Answer:
The pressure that skateboard put on ground is 2 250 000 Pa
Explanation:
We have,
Force (F)=900N, Area of single wheel=0.0001m2 but skateboard has four wheels so required area=0.0001x4
P = F/A Area = 4 wheels x 0.0001 m2 = 0.0004 m2 P = 900 N / 0.0004 m2 = 2 250 000 Pa=2250 kPa
Have you ever questioned the need for such sharp knives or the pointy ends on our nails? The idea of pressure holds the answers to each of these queries. It is the ratio between the force being applied and the surface area being applied to. The force delivered perpendicularly to an object's surface per unit area across which that force is dispersed is known as pressure. The SI unit of pressure is the pascal (Pa).
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A stone is released from a height of 80m above the ground. Calculate its velocity just before it strikes th ground
The velocity of the stone just before it strikes the ground is 39.6 m/s.
What is velocity?Velocity can be defined as the rate of change of displacement.
To calculate the velocity at which the bstone strikes the ground, we use the formula below.
Formula:
v² = u²+2gs.................... Equation 1Where:
v = Final velocityu = Initial velocityg = Acceleration due to gravitys = heightFrom the question,
Given:
u = 0 m/sg = 9.8 m/s²s = 80 mSubstitute these values into equation 1 and solve for v
v² = 0²+(2×9.8×80)v² = 1568v = √1568v = 39.6 m/sHence, the velocity is 39.6 m/s.
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based on this image alone, approximately how much of the galaxy's total mass is located within 5 kpc of the center, would you say?
The total mass of the galaxy within a radius of 5 kpc is approximately 3.25 billion solar masses.
A galaxy is a system of stars, remnants of stars, interstellar gas, dust, dark matter, bound together by gravity.
By using the equations of Newtonian mechanics, the total mass of the galaxy can be calculated by combining the mass of the stars, gas, dust, and dark matter within the 5 kpc radius.
The calculation can be made more accurate by adding in accurate estimates of the mass of the dark matter and other components of the galaxy.The total mass of a galaxy within a radius of 5 kpc can be calculated using the equation:
Mass = 2.3 x 10⁶ x (5 kpc)² x (1 solar mass/pc³)
Mass = 3.25 billion solar masses.
This calculation provided an approximate total mass for the galaxy, which is estimated to be 3.5 billion solar masses located within 5 kpc of the center.
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a runner has a mass of 89 kilograms. he produces a force of 84 newtons between the ground and his running shoes. how fast does he accelerate?
We can see the star sirius and its companion, the pup, moving around each other. careful measurement of this motion can provide: ___________
We can see the star Sirius and its companion, the pup, moving around each other. careful measurement of this motion can provide: the masses of both stars in the system.
A base jumper jumps off a cliff with a velocity of 2 m/s. How far does he fall after 10
seconds? (Show work please)
In actuality, an object's velocity rises by 9.8 m/s2, thus it reaches 9.8 m/s by the time it begins to fall.By the time it has been falling for 2 seconds (9.8 m/s plus 9.8 m/s), it is moving at 19.6 m/s, and so on.
How much can fall in a split second?Gravity will cause any object to move forward at a rate of 32 feet per second each second.
How do you calculate the length of a fall?Choose the length of the item's descent.We'll use an 8-second sample as our example.Its final free fall speed (just before it touches the earth) is calculated using equation v = v0 + gt = 0 + 9.80665 * 8 and equals 78.45 m/s.Find the free-falling distance using the formula s = (1/2)gt2: 0.5 * 9.80665 * 82 = 313.8 meters
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which has the greatest inertia
A. Jumbo Jet
B. Bird
C. Car
Answer:C car
Explanation:
two tuning forks having frequencies of 454 and 460 hz are struck simultaneously. what average frequency (in hz) will you hear?
The average frequency of the two forks will be 457 Hz.
Frequency:
In physics, frequency is the number of waves that pass a fixed point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences in a unit of time. When a body in periodic motion goes through a series of events or positions before returning to its initial state, it is said to have experienced one cycle or one vibration.
Average Frequency;
Mathematically,
[tex]f_{Avg}=\frac{f_{1}+f_{2} }{2}[/tex]
Given,
[tex]f_{1} = 454 Hz[/tex]
[tex]f_{2}=460 Hz\\[/tex]
Using the Average frequency formula,
[tex]f_{Avg}=\frac{f_{1}+f_{2} }{2}= \frac{454+460}{2}[/tex]
[tex]f_{Avg}=\frac{914}{2}[/tex]
[tex]f_{Avg}=457Hz[/tex]
Hence,
The average frequency of the two forks will be 457 Hz.
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a btu is defined as the amount of energy required to raise the temperature of one lb of water by one degree celsius group of answer choices true false
A BTU is defined as the amount of energy required to raise the temperature of one lb of water by one-degree celsius is False.
A British thermal unit is a measure of the amount of heat in a fuel or energy source. This is the amount of heat required to raise the temperature of 1 pound of liquid water by 1 degree Fahrenheit, the temperature at which water reaches its maximum density.
BTU is the amount of energy required to raise the temperature of 1 pound of water to 1 degree Fahrenheit above sea level. Technically, this measurement refers to the amount of energy required for this process when water is at its maximum density.
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ou are walking up an icy slope. suddenly your feet slip, and you start to slide backward. will you slide at a constant speed, or will you accelerate?
When climbing an ice slope. Your feet suddenly start to slip, and you begin to slither backward. Because the kinetic friction is greater than the maximum static friction, you will accelerate down the slope.
Kinetic friction - what is it?The resistance an object encounters while in motion as a result of contact between the surface and the thing moving against it is known as the kinetic friction force. Always acting in the opposite direction from the object's motion is the kinetic friction force. This explains why we often find that kinetic friction causes an object to move backward when we try to move it forward.
Static friction - what is it?An object moving along a path is resisted by a force known as static friction.
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Visible light has a higher frequency than radio waves on the electromagnetic spectrum. How does the wavelength of visible light compare to radio waves?.
The wavelength of visible light compare to radio waves in the sense that visible light waves have a shorter wavelength than radio waves.
What is wavelength?The wavelength is described as the spatial period of a periodic wave which is the distance over which the wave's shape repeats.
Radio waves are electromagnetic waves that are produced by man with an oscillating circuit.
Radio waves are used in broadcasting, the waves used in television are those of shorter wavelength and those of radio are those of longer wavelength.
Longer radions are reflected in the ionosphere and can be detected in antennas which is located at great distances from the emitting source. The medium waves are less reflected in the ionosphere, due to their large wavelength they can overcome obstacles, so they can travel great distances.
It is known that the visible radiation waves have a wavelength between approximately 400 and 700 nanometers, the radio waves range from 1 centimeter to 1 km, so they have longer wavelengths than the waves belonging to the visible spectrum.
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using your data, how are you able to determine if conservation of momentum occurs in each collision?
Momentum is conserved if the relative velocities before and after the impact are equal.
What does force momentum mean?In most cases, momentum is the quantity that describes the internal motion of any moving object. Force, on the other hand, is the quantity that modifies the degree of action existing when applied to any object. Momentum is the amount of energy contained within a moving item.
What does momentum within daily life actually mean?Momentum is the amount of motion, to put it simply. Quantity may be assessed in this scenario because if an object is moving and has mass, it has momentum. If something is stationary, it doesn't have momentum.
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30 points & not that hard
The town of Fairfield, Connecticut is located on the east coast of the United States and is proposing clean energy projects such as solar panel farms to help reduce
carbon dioxide emissions and reduce electrical power costs to the town. The town has created a Clean Energy Task Force to lead these projects. You are going to attend a town meeting to ask questions about their proposals to install solar farms in various locations such as the parking lots of local high schools and over a
former landfill.
List at least 5 questions you should ask the Clean Energy Task Force before you make a decision.
(Please write a minimum of three sentences)
First I would ask
how much their budget is for one year. Next I would ask how they are going to have more clean energy. Other questions I would ask are where will you install the solar farms, will the farms impact local businesses and how much dirty energy they want to get out of the atmosphere
100 POINTS IF YOU CAN ANSWER THIS
If the preferred vehicle is a sports car, what is the conditional distribution for females?
(Table Included)
A. 35.6%
B. 54.2%
C. 0.02%
D. 44.3%
E. 62.6%
Answer:44.3
Explanation:
two parakeets sit on a swing with their combined center of mass 16.0 cm below the pivot. at what frequency (in hz) do they swing?
The two parakeets sitting on the swing with a combined center of mass 16.0 cm below the pivot swings with a frequency of 1.21Hz.
How to calculate frequency of swing?Given the data in the question
Length of pendulum; L=16.0cm =0.16m
Frequency; f=
Using the simple pendulum equation of time:
T2π = √L/9 -------let this be equation 1
Where T is the period of time, L is the length of the pendulum and g is the acceleration due to gravity(9.8m/s² ).
Also formula for Frequency:
f=1/T ------------let this be equation 2
Lets substitute equation 1 into equation 2
f = 1/2π√L/9
f = 1/2π√9/L
We substitute or values into the equation
f=1/2π√[9.8/0.16]
f=1/2π√[57.647-2]
f=1/2π*7.59256s
f=1.21 hZ
Therefore, the two parakeets sitting on the swing with a combined center of mass 16.0 cm below the pivot swings with a frequency of 1.21Hz.
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a thin film of thickness 280 nm and index of refraction 1.4 coats a plate of glass having index of refraction 1.65. if light is perpendicularly incident on the glass, at what wavelength is the reflected light minimal?
If a thin layer with an index of refraction of 1.4 and a thickness of 280 nm coats a glass plate with an index of refraction of 1.65, the minimum wavelength of the reflected light is 182 nm.
What is the wavelength, exactly?When a waveform signal travels across space or down a wire, its wavelength is the distance between two identical locations (adjacent crests) in adjacent cycles. The standard units of measurement for this length in wireless systems are meters (m), centimeters (cm), or millimeters (mm) (mm).
Light is coming from a medium with a lower refractive index (n 1 = 1.50) into a medium with a higher index (n 2 = 1.60), so the net path difference in the reflected rays from the two interfaces will be equal to 2t (where t is the thickness of the thin film), because when that happens, light will enter the higher index medium.
When light travels from air to a thin film, the reflected ray's path shift equals 2; when it travels from a thin film to glass, the reflected ray's path shift equals 2′ /2+2t for constructive interference; 2t=m or 2t=m/n 1 where is the wavelength in the thin film, =546nm (given) wavelength in vacuum, and m=0 (minimum); thus, t
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A 1.2-kg spring-activated toy bomb slides on a smooth surface along the x-axis with a speed of 0.50 m/s. At the origin 0, the bomb explodes into two fragments. Fragment 1 has a mass of 0.40 kg and a speed of 0.90 m/s along the negative y-axis. In the figure, the energy released by the explosion is closest to?
The velocity of fragment 2 is equal to 0.88 m/s at 31°.
What is law of conservation of linear momentum?From the law of conservation of momentum, the sum of the momentum before and after the collision must be equal.
m₁ u₁ + m₂.u₂ = m₁ v₁ + m₂.v₂
where m₁ & m₂ is the mass of the collided objects, u₁ & u₂ are their initial speed while v₁ & v₂ is their final speed.
Given, the mass of the spring, m = 1.2 kg
The speed of the spring, v = 0.50 m/s
The mass of the first fragment, m₁ = 0.4 kg
The initial speed of fragment 1, u₁ = 0.9 m/s
The mass of the fragment, m₂ = 1.2 - 0.4 = 0.8 kg
In x-direction: [tex]mucos\theta = m_1v_1 cos\theta + m_2 v_2 cos\theta[/tex]
1.2 ×0.5 ×cos(0) = 0 + 0.8× v₂ cosθ
v₂ cosθ = 0.75
In y-direction: 12 (0) = -0.4(0.9) + 0.8 v₂ sinθ
v₂ sinθ = 0.45
Now, [tex]\displaystyle \frac{v_2sin\theta}{v_2cos\theta} =\frac{0.45}{0.75}[/tex]
tanθ = 0.6
θ = 31°
The value of the velocity of the fragment can be calculated as;
v₂ sinθ = 0.45
v₂ sin31 = 0.45
v₂ = 0.88 m/s
Thus, the magnitude of the velocity of fragment 2 is 0.88 m/s at 31⁰.
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find the speed, in meters per second, of a neutron that has the same magnitude of momentum as the x-ray photon. the nonrelativistic formula for momentum will be sufficiently accurate for this calculation.
The accuracy of the non-relativistic momentum formula is 5.32 10 3 keV.
What is momentum?momentum, product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction. Isaac Newton’s second law of motion states that the time rate of change of momentum is equal to the force acting on the particle. See Newton’s laws of motion.From Newton’s second law it follows that, if a constant force acts on a particle for a given time, the product of force and the time interval (the impulse) is equal to the change in the momentum. Conversely, the momentum of a particle is a measure of the time required for a constant force to bring it to rest.To learn more about Isaac Newton’s second law of motion refer to:
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a motor lifts a mass m a height of 13 m in a time of 5.2 s. if the power output of the motor is 187 w, what is the mass in kg?
The required mass in kg when the power output, time, height are given is 7.63 kg.
We know that, the formula for power output for a motor is
Power P = (m* g*h)/t
where,
m is the mass in kg
g is the acceleration due to gravity in m/s²
h is the height in m
t is the time in sec
Given that,
P = 187 W
g = 9.8 m/s²
h = 13 m
t = 5.2 s
m = ?
Making m as subject in the above equation, we get,
m = (P* t)/(g* h) = (187* 5.2)/(9.8* 13) = 7.63 kg.
Thus, the required mass in kg is 7.63 kg.
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a pipe of cross sectional area 1.2 m2 narrows to a pipe of cross-sectional area 0.4 m2. if the fluid is traveling at 1.7 m/s in the larger pipe, calculate the fluid speed in the narrower pipe.
The fluid speed in the narrower pipe is 4.5 m/s.
The speed of a fluid traveling through a pipe is determined by its cross-sectional area. In this case, a pipe of cross-sectional area 1.2 m2 is narrowing to a pipe of cross-sectional area 0.4 m2. The fluid is currently traveling at 1.7 m/s in the larger pipe. To calculate the fluid speed in the narrower pipe, the following equation can be used:
Speed = (Cross-sectional area of larger pipe/ Cross-sectional area of smaller pipe) × Speed of fluid in larger pipe
In this case, the equation becomes:
Speed = (1.2/0.4) × 1.7 m/s
Speed = 4.5 m/s
Therefore, the fluid speed in the narrower pipe is 4.5 m/s.
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A 30.0-kg load is being held in place using massless wires in the ideal pulley arrangement shown in the figure. What is the magnitude of the force F?
A very light wire is used to hang a series of 8.0-kg bricks. This wire will break if the tension in it exceeds 450 N. The bricks are hung one below the other from a hook in the ceiling using this wire, as shown in the figure.
(a) How many whole bricks can be hung without breaking the wire?
(b) If you add one more brick to the number found in part (a), which string will break?
a satellite of mass m takes time t to orbit a planet. if the satellite had twice as much mass, the time 169) for it to orbit the planet would be
A satellite with mass m orbits a planet in time t. Since a satellite's mass has no bearing on how long it takes to orbit a planet, if the satellite had two times as much mass, the time it would take to do so would be t.
What do satellites do?An object in space known as a satellite orbit or revolves around a larger object. Satellites can be either natural (like the moon circling the Earth) or manmade (such as the International Space Station orbiting the Earth).
What exactly is a man-made satellite?A deliberately built body (with special purposes) that has been launched into orbit using rockets or other propulsion systems is known as an artificial satellite.
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at noon, ship a is 170 km west of ship b. ship a is sailing east at 40 km/h and ship b is sailing north at 25 km/h. how fast is the distance between the ships changing at 4:00 pm?
If at noon , the ship A is 170 km west of ship B , then the distance between the ships changing at 4:00 p.m. is 28.85 kmph .
The ship A is 170 km west of ship B and
ship A is sailing east at the speed of 40 km/h ;
ship B is sailing north at the speed of 25 km/h ;
let us consider "x" and "y" as initial position of ships A and B ;
let the distance between ship A and "x" = x ;
let the distance between ship B and "x" = y ;
let the distance between ship A and ship B = z ;
By using Pythagoras Theorem ; z² = x² + y² ;
differentiating w.r.t. "t" ,
we get ;
2z*dz/dt = 2x*dx/dt + 2y*dy/dt
on Dividing equation by 2 on both sides ;
z*dz/dt = x*dx/dt + y*dy/dt .....equation(1)
given ; dx/dt = 40 km/hr and dy/dt = 25 km/hr
Now , When t = 4 hours,
since at noon ; the ship A is west of Ship B ;
we get ; x = 40*4 = 170 - 160 = 10 ; y = 25*4 = 100 and
z = √(x² + y²) , putting the values of x and y ,
we get ;
z = √(x² + y²) ;
z = √(10² + 100²) ;
substituting the values ; we get
z = √100+10000
z = √10100
z = 100.49
putting the values of x , y and z , in equation(1) ,
we get ;
100.49*dz/dt = 10*40 + 100*25 ;
100.49*dz/dt = 400 + 2500
100.49*dz/dt = 2900
dz/dt = 2900/100.49
dz/dt = 28.85 kmph ;
Therefore , The distance between the ships is changing at 4:00 p.m. is 28.85 kmph .
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at one point in the pipe, the radius is 0.160 mm . what is the speed of the water at this point if the volume flow rate in the pipe is 1.20 m3/sm3/s .
The flow rate of the water in the pipe is given by Q=Av
where
Q is the flow rate
A is the cross-sectional area of the pipe
v is the speed of the water
with the help of question,
,
Q=1.20m3/s
the radius of the pipe is
r = 0.160 m
So, the cross-sectional area is
;
;A=πr^2 where r=0.160mm
=π(0.160×0.160)2=0.0256m
So we can re-arrange the equation to find the speed of the water:
;v=Q/A=1.20m3/s/0.0256
=4687.5m3
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a mass-spring system in simple harmonic motion has an energy of 4.04 j and an amplitude of 21 cm. find the maximum force that the spring exerts on the mass. (be careful with units!)
The maximum force that the spring exerts on the mass is 3.847N if spring is in simple harmonic motion.
In mechanics and physical science,simple harmonic motion (some of the time shortened SHM) is an exceptional kind of occasional movement of a body coming about because of a powerful harmony between an inertial power
We have kinetic energy in Simple harmonic motion =(1/2)mω²A² where m is the mass,ω is the angular frequency and A is the amplitude of the body.
Now,we need to find the force exerted by spring which is given by formula =ma=mω²A .So,we need to find the mω².
We have kinetic energy as =4.04J
So,on putting the values we get
=>4.04=(1/2)×m×ω²×(0.21)²
=>4.04×2 = m×ω²×(0.21)²
=>8.08 =m×ω²×0.441
=>mω²=8.08/0.441
=>mω²=18.32kg/sec²
Now,we know that force is given by formula=mω²x where x is the maximum amplitude of spring.Here value of x is 0.21m.
So,F=mω²x
=>F=18.32×0.21
=>F=3.847N
Hence,maximum force is 3.847N.
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jerome wants to photograph runners at a track meet. he wants his photographs to show motion. which type of setting will help emphasize a blur of motion?
XXX high shutter speed is the kind of setting that will help emphasise motion blur.
Motion blur is the appearance of moving objects streaming across a frame or sequence of frames, such as in a video or animation. When there is rapid movement or a long exposure, it occurs when the image being recorded changes throughout the course of one exposure. In both photography and video, motion blur is a result of the shutter speed, or how long the iris of the camera is open and exposed. When exposed for a longer period of time with a slower shutter speed than they would with a faster one, moving objects move further and fuzz more. Both photography and video can capture the motion blur effect, although they do it in somewhat different ways and for slightly different reasons. On the other hand, the effect itself is essentially the same in both mediums.
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perceiving the color, motion, and form of a bird in flight illustrates a. parallel processing. %. opponent-process theory. q. trichromatic theory. d. serial processing. place theory.
parallel processing perceiving the color, motion, and form of a bird in flight illustrates.
Option a is correct.
The trichromatic hypothesis of colour perception is what?According to the trichromatic theory, our ability to perceive red, green, and blue hues as well as how they affect our cerebral activity are both explained by cones (Like a projection T.V.). Consequently, the precise colour we see is determined by the proportion of each colour to the others.
What foundation does trichromatic theory have?The three kinds of cone receptors that are responsible for colour vision are the foundation of the trichromatic hypothesis of colour vision. Beginning in the 18th century, this hypothesis has a very long history.
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A robot that is exploring the surface of Mars has a mass of 136 kg. If the gravitational force acting on the robot is 504.6 N downward, what is the free-fall acceleration on Mars?
The free-fall acceleration on Mars is 3.71 m/s²
What do you mean by free fall?A body is said to be in freefall when it only moves in relation to the Earth's gravity. An external force exerted on the ball will cause its motion to accelerate. Gravitational acceleration is another name for this rate of free fall.According to Newton's second law of motion, force (F) = mass (m) times acceleration, an item in free fall will move with an acceleration (a). We can use a little mathematics to determine the object's acceleration in terms of the net external force and the object's mass (a = F / m).Given :
gravitational force acting on the robot is 504.6 N
F= 504.6 N
mass of the robot = 136 kg
a = F/ m
= 504.6/ 136 =3.71 m/s²
The free-fall acceleration on Mars is 3.71 m/s²
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At a height of 10.0 meters above Earth's surface, the potential energy of an object is 196 joules.
After the mass falls 5.00 meters, how much kinetic energy does it gain?
Answer:
To determine the change in kinetic energy of the object as it falls from a height of 10.0 meters to 5.00 meters, we can use the equation KE = 1/2 mv^2, where KE is the kinetic energy, m is the mass of the object, and v is the velocity. We can also use the equation for gravitational potential energy, which is PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height above the ground.
We know that the potential energy of the object at a height of 10.0 meters is 196 joules, so we can use this information to solve for the mass of the object:
196 = m * 9.80 * 10.0
196 = 98.0m
m = 2.00 kg
We can then use this value for the mass to find the kinetic energy of the object as it falls from a height of 10.0 meters to 5.00 meters:
KE = 1/2 * 2.00 * v^2
KE = 1/2 * 2.00 * (2gh)^2
KE = 1/2 * 2.00 * (2 * 9.80 * 5.00)^2
KE = 196 joules
Thus, the object gains 196 joules of kinetic energy as it falls from a height of 10.0 meters to 5.00 meters.
At a height of 10.0 meters above Earth's surface, the potential energy of an object is 196 joules. After the mass falls 5.00 meters, 196 joules is the kinetic energy.
What is kinetic energy?Kinetic energy is the type of energy which an item or particle has as a result of its motion. When work, that transfers energy, is performed on an item by exerting a resultant force, the object accelerates and obtains kinetic energy.
Kinetic energy is indeed a characteristic of an object moving or particle that is affected by both its speed and its mass. Translation (or motion across a path from one location to another), rotation on an axis, vibration, and any combination of movements are all possible.
Potential energy=m× g× h
196 = mass×9.80×10.0
m = 2.00 kg
K.E= 1/2×m×v²
KE = 1/2 ×2.00× v²
KE = 1/2 ×2.00× (2gh)²
KE = 1/2 ×2.00 × (2 × 9.80 ×5.00)²
KE = 196 joules
Therefore, 196 joules is the kinetic energy.
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the mass of an electron is 9.10939 x 10-31 kg. calculate the uncertainty in position if the velocity is 100.0 mi/h 1.0 %. ( 1 mi
The uncertainty in position if the velocity is 100.0 mi/h 1.0 % is 5.19 x 10-36 m.
What is velocity?Velocity is a vector quantity that describes the rate and direction of an object's motion. It is typically expressed as the magnitude of the speed of an object in a given direction. Velocity can be determined by measuring the displacement of an object over a certain amount of time. It is an important concept in physics, as it is used to describe the motion of objects. Velocity is closely related to other physical quantities such as acceleration, momentum, and force.
The uncertainty in position can be determined using Heisenberg's Uncertainty Principle. This states that the product of the uncertainty in position and the uncertainty in momentum must be greater than or equal to the Planck constant (h) divided by 4π. The momentum of the electron is equal to its mass multiplied by its velocity. Thus, the uncertainty in position is equal to (h)/(4πmv), where m is the mass of the electron and v is the velocity. In this case, this would be equal to
(6.626 x 10-34 Js)/(4π x 9.10939 x 10-31 kg x (100.0 mi/h x 1609.34 m/mi))
=5.19 x 10-36 m.
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if betelgeuse were to radiate all of its energy at the peak-intensity wavelength, how many photons per second would it radiate?
if Betelgeuse were to radiate all of its energy at the peak-intensity wavelength, how many photons.
What is energy?
Energy, which is observable in the execution of labour as well as in the form of heat and light, is the quantitative quality that is transferred to a body or to a physical system in physics. It is a mechanically accepted quantity.
a )
Radius of the sun = .69645 x 10⁹ m .
600 times = 600 x .69645 x 10⁹ m
= 4.1787 x 10¹¹ m .
surface area A = 4π (4.1787 x 10¹¹)²
= 219.317 x 10²²
energy radiated E = σ A Τ⁴
= 5.67 x 10⁻⁸ x 219.317 x 10²² x (3000)⁴
= 100695 x 10²⁶ J
To know the wavelength of photon emitted
[tex]\begin{aligned}& \lambda_m T=b \\& \lambda_m=\frac{b}{T}\end{aligned}[/tex]
= 2.89777 x 10⁻³ / 3000
= 966 nm
= 1275 /966 eV
1.32 x 1.6 x 10⁻¹⁹ J
= 2.112 x 10⁻¹⁹ J
No of photons radiated = 100695 x 10²⁶ / 2.112 x 10⁻¹⁹
= 47677.5 x 10⁴⁵
= .476 x 10⁵⁰ .
b )
energy radiated by our sun per second
E₂ = σ A 5800⁴
energy radiated by Betelgeuse per second
E₁ = σ x 600²A x 3000⁴
E₁ / E₂ = σ x 600²A x 3000⁴ / σ A 5800⁴
= 36 X 10⁴ x 3⁴ x 10¹² / 58⁴ x 10⁸
= 25.76 x 10⁸ x 10⁻⁵
= 25760 times .
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Complete Question
The red giant Betelgeuse has a surface temperature of 3000 K and is 600 times the diameter of our sun. (If our sun were that large, we would be inside it!) Assume that it radiates like an ideal blackbody.a) If Betelgeuse were to radiate all of its energy at the peak-intensity wavelength, how many photons per second would it radiate?b) Find the ratio of the power radiated by Betelgeuse to the power radiated by our sun (at 5800 K).
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