No material object can reach or exceed the speed of light is the assumption.
The Principle of Relativity : The states of changed physical systems are not affected, whether these changes of state be referred to the one or the other of two systems in uniform translatory motion relative to each otherThe Principle of Invariant Light Speed : Light is always propagated in empty space with a definite velocity c which is independent of the state of motion of the emitting body.In relative theory, reference frames play a vital role. It is used to measure a time of events by using a clock.An event is nothing but an occurrence that refers to a location in space corresponding to the reference frame. For instance, the explosion of a fire flower can be considered as an event.To know more about theory of relativity visit:
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Figure shows objects with charges. Show from which object the electrons flows. State why. In
which of these figures do you get a static electric spark? Draw the spark on the figure.
It is to be noted that the electron flows occur in Figures (a) and (d).
What is the rationale for the above answer?The total number of electrons in the left plate is equal to the total number of positive charges in the right plate in Figure (a). As a result, no electron flow occurs here. A static electric spark does not occur.
The left plate in Figure (b) has three negative charges and three positive charges. The right plate, on the other hand, has five negative charges and one positive charge. As a result of the neutralization effect, the plates now have additional negative charges. As a result of the extra electrons present, a static electric spark occurs.
The identical thing happens in Figure (c) as it does in Figure (b). As a result, an entire static electric spark happens here as well. The complete negative charges on the right plate are flowing toward the ground in Figure (d). As a result, the left side plate has total negative charges while the right side plate has total positive charges.
As a result, we can see that the electrons flow in Figures (a) and (d). While figures (b) and (c) show static electric sparks.
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Full Question:
See attached image
a fighter jet is traveling at 525 m/s directly away from a communication antenna that broadcasts at 410 mhz . What change in frequency does the fighter jet observe
The fighter jet notices a frequency change of 718 Hz.
from Doppler's effect, f' = f(1 - [tex]\frac{u}{c}[/tex])
Here, c stands for the speed of light, u for the speed of a fighter jet, and f for the antenna's broadcast frequency.
so, f' = f(1 - [tex]\frac{u}{c}[/tex])
⇒f'/f =( 1 - [tex]\frac{u}{c}[/tex])
⇒(f - f')/f = [tex]\frac{u}{c}[/tex]
⇒∆f = f([tex]\frac{u}{c}[/tex])
so change in frequency, ∆f = f([tex]\frac{u}{c}[/tex])
now f = 410 × 10⁶ Hz , u = 525 m/s and c = 3 × 10 m/s
so, ∆f = (410 × 10⁶ × 525)/(3 × 10⁸)
= 71750 × 10⁻²
= 717.75 Hz ≈ 718 Hz
As a result, the fighter jet recorded a 718 Hz change in frequency.
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Consider the following statement: The magnitude of the buoyant force is equal to the weight of fluid displaced by the object. Under what circumstances is this statement true? a. for every object submerged partially or completely in a fluid b. only for an object that floats c. only for an object that sinks d. for no object submerged in a fluid
The amount of fluid the object displaces equals the buoyant force's magnitude.This really is true for any object that is partially or entirely submerged in a fluid.
Whatever happens to the an object when its weight and buoyant force are the same?The object can stay suspended at its current depth if the hydrostatic pressure is equal to its weight.Regardless of whether an object floats, falls, or is held in a liquid, the hydrostatic pressure is constantly at work.
How much of a force does buoyancy exert on an item submerged in fluid?The mass of the fluid that an object displaces determines the size of the buoyancy force acting on it.
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The absorption spectrum for chlorophylls a and b are shown by the graph. These are two pigments found in plants and green algae that are the main pigments of photosynthesis.
At which wavelength of light would photosynthesis be at its lowest?The absorption spectrum for chlorophylls a and b are shown by the graph. These are two pigments found in plants and green algae that are the main pigments of photosynthesis.
At which wavelength of light would photosynthesis be at its lowest?
A.) 450 nm
B.) 550 nm
C.) 650 nm
D.) 400 nm
The wavelength of light would photosynthesis be at its lowest at 650nm.
The correct option is C.
What is wavelength?The wavelength is the spatial period of a periodic wave which is the distance over which the wave's shape repeats.
Since the absorption spectrum for chlorophylls a and b are shown by the graph which indicates that there are two pigments found in plants and green algae that are the main pigments of photosynthesis.
At point 650nm, the wavelength of light would photosynthesis be at its lowest because red has longest wavelength, at around 620 - 780 nanometers with lowest frequency.
In conclusion, the wavelength of light is defined as “the distance between the two successive crests or troughs of the light wave” and is denoted by the Greek letter lambda.
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Ultraviolet radiation has frequencies from 3.0×1015 to 3.0×1016 Hz, whereas the frequency region for gamma ray radiation is 3.0×1019 to 3.0×1024 Hz.
We can say that:
1. The speed of ultraviolet radiation is _________ higher than/ lower than/the same as gamma ray radiation.
2. The wavelength of ultraviolet radiation is ________ longer than /shorter than/ the same as gamma ray radiation.
What is the maximum number of orbitals that can be identified with the following quantum numbers: n = 3, ℓ = 0
a. 7
b. 8
c. 18
d. 1
e. 2
1) The same as gamma rays. As we know all electromagnetic radiations travel with speed of light.
2) longer than gamma rays
As we know, higher the frequency lower is the wavelength.as ultraviolet has lower frequency than gamma rays.so it has longer wavelength.
3) n=3 ,l=0 ,hence it is 3s orbital so it has 1 orbital.
(d) is correct.
The frequency of a repeated event is its number of instances per unit of time. It differs from angular frequency and is sometimes referred to as temporal frequency for clarification. One event occurs per second when measuring frequency in hertz.
By comparing the values of the fields you provide, a straightforward frequency analysis generates a report that shows each value for those fields along with the frequency at which it appears.
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a 5.0 cm -thick layer of oil is sandwiched between a 2.0 cm -thick sheet of glass and a 2.4 cm -thick sheet of polystyrene plastic.
The time taken should be 0.399 ns.
What is the refractive index?
The refractive index is the measure of bending of a light ray when passing from one medium to another. It can also be defined as the ratio of the velocity of a light ray in an empty space to the velocity of light in a substance, n = c/v.
We know that
Time taken = Thickness of the layer / speed of the light
Also,
v = speed of sound/refractive index.
Now
T1 = 0.05*1.46/3*10^8 = 2.43*10^-10 s
t2 = 0.01*1.5/3*10^8 = 5*10^-11 s
t3 = 0.02*1.59/3*10^8 = 1.06*10^-10 s
So,
total time is
= 2.43*10^-10 + 5*10^-11 + 1.06*10^-10 = 0.399*10^-9 s
= 0.399 ns
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Object A with mass 1 kg is tied with a string to object B with mass 2 kg. Force F, is
pulling the object with mass 1 kg. When it is moving with the acceleration of 1 m/s?.
the friction force on A is 5 N and on B is 10 N.
Find F and tension in the spring that attached A and B.
The tension in the string is 15 N.
What is string?String is a data type used in programming that refers to a sequence of characters. It is typically used to store text-based data, such as words or sentences, and is often used to represent strings of text that the user has input. String data types are used in many programming languages, including Java, C++, Python, and JavaScript. String data types are also used to store information such as file paths, website URLs, and database names. In some programming languages, a string is also referred to as a character array.
F = 1 kg * 1 m/s2 = 1 N
The tension in the string is the sum of the forces acting on each object.
For Object A, the forces are F (1 N) and the friction force (5 N).
For Object B, the forces are the friction force (10 N) and the tension in the string.
Therefore, the tension in the string is 10 N + 5 N = 15 N.
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Which describes an object in a projectile motion?; What is projectile motion ?; What direction does gravity act on a projectile?; How do you describe a path in projectile motion?
Projectile motion is the movement of an object in the curved path toward the ground as it has both a horizontal force and the downward force of gravity acting on it.
Projectile motion is the movement of an item thrown or projected into the air, situation to only the acceleration of gravity. The item is referred to as a projectile, and its path is referred to as its trajectory.
The path of a projectile is parabolic. at some point in the motion, the acceleration of the projectile is steady and acts vertically downwards being identical to g.
Projectile movement is the movement of an item thrown up within the air at a perspective from the horizontal (or floor) with the item shifting below gravitational acceleration pointed vertically downwards, Now depending on the perspective of projection.
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A basketball player shoots a basketball at 5.98 m/s at a 56.7° angle. If the goal
is 7.24 m away, how much time does the ball take to reach the horizontal position of the goal?
(Unit = s)
Thank you for the help!
A basketball player shoots a basketball at 5.98 m/s at a 56.7° angle. If the goal is 7.24 m away, 2.205 sec time does the ball take to reach the horizontal position of the goal.
What is velocity?The same as for speed, "m/s" is the SI unit for velocity. While velocity is the rate at which a body's displacement changes, speed is the rate at which a body's distance travelled changes. While velocity is a vector quantity and requires both magnitude and direction to be described, speed is a directionless quantity.
As an example, consider the speed of a car driving north on a highway or the speed of a rocket after launch.
Given that,
initial speed (u) = 5.98 m/s
angle (θ) = 56.7°
distance (R) = 7.24 m
Now, considering motion along horizontally,
R = (u cosθ) × t
or, 7.24 = 5.98 (cos 56.7°) × t
or, t = 2.205 sec
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Answer:
2.21
Explanation:
when the opportunity cost of lost revenue is relatively high,_____become(s) relatively more attractive.
Excess capacity becomes more desirable when the opportunity cost of lost income is considerable.
Income is a concept that is difficult to define conceptually and may vary across fields. For instance, a person's income in an economic sense may differ from their income as defined by law. Income is the consumption and saving opportunity gained by an entity within a specific timeframe, which is typically expressed in monetary terms.
Haig-Simons income, which defines income as Consumption + Change in Net Worth and is commonly applied in economics, provides an incredibly significant definition of income.
For households and individuals in the United States, income is defined by tax law as a sum that includes any wages, salaries, profits, interest payments, rent, or another type of earnings earned in a calendar year. Discretionary income is frequently described as gross income fewer taxes and expenses.
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Excess capacity becomes more desirable when the opportunity cost of lost income is considerable.
opportunity costs represent the potential benefits that an individual, investor, or business misses out on when choosing one alternative over other. because opportunity costs are unseen by definition, they can be easily overlooked. The value of the next highest valued alternative use of that resource. opportunity cost is a strictly internal cost used for strategic contemplation. The opportunity cost theory analyses pre trade and post trade situations under constant, increasing and decreasing. it is defined as the amount of a second commodity.
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a drum rotates around its central axis at an angular velocity of 11.00 rad/s. assume that the drum then slows at a constant rate of 4.30 rad/s2. (a) how much time does it take and (b) through what angle does it rotate in coming to rest?
The time taken by the drum to come to rest is 2.55 seconds and the angle that it makes is 14π.
The drum rotates around the central axis with angular velocity of 11 rad/s. After that it slow down with constant rate of 4.3 rad/s².
(a) The time taken by the drum to come at rest will he given by,
W' = W + at
W is initial angular velocity,
W' is final angular velocity,
a is the rate of slowing down,
t is the time taken.
Putting values,
11 = 4.3t
t = 11/4.3
t = 2.55 seconds.
(b) The angular displacement will be given by,
2aS = W'² - W²
S is the angles made while slowing down,
Putting values,
2(4.3)S = (11)²
S = 14 rad.
So, the angle made is 14π.
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How to find the net force of on an object?
Answer:
Look for the formula!
Explanation:
the net force formula is FNet = Fa + Fg + Ff + FN.
FN is the force acting on a body.
here are the hints to find one in the future!
Fa is applied force,
Fg is the gravitational force,
Ff is the frictional force,
FN is a normal force.
determine the modulus of elasticity of a composite material if the strain on the material was 0.09 and the following data are known:
If a composite material underwent a 0.09 strain, the material's modulus of elasticity be is 6.48*10⁶ psi
Ef=10.5*10⁶ psi
Em=0.45*10⁶ psi
Vf=0.6
Vm=1-Vf=0.4
Modulus of elasticity is
E=Vf.Ef+Vm.Em
=0.6*10.5*10⁶ psi+0.4*0.45*10⁶
=6.48*10⁶ psi
Therefore Modulus of elasticity E is 6.48*10⁶ psi
Young's modulus, also known as elastic modulus, tensile modulus, or modulus of elasticity in tension, is the ratio of stress to strain and is equivalent to the slope of a material's stress-strain diagram. Young's modulus is sometimes referred to as the modulus of elasticity and is equal to the longitudinal stress divided by the strain.
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1. a visible half-circle first-quarter moon 2. darkest phase of the moon full moon 3. when the the earth is between the sun and the moon 29 1/2 days 4. this is a measurement of how far the moon advances each day in orbit 13 degrees 5. the time the earth must rotate to return to same position relative to the moon new moon
First-quarter moon, New moon, Full moon, 13 degrees, 29 1/2 days. A moon can be defined as the natural satellite of planet earth.
An astronomical body that orbits a planet, dwarf planet, or minor body of the Solar System is referred to as a natural satellite most commonly (or sometimes another natural satellite). The term "moon" is a slang term that originated with the name of the Earth's moon for natural satellites.
There are 207 natural satellites that are known to exist in the Solar System's six planetary satellite systems. Orcus, Pluto, Haumea, Quaoar, Makemake, Gonggong, and Eris are seven objects that are frequently referred to as dwarf planets by astronomers and are also known to have natural satellites. As of November 2021, there are 442 more minor planets that are known to have natural satellites.
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3. A 7.0-kg bowling ball is rolling down the alley with a velocity of 2.0 m/s. For each impulse, shown in Figures 9-3a and 9-3b, find the resulting speed and direction of motion of the bowling ball
(a) The resulting speed and direction of motion of the bowling ball in first graph is 0.71 m/s upward.
(B) The resulting speed and direction of motion of the bowling ball in second graph is 0.71 m/s downward.
What is the impulse of the ball in the first graph?,The impulse experienced by an object is the product of applied force and time of motion.
The impulse of object is also equal to the change in momentum of the object.
J = ΔP = Ft
For the first graph;
J = 5 N x ( 2 - 1 ) s
J = 5 N x 1 s
J = 5 Ns = 5 kg m/s
The speed of the object is calculated as;
v = J / m
where;
m is the mass of the objectv = ( 5 kg m/s ) / ( 7 kg )
v = 0.71 m/s, upward
The impulse experienced by the object in the second graph is calculated as;
J = -5 N x 1 s
J = - 5 Ns = - 5kg m/s
v = J / m
v = - 5 kg m/s / 7 kg = - 0.71 m/s = 0.71 m/s, downward
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Seperate visual images may appear continues due to
Separate visual images may appear continuous due to iconic memory.
option A is the correct answer.
What is Iconic memory?
Iconic memory is the visual sensory memory register which stores visual images after the extinction of a physical stimulus.
Iconic memory is part of the visual memory system, which includes long-term memory and visual short-term memory.
Images are processed in the iconic memory in the following ways. Once the stimulus of a perceived image is seen or perceived, iconic memory begins.
The automatic recognition of the visual stimulus display is processed by the occipital lobe and transferred to iconic memory, where it remains for only milliseconds before being transferred to visual working memory or being discarded.
The persistence of vision in known to be caused by iconic memory.
Thus, we can conclude that separate visual images may appear continuous due to persistence in vision caused iconic memory. So option A is the correct answer.
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The gravitational potential energy that an object possesses is ...
The gravitational potential energy that an object possesses depends on object's mass, height above earth's surface and the gravitational acceleration constant.
Gravitational potential energy is possessed by an object due to change in its position when present in gravitational field.
We know that potential energy of the body at a given position is defined as the energy stored in the body at that position.
The expression of potential energy is given by:
Ep = m * g * h
where, m is the mass of the object in kg
h is height of an object measured above the earth's surface in metres
g is gravitational acceleration (its value is 9.8 m/s²)
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What does gravitational potential energy depend on?; What three things does gravitational potential depend on?; Does the gravitational potential energy of an object depends on the path?
The Gravitational potential energy depends on mass , acceleration and path and potential also as G=V/m.
a). As you can imagine, gravitational energy is the energy associated with gravity. This is the potential energy stored due to an object being in a higher position compared to a lower position. (e.g. far from the ground or close to the ground).
Gravitational energy is the energy associated with gravity.
b). Systems can increase their gravitational energy as their mass moves away from the center of the Earth and away from other bodies (such as the sun, planets, and stars) large enough to generate a large amount of gravity. there is.
Potential energy can be defined as the amount of work expended to lift an object from the ground to its current height. In another sense, this is the amount of work the body does before returning to ground level (the position of maximum stability) when translated from its current level. Therefore, potential energy can be related to work.
c). A negative sign indicates that gravity is doing positive work as the mass approaches. A negative potential indicates a bonding state. That is, when mass is placed under its influence, it becomes trapped in its potential, and if something can provide the energy to escape the clutches of gravity, it must not escape.
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8
Figure 2.24 shows a model of a skyscraper which Omar made
for the school exhibition. It is mounted on a firm plastic base
and has a total weight, W, of 4.0 N. Omar applies a force Fas
shown to test the stability of his model.
Calculate the minimum value of F required to cause the model
to rotate about point P.
Answer:
24-997
Explanation:
Electricity is distributed from electrical substations to neighborhoods at 16000 VV. This is a 60 Hz oscillating (AC) voltage. Neighborhood transformers, seen on utility poles, step this voltage down to the 120 VV that is delivered to your house. A) How many turns does the primary coil on the transformer have if the secondary coil has 130 turns? Express your answer using two significant figures. B) No energy is lost in an ideal transformer, so the output power PoutPout from the secondary coil equals the input power PinPin to the primary coil. Suppose a neighborhood transformer delivers 300 AA at 120 VV. What is the current in the 16000 VV line from the substation? Express your answer using two significant figures and include the appropriate units.
A) The primary coil have 17333 turns on the transformer.
B) Current in the VV line from the substation is 2.5 A.
A transformer is a device used to transfer electrical energy.
The transmission current is an alternating current (AC). It is commonly used to increase or decrease the supply voltage without changing the frequency of the alternating current between circuits. The transformer works on the basic principles of electromagnetic induction and mutual induction.A) According to the Voltage transformation ratio,
N₁/N₂ = V₁/V₂
N₁ = number of coils on the primary coil = ?
V₁ = Voltage supplied on the primary coil = 16000 V
N₂ = 130
V₂ = 120 V
N₁ = V₁*N₂/V₂N₁ = 16000*130 / 120N₁ = 17333.34 ≈ 17333B) Since there is no loss of energy, the current in the 16000 VV line can be calculated as:
P = V*I
P = Power = 300 AA
V = Voltage = 120 V
I = current = ?
I = (P/V)
I = (300/120)
I = 2.5 A
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if a person pulls on the rope with a constant force what is the acceleration of the system? answer in units of m/s2.
The tension in a given rope may be thought of as T = (m g) + (m a), where "g" denotes the gravitational acceleration of any items the rope is supporting and "a" denotes any additional accelerations placed on those same objects.
How do you find the tension of a rope with acceleration?Because of the forces tugging on the rope from both ends, a particular strand of thread or rope will be under strain. Remember that force is defined as mass times acceleration. Any change in mass or acceleration of the objects the rope is supporting will result in a change in the tension in the rope, assuming the rope is stretched firmly. A system's components are nevertheless subject to gravity's continual acceleration even when it is at rest. The tension in a given rope may be thought of as T = (m g) + (m a), where "g" denotes the gravitational acceleration of any items the rope is supporting and "a" denotes any additional accelerations placed on those same objects. The assumption that our rope, cable, etc. is thin, massless, and incapable of being stretched or broken is made for the majority of physics problems.Consider a system where a weight is suspended from a wooden beam using only one rope as an example (see picture). The system is completely at rest because neither the weight nor the rope are moving. Due to this, we are aware that in order for the weight to be maintained in equilibrium, the tension force and the weight's gravitational force must be equal. Or, tension (Ft) Equals force of gravity (Fg) = m g.In that case, the tension force would be 10 kg x 9.8 m/s2 = 98 Newtons, assuming the weight is 10 kg.To Learn more About acceleration refer To:
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Three enemy spacecraft have been causing trouble in the asteroid belt. They always travel in a line, evenly spaced apart, attempting to chase down local spacecraft to steal their goods. The local asteroid colonists have decided to set a trap to capture these three spacecraft. They'll get them to chase one of their fastest ships into an asteroid with a large hole in it and, once the three enemy ships are inside, close two giant trapdoors on each side of the asteroid to catch them. These spacecraft all travel close to the speed of light so the locals will have to take relativity into account. Intelligence about the enemy spacecraft reveals that, in their reference frame, they always travel 90 m behind their teammate, each spacecraft is 10 m in length, and their maximum velocity is 90% the speed of light (relative to the asteroids). The asteroid tunnel is only 215 m in length. In this problem we will analyze whether the locals will be able to capture the enemy spacecraft after taking into account relativity.
Part A: If the spacecraft are traveling at 90% the speed of light, what is the total length L of the three-spacecraft team as observed from the asteroid?
Part B: Suppose the trigger is set so that the moment the first enemy spacecraft enters the asteroid a signal is sent at the speed of light to the other end of the asteroid to trigger the rear trapdoor. How long a time will this signal take to get to the rear of the asteroid?
Part C:How close d_rear to the rear of the asteroid will the first enemy spacecraft be when the trapdoors close?
Part D:One of the local students had been studying relativity and began to question the plan. How would this all appear to the enemy spacecraft as they flew through the asteroid? Specifically, if the spacecraft were in an inertial frame (i.e., one with no acceleration) how long would the asteroid tunnel appear to be in their rest frame?
Part A: If the spacecraft is traveling at 90% the speed of light, the total length L of the three-spacecraft team as observed from the asteroid is 31 meters.
Part B: The signal will take 0.732 seconds to reach the rear of the asteroid.
Part C: The first enemy spacecraft will be 7.3 meters from the rear of the asteroid when the trapdoors close.
Part D: In the inertial frame of the enemy spacecraft, the asteroid tunnel would appear to be 639 meters long.
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Please help me
Jadee S. pulls a piece of luggage across the airport, notices that she is lagging behind her parents and wants to catch up for a short amount of time. She pulls with a horizontal force of 33.3 N. The force due to friction for the luggage is 12.3 N and the mass of the luggage is 50.0 kg.
Answer:
The acceleration of the luggage is:
a = (33.3 N - 12.3 N) / 50.0 kg = 0.466 m/s²
Explanation:
pls make this a brainly!
5. The moon orbits at a speed of about 1000 m/s around the earth at a radius of about
384,000,000 meters. Use this information to find an approximate value for the mass of
the earth. (Remember that G is 6.67E-11)
Actually, they are a long way away. On average, the distance to the Moon is 238,855 miles (384,400 km).
How do you determine the Moon's orbital speed around the Earth?Using the formula v=2rT, where r is the distance between the earth and the moon and T is the period of time that the moon revolves around the earth, we can attempt to answer this question.
How can the orbit of the Moon be used to compute the Earth's mass?All that is left to do is use G = 6.6 x 10-8 and substitute pi = 3.14159, the Moon's period in seconds, T, and its distance from the Earth's center, R.
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Treating the nucleus as a Fermi gas, estimate the time it takes for a typical bound nucleon to cross the nucleus. Now, calculate the time for one revolution of a rigid rotor with j=2, I=5000amu fm2, and A= 208. You may find this helps justify the Nilsson model, where we treat the nucleon as if its orbiting around an essentially stationary rotor.
The time taken for one revolution of a rigid rotor to cross the nucleus is 6,240,000×10⁻¹⁵ sec .
Microwave rotational spectroscopy utilizes microwave radiation to quantify the energies of rotational advances for atoms in the gas stage. It achieves this through the communication of the electric dipole snapshot of the particles with the electromagnetic field of the astonishing microwave photon.
To test the unadulterated rotational advances for particles, researchers use microwave rotational spectroscopy. This spectroscopy uses photons in the microwave reach to cause changes between the quantum rotational energy levels of a gas particle.
We know that time taken to complete one revolution of a rigid rotor is
given by the formula J×(J+1)× B × h
where J is rotational quantum number,
B or I is rotational constant
and h or A is value of atomic mass of the nucleus.
So, on putting we get
=>t=2×(2+1)×5000×208
=>t=2×3×5000×208
=>t=6,240,000fm-sec or
=>t=6,240,000×10⁻¹⁵ sec
Hence, required time is 6.240,000×10⁻¹⁵ sec .
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Four small spheres, each of which you can regard as a point of mass 0.200 kg, are arranged in a square 0.400 m on a side and connected by light rods.a. Find the moment of inertia of the system about an axis through the center of the square, perpendicular to the plane.b. Find the moment of inertia of the system about an axis connecting two opposite sides of the square.c. Find the moment of inertia of the system about an axis that passes through the centers of the upper left and lower right sphere and through the center of the square.
The moment of inertia of the system about an axis through the center of the square, perpendicular to its plane is [tex]$0.0636 \mathrm{~kg}-\mathrm{m}^2$[/tex].
What is moment of inertia?
The moment of inertia, otherwise known as the mass moment of inertia, angular mass, second moment of mass, or most accurately, rotational inertia, of a rigid body is a quantity that determines the torque
Given data:
The mass of each sphere is, [tex]$m=0.200 \mathrm{~kg}$[/tex].
Length of side of square is, [tex]$L=0.400 \mathrm{~m}$[/tex].
The expression for the moment of inertia of the system about an axis through the center of the square, perpendicular to its plane is,
[tex]$I=4 m R^2$[/tex]
Here,
[tex]$\mathbf{R}$[/tex] is the distance between center of the square and the sphere. And its value is,
[tex]$$\begin{aligned}& R=\frac{1}{2} \sqrt{L^2+L^2} \\& R=\frac{1}{2} \sqrt{0.400^2+0.400^2} \\& R=0.282 \mathrm{~m}\end{aligned}$$[/tex]
Then, moment of inertia is,
[tex]$$\begin{aligned}& I=4 \mathrm{~m} R^2 \\& I=4 \times 0.200 \times 0.282^2 \\& I=0.0636 \mathrm{~kg}-\mathrm{m}^2\end{aligned}$$[/tex]
Thus, the moment of inertia of the system about an axis through the center of the square, perpendicular to its plane is [tex]$0.0636 \mathrm{~kg}-\mathrm{m}^2$[/tex].
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How did ibn Sina changed the science of forces
Ibn Sina, also known as Avicenna, was a Persian polymath who made significant contributions to a wide range of fields, including philosophy, medicine, and science. However, his work in the field of the science of forces is not as well known as his contributions to other areas.
Ibn Sina's most significant contributions to the science of forces were in the field of mechanics, the study of motion and the forces that cause it. In his work, he described the concept of momentum, which is the product of an object's mass and velocity, and he also made important contributions to the study of the motion of projectiles.
However, it is important to note that while Ibn Sina made some important contributions to the science of forces, his work in this field was not as influential as the work of other scientists and philosophers, such as Sir Isaac Newton, who made more significant contributions to the development of the laws of motion and the theory of universal gravitation.
What’s the temperature 32 degrees Fahrenheit in degrees Celsius?
What can the arrow in a chemical reaction be translated to mean? Check all that applyA. yieldsB. accompanied byC. react to formD. added toE. except
The arrow in a chemical reaction is translated to mean yields and reactions to form.
We know,
A chemical reaction is simply known as an act or process by which chemical bonds between atoms are broken and new ones are generated. it entails making one or more different substances or compounds.The arrow simply directs us that when two or more elements are combined, a new substance is formed which is the yield, and then a reaction has taken place.Conclusively you can say that The arrow in a chemical reaction be translated to mean yields and react to form.
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one end of a spring is attached to a wall. a 20 n pull on the other end causes the spring to stretch by 2.6 cm .
One end of a spring is attached to a wall and its other end is pulled by a 20N force. The spring is strething until it reach 2.6 cm. Based on Hooke's Law, the spring constant is 769.23 N/m.
Hooke's Law states that when a spring is compressed or extended by a force, the force is proportional to the length strecth.
Spring constant represents the spring's stiffness. It describes the force needed per unit of spring extension. Spring constant and force have relationship where:
F = -k.x
F = force working on the spring
k = the spring constant
x = the spring's displacement from its equilibrium position
Based on the case, we know that:
F = 20N
x = 2.6 cm = 0.026m
k = ?
We will use the spring constant formula to find the spring constant:
F = k.x
k = F/x
k = 20N/0.026m
k = 769.23 N/m
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Complete Question:
One end of a spring is attached to a wall. A 20N pull on the other end causes the spring to strecth by 2,6 cm. What is the spring constant?
