\frac{KQ}{r^2}[/tex]
Q is the charge on an object
[tex]Q=\frac{Er^2}{k}[/tex]
Q = [180000 × [tex](0.018)^2[/tex]] ÷ 9 × [tex]10^9[/tex]
Q = 6.48 × [tex]10^-^9[/tex] C
So, the charge on the object is Q = 6.48 × [tex]10^-^9[/tex] C . Hence, this is the required solution.
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A ball is given a brief push and then is allowed to roll up a ramp. It travels 53.1 cm up the ramp before stopping and rolling back down. It takes a total of 1.34 s to roll up and back down to its initial position. What is the magnitude of the acceleration of the ball while it is on the ramp?
The magnitude of the acceleration of the ball while it is on the ramp is 2.4 m/s² approximately
What is Acceleration ?Acceleration is the rate at which velocity changes. It is a vector quantity.
Given that a ball is given a brief push and then is allowed to roll up a ramp. It travels 53.1 cm up the ramp before stopping and rolling back down. It takes a total of 1.34 s to roll up and back down to its initial position.
Let us take the account of rolling down.
Distance s = 53.1 cm = 0.531 mTime t = 1.34/2 = 0.67 sinitial velocity u = 0The magnitude of the acceleration of the ball while it is on the ramp can be calculated by using the below formula
s = ut + 1/2at²
Substitute all the parameters into the formula
0.531 = 0 + 1/2 × a × 0.67²
0.531 = 0.22445a
a = 0.531/0.22445
a = 2.365 m/s²
Therefore, the magnitude of the acceleration of the ball while it is on the ramp is 2.4 m/s² approximately
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A 3.5-kg plastic tank that has a volume of 0.2 m3 is filled with liquid water. assuming the density of water is 1000 kg/m3, determine the weight of the combined system.
The weight of the combined system = 1,996.3 N
How is the weight of the combined system calculated?
Given,
Mass of the Plastic tank = 3.5 kg
Volume of the liquid water in the tank = 0.2 m³
Density of water = 1000 kg/m³
Now,
We know
Density = Mass ÷ Volume
Thus,
Mass = Density × Volume
therefore,
Mass of the water in the tank = 1000 × 0.2
= 200 kg
Thus,
The mass of the combined system = 3.5 kg + 200 kg = 203.5 Kg
Also,
Weight in N = Mass × Acceleration due to gravity (g)
and,
g = 9.81 m/s²
Therefore,
The weight of the combined system = 203.5 kg × 9.81 m/s²
= 1,996.3 N
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What is the magnitude of an electric field that balances the weight of a plastic sphere of mass 7.4 g that has been charged to -3.0 nc?
It is a physical field occupied by a charged particle on another particle in its surrounding .The magnitude of electric field will be -0.0241 MN/C.
What is electric field?
A physical field called an electric field surrounds electrically charged particles and attracts or repels all other charged particles nearby. It can also refer to the physical field surrounding a system of charged particles. Electric charges and time-varying electric currents are the building blocks of electric fields. The electromagnetic field, one of the four fundamental interactions (also known as forces) of nature, manifests itself in both electric and magnetic fields.
The electric force in an electric field is given by the equation,
[tex]E = \frac{F}{Q}[/tex]
Since electric field is balanced by the weight of the plastic sphere, the electric force is equal to weight of the sphere.
[tex]F = mg[/tex]
So the equation becomes
[tex]E = \frac{mg}{Q}[/tex]
Putting the value from the question,
m = 0.0074 kg
Q = (-3.0) Nc
g (gravitational acceleration) = 9.8 m/s^2
So, we get
[tex]E = \frac{(9.8)(0.0074)}{(-3.0)}[/tex]
[tex]E = -0.0241 MN/C[/tex]
Hence, the electric field is -0.0241 MN/C.
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The input voltage to a transformer is 120v rms ac to the primary coil of 1000 turns. what are the number of turns in the secondary needed to produce an output voltage of 10v rms ac?
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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Find the c flag value after each of the following codes:
(a) ldi r20,0x54
(b) ldi r23,0
(c) loi r30,0xff loi r25,0xc4 loi r16,0xff loi r18,0x05 add r20,r25 add r23,r16 add r30,rl8
A boolean variable with the value "true" or "false" is what is referred to as a "flag" variable. You can either use an integer value with zero for "false" and semi for "true" or the boolean type with true or false.
CY is the carry flag's symbol. If a carry is produced during the procedure, it will be set to 1.
The procedure's outcome would be:
54 + C4 = 01010100 + 11000100
= 100011000
however because it cannot fit into the 8-bit destination register, the top bit is lost, and the actual result is 0x000110.
As a result, we can see that a carry is produced. CY will therefore equal 1.
The registers will be updated with the hexadecimal integers.
As a result, we can observe that no carry is produced. CY will therefore equal 0.
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A 7.8 kg outdoor copper sculpture heats up during the day from 28°C to 87°C. How much energy was absorbed? Note: Copper has a specific heat of
390 J/kg *C.
The energy absorbed outdoor copper sculpture heats up during the day q = 1.79 x 10⁵ J.
Equation :To find energy using formula,
q = mcΔT
where,
q is energy
m is mass
c is specific heat
ΔT is change in temperature
Given,
m = 7.8 kg
c = 390 J/kg
T₁ = 28°C
T₂ = 87°C
To find ΔT,
ΔT = T₂ - T₁
ΔT = 87° - 28°
ΔT = 59°C
Now, putting values,
q = mcΔT
q = 7.8 kg x 390 J/kg x 59
q = 1.79 x 10⁵ J
Is copper good for sculptures?The best materials for sculpture are copper and copper alloys for a variety of reasons. They offer countless artistic possibilities because they can be molded into any desired shape. Copper components can be mechanically joined or assembled by bolting or bonded by welding, enabling works of enormous size.
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What does dependent and independent variables mean in science?
Answer:
Independent variable is the variable that causes the changes in the experiment. Dependent variable is the variable that is affected by the changes.
Explanation:
The big o notation of the worst case scenario of pushing back an element into a queue implemented using a list is _______________
The big o notation of the worst-case scenario of pushing back an
element into a queue implemented using a list is Array or a Linked list.
What is an array?
A queue could be implemented as an array or a linked list with very different insertion, removal, and indexing characteristics.In computer science, an array is a data structure consisting of a collection of elements, each identified by at least one array index or key. An array is stored such that the position of each element can be computed from its index tuple by a mathematical formulaThe array in C has a fixed size, which means that once the size is specified, it cannot be changed; you cannot shrink or expand it. The rationale behind this was that, when expanding, we cannot always be certain that we will receive the subsequent memory location for free (it is not always possible). The array is memory statically allocated when it is declared, making it impossible to shrink because only the compiler has the power to do so.The first element of the array is indexed by the subscript 0, for zero-based indexing; by the subscript 1, for one-based indexing; and by the subscript n, for N-based indexing. An array's base index can be chosen at will. Negative index values are typically permitted in programming languages that support n-based indexing, and other scalar data types, such as enumerations or characters, may also be used as array indexes.
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At an international auto race, a race car leaves the pit after a refueling stop and accelerates uniformly to a speed of 75 m/s in 9 s to rejoin the race
The acceleration of the car after leaving the pit to reach a speed of 75 m / s in 9 s is 8.3 m / s²
a = v / t
a = Acceleration
v= Velocity
t = Time
v = 75 m / s
t = 9 s
a = 75 / 9
a = 8.3 m / s²
Acceleration is the rate of change of velocity with respect to time. It is denoted as a.
The given question is incomplete. The complete question is:
At an international auto race, a race car leaves the pit after a refueling stop and accelerates uniformly to a speed of 75 m/s in 9 s to rejoin the race. What is the race car's acceleration during this time?
Therefore, the acceleration of the car after leaving the pit is 8.3 m / s²
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Which of galileo’s astronomical observations were best explained by a heliocentric model?.
Galileo’s astronomical observations that were best explained by a heliocentric model is "The phases of Venus can only occur the way they do if Venus is orbiting the Sun".
What about the heliocentric model was accurate?
Instead of Earth, as was previously thought to be the case according to the geocentric model, the heliocentric concept puts the Sun at the core of the solar system. Our increased grasp of astronomy was built on this advancement, which brought us closer to the true nature of the solar system and the universe.
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A popular website is interested in conducting a survey of 400 visitors to the website in such a way that 200 of them will be under age 30, 150 will be:_________
aged 30-55, and 50 will be over 55.
150 will be: stratified sample.
The partitioning of a population into smaller subgroups known as strata is a key component of the sampling technique known as stratified random sampling. In stratified random sampling, also known as stratification, the strata are created based on the shared traits or features of the members, such as wealth or level of education. Numerous uses and advantages of stratified random sampling include examining life expectancy and population demography.
Proportional or quota random sampling are other names for stratified random sampling. Researchers can produce a sample population that most accurately represents the whole population under study using stratified random sampling. Sampling is the process of drawing conclusions about a population using a small sample.
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My cat can eat 125 grams of food each day. How many kilograms is this?
0.125 kg
Explanation:
