What is the frequency of a wave with a wavelength of 200?.

For a standing wave formed on a string with fixed boundaries at either end, the frequency of the wave of harmonic order is n ( v / 2 L ) where n = 1, 2, 3...

For a standing wave formed on a string with fixed boundaries at either end, the wavelength is λ / 2

Let the distance between the boundaries be L.

v = f λ

v = Wave speed

f = Frequency

λ = Wavelength

λ = v / f

L = n λ / 2

L = n v / 2 fn

fn = n ( v / 2 L ) where n = 1, 2, 3...

Therefore, for a standing wave formed on a string with fixed boundaries at either end, the frequency of the wave of harmonic order is related to the distance between the boundaries and the wave speed by n ( v / 2 L ) where n = 1, 2, 3...

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Solar energy and plants Photosynthesis is a process that turns solar energy into chemical energy in plants and other living things. To produce energy, both rely on sunlight.

Energy is the capacity to perform labor, according to scientists. Because of the ability to transform energy from one form to another and use it to accomplish tasks, modern civilisation is feasible.

Chemical, electrical, radiant, mechanical, thermal, nuclear, and other six main types of energy exist. Additional kinds, such as electrochemical, acoustic, electromagnetic, and others, may be discussed in other studies.

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a solid iron ball is thrown directly downward, with an initial speed of 8. The time (in s) it takes before striking the ground: a=g=9.8 m/s2 a = g = 9.8 m / s 2 is the acceleration due to gravity.

Initial velocity is the velocity at time interval t = zero and its miles are represented with the aid of u. it's miles the velocity at which the motion starts off evolved. they're four initial velocity formulations: (1) If time, acceleration, and final pace are supplied, the preliminary velocity is articulated as. u = v – at.

Initial velocity describes how fast an item travels when gravity first applies force on the object. alternatively, the final velocity is a vector quantity that measures the rate and course of a transferring frame after it has reached its maximum acceleration.

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A weight-lifter strains to lift a heavy weight and there is no such movement of the person's arms holding on to the weight. This type of contraction is known as isometric.

In science and engineering, the weight of an object is the force appearing on the item due to gravity. some general textbooks define weight as a vector amount, the gravitational force performed at the object. Others outline weight as a scalar quantity, the importance of the gravitational pressure.

The word weight denotes an amount of the equal nature as a pressure: a load of a frame is fabricated from its mass and the acceleration due to gravity."

We regularly use the words 'mass' and 'weight' interchangeably, however, they suggest quite different things. Your mass is equal regardless of in which you go within the universe; your weight, alternatively, adjustments from place to region.

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The major difference between ultraviolet and visible light is that UV has a wavelength of 10-400 nm, while visible light has a wavelength of 400–700 nm and infrared has a wavelength of 700 nm–1 mm.

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The design that has the metal bar would increase the chances of an elastic collision and lead to an increase of the velocity of the car after collision.

We know that an elastic collision is one in which there is a conservation of the kinetic energy of the momentum. Recall that the colliding particles would have to constitute a closed system such that there is no loss in the momentum of the objects that are colliding.

We have two designs of the bumpers of the cars. We know that the balloon  design would have more tendency to have this car stick to the other car and create an inelastic Collison.

However, with the metal bar design, there is less tendency that the cars would stick together after collision and we would have an elastic collision. The effect of this is that velocity of the car 2 may increase after the collision.

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The speed of a tsunami depends on the depth of the water it is traveling through. The deeper the water; the faster the tsunami.

What is windspeed?

In meteorology, wind speed, also known as wind flow speed, is a fundamental atmospheric quantity brought on by air shifting from a state of high to low pressure, frequently as a result of temperature changes. Nowadays, an anemometer is frequently used to measure wind speed.

What is tsunami?

A tsunami is a set of waves brought on by a disturbance. Similar to the ripples created when a stone is thrown into a pond, a tsunami can be produced by a disturbance that moves the water vertically (a sudden drop or a sudden rise).

Three factors influence the formation

Windspeed;

Length of time the wind has blown over a given area; and

Distance of open water that the wind has blown over (called fetch).

The speed of a tsunami depends on the depth of the water it is traveling through. The deeper the water; the faster the tsunami. As the water depth decreases, the tsunami slows. The tsunami's energy flux, which is dependent on both its wave speed and wave height, remains nearly constant.

Therefore, the speed of a tsunami depends on the depth of the water it is traveling through. The deeper the water; the faster the tsunami.

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The period of the planet is obtained as 3.5 years .

We know that we can be able to obtain the period of the planet by the use of the Kepler's law. By the use of the Kepler law, we can see that the square of the period of the planet is equal to the cube of the length of the semi major axis.

We can now write;

T^2 = r^3

Now we have the  semi-major axis length as 2.3 au.

We would now have to substitute the values and then obtain the period of the planet from the equation as;

T = r^3/2

T = (2.3)^3/2

T = 3.5 years

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The direction of the acceleration of the particle is 8.825 kg mass.

Solution:

Acceleration = G m1 /r1^2 - G m2/r2^2

=6.67*10^-11 (0.048 - 0.01) towards 8.825 kg mass

= 2.5346 *10^-12 m/s^2 towards 8.825 kg mass

Particles have velocity in the negative direction and constant acceleration in the positive direction. When an object accelerates, its acceleration is in the same direction as its motion. When an object slows down, its acceleration is in the opposite direction of its motion.

Acceleration in uniform circular motion is toward the center along the radius. Instantaneous acceleration is the limit of average acceleration as Δt approaches zero. The velocity vector v always points in the direction of travel. The acceleration vector can point anywhere.

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While standing on frictionless ice, you (mass 65.0 kg ) toss a 4.50g rock with initial speed 12.0m/s.At 37.8 degrees angle did you toss it.

Back to including the slide. The range equation is

Eq1: 15.2 - Vs*t = 12^2/g*sin(2A) (t is the time of flight in all this) Conservation of momentum gives

Eq2: 65Vs = 4.5*v*cos(A) or Vs = 0.8308*cos(A)

Vertical velocity at the turnover point is 0 = Vi + at = 12*sin(A) - gt/2 or Vertical velocity Eq3: t = 2.45*sin(A)

initial speed=12.0m/s

Sub eq3 into eq1 to get

15.2 - 2.45*Vs*sin(A) = 14.7*sin(2A)

Sub eq2 in for Vs Vertical velocity:

15.2 - 2.45*0.8308*cos(A)*sin(A) = 14.7*sin(2A)

15.2 - 2*sin(A)*cos(A) = 14.7*sin(2A) a bit of a roundoff here to get the 2

15.2 - sin(2A) = 14.7*sin(2A)

15.2 = 15.7*sin(2A)

sin(2A) = 0.97

A = 37.8 degrees

To get the speed of the person, you would just use eqn2.

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A driver will have more time and space to exercise options by searching  20-30 seconds ahead.

1. Shrug holds The main muscles that shoulder shrugs target are the trapezius muscles. ...

2. Tighten the glutes The easiest way to work out the buttocks while being in a sitting position is to simply squeeze the muscles. ...

3. Feet lifting Being stuck behind the wheel for long hours can hurt the feet. ...

4. Abdominal Hollowing ...

5. Seated Pelvic Tilt ..?

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The film thickness change over by dL = 1.99 um.

Thomas Young proposed that the superposition principle applies to light, which is a wave. His ability to demonstrate that light may interfere both positively and negatively was his biggest experimental achievement. An updated version of Young's experiment, which only differs in the source of light from the original experiment, uniformly illuminates two parallel slits in an otherwise opaque surface. The light passing through the two apertures can be seen on a distant screen. When the slit widths are substantially more than the light's wavelength, the laws of geometrical optics are upheld and the light creates two shadows and two illuminated zones on the screen.

There are 10 bright fringes

2nLa= (ma + 0.5)W

2nLb = (mb + 0.5)W

mb = ma + 9

2nLb - 2nLa = 9W

Dark fringes = 9

dL = 9 × 610nm/(2 × 1.45)

Thickness film changes by dL = 1.99 um

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The time period for this given SHM, when it moves from equilibrium position to half the amplitude will be T/12.

When the objects starts from the mean position, the equation for displacement is given by x = Asin(wt).

where, x= displacement from the mean position, A= amplitude, w= angular frequency, t= time, T= time period of the object.

Substituting the values in x = Asin(wt).

We get: A/2 = A sin (wt)

1/2 = sin(wt)

wt = π/6

(2π/T)t = π/6

[since, sin(π/6)=1/2 and w=2π/t ]

Therefore, (time) t = T/12

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An 10.0-kg dog is moving at a pace of 5.00 meters per second. The amount of work that must be done to halt its dog in 2.40 seconds must be at least 125 joules.

Whenever an object is transported over a length by an external force, at least a portion of that force must be applied in the plane of the displacement. In physics, this is referred to as work.

The three categories below can be used to categorize the kinds of labor that are done. The three sorts are good work, negative collaborate, and zero work. The type of work that is performed depends on the connection between force and displacement. When a force is used and an item is pushed in that direction, positive work is produced.

Work is equal to force times distance.

Work done = kinetic energy

Kinetic energy is equal to 1/2 mv2 or 1/2 10*5² or 5 *25.

= 125 joules

Hence, work done is 125 joules.

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∫xln(5+x)dx

u = ln(5+x) , dv = xd

du = (1/5+x)dx , v = x2/2

∫xln(5+x)dx = ln(5+x).x2/2 -∫ x2/2 .1/5 dx

=x2ln(5+x)/2 - 1/2 ∫[(x-5) + 25/5+x] dx

=x2ln(5+x)/2 - 1/2 (x2/2 - 5x + 25ln[5+x]) + c

=1/2 (x2 - 25) ln(5+x) - 1/4.x2 +5/2.x+c

In calculus, and more generally in mathematical analysis, integration by parts or partial integration is a process that finds the integral of a product of functions in terms of the integral of the product of their derivative and antiderivative

Integration by parts is a special method of integration that is often useful when two functions are multiplied together, but is also helpful in other ways

∫ udvdx dx = uv − ∫ vdu dx dx. This is the formula known as integration by parts.

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Given

coefficient of kinetic Friction μ(k) = 0.1

Initial speed u = 3.6

Friction is present so it tries to stop to the object and stops it completely after moving certain displacement let say s

maximum deceleration provided by friction is

a(max) = μ(k) * g

           = 0.1 * 3.6

using equation of motion

v² - u² = 2as

where,

v = final velocity

u = initial velocity

a = acceleration

s = displacement

(0)² - (3.6)² = 2 * (-0.36) * s

s = 18 m

Therefore, the displacement will be 18 m

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Answer:

[tex] \huge{ \boxed{4 \: m}}[/tex]

Explanation:

The wavelength of the wave given it's speed and frequency can be found by using the formula

[tex] \lambda = \frac{v}{f}\\ [/tex]

where v is the speed

f is the frequency

From the question

v = 12 m/s

f = 3 Hz

We have;

[tex] \lambda = \frac{12}{3} = 4 \\ [/tex]

We have the final answer as

In a laser generator,  micro reflectors is found at both ends that allows for the amplification and stimulated emission of laser light.

What is laser generator?

A laser beam is produced by a laser generator that uses electrical discharges to excite a gas mixture. This kind of generator operates on the same fundamental tenet as a laser beam, which is to "pump" a medium with energy before the medium returns to its initial state and emits photons.

What is amplification?

amplification (countable and uncountable, plural amplifications) (countable and uncountable, plural amplifications) the process or outcome of enlarging, extending, or adding the act of independently increasing a quantity, particularly voltage, power, or current, or the result of doing so (physics). Gain. (Electronics)

Therefore, in a laser generator,  micro reflectors is found at both ends that allows for the amplification and stimulated emission of laser light.

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The model is subjected to a 100lb total force with the use of solidworks simulation.

Following analysis execution, right-click Results and choose List Result Force to display response forces. Select Reaction force from the Options menu in the PropertyManager. Additionally, you can choose Results Advisor > List Result Force (Simulation CommandManager). For rigid bodies, reaction forces are not considered.

The default criterion is yield strength. The yield strength to Von Mises equivalent stress ratio is used to calculate the safety factor. For ductile materials like steel and aluminum in particular, the Von Mises stress is a reliable indicator of failure.

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The chloroplast of the cell is most likely damaged if the plant cell is no longer capable of capturing energy from sunlight and converting it into chemical energy.

The chloroplast is the structure inside the leaf cell that is known for capturing light energy from the sun.

This light energy is then used to make food that has chemical energy. If a plant cell has a damaged chloroplast or the chloroplast is removed, then it will no longer be able to trap the light energy. As a result, the process of photosynthesis will not occur in the plant cell. The plant cell will not be able to make the chemical energy required for functioning.

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It is accurate to say that the exercise assessment plan includes information on the required subject matter competence or background for an evaluator.

The second law of physics applies to strengthening exercises. One kind of strength can be created by moving a heavy object with little acceleration. This may be seen in the powerlifting discipline, where competitors attempt to perform the deadlift, squat, and bench press with the greatest amount of weight. The third rule of motion, which states that "for every action there is an equal and opposite reaction," is connected to running in the article "The Truth about Running."

The homeostasis of the internal environment is impacted by exercise. Muscle contractions during activity produce heat and force. Therefore, engaging in physical activity uses mechanical energy. The body's reserves of energy will be depleted by the energy that is produced. There is an equal and opposite reaction to every action. This becomes the SAID principle—Specific Adaptations to Imposed Demands—when it is applied to exercise science. In other words, the body will adjust (respond) to the training strategy (action).

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The speed of the merry-Go-round is 3.492 m/s

Given: Time period of Merry-go-round = 4.5 seconds

Diameter of the ring = 5.0m

this implies Radius=2.5m

Distance Travelled to complete 1 circle

=  2πr = 2*π*2.5 = 5π

Time Taken to complete 1 circle = 4.5 seconds

Speed = Distance Travelled/time taken

⇒ speed = 5 pi / 4.5

speed = [tex]\frac{5 * 22}{7 * 4.5}[/tex]

speed = 110 / 31.5

speed = 3.492 m/s

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The students only need to use a ball with a larger circumference in order to make a bigger splash in their subsequent trial.

We can state that an object's volume and mass are directly proportional. The mass of the object rises directly in proportion to the volume. The density of the substance is equal to the gradient of the graph.

Volume is the amount of space an object or substance occupies. Mass is a measurement of how much matter there is in an object or substance. Density is the ratio of an object's or substance's volume (the amount of space it occupies) to the amount of matter it contains.

Similarly in this question the basket ball being bigger will displace more area.

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The distance (in feet) covered before the car comes to a stop is 122.2 ft

It is given that

initial speed of car = u = 50 mi/hr

deceleration = - 22 m/s^2

final speed = v = 0 m/s

We have to find the distance

Applicable kinematic equation is

v^2 - u^2 = 2as

50 mph x 1760 x 3/3600 = 73.333 fps

0^2 - (73.333)^2 = 2*(-22)*s

s = (73.333)^2/44

s = 122.2 ft

Hence, distance (in feet) covered before the car comes to a stop is 122.2 ft

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The stone will fall 0.68 m so that the pulley has 4.50 J of kinetic energy.

The percent of the total kinetic energy of the pulley is 35.6 %.

According to this law, energy can only be converted from one form to another and it can neither be created nor destroyed.  Total energy before and after the event remains conserved.

Given, the mass of the pulley, M = 2.10 Kg

The mass of stone, m = 1.90 Kg

The radius of the pulley, R = 20 cm

The kinetic energy of the pulley = 4.50 J

The kinetic energy of the pulley, I = (1/2) I ω²

[tex]{\displaystyle \frac{1}{2} I\omega^2 = 4.50\; J[/tex]

[tex]{\displaystyle \frac{1}{4} M v^2 = 4.50\; J[/tex]

[tex]{\displaystyle \frac{1}{4} \times 2.10 \times v^2 = 4.50\; J[/tex]

v² = 8.57 m²/s²

From the law of conservation of energy:

KE(pulley)  + KE (stone) + PE (mass) = 0

[tex]{\displaystyle 4.50\; J + \frac{1}{2} m v^2-mgh =0[/tex]

[tex]{\displaystyle 4.50\; + \frac{1}{2} (1.9) \times 8.57=1.9 \times 9.8 \times h[/tex]

h = 0.68 m

The percent of total kinetic energy  is given by:

[tex]\% KE_p = \frac{KE_p}{KE_{total}}\times 100[/tex]

[tex]\% KE_p = \frac{4.50}{4.50 + \frac{1}{2} \times 1.9\times 8.57}\times 100[/tex]

[tex]\% KE_p = 35.6 \%[/tex]

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If all galaxies formed at about the same time, and when we look at a photograph of many galaxies, the galaxy that is the farthest away would be the youngest.

Small clouds of stars and dust whirling across space are considered to give origin to galaxies. Gravity propels these items careening into one another as additional clouds approach, knitting them into bigger spinning packs. From this expalation, we know that the most distant galaxy is the youngest galaxy.

The majority of galaxies are between 10 and 13.6 billion years old. Because our universe is around 13.8 billion years old, most galaxies formed when the cosmos was very young! Astronomers estimate that our Milky Way galaxy is 13.6 billion years old. GN-z11 is the youngest and the farthest galaxy discovered by Astronomers.

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The velocity v of the particle of mass m that starts from rest at position x = 0 and time t = 0 and moves along the positive x-axis under the influence of a single force Fx = bt, where b is a constant is b t² / 2 m

F = m a

a = dv / dt

F = Force

m = Mass

a = Acceleration

dv = Change of velocity

dt = Change of time

F = m dv / dt

Fx = bt

m dv / dt = bt

dv = ( b / m ) t dt

Integrating on both sides,

v = b t² / 2 m

Therefore, the velocity v of the particle is given by b t² / 2 m

The given question is incomplete. The complete question is:

A particle of mass m starts from rest at position x = 0 and time t = 0. It moves along the positive x-axis under the influence of a single force Fx = bt, where b is a constant. The velocity v of the particle is given by b t² / 2 m

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The magnitude of the force exerted by the girl on the woman is 100 N .

Given,

m₁ = 80 Kg

m₂ = 30 Kg

F1 = 100 N

F₂ = ?

By applying Newton's third law of motion, the force exerted by the girl is equal  in magnitude  to the force exerted by the boy but in opposite direction.

F₁ = F₂

F₁ = m₁ × a₁

F₂ = m₂ × a₂

∴ 100 = 80 × a₁

∴ a₁ = 100 / 80

∴ a₁ = 1.25 m/s

we know,

m₁ × a₁ = m₂ × a₂

∴ 80 × 1.25 = 30 × a₂

∴ 100 = 30 × a₂

∴ a₂ = 100 / 30

∴ a₂ = 3.33 m/s

Therefore,

F₂ = m₂ × a₂

∴ F₂ = 30 × 3.33

∴ F₂ = 100 N

Hence, the magnitude of the force exerted by the girl on the woman is 100 N .

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A straightforward pendulum with a period of one second will be 0.25 meters, or 25 cm, long.

Please feel free to explore how the pendulum would function on different planets, but we'll use the Earthly value of 9.80665 m/s2 for our calculations. Use the formula above to get the oscillation period: T = 2π√(L/g) = 2π * √(2/9.80665) = 2.837 s . As the period's reciprocal, determine the frequency: f = 1/T = 0.352 Hz .

The length of the string and gravitational acceleration are two elements that can alter a pendulum's period.

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Answer:

[tex] \Huge{\bold{20 Hz}} [/tex]

Explanation:

The frequency of the wave given it's velocity and wavelength can be found by using the formula

[tex] frequency = \frac{v}{ \lambda} [/tex]

where [tex] \lambda [/tex] is the wavelength

From the question

v = 500 m/s

[tex] \lambda [/tex] = 25 m

We have

[tex]f = \frac{500}{25} = 20 \\ [/tex]

We have the final answer as

Hope this helps you