The value of the spring constant of the spring is found to be 14034N-m.
The spring that is suspended vertically has a weight 5.8kg attached to it. This weight lower down and stretches the spring to a distance 8.11cm.
Now, we know,
The work done by gravity on the mass = Work done by spring.
So, we can write,
Mgx = 1/2Kx²
Mg = 1/2Kx
Where,
M is the mass,
g is the gravitational acceleration,
K is the spring constant,
x is the distance by which the spring stretches.
5.8 x 9.8 = 0.5 x K x 0.0081
K = 14034 N-m.
So, the value of the spring constant is 14.034 N-m.
To know more about spring constant, visit,
https://brainly.com/question/22712638
#SPJ4
Six vectors (a through f ) have the magnitudes and directions indicated in the figure. (Figure 1)1.Rank the vector combinations on the basis of their magnitude.Rank from largest to smallest. To rank items as equivalent, overlap them.a+cf+cda+ba+ea+d
The vector size→a Along X -axis is 2 When Mets size along with j -axis is 0
So the vector → a will be → a = 2^Me+0^j.
vector size → b Along X -axis is 0
When t size along with j-axis is−2
When ts so the vector → b will be →b = 0^− 2 ^j.
A vector represents movement from one point to another. Vector quantities have both direction and magnitude. A scalar quantity has only one quantity. A vector can be represented by a line segment with an arrow think about the problem
The f-vector has the results of the other two vectors. According to the parallelogram law of vector addition.
Let f be the resultant force of d and e
that's why,
d+e=f
Read more about vector;
https://brainly.com/question/25705666
#SPJ4
FILL IN THE BLANK. the energy of a photon that has a frequency of 1.821 × 1016 s-1 is ________ j.
The energy of the photon is 1.21 *[tex]10^{-17} J[/tex]
Photons released during transition have an energy of
E = hv
E=(hc) / λ
where ,
h Planck's constant, which is equal to 6.626 x[tex]10^{-34}[/tex] J-s
v is frequency of photon
λ is wavelength of photon
Einstein's paradigm was built on the basis of two suppositions. He initially believed that light was made up of photons, which are tiny, discrete bundles of energy. Second, he predicated that the energy of a photon is inversely related to both its wavelength and its frequency.
substituting the values in above formula we get
E=( 6.626 x[tex]10^{-34}[/tex] J-s) *(1.821 × [tex]10^{16}[/tex] [tex]s^{-1}[/tex])
E= 1.21 *[tex]10^{-17} J[/tex]
To know more about Einstein's paradigm click below:
https://brainly.com/question/10809666#
#SPJ4
Suppose cartAhas a mass of 3m and is moving at speed v. Cart B has a mass of m and is at rest. CartA collides perfectly inelastically with cart B. What is their combined speed after the collision?
The combined speed after the inelastic collision is equal to 0.75 v.
What is inelastic Collision?An inelastic collision can be described as a type of collision that occurs between two objects in which some energy is lost. In the case of inelastic collision, momentum remains conserved but the kinetic energy will not be conserved.
Given, the mass of cart A, m₁ = 3 m
The mass of the cart B, m₂= m
The initial speed of cart A, u₁ = v
The initial speed of cart B, u₂ = 0
After the inelastic collision the momentum will remain conserved:
m₁.u₁ + m₂u₂ = m₁.v₁ + m₂ v₂
3m × v + m ×0 = (3m + m)× V
V = 3mv/4m
V = 0.75 v
Learn more about inelastic collision, here:
https://brainly.com/question/14521843
#SPJ1
A canon fires a canon ball of mass m1= 12kg at a constant velocity v=20m/s. At the same time, canon ball 2 of mass m2=24kg is dropped from an equal height. The fired ball lands after time t1, while the dropped ball lands after time t2. Ignoring air resistance, determine the relationship between t1 and t2
The relationship between time of flight t₁ and t₂ is t₂² = 20t₁ + 4.9t₁² = t₂²
What is the time it takes for the two cannon balls to land?The time it takes for the two cannon balls to land or the time of flight is determined using the equation below:
h = ut + ¹/₂gt²
where;
h is heightu is the initial velocityt is the time of flightg is the acceleration due to gravityFor ball 1:
h = 20t₁ + ¹/₂ * 9.8 * t₁²
For ball 2:
h = 0 * (t₂) + ¹/₂* 9.8 * t₂²
Equating the two values of h:
20t₁ + ¹/₂ * 9.8 * t₁² = 0 * (t₂) + ¹/₂ * 9.8 * t₂²
20t₁ + 4.9t₁² = t₂²
Learn more about the time of flight at: https://brainly.com/question/27717141
#SPJ1
the displacement of a turn coordinator during a coordinated turn will a. indicate the angle of bank. b. remain constant for a given bank regardless of airspeed. c. increase as angle of bank increases.
As the angle of bank rises, a turn coordinator's displacement during a coordinated turn will also rise.
Turn coordinators show information about the speed and quality of the turn as well as the coordination of the turn. Turn and slip indicators solely display turn rate. The turn and bank indication was created. The relative strength of gravity and the inertia brought on by a turn are measured by this ball. The ball will move to the left while the toy airplane makes a turn to the right. What directly displays on the turn coordinator's small aircraft? both the roll and turn rates. A little airplane symbol that rolls (rotates) right or left depending on the bank angle and the rate of turn is used to indicate the turn coordinator's rate of turn.
To learn more about displacement click here https://brainly.com/question/11934397
#SPJ4
calculate the number of elastic collisions needed to reduce the energy of a 1 mev neutron to 0.2 mev through collisions between the neutron and carbon nuclei
The number of collisions is 26. An elastic collision is one in which the system does not experience a net loss of kinetic energy as a result of the collision.
Two objects collide in an elastic collision when no kinetic energy is wasted. The kinetic energy and momentum of the objects are conserved when they bounce back from one another. We are dealing with an elastic collision because inelastic collisions are thought to happen when the two items stay together after the collision.
Initial energy equals E o
=2MeV=2×10 6 \s eV
After the initial collision, E 1 = 2 E o
After a second collision, E 2 equals 2 E 1.
\s = \s2 \s2
E \so \s
When there is a third collision, E 3 equals 2 E 2.
\s = \s2 \s3
E \so \s
And so
Following n collisions, E n = 2 n
E \so \s
final energy = 0.04 eV
Consequently, E n = 0.04
⟹ \s2 \sn
2×10 \s6
\s =0.04
⟹2 \sn \s = \s0.04 \s2×10 \s6
\s =5×10 \s7
n=log 2 (510 7 )=log 10 2 log 10 (510 7 )
⟹n= \s0.301 \s7+0.699
⟹n=26
Learn more about collision here-
https://brainly.com/question/28986861
#SPJ4
Which term is the rate at which work is done? a. energy b. powerc. joulesd. force
Answer:
power
power is the rate of doing work. It is equivalent to an amount of energy consumed per unit time. In the SI system, the unit of power is the joule per second (J/s).
an fm radio station broadcasts electromagnetic radiation at a frequency of 92.6 mhz. what is the wavelength (in meters) of this radiation (speed of light
The wavelength of the electromagnetic radiation broadcasted by the FM radio station is 0.3 m.
The FM radio station is broadcasting the electromagnetic radiation at a frequency of 92.6 megahertz.
The relation between the frequency, wavelength and speed of the electromagnetic radiation is given by,
v = cy
Where,
c, y and v are the speed, wavelength and frequency of the electromagnetic radiation respectively.
The speed of the electromagnetic radiation will be equal to the speed of the light.
Now, putting all the values,
92.6 x 1000000 = y x 3 x 10^8
y = 0.3 m.
So, the wavelength of the FM electromagnetic radiation is 0.3m.
To know more about wavelength, visit,
https://brainly.com/question/10728818
#SPJ4
On the construction site for a new skyscraper, a uniform beamof steel is suspended from one end. If the beam swings back andforth with a period of 2.00 s, what is its length?
A uniform steel beam is suspended from one end on the construction site of a new skyscraper. The beam's length is 0.99 m if its back-and-forth motion has a period of 2.00 s.
A simple pendulum is a beam suspended from one end. Simple pendulums are mechanical devices that move in a predictable pattern.
The formula for the time period of a simple pendulum whose length is 'l' is
T = 2[tex]\pi[/tex] [tex]\sqrt{\frac{l}{g} }[/tex]
Here, g is the acceleration due to gravity.
The time period of the beam is given as 2.00 s.
We can deduce from the preceding formula that
l = [tex]\frac{T^{2}g }{4\pi ^{2} }[/tex]
We have gravity acceleration, g = 9.8 m/[tex]s^{2}[/tex]
π = 3.14
and T = 2.00 s
So,
l= [tex]\frac{(2.00)(2.00)(9.8)}{4(3.14)(3.14)}[/tex]
or,
l = [tex]\frac{39.2}{39.4}[/tex]
or, l = 0.99 m.
As a result, the length of the beam is 0.99 m.
For more such questions on Time period :
brainly.com/question/569003
#SPJ4
a chest x-ray is taken using 100 kvp and 2 mas and produce 32 mr of radiation. if the mas is changed to 4 mas how much radiation will be produced?
According to the question radiation will be produced is 64 mR.
What is a straightforward explanation of radiation?The energy that emanates from a point and moves across space at the rate of light is referred to as radiation. This energy has wave-like qualities and is accompanied by an electric field as well as a magnetic field. Radiation may also be referred to as electromagnetic waves.
Briefing:Intensity 1 / Intensity 2 = mAs 1 / mAs 2
Intensity 1 = 32mR
Intensity 2 = ???
⇒MAs 1 = 2
⇒MAs 2 = 4
⇒32mR / x = 1/2
⇒x= 64 mR
To learn more about radiation visit:
https://brainly.com/question/13934832
#SPJ4
what is the molarity of h2o2 after four half-lives if the initial concentration of h2o2 is 0.30 m?
Upon calculation the molarity of H₂O₂ after four half lives if the initial concentration of H₂O₂ is 0.30M is found to be 0.01875 M
This question can be solved using the concept of first order reaction
Every reaction has its own tempo. A glass of milk will begin to get sour in approximately an hour if left on a sunny windowsill. But when potassium metal is added to water, it reacts quickly and strongly. Two factors affect how quickly a reaction occurs. The first is the rate constant (k), which varies depending on the kind of reaction and is temperature-dependent. The second factor is the reactant concentration. The sequence of the reactions determines how the concentration influences the rate.
For a first order reaction,
ln[tex](\frac{A}{A_{o} })[/tex]= Kt
here, A= initial concentration
[tex]A_{0}[/tex]= concentration at a time t
K= Rate constant
t= time
A= 0.30 M
ln[tex](\frac{A}{A_{0} })[/tex]= k× 4[tex]t_{1/2}[/tex]
ln([tex]\frac{0.30}{A_{o} }[/tex])= k×[tex]\frac{4 ln2}{k}[/tex]
[tex]\frac{0.30}{A_{0} }[/tex]= 2⁴
[tex]\frac{0.30}{16}= A_{0}[/tex]
[tex]A_{0}[/tex]= 0.01875M
We can learn more about first order reaction here:
https://brainly.com/question/12446045#
#SPJ4
a ball is shot from the ground straight up into the air with initial velocity of 46 46 ft/sec. assuming that the air resistance can be ignored, how high does it go?
The ball may fly up to a height of 27.56 feet. A ball is thrown up into the air, yet although though it rises into the air, the direction and velocity of the ball are actually downward.
As it rises, the ball's speed slows until the very apex of its motion, where it briefly pauses. At the peak, it accelerates at -9.8 m/s2.
the settings provided.
initial ball velocity (u) = 42 ft/s initial ball acceleration (a) = 32 ft/s2
The following formula is used to determine the ball's highest possible height:
v² = u²- 2gh
where;
When the ball is at its highest point, its velocity is zero.
0 = u² - 2gh
2gh = u²
The ball can therefore go a maximum height of 27.56 feet.
Learn more about speed here-
https://brainly.com/question/28484577
#SPJ4
which has greater linear speed, a horse near the outside rail of a merry-go-round or a horse near the inside rail?
In the same period of time, the horses on the outside of the carousel must travel farther than the ones on the inside. Accordingly, the horses outside move at a faster linear speed than the horses at the hub.
On a merry-go-round, is the angular speed the same?Every point on the surface of the merry-go-round revolves at exactly the same angular speed because it rotates as a single solid entity.
whose tangential speed is higher A horse near the outside rail or one towards the middle of the merry-go-round?Which horse travels faster along a rail, one near the inside or one on the outside of a merry-go-round? neither because their linear speeds are equal.
To know more about linear speed visit:-
https://brainly.com/question/3930773
#SPJ4
what is the angle between the beam that is reflected at the water surface and the beam that is transmitted into the water?
The critical angle for water is 49 degrees, calculated as the angle between the beam and a line perpendicular to the surface.
What alternative word would you use for reflecting?Cogitate, deliberate, reason, conjecture, and think are a few words that frequently replace the word reflect. All of these terms indicate "to utilize one's faculties of imagination, reasoning, or inference," but reflect denotes thoughtful deliberation over a memory that has just come to mind.
What response is reflected?When light reflects off of something, it does so. The light will reflect at the same angle it struck the surface if the surface is smooth and shining, such as glass, water, or polished metal. Specular reflection is the name for this. A smooth surface allows light to bounce back at the same angle that it was incident.
To know more about Reflected visit:
https://brainly.com/question/13069673
#SPJ4
a scuba diving tank of oxygen gas has a pressure of 204 atm when kept in a climate-controlled storage area with a temperature of 23c. what would be the pressure inside the tank if left outside in the sun when the temperature is 37c?
213.65 atm is the pressure inside the tank if left outside in the sun in the temperature is 37°C.
Gay-Lussac's lawGay-Lussac's law states that " the pressure exerted by a gas (of a given mass and kept at a constant volume) varies directly with the absolute temperature of the gas".
According to the law, we have,
[tex]\frac{p_2}{T_2} = \frac{p_1}{T_1}[/tex]
Where,
[tex]p_2[/tex] is final pressure
[tex]p_1[/tex] is initial pressure
[tex]T_2[/tex] is final temperature
[tex]T_1[/tex] is initial temperature
Initial temperature: T₁ = 23° C =273 + 23 K = 296 K.
Initial pressure: p₁ = 204 atm.
Final temperature: T₂ = 37°C = 273 + 37 K = 310 K.
Final pressure: p₂ = ?
Substituting the values we get,
[tex]\frac{p_2}{T_2} = \frac{p_1}{T_1}[/tex]
[tex]p_2[/tex] = [tex]\frac{(p_1)(T_2)}{T_1}[/tex]
[tex]p_2[/tex] = [tex]\frac{(204)(310)}{296}[/tex]
[tex]p_2[/tex] = [tex]\frac{63,240}{296}[/tex]
[tex]p_2[/tex] = 213.648 ≈ 213.65atm.
Therefore, the pressure inside the tank if left outside in the sun is 213.65atm.
To learn more about pressure refer here:
https://brainly.com/question/12971272#
#SPJ4
In a game of tug-of-war, two teams pull on opposite directions of a rope and there are two
important forces. If Newton's 3rd Law says the forces are equal, explain how it is possible to
win tug-of-war.
This phenomenon of motion in physics can be explained in the following manner,
In a tug-of-war the rope is pulled by the two competing teams simultaneously, each using an equal amount of force. The rope is pulled with equal force by both teams thanks to Newton's third law. If one team pushes harder, the other team will follow suit.
The power with which the teams press the ground determines whether one team wins or loses. The team that pushes the floor harder gets pushed back with identical intensity by the ground, causing them to stand up straight without losing their equilibrium.
As a result, the power by which the team pushes the floor determines who wins and who loses.
Read more about Newton's Third law of motion from:
https://brainly.com/question/29880909
xif 54 j of work is needed to stretch a spring from 10 cm to 16 cm and another 90 j is needed to stretch it from 16 cm to 22 cm, what is the natural length (in cm) of the spring? cm
the natural length (in cm) of the spring is 4 cm
Calculation :
Let a = natural length of string from given data
54 = k/2(16-a)² - k/2(10-a)²
108 = k[256 + a² - 32a - 100 - a² + 200]
108 = k[156 - 12a]
9 = k[39 - 3a] ------ 1
90 = k/2(22-a)² - k/2(16-a)²
90 = k(114 - 6a)
15 = k(19 - a) --------2
solving eqn 1 and 2
15/9 = (19k - ka)/(13k - ka)
15/9 = (19- a) / (13 - a)
24 = 6a
a = 4 cm
the natural length (in cm) of the spring is 4 cm.
Work is a force over distance. Examples of jobs include lifting objects against gravity, driving cars up hills, and pulling down trapped helium balloons. Work is a mechanical manifestation of energy. The usual unit of work is the joule (J), which is equivalent to the Newton meter (N m).
Learn more about work here : https://brainly.com/question/25573309
#SPJ4
if a particle's speed increases by a factor of 5, by what factor does its kinetic energy change?
The kinetic energy would increase by a factor of 25.
The kinetic energy of a moving body is a function of its mass and the velocity with which it is traveling. It can be expressed by the formula:
KE=1/2mu²
This suggests that the kinetic energy a body has varies directly with mass and with the square of the velocity. With this knowledge, we can easily figure out how it changes when the speed is altered by a certain factor. Assuming that the initial speed of a body of mass m was u, the initial kinetic energy of the body would be:
KE = 1/2mu²
Now that the speed is increased by a factor of of 5, the final speed y would be equal to 5 times the initial speed u, such that v=5u. The kinetic energy of the body would then be:
KE = 1/2m²
KE = 1/2m(5u)
KE = 1/2m(252)
Pulling out 25 and replacing the expression for the initial kinetic energy:
KE = 25.1/2mu²
KE = 25KE
So, on increasing the velocity by a factor of 5, the kinetic energy would increase by a factor of 25.
What is kinetic energyKinetic energy is the energy possessed by an object caused by the force of motion. The term kinetic comes from the Greek, 'kinetikos', which means to move. Therefore, an object moving at a certain speed must have kinetic energy, while an object that is not moving does not have kinetic energy.
Kinetic energy is also called motion energy, where the movement of an object can produce other energy. For example, motion energy can be turned into electrical energy, eventually that electrical energy can be utilized by humans.
Types of kinetic energyKinetic energy is divided into two types which are classified based on the movement of an object, namely:
Translational kinetic energyThis type of translation is kinetic energy produced by objects moving in a straight line with the same direction and speed. For example, a car driving on a highway and a bullet moving in a straight line.
Rotational kinetic energyThis is a condition when an object rotates. When rotating, the amount of energy in it can change. For example, the rotation of the earth around the sun, a spinning top that rotates on its axis, and a Ferris wheel.
Learn more about kinetic energy at https://brainly.com/question/26472013.
#SPJ4
why do the terrestrial planets have relatively meager atmospheres compared with those of the jovian planets?
The terrestrial planets receive more heat from the Sun and have a lower gravitational pull than the Jovian planets, which receive less heat from the Sun and have a much higher gravitational pull.
Because they are large and composed mostly of gas they are sometimes called gas giants. Small amounts of rocky material are found only deep within the core of Jupiter's planet. In the solar system, Jupiter planet is farther from the Sun than the terrestrial planets and is therefore cooler.
Terrestrial planets formed from rocky and metallic planetesimals but were ultimately too small to capture the large amounts of hydrogen and helium gases abundant in the solar nebula. But Jupiter's planet formed far from the Sun where ice and rock were abundant.
Learn more about Terrestrial planets here:-https://brainly.com/question/7633968
#SPJ4
a mass of sunken lead is resting against the bottom in a glass of water. you take this lead, put it in a small boat of negligible mass, and float the boat in the water.
A. The sunken lead displaces a volume of water equal to the lead's own volume.
B. The floating lead displaces a volume of water equal to the lead's own volume.
C. The sunken lead displaces a volume of water whose weight equals the lead's weight.
D. The floating lead displaces a volume of water whose weight equals the lead's weight.
A amount of water corresponding to the submerged lead's own volume is displaced by it, and A volume of water equal to the weight of the floating lead is displaced by the floating lead.
In a definition, what is mass?A measured amount of rigidity, a fundamental characteristic of all matter, is known as mass in physics. The resistance an unit of matter gives to one change in its pace or location as a result of the applying of a force is what it is in essence.
How much mass does a body have?(a) A body's mass is how much matter is there inside of it. Kg is really the SI mass measurement unit. (kg). (b) The force that pulls a body toward the center of the earth is the load of that body.
To know more about Mass visit:
https://brainly.com/question/25121535
#SPJ4
How does changing the frequency affect the wave speed
Answer:
Explanation:
Changing the frequency or amplitude of the waves will not change the wave speed, since those are not changes to the properties of the medium.
Answer:
Changing the frequency or amplitude of the waves will not change the wave speed
Explanation:
Calculating the moment about AB using the position vector AC
Using the position vector from A to C, calculate the moment about segment AB due to force F .
Express the individual components to three significant figures, if necessary, separated by commas.
The moment about AB using the position vector AC is 55.9 i + 342.3 j + 0 k N.m and the position vector from A to C, calculate the moment about segment AB due to force F is -95.4 i + 191.07j + 0 k N.m.
Given that:
x₁ = 1.4m
y₁ = 1.7m
z₁ = 1.5m
Applied force at point C = F = | - 165 i + 100 j + 140 k | N
The moment about AB using the position vector AC :
Using the equation: M(AB) = u(AB) . [ r(AC) X F ] (equation 1)
We have:
OA = 0
OB = 1.4 i + 1.7 j
OC = 1.4 i + 1.7 j + 1.5 z
Now,
vector AB = vector OB - vector OA
vector AB = 1.4 i + 1.7 j
and, u(AB) = vector AB | vector AB (equation 2)
= |vector AB| =
= AB
= √ ( 1.4² + 1.7² ) (inserting this in equation 2)
= u(AB) = (1.4 i + 1.7 j ) / √ ( 1.4² + 1.7² )
= u(AB) = 0.636 i + 0.772 j
distance r(AC) = vector OC - Vector OA
= r(AC) = 1.4 i + 1.7 j + 1.5 z
Now, inserting values of u(AB), r(AB) and F in equation 1,
= M(AB) = 0.636 [1.7 X 140 - 1.5 X 100] + 0.772[1.4 X 140 + 165 X 1.5] + 0
= M(AB) = 0.636 (238 - 150) + 0.772(196 + 247.5) + 0
= M(AB) = 55.9 i + 342.3 j + 0 k N.m
Now,
r(BC) = vector OC - vector OB
r(BC) = (1.4 i + 1.7 j + 1.5 z) - (1.4 i + 1.7 j )
r(BC) = 1.5 z
Now, inserting values of u(AB), r(BC) and F in equation 1,
= M(AB) = 0.636 [0 X 140 - 1.5 X 100] + 0.772[ 0 X 140 + 165 X 1.5] + 0
= M(AB) = 0.636 (0- 150) + 0.772(0+ 247.5) + 0
= M(AB) = -95.4 i + 191.07j + 0 k N.m
To know more about Moment:
https://brainly.com/question/14639993
#SPJ4
The complete question:
Calculating the moment about AB using the position vector AC
Using the position vector from A to C, calculate the moment about segment AB due to force F .
Express the individual components to three significant figures, if necessary, separated by commas.
The dimensions are: x₁ = 1.4m, y₁ = 1.7m, z₁ = 1.5m and the force applied at point C = [-165 i + 100 j + 140 k] N.
one month ago, did you have to look east or west of the highest constellation that you saw to see the constellation that is highest now at midnight?
Observers need to look to the west to be able to see the highest constellation one month ago.
A constellation is a group of stars that appear connected to form a special configuration. In three-dimensional space, most of our stars have no relationship with each other but can appear as clusters on the night sky globe.
The constellation that was highest in the sky at midnight a month ago would be in the western sky at midnight, for its rise meant it had to rise earlier to get that far.
The Earth also orbits the Sun, causing different parts of the galaxy to appear at different points in Earth's orbit. This means that if you look at one group of stars one month, they will appear in a different place the next month.
Learn more about the highest constellation at https://brainly.com/question/29886101
#SPJ4
How is the speed of light affected as light passes at an angle from air to water?
It speeds up.
It remains constant.
It passes through unchanged.
It slows down.
Answer:
It slows down.
Explanation:
When light travels from one medium to another, its speed changes according to the properties of the two media. In the case of light traveling from air to water, the speed of light will decrease. This is because water is denser than air, so the light waves encounter more resistance as they pass through the water. This causes the light to slow down and its path to bend, a phenomenon known as refraction.
Answer: It slows down.
Explanation:
they are said to be “denser” than air. what happens is that light slows down when it passes from the less dense air into the denser glass of water. this slowing down the ray of light also causes the ray of light to change directions. it is the change in the speed of the light that causes refraction.
The index of refraction of water (1.33) is greater than that of air (1.00).
With that said the index of refraction is related to the velocity of light by:
[tex]n=\frac{c}{v}[/tex]
where n is the index of refraction, c is the speed of light in a vacuum and v is the velocity of light in the medium.
As c is constant we can see that the speed of light in a medium is inversely proportional to the index of refraction
[tex]n = \frac{1}{v} \\[/tex]
therefore the medium with the lower index of refraction will have the greatest velocity of light (Air).
you are swinging a tin can around your head in a perfectly horizontal circle and its acceleration is 32 m/s2. if its speed is 4 m/s what is the value of the radius of its circular path? group of answer choices
The radius in the circular path is 2m.
A circle's or sphere's radius is any line segment that connects the object's center to its perimeter in classical geometry. In more contemporary usage, it is also the length of such line segments. The word "radius" is derived from Latin and means "ray" as well as "the spoke of a chariot wheel."We are given that,
Acceleration = a = 32 m/s²
Speed = v = 4m/s
Thus , the radius of the circular path can be calculated by the formula,
a = v²/r
Where a is acceleration , v is speed and r is the radius of the circular path,
r = v²/a
r = (4m/s)²)/(32m/s²)
r = 2m
Hence the radius r of the circular path would be 2m.
To know more about circular path
https://brainly.com/question/29410787
#SPJ4
determine the equilibrium constant, k, at 25°c for a reaction in which δgo = −20.5 kj/mol.
3.92 ×[tex]10^{3}[/tex] is the equilibrium constant, k, at 25°c for a reaction in which δgo = −20.5 kj/mol. ΔGo and K are related by the equation ΔGo = -RT ln K.
For a chemical reaction, the equilibrium constant can be defined as the ratio of reactant to product that is used to determine chemical behaviour. The rate constants are constant at a given temperature.
The equilibrium constant is equal to the forward reaction rate constant divided by the reverse reaction rate constant.
The demand and supply function (Qa - bP = x + yP) can be used to calculate it. When the supply equals the demand, the equation yields an equilibrium price. Because we're supposed to be using active masses rather than molarity/concentrations of the respective substances, the equilibrium constant has no units.
For such more questions on Equilibrium :
brainly.com/question/10038290
#SPJ4
A simple pendulum consists of a small object of mass m (the "bob") suspended by a cord of length l of negligible mass. A force F⃗ is applied in the horizontal direction (so F⃗ =Fi^), moving the bob very slowly so the acceleration is essentially zero. (Note that the magnitude of F⃗ will need to vary with the angle θ that the cord makes with the vertical at any moment.) (Figure 1) Part A Determine the work done by this force, F⃗ , to move the pendulum from θ=0 to θ=θ0. Express your answer in terms of the variables m, l, θ0, and appropriate constants. Enter the argument of trigonometric function in parenthesis. WF = SubmitMy AnswersGive Up Part B Determine the work done by the gravitational force on the bob, F→G=mg→. Express your answer in terms of the variables m, l, θ0, and appropriate constants. WG = SubmitMy AnswersGive Up Part C Determine the work done by the force F→T that the cord exerts on the bob. Express your answer in terms of the variables m, l, θ0, and appropriate constants. WT = I need hellp with part c
The work done by the the force is mg ( 1 - cosθ₀ ). The work done by the gravitational force on the bob is - mgl ( 1 - cosθ₀) . The work done by the force that the cord exerts on the bob is always zero.
(A) Mass of the bob = m
Length of the chord = l
Magnitude of force = f
Initial acceleration = 0
Initial angle = θ₀ = 0
Final angle = θ
Distance travelled = s = Final angle - Initial angle
The work done is proportional to force and displacement. It can be determined as W.
Work done by the force = W =
= W = ΔU
= W = mgh
= W = mg ( 1 - cosθ₀ )
Here, we used the work energy theorem to solve for the work done by the horizontal force.
(B) The work done by gravitational force is = W
= W = F.x
= W = mgl ( 1 - cosθ₀) X cos180
= W = - mgl ( 1 - cosθ₀)
(C) The tension that cord exerts on the bob is always at the angle of 90.
The work done is given as,
= W = F.x
= W = F. x X cos90
= W = 0
To know more about Work Done:
https://brainly.com/question/28727088
#SPJ4
what is the distance between the second maximum of laser 1 and the third minimum of laser 2, on the same side of the central maximum? express your answer in meters.
The distance between the second maximum of laser 1 and the third minimum of laser 2, is 0.36 m.
x1 = nλL / d
n=second maxima of laser 1
= 2 * (d/20) *5.40 /d
= 0.54 m
X2= (n+1/2)λL/d
n= 2= third minima of laser 2
= 2.5 *(d/15)* 5.40 /d
= 0.9m
distance del(y)max-min between second maximum of laser 1 and the third minimum of laser 2, on the same side of the central maximum =
0.9 -0.54 = 0.36 m
A laser is a device that produces light by optically amplifying electromagnetic energy through stimulated emission. The term "laser" stands for "light amplification by stimulated emission of radiation" (abbreviated "laser"). The first laser was created in 1960 by Theodore H. Maiman at Hughes Research Laboratories, based on theoretical research by Charles Hard Townes and Arthur Leonard Schawlow.
Because it emits coherent light, a laser is unique among other light sources. Laser cutting and lithography are made possible by spatial coherence, which makes it possible to focus a laser on a small area.
Learn more about laser here:
https://brainly.com/question/27853311
#SPJ4
That ame bird 2KG wa flying at 4MS toward my car and my car 12000 KG what wa going 30MS toward the bird what i not happening in term of velocity
A bird of 2Kg mass was flying at 4m/s towards a car and the car of mass 12000 Kg was going with 30m/s towards the bird, then the velocity of center of mass is 11250.35m/s
Given the mass of bird(m1) = 2kg
Mass of car (m2) = 12000kg
velocity of bird (v1) = 4m/s
velocity of car (v2) = 30m/s
Velocity of center of mass (V) = m1v1 + m2v2 / m1+m2
V = 2x4 + 12000x30 / 2+30 = 11250.35m/s
Hence the velocity of center of mass is 11250.35m/s
To learn more about velocity click here https://brainly.com/question/18084516
#SPJ4
three resistors, 1-ohm, 2-ohm, and 3- ohm are connected in parallel. if they were connected in series instead their equivalent resistance would be
They would have an 11-times higher equivalent resistance if they were joined in series.
What is an example of resistance?Consider the scenario of a person navigating a busy market and encountering difficulty moving from one business to another to better understand resistance. Undoubtedly, this circumstance is comparable to a particle trying to pass through a wire.
What factors affect resistance?An electrical conductor's resistance is determined by its length, resistivity, and cross-sectional area. The relationship between conductance and resistivity must be understood; the more conductive that anything is, the less resisting it is.
To know more about resistance visit:
https://brainly.com/question/29427458
#SPJ4
The complete question is-
three resistors, 1 ohm, 2 ohm, 3 ohm are connected in a parallel. if they were connected in series instead their equivalent resistance would be
a. 13 times as great
b. 11 times as great
c. 9 times as great
d. 7 times as great
e. none of the above