when did agriculture first began?​

556 nm is the wavelength of radiation that has a frequency of 5.39 × 10⁻¹⁴ s⁻¹.

The energy that emanates from a source and moves through space at the speed of light is referred to as radiation. This energy has wave-like qualities and is accompanied by an electric field and a magnetic field.

Examples include solar heat or light, microwaves from an oven, X-rays from an X-ray tube, and gamma rays from radioactive materials. Atoms can be ionized, or removed from their electrons, by ionizing radiation.

Given that:

frequency (f) = 5.39 × 10⁻¹⁴ s⁻¹

Velocity of light (c) = 2.9979 × 10⁸ m/s

As we know,

   λ = c/f

or, λ =(2.9979 × 10⁸ m/s)/(5.39 × 10⁻¹⁴ s⁻¹)

or, λ = 5.56 × 10⁻⁷m

or, λ = 556 nm

Thus, the wavelength = 5.56 × 10⁻⁷m or 556 nm.

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Here, 120m far will the car skid with locked brakes if it were traveling at 150 km/hr.

Correct option is D. 120m.

The distance a car will skid when brakes are locked is directly dependent on its speed. To illustrate this, if a car travelling at 50 km/hr with locked brakes skids 20 m, then if the same car were travelling at 150 km/hr, then it would skid 120 m.

This is because the faster the car is travelling, the greater its kinetic or momentum, and the longer distance it will skid when brakes are locked. Momentum is the product of speed and mass, and upon braking, kinetic energy is converted to friction to reduce speed.

A locked brake does not convert energy to friction, it merely prevents any further change of speed, so the distance the car skids is a function of the momentum it has prior to locking the brakes. This example shows that the longer distance the car skids is directly related to the speed it had prior to braking.

Correct option is D. 120m.

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The Speed of water flowing by 2.76 diameter is 0.1634m/s.

Given -

Diameter= 2.76cm

Amount = 20l

time= 1.15 min

The flow of water is continuous and remains unaffected with distribution of mass.

To compute the speed of the water leaving the end of the hose-

V= 2.76 + 1= 3.76cm

For 20 l equivalent length is 3.76cm

For 1 l equivalent length(x) = 3.76/20

x= 0.188

\(Speed = distance /time\)

= 0.188/1.15

=0.1634m/s

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Answer:

Light is electromagnetic radiation that has properties of waves. The electromagnetic spectrum can be divided into several bands based on the wavelength. As we have discussed before, visible light represents a narrow group of wavelengths between about 380 nm and 730 nm.

OR

The primary properties of visible light are intensity, propagation-direction, frequency or wavelength spectrum and polarization, while its speed in a vacuum, 299 792 458 m/s, is one of the fundamental constants of nature.

Answer:

a

Explanation:

light can not pass through it completely

At position (3, 9), where the tangent line passes through, Han Solo should turn off the engines (4, 15).

The first three things need to be completed, or at least started, right away: Fly the aircraft as you instantly apply full carb heat and check the gasoline in both or one of the tanks, hit the fuel boost or pump, and mix the fuel to full richness.

Finding the tangent line to the curve y = x2 at that location will help us determine when Han Solo should turn off the engines.

The derivative of the function determines the slope of the tangent line at any point on the curve y = x2.: dy/dx = 2x

Han Solo should turn off the engines at position (x1, y1). Next, we have

y1 = x1^2 (since the point is on the curve y = x^2)

dy/dx = 2x1 (since this is the slope of the tangent line at (x1, y1))

The equation of the tangent line via (4, 15) can be expressed using the point-slope form of a line as follows:

y - y1 = m(x - x1)

Substituting y1 = x1^2 and m = 2x1, we get:

y - x1^2 = 2x1(x - x1)

Now, we can substitute the coordinates of the point (4, 15) to solve for x1:

15 - x1^2 = 2x1(4 - x1)

15 - x1^2 = 8x1 - 2x1^2

x1^2 - 8x1 + 15 = 0

This quadratic equation can be factored as:

(x1 - 3)(x1 - 5) = 0

Therefore, the possible values of x1 are 3 and 5.

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According to Newton's third rule of motion, whenever a first object applies a force to a second object, the first object feels a force that is both equal to and opposite from the force that it applies.

What is Force?

In physics, a force is an influence that can change the motion of an object. A force can cause a mass object's velocity or acceleration to change. Force can be described intuitively as a push or a pull. Because it has both magnitude and direction, a force is a vector quantity.

To find the work done by friction over the full length of the roller coaster, you will need to calculate the force of friction acting on the marble over the entire track. The force of friction can be calculated using the formula: F = μ * N, where μ is the coefficient of kinetic friction and N is the normal force. Once you have calculated the force of friction, you can then calculate the work done by multiplying the force of friction by the distance travelled. The formula for work is W = F * d, where F is the force of friction and d is the distance travelled.

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To accurately observe and confirm that there is no change in the position of the moon at a set time on successive days, a technique involving a fixed sighting point, a meter stick, and a protractor can be employed. By measuring the moon's angle relative to the fixed sighting point and comparing it over multiple days, any noticeable change in position can be detected.

The technique involves selecting a fixed sighting point, such as a prominent tree or building, and marking it as a reference point. Using a meter stick, the distance between the sighting point and the observer is measured and noted. A protractor can then be used to measure the angle between the line connecting the sighting point and the observer and the line connecting the sighting point and the moon.

At the desired time on successive days, the observer positions themselves at the same location as before and measures the angle between the sighting point and the moon using the protractor. By comparing the measured angles over multiple days, any significant changes in the moon's position can be observed. If the measured angles remain consistent within a reasonable margin of error, it can be concluded that there is no substantial change in the position of the moon at the set time on successive days.

This technique helps provide a quantitative measurement of the moon's position relative to a fixed reference point, allowing for accurate observation and confirmation of the moon's stability in its position at a given time on successive days.

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Answer: Speed can equal to velocity, even though they have different formulas.

Explanation: Speed is the rate at which an object covers distance or how much space the object passed, which is usually measured in miles, meters, or kilometers. Velocity is the rate at which the position changes. Therefore, speed is and can equal to velocity.

Formulas:

Speed = distance/change in time

Velocity = change in distance/ change in time

Given :

Father drove 176 km in 7 hours.

For the first 92 km he spent for 4 hours.

To Find :

His average speed for the remaining journey .

Solution :

\(v_{avg}=\dfrac{u_1+u_2}{2}\\\\v_{avg}=\dfrac{u_1}{2}+\dfrac{u_2}{2}\\\\\dfrac{176}{7}=\dfrac{92}{4\times 2}+\dfrac{u_2}{2}\\\\\dfrac{u_2}{2}=\dfrac{176}{7}-\dfrac{92}{8}\\\\u_2=13.64\times 2 \ km/h\\\\u_2=27.28\ km/h\)

Therefore , his average speed for the remaining journey is 27.28 km/h .

Hence , this is the required solution .

Answer:

0.45m/s

Explanation:

Given parameters:

Distance = 1.8m

Time  = 4s

Unknown:

Speed of the car  = ?

Solution:

The speed of a body is the distance divided by the time.

       Speed  = \(\frac{distance}{time}\)  

So;

     Speed  = \(\frac{1.8}{4}\)   = 0.45m/s

Answer:

It is an exact number ........

Answer:

What is the figure? please provide

Recording the voltage level of an audio signal at regular intervals is called sampling.

This process involves taking measurements of the audio signal's voltage level at a fixed rate, typically measured in kilohertz (kHz), and converting those measurements into digital values. The resulting series of digital values can be used to recreate the original audio signal, with greater or lesser fidelity depending on the sampling rate and the resolution of the digital values.

Sampling is a critical process in digital audio recording, as it allows for the storage and manipulation of audio data in a way that is compatible with modern computing systems and devices. It is not the same as peak analysis, which involves identifying the highest point in a signal, or pulse-code modulation (PCM), which is a specific method of digital audio encoding.

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The long-range forces acting on the crate while being pulled up a rough, inclined wood board are: normal force, weight, tension, and static friction.

1. Normal force: This force acts perpendicular to the inclined board and opposes the weight component along the plane.
2. Weight: The gravitational force acting on the crate, which points vertically downward.
3. Tension: The force exerted by the tow rope, which pulls the crate up the inclined plane.
4. Static friction: This force acts along the inclined plane, opposing the crate's motion, and helps prevent it from sliding back down.

In summary, when a crate is pulled up a rough, inclined wood board, the long-range forces acting on it are normal force, weight, tension, and static friction. These forces help maintain the crate's stability and enable it to move up the incline.

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Answer:

magnitude and a direction

Explanation:

The force winds up unchanged, at 100 N.

The top will take approximately 16.15 seconds to stop spinning.

ω_f = ω_i + αt

where ω_f is the final angular velocity, ω_i is the initial angular velocity, α is the angular acceleration, and t is the time taken.

At the start, ω_i = 8.4 rev/s, α = -0.52 rev/s/s (negative because it's decelerating), and we want to find t when ω_f = 0 rev/s.

0 = 8.4 rev/s + (-0.52 rev/s/s) t

0 = t(8.4 rev/s - 0.52 rev/s/s)

t = (8.4 rev/s) / (0.52 rev/s/s)

t = 16.15384615 s

Angular velocity is a concept in physics that describes the rate at which an object rotates around a fixed axis or point. It is measured in radians per second (rad/s) or degrees per second (deg/s).

Angular velocity can be calculated by dividing the angle rotated by the time taken to rotate that angle. It is a vector quantity, which means it has both magnitude and direction. The direction of the angular velocity vector is perpendicular to the plane of rotation and follows the right-hand rule.

Angular velocity is related to linear velocity, which is the rate at which an object moves in a straight line. The linear velocity of a point on a rotating object is proportional to the distance of that point from the axis of rotation and the angular velocity of the object.

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Answer:

the forces are proportional to their areas of application

Explanation:

In a hydraulic jack, Pascal's principle is used, that the pressure in an incompressible liquid is the same at the same height, whereby the pressure on both sides of the jack are the same

           P₁ = P₂

the pressure is defined by

            P = F / A

we substitute

           \(\frac{F_1}{A_1} = \frac{F_2}{A_2}\)

           F₂ = \(\frac{A_2}{A_1} \ F_1\)

therefore the force is F₂> F₁

Therefore the forces are proportional to their areas of application

The ball will travel more distance when projected or kicked at an angle of 35 degrees.

The range of the projectile or the horizontal distance traveled by the ball is calculated by applying the following kinematic equation as shown below.

R = ( u² sin (2θ ) ) / g

where;

The horizontal distance traveled by the ball when projected at 35 degrees is calculated as;

R = ( 13.9² x sin ( 2 x 35 ) ) / ( 9.8 )

R = 18.53 m

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A graphite rod in a wood or metal holder is commonly referred to as a pencil. Pencils are widely used writing instruments that consist of a cylindrical graphite core encased in a wooden or metal barrel.

The graphite core is made of a mixture of graphite and clay, which provides the characteristic smoothness and darkness of the pencil's mark.

The wooden or metal holder serves as a protective and ergonomic casing for the graphite core, allowing for comfortable and controlled writing or drawing. Pencils are versatile tools used in various applications, including writing, sketching, drafting, and artistic pursuits.

They are easily sharpened to expose fresh graphite, making them a convenient and popular choice for many people's everyday writing and drawing needs.

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When a boxer is moving away from a punch, the force experienced is reduced because the impact time, or the duration of the impact, is increased.

When an object is in motion and is suddenly subjected to a force, the magnitude of the force depends on both the strength of the force and the time over which it is applied. The longer the impact time, the lower the average force experienced by the object.

By moving away from the punch, the boxer effectively increases the impact time, spreading out the force of the punch over a longer period of time and reducing the average force experienced. This is similar to the idea of a "glancing blow," in which a moving object experiences a reduced force if it is only partially hit, as opposed to being hit head-on.

This is why boxers often move away from punches and try to dodge them, rather than trying to absorb them head-on. By reducing the force of the punch, they can avoid being knocked out or seriously injured, and can stay in the fight.

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Answer:

heat?

Explanation:

The force due to gravity on a 41.63  kg object would be 408.39 N.

It can be defined as the force by which a body attracts another body towards its center as the result of the gravitational pull of one body and another,

The gravity varies according to the mass and size of the body for example the force of gravity on the moon is 1/6th times the force of gravity on the earth.

As given in the problem we have to calculate the force due to gravity on a 41.63 kg object.

Force= mass ×acceleration

The acceleration due to the gravity of the earth is 9.81 m/s²

Force = 41.63 ×9.81 N

         = 408.39 N

Thus, the force because of the gravity on a 41.63- kg object comes out to be 408.39 N.

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The rate at which his shadow is increasing in length is 0 m/s. The rate refers to the speed or pace at which a quantity or process changes over time.

To find the rate at which the man's shadow is increasing in length, we can use similar triangles.

Let's denote the height of the man as h, the distance between the man and the lamppost as x, and the length of the shadow as s. We have the following relationship between the similar triangles:

h / x = (h + s) / 5

Now, we can differentiate both sides of the equation with respect to time (t):

(dh/dt) / x = [(dh/dt) + (ds/dt)] / 5

Since the man's height (h) is not changing, dh/dt = 0. Therefore, the equation becomes:

0 / x = (0 + (ds/dt)) / 5

Simplifying further, we get:

0 = ds/dt / 5

This implies that the rate at which the man's shadow is increasing (ds/dt) is zero. The length of the shadow is not changing since the man's height and the distance between the man and the lamppost remain constant.

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(a) The final angular velocity of the flywheel after 3 complete revolutions is 4.96 rad/s.

(b) The time taken for the flywheel to make 3 complete revolutions is 5.93 s.

The final angular velocity of the flywheel after 3 complete revolutions is determined by applying third kinematic equation as shown below;

θ = 2π (rad/rev) x (3 rev) = 18.85 rad

ωf² = ωi² + 2αθ

ωf² = (1.4)² + 2(0.6)(18.85)

ωf² = 24.58

ωf = √24.58

ωf = 4.96 rad/s

The time taken for the flywheel to make 3 complete revolutions is calculated as follows;

ωf = ωi + αt

t = (ωf  - ωi)/α

t = (4.96 - 1.4)/0.6

t = 5.93 s

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The distance of the sound from the tuba is 4.82 m.

The area of the tuba is calculated as follows;

I = P/A

where;

A = P/I

A = 0.35 / (1.2 x 10⁻³)

A = 291.67 m²

Area = 4πr²

\(r = \sqrt{\frac{A}{4\pi} } \\\\r = \sqrt{\frac{291.67}{4\pi} } \\\\r = 4.82 \ m\)

Thus, the distance of the sound from the tuba is 4.82 m.

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Answer:  

t=2.59s

Explanation:

v=23.5m/s u=15.2m/s a=3.2m/s^2 t=?

using equation v=u+at t=(v-u)/a t= (23.5-15.2)/3.2=8.3/3.2=2.59s