The upper leg applies the exact same amount of force on the knee as the tendon applies on the lower leg. f = 215.6 N
This is only logical as the net result of these forces is the canceling out and the leg staying stable in its position.
The magnitude of a force is how much it accelerates the object it acts on and is represented by a scalar. Size can also be viewed as a strength. Riding a bicycle is a simple example of force magnitude. It is a simple machine that converts human-supplied energy into kinetic energy.
The force exerted on the pedal results in the formation of energy. Work is done to convert this energy into kinetic energy and move the bicycle forward. Force magnitude describes the sum of all forces acting on an object. If all forces act in the same direction the force magnitude increases. If forces act on an object in different directions the magnitude of the force will decrease.
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the cessna cardinal, a single-engine light plane, has a wing area of 16.2 m2 and an aspect ratio of 7.31. assume the span efficiency factor is 0.62. if the airplane is flying at standard sea-level conditions with a velocity of 300 km/h, what is the induced drag when the total weight is 9800 n?
The induced drag coefficient of the plane is 0.0067
What is induced drag?In aerodynamics, drag caused by lift, induced drag, vortex drag, or drag due to lift is the aerodynamic drag that occurs when a moving object redirects the airflow coming over it.
Given,
Weight (w) = 9800 N
Wing area (A) = 16.2 m²
Span efficiency factor (E) = 0.62
Zero-lift drag coefficient (CD0) = 0.03
Velocity (v) = 725 km/h = 300 km/h or 83.34 m/s
Density of air (p) = 1.225 kg/m³
Aspect ratio (AR) = 7.31
W = ¹/₂ pv²×A×Cl
Cl = lift coefficient
Cl = 2w/pARv²
Cl = 2×9800/1.225×7.31×83.34²
Cl = 0.31
Coefficient of induced drag (Cdi) = Cl²/π×E×AR
Cdi = 0.31²/3.14×0.62×7.31
Cdi = 0.0067
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you are given a solenoid of length 0.6 m and radius 0.08 m. it has 4000 turns of wire with resistance of 0.10 ohms. you wish to generate a magnetic field of 0.15 t. the current to which your power supply should be set is closest to:
Alternating current is also known as mains power, domestic power supply, domestic power supply, mains power supply, or wall power supply, as it is the voltage supplied by the outlet.
The rate of change of direction is typically 50 to 60 times per second and is called hertz (Hz). There are three main types of power supplies.
Uncoordinated (also known as brute force), Linear Coordinated, and Switching. A fourth type of power circuit, called ripple regulation, is a hybrid of "brute force" and "switching" designs and deserves its own subsection. One way to tell if you're using an AC-DC adapter or a DC-DC model is to check the device itself. Input and output information is often displayed somewhere in the interface. If the input is AC, it is an AC-DC power supply; if both input and output are DC, it is a DC-DC model.
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You push a lawn mower across a level yard at constant velocity. You exert a
force of 75 N along the handle that makes a 43° angle with the horizontal.
What is the force of friction between the mower and the ground?
Answer:
Explanation:
11.535 newtons
A sine wave is offset 1/6 cycle with respect to time 0. What is its phase in degree and radians?.
The phase in degree and radians is 2π/6 radian.
Solution:
1/6 cycle
1/6 cycle = 1/6 × 2π = 2π/9 radian
Phase angles are measured in radians. A radian is an angle whose arc length equals its radius. One rotation is equivalent to 2π radians or 360 degrees. In electronic signals, phase is the position of the wave at a particular point in time in the waveform cycle. It measures exactly where the wave is within its cycle.
Phase is the position of the instant in the cycle of the waveform. Phase is a dimensionless quantity. A complete cycle is called a phase. Phase is also expressed in radians. Phase is a measure of the relative time difference between two sine waves. Phase is actually a time difference but is most often measured in degrees or radians.
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To get school school a girl walks 1km north in 15 minutes she then walks 200 meter south west in 160 seconds what is the girl's average velocity for her walk to school ?
Answer:
v=1.132m/s
Explanation:
velocity=total distance/ total time
first convert 1km to m so that would be 1000m then add the total distance so 200+1000=1200. 1200 is the total distance. now add the total time so we need to convert 15 min to sec which is 900 sec. 160 +900=1060. now divide total distance by total time.
v=?
d=1200m
t=1060s
v=d/t
v=1200m/1060s
v=1.132m/s
If the acceleration is constant and the starting velocity is zero, what is the relationship between the acceleration of a falling body (a), the time it takes to fall (t), and its instantaneous velocity when it hits the ground (v)?.
The relationship between acceleration velocity and time is v(t)=at.
What is velocity?
The speed of something in a given direction.velocity is the directional speed of to an object in motion as an indication of its rate of the change in position as in observed from a particular to frame of reference and it's as measured by a particularly standard of time.
Sol-As per the newton's first law of motion.
Vt= vo+at
Here,
Velocity at time t is v(t).
Initial velocity is vo.
Accelaration is a and the time is t.
The initial velocity is zero.Put the 0 for vo in above equation.
v(t) = 0+at
v(t)= at
Thus, the aceelaration of a falling body (a), the time it takes to fall (t), and its instantaneous velocity when it hits the ground.
(V) is v(t) = at.
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A 1. 0 newton metal disk rests on an index card that is balanced on top of a glass. What is the net force acting on the disk?.
A 1.0 N metal disk rest on an index card that is balanced on the top of the glass, then the net force acting on the disk is 0 N.
What is Force?A force in physics is an effect that has the power to alter an object's motion. A mass-containing object's velocity can alter, or accelerate, as a consequence of a force. Intuitively, a push or even a pull can also be used to describe force. Being a vector quantity, a force also has magnitude and direction. The SI unit of newton is often used to measure it (N). The letter F stands for force.
As per Newton's second law's initial conception, an entity's net force is equal to the speed at which its momentum is changing over time.
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A line that intersects two or more lines in a plane at different points is called a?.
Answer:
transversal
Explanation:
or transverse line
A 3. 5 kg bowling ball is rolling in a straight line. If its momentum is 14 kg * m/s , how fast is the bowling ball traveling?.
Answer:
4 m/s
Explanation:
momentum = m v
14 = 3.5 * v
v = 14/3.5 = 4 m/s
the largest magnetic quantum number (m or ml) of an atom in the ground state is found to be 8. what must be the largest angular momentum quantum number (l)?
The angular momentum quantum number / azimuthal quantum number for the magnetic quantum number of 8 is 7/2
The magnetic quantum number of the atom = 8
The azimuth (or orbital angular momentum) quantum number describes the shape of a particular orbital. This is denoted by the symbol 'l' and its value is equal to the total number of angular nodes in the trajectory. Azimuthal quantum number values can indicate either s, p, d, or f subshells with different shapes.
The angular momentum or azimuthal quantum number can be found using the formula,
m = 2l + 1
where m is the magnetic quantum number
l is the azimuthal quantum number
Let us substitute the known values in the above equation, we get
8 = 2l + 1
2l = 8 -1
2l = 7
l = 7/2
Therefore, the angular momentum quantum number is 7/2
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What net force is necessary to accelerate a 300 kg object at 3m.s^-2?
Answer:
900 N
Explanation:
Simple to remember formula:
F = m * a
= 300 * 3 = 900 N
Two carts, a and b, are connected by a rope 39 ft long that passes over a pulley p. Two carts on a horizontal surface are connected by a rope that passes over a pulley. The distance between the pulley p and the point q on the horizontal surface is 12 ft. Cart a is to the left of point q, and cart b is to the right of point q. Both carts are traveling from right to left. The point q is on the floor 12 ft directly beneath p and between the carts. Cart a is being pulled away from q at a speed of 4 ft/s. How fast (in ft/s) is cart b moving toward q at the instant when cart a is 5 ft from q? (round your answer to two decimal places. ).
The velocity of cart B is 1.73 ft/sec moving towards Q at instant when cart A is 5 ft away from Q .
We have given in question that,
length of rope (l) = 39 ft
the distance between pully point P and horizontal point Q = 12 ft
velocity of cart A = 4 ft/sec
let a = position of cart A relative to Q =0
b = position of cart B relative to Q =0
we want to find out value of db/dt when a = 5 ft .
da/dt = velocity of cart A = 4 ft/sec
Now, consider right angle triangle PQB,
(PB)² = 12² + b² ---(1)
(PA)² = 12² + a² (right angle triangle PQA)
39 = (PA)² + P² = √144+b² + √ 144+a²
so, 39 = √144+b² + √144+ a² ---(2)
differenating equation (2) with respect to time t
we get,0 = b/√144+b² × db/dt + a/√144+a² ×da/dt -----(3)
from equation (2) put a = 5 (given)
39 = √144+b² + √144+25 = 13 + √144+b²
144 + b² = (39-13)² = 676 => b² = 532
=> b = +√532 , b= -√532 but b is on negative side of Q= 0 so, b = -√532
Now, putting value of b, a, da/dt in equation (3)
0 = (-√532 /√144+532 )× db/dt + (5√144+25 )× 4
=> 0 = (-√532/26) × db/dt + 20/13
=> db/dt = ( 20/13 )(26/√532) = 40/√532
= 1.73 ft/sec
Hence , the velocity of cart B moving towards Q is 1.73 ft/sec when cart A is 5 ft away from point Q.
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How do you find the frequency of a radio wave with wavelength?.
The frequency of a radio wave with a wavelength: Frequency of oscillation x wavelength = speed of light
If we have other measurements we can use this relationship to find the wavelength or frequency of the electromagnetic wave. Just divide the speed of light by the measurement you have and you'll get the other.By counting the number of wavefronts that pass a fixed point in a second or so, you can measure the frequency of a wave.
The higher the number the higher the wave frequency. Natural sources of radio waves include astronomical radio sources in space, such as the sun, galaxies, and nebulae as well as radio noise generated by lightning and other natural processes in the Earth's atmosphere. All warm objects radiate high frequency radio waves as part of their black body radiation.
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Type your answer in the box. You may use numbers and/or a negative sign (-) in your answer. What is the difference in kilowatt hours of monthly energy production between an average local wind speed of 15 miles per hour and an average local wind speed of 10 miles per hour?.
The difference in kilowatt-hours of monthly energy production between an average local wind speed of 15 miles per hour and an average local wind speed of 10 miles per hour is 5 miles per hour.
Energy production refers to how a lot of number one power a country extracts from nature. that is the whole of all of the harvested number one fuels and number one energy flows. word manufacturing ignores both imports and exports, and sums up what's extracted from nature.
In modern-day wind generators, wind rotates the rotor blades, which convert kinetic energy into rotational energy. This rotational power is transferred with the aid of a shaft to the generator, thereby producing electrical power.
Calculation:-
local wind speed of 15 miles per hour.
an average local wind speed of 10 miles per hour.
Therefore difference = 15 - 10
= 5 miles per hour.
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What would happen to the gravitational force felt between two objects if the radius between them were doubled?.
The gravitational force is reduced by a factor of 4 and the distance between two objects is doubled when the radius between them is increased by a factor of 2.
The gravitational force attracts mass-containing objects to one another. We frequently reflect on the gravitational pull of the Earth. This force keeps your body rooted to the ground. In light of the fact that the gravitational force is inversely proportional to the mass of the two interacting objects, heavier objects will be drawn by stronger gravitational forces. The gravitational pull between two objects therefore increases as their relative masses do.
The radius of a circle is the separation from its centre to its edge. Always, the radius is half as big as the diameter. To obtain the formula, multiply the diameter by two.
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What force causes centripetal acceleration of a car making a turn on a flat road?
The force that causes centripetal acceleration of a car making a turn on a flat road is friction
The centripetal acceleration is required to create a centripetal force. The centripetal force that cause an object to turn in a circular path is due to the force of friction between the tyres and the road. The magnitude of centripetal force is numerically equal to the magnitude of frictional force.
Fc = f
m v² / r = μ N
Fc ∝ 1 / r
The larger the centripetal force the the smaller the radius of curvature.
Therefore, the force that causes centripetal acceleration of a car making a turn on a flat road is friction
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Tony wants to figure out which materials conduct heat better than others. To do this, he fills cups that are made out of different materials with equal amounts of ice water. He then keeps track of how much time it takes the ice to completely melt in each cup. His results are below.
Time for Ice to Melt
Cup Material Time to Melt
plastic 32 minutes
glass 21 minutes
aluminum 15 minutes
foam 38 minutes
Which material was the best conductor of heat?
The material that is the best conductor of heat is aluminum which takes 15 minutes to melt the ice water.
Time taken by different materials to melt ice,
Plastic = 32 minGlass = 21 minAluminum = 15 minFoam = 38 minThe order of better conductors is,
Aluminum > Glass > Plastic > Foam
A conductor is a material that allows heat and current to flow through without any resistance. The better the conductor lesser will be the resistance. Metals are good conductors.
Therefore, the best conductor of heat is aluminum
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The random variable x is known to be uniformly distributed between 70 and 100. The probability of x having a value between 80 to 95 is.
The probability density function (pdf) for the uniform distribution has the basic formula: f(x) = 1/ (B-A) for A x B.
A continuous probability distribution, the uniform distribution is concerned with equally likely outcomes. It is referred to as having a rectangular distribution on the interval [a,b] or having a uniform distribution for the continuous random variable X. Above is a representation of the probability density function of a continuous uniform distribution. The probability of drawing a heart, club, diamond, or spade is equally likely; hence, the area under the curve is 1, which makes sense given that the total of all probabilities in a probability distribution is 1.
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A force is applied to a 2. 2 kg mass and pro- duces 2. 8 m/s² acceleration. 2 What acceleration would be produced by the same force applied to a 9. 1 kg mass? Answer in units of m/s².
The acceleration would be produced by the same force applied to a 9. 1 kg mass is 0.68 m/s².
Newton's second law states, the acceleration of an object depends directly on the net force acting on the object, and inversely on the mass of the object. The formula F = ma
F = force (Newton)m = mass of the object (kg)a = acceleration (m/s²)Perimeter
Mass of the first object = m₁ = 2.2 kgAcceleration of the first object = a₁ = 2.8 m/s²Mass of the second object = m₂ = 9.1 kgThe same force applied to both objects F₁ = F₂F₁ = F₂
m₁ × a₁ = m₂ × a₂
2.2 × 2.8 = 9.1 × a₂
6.16 = 9.1 × a₂
[tex]a_2 = \frac{6.16}{9.1}[/tex]
a₂ = 0.68 m/s²
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A loop of wire is placed in a uniform magnetic field. For what orientation of the loop is the magnetic flux a maximum? for what orientation is the flux zero?.
The correct answer is a) magnetic flux is maximum when the plane of the loop is parallel to the magnetic field. B) magnetic flux is zero, when the plane of the loop is perpendicular to the magnetic field.
What is uniform magnetic field?
The field lines must be both parallel and equally spaced in order for the region under examination to have a uniform magnetic field, which must have the same strength and direction throughout.
Hence the loop's plane is parallel to the magnetic field when the magnetic flux is at its highest (answer a). When the plane of the loop is parallel to the magnetic field, the magnetic flux is zero. (answer b)
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a 12.0-kilogram cart is moving at a speed of 0.25 meter per second. after the speed of the cart is tripled, the inertia of the cart will be
To known the speed and inertia of the cart.
What is inertia?
Matter has an attribute called inertia that makes it resist changes in velocity (speed and/or direction). Newton's first law of motion states that an object moving at a certain speed will stay there unless it is acted upon by an outside force.
What constitutes speed?
The speed of a change in an object's position in any direction Speed is defined as the ratio of distance to the amount of time it takes to cover that distance. Due to its lack of magnitude and only having a direction, speed is a scalar quantity.
Inertia of a cart is only dependent on the mass of the cart .
Mass of the cart , M = 12 Kg is moving at speed 0.25 m/s , speed of the cart is tripled but mass remains same , so that means inertia of the cart will be unchanged.
Therefore, the inertia of the cart is will be unchanged.
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Consider two carts moving on a track. The first cart has a mass of m, and the second cart has a mass of 3m. The first mass is moving at a velocity v towards the second, which is stationary.
The first mass is moving at a velocity v towards the second, [tex]\frac{3}{2} mv[/tex] is stationary.
impulse imported to cart 1 = change in momentum
=|ΔP| = [tex]p_{f}[/tex] - [tex]p_{i}[/tex]
=m([tex]\frac{-v}{2}[/tex]) - (mv)
=[tex]\frac{-3}{2} mv[/tex]
Magnitude of impulse = [tex]\frac{3}{2} mv[/tex]
Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time (for example, 60 km/h northbound). In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a fundamental idea.
A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined. Speed is the scalar absolute value (magnitude) of velocity; it is a coherent derived unit whose quantity is measured in metres per second (m/s or m/s1) in the SI (metric system). In contrast to "5 meters per second east," which is a vector, "5 meters per second," for instance, is a scalar.
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The specific volume of a substance is the volume per gram of substance. It is an example of.
Using the concepts of Extensive and Intensive Properties, we got The specific volume of a substance is the volume per gram of substance. It is an example of physical extensive property.
Physical characteristics of matter are classified into two types: intense properties and extended properties.
An extensive property is a property that is affected by the amount of materials in a sample. Mass and volume are the two examples of extensive characteristics. An intense property is a property of matter that is determined only by the kind of matter in a sample and not by its quantity.
All the specific properties are extensive properties. It can be understood with the example of a specific volume, which is defined as the volume per gram of substance. Therefore, it includes mass.
Thus, it is an extensive property.
Hence, The specific volume of a substance is the volume per gram of substance. It is an example of physical extensive property.
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If the current in a a wire is 2. 0 amperes and the voltage across the wire is 10 volts, what is the resistance of the wire?.
Answer:
5 ohms
Explanation:
V = IR
V/I = R 10 / 2 = 5 Ω
an orthopedic drill uses circular motion to cut a hole in bone. this is an example of what type of energy?
Orthopedic drill is an example of a type of kinetic energy. It uses circular motion to cut a hole in bone.
Orthopedic drillOrthopedic drill is for traumatology cases, and hand-foot surgery, with a wide range of attachments for various applications (punching holes, saws, attaching screws, installing wires, and widening holes), and a powerful and reliable handpiece.
It uses circular motion by rotating on a circular axis due to a change in potential energy into kinetic energy which gives enough speed to make a rotation.
In an orthopedic drill, there is a change in electrical energy into motion energy (kinetic energy).
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f the acceleration voltage in a television tube is 13.2 kv , what are the shortest-wavelength x rays produced by the television?
1.016 nm is the shortest-wavelength x rays produced by the television
E = hc/λ
13200×1.6×10-19 = 6.62×10-34 ×3×108 /λ
2.11×10^-17=2.144×10^-31/λ
λ = 1.016 nm
Since the relationship between wave frequency and wavelength is inverse, gamma rays have extremely tiny wavelengths that are only a small portion of the size of atoms, whereas other wavelengths can extend as far as the universe. No of the medium they are passing through, electromagnetic radiation's wavelengths are typically expressed in terms of the vacuum wavelength, but this isn't always stated explicitly.
The wavelength of electromagnetic radiation affects how it behaves. Speed of light = wavelength x frequency Energy = Planck's constant x frequency Wave number = 1/wavelength in cm. The wavelengths of different parts of the electromagnetic spectrum are displayed together with a rough approximation of the wavelength size.
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What is projectile motion name the two components of projectile motion?.
A planar motion known as a projectile occurs when at least two position coordinates change at once. The following two elements can be separated out of the projectile's projection velocity.
ux = u cosαuy = u sinФDue to the horizontal component of the projection velocity, u cosα, and the vertical component, u sinФ, the projectile moves along the horizontal and vertical directions. So that the projectile's distances along the X and Y axes are given by x and y, respectively, let's assume that at any time t, it reaches the point P.Motion in a horizontal direction: If air friction is ignored, the velocity's horizontal component is i. e. , u cosα will not change. Thus Initial horizontal velocity is given by the formula ux = u cosα. acceleration parallel to the ground, ax = 0.Vertical motion is described as follows:The gravitational effect of gravity causes the projectile's vertical velocity to continuously decrease.
Initial vertical velocity is given by ux = u sinФ.
Ay = -g for acceleration along the vertical.
A projectile's motion can be broken down into two parts because it is a two-dimensional motion both vertical and horizontal motion Independent of one another, these two motions occur. The horizontal and vertical components of the projectile's velocity can be separated into two mutually perpendicular parts.Velocity changes as a result of acceleration. A direction's velocity does not change if acceleration in that direction is zero. The horizontal component of velocity in projectile motion therefore stays constant throughout the motion. A uniform motion can be described as being horizontal.Since the vertical components are continuously impacted by gravity, the vertical motion is uniformly accelerated. This is how projectile motion physics works.To know more about projectile motion-
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a star is seen to move by 0.2 seconds of arc between february 1, 1999 and august 1, 1999 and then back to its starting point on february 1, 2000. what is the parallax angle for this star?
The parallax angle for this star is 0.1 seconds of arc.
Parallax angle How astronomers use angle measurements to calculate distances in space. The parallax angle is the angle between the Earth one season of the year and the Earth six months later, as measured from a nearby star. Astronomers use this angle to determine the distance of this star from Earth.
Parallax is based on an optical illusion. Because the human eye perceives nearby objects as larger than distant objects, distant objects appear to move slowly. The illusion has long been translated into parallax in various media to facilitate realistic effects. Parallax is a method based on measuring the two angles and sides of the triangle formed by the star and the Earth after 6 months.
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what type of x-ray machine includes pieces of high-resolution fixed x-ray equipment that allow physicians to diagnose and perform surgery in a minimally invasive manner?
Standard computed tomography X-rays are a type of x-ray machine that includes pieces of high-resolution fixed x-ray equipment that allow physicians to diagnose and perform surgery in a minimally invasive manner.
X-ray imaging equipment includes X-ray machines. Since many years ago, X-rays, a type of electromagnetic radiation, have been employed in the medical industry. With the help of this technology, we have been able to see images of our internal organs, including the heart, lungs, and even bones. Electromagnetic radiation such as X-rays can reflect off a variety of materials. Some substances have a high density, whilst others have a low density.
Standard computed tomography X-ray machines are employed for airport security as well as in the medical industry.
These X-rays can image a variety of body areas, including bones, skin, lungs, and the heart, due to their strong X-ray radiation power. Additionally, CT scans are frequently used in X-rays to image organs like the brain that are invisible to traditional X-rays.
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A filament bulb, rated at 40W, converts 10% of its electrical energy supply to light energy. Calculate the quantity of light energy emitted in five minutes
The quantity of light energy emitted at 40W, in five minutes or 300 seconds will be 1200J.
Equation:
40 W total power
40 W = 40 J/s (joules per second)
10% efficiency
Efficiency x Power Equals Actual Power output
40x0.1 = 4W
Power x Time Equals Energy
300 s x 4 W = 1200 J
Energy of Light = 1200 J
Things like stars, lightbulbs, lasers, and hot objects all emit light energy. Light energy travels from stars like our Sun to the Earth. A natural source of light energy is the Sun.
The electromagnetic spectrum is much larger than the light we can see, which is made up of each hue in the rainbow. Other forms of light include those that are invisible to the human sight, such as radio waves, microwaves, infrared radiation, ultraviolet rays, X-rays, and gamma rays.
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