Answer:
I would use physical properties to identify each substance because anything with the same physical properties as previous substances in the past.
Explanation:
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the pitcher's mound is 18.5 m to home plate. if the pitcher throws a ball there in 0.46 seconds how fast is that?
Answer:
see below
Explanation:
18.5 m in .46 sec = 18.5 /.46 m/s = 40.2 m/s
the twinkling of the stars is caused by . a. starlight interacting with earth's atmosphere b. refraction owing to the moon c. reflection owing to the moon d. the rotation of the sun
A star's twinkling is caused by light from the star being refracted by the earth's atmosphere.
What is stars?
An astronomical object known as a star is made up of a luminous plasma spheroid that is held together by gravity. The Sun is the star that is closest to Earth. Other stars are also visible at night with the unaided eye, but due to their great distances from Earth, they appear as stationary points of light. Many of the brightest stars have names, and the most notable stars have been grouped into constellations and asterisms. Star catalogues have been put together by astronomers that list the known stars and offer standardised stellar designations. An estimated 10^22–10^24 stars are present in the observable universe. Only 4,000 of these stars can be seen with the unaided eye, and they are all located in the Milky Way galaxy.
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b. Which station broadcasts waves with a shorter wavelength
Answer:
blue and purple light
Explanation:
Light waves have very, very short wavelengths. Red light waves have wavelengths around 700 nanometers (nm), while blue and purple light have even shorter waves with wavelengths around 400 or 500 nm.
Can someone help me pls, i also have 3 more questions like this :D
The water molecules in the gas phase have more kinetic energy than in the liquid phase. The molecules in the liquid phase must absorb energy from the surroundings to enter the gas phase.
What is a hot spring?A hot spring can be defined as a natural or an artificially-induced phenomena in which very hot groundwater flows out from the Earth's crust due to the heat energy that is present in the geosphere.
What is a phase change?A phase change simply refers to the change in the state (phase) of matter of a given chemical compound or substance in the following ways:
Gas to solidSolid to liquidLiquid to gasLiquid to solidGenerally speaking, the water molecules in the gas phase typically possesses more kinetic energy than in the liquid phase and as such, it would have to absorb more energy from the surroundings in order to enter the gas phase.
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When developing the light bulb, thomas edison’s lab went through numerous materials until they found one that would work. Which one finally worked?.
The material that finally worked in developing the light bulb is
Carbonized cardboard/ filament.
The formation of the light bulb was an important contribution to physics and mankind. However, various experiments were conducted in different labs to produce a light bulb.
The scientists of the olden times were having trouble in finding a material that could burn for a long and not have such a short lifespan.
It was the lab in which Thomas Edison worked that first used carbonized carbon filament in the light bulb. Their research proved to be a breakthrough because carbon filaments have a longer lifespan and burned effectively when electricity was provided.
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a 4.0 kg block on a horizontal, frictionless surface is connected by a massless string and a massless, frictionless pulley to a hanging mass. for what value of the hanging mass does the block accelerate at 1.8 m/s2 ?
13a value of the hanging mass does the block accelerate at 1.8 m/s2
For 8 kg mass,
m 1 g - T = m 1 a
8g - T = 8a —————(I)
For 5 kg mass,
T - m 2 g = m 2 a
T - 5g = 5a —————(II)
Adding both equations, we get
8g - 5g = 13a
On a surface with no friction, is there acceleration?The constant velocity of the body on the frictionless surface is represented by the frictionless surface acceleration. No net force on the moving object can stop it from going when the surface is frictionless. As a result, the body keeps moving at the same speed. The skater has no net acceleration if no forces are operating on him and he is on a frictionless surface. The acceleration must be zero since the skier must have mass. If there is no acceleration when an item is moving, its velocity stays constant.
We must understand that acceleration always occurs in areas where there is friction. There are several types of forces at work on moving objects.
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The fact that the voyager spacecraft continue to speed out of the solar system, even though its rockets have no fuel, is an example of.
The truth that Voyager maintains to hurry out of the sun system, despite the fact that its rockets haven't any fuel, is an instance of Newton's first regulation(law) of movement.
Newton's first regulation states that each item will continue to be at relaxation or in uniform movement in a immediately line except pressured to extrude its kingdom via way of means of the movement of an outside force. This tendency to withstand modifications in a kingdom of movement is inertia. The 3 legal guidelines of movement have been first said via way of means of Isaac Newton in his Philosophie nutralize Principia Mathematica (Mathematical Principles of Natural Philosophy), firstly posted in 1687.
Newton used them to research and provide an explanation for the movement of many bodily gadgets and systems, which laid the muse for classical mechanics. In the time seeing that Newton, the conceptual content material of classical physics has been reformulated in opportunity ways, concerning unique mathematical techniques which have yielded insights which have been obscured withinside the original, Newtonian formulation.
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tell the answer please
r - Radius
h - Height
1. Area of a circle = π×r²
2. Circumference of a circle = 2×π×r
3. Volume of a cylinder = π×r²×h
A region's size on a plane or curved surface is expressed by the term "area," which is a mathematical concept. As opposed to surface area, which refers to the area of an open surface or the boundary of a three-dimensional object, plane region or plane area refers to the area of a form or planar lamina.
The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter.
A cylinder is one of the most basic curvilinear geometric shapes and has traditionally been a solid in three dimensions. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.
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PLEASE HELP
Question: How would the paths of motion of the planets change if the gravitational force of the sun were to suddenly disappear?
The planets currently move in ___ paths. Newton observed that objects always move in straight paths unless ____. This means that removing the force of gravity would cause them to ____.
The paths of motion of the planets, if the gravitational force of the sun were to suddenly disappear will be a straight line.
The orbits in which the planets revolve around the Sun is elliptical in shape. Johannes Kepler was the first to discover the elliptical shape of orbits which was called as Kepler's laws of planetary motion.
According to Newton's first law of motion, objects always move in straight paths unless acted upon by an external force. This means that removing the force of gravity would cause them to move a straight line tangential to the orbit that it was revolving about.
Therefore,
The planets currently move in elliptical pathsNewton observed that objects always move in straight paths unless acted upon by an external forceThis means that removing the force of gravity would cause them to move a straight lineTo know more about Kepler's laws of planetary motion
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3. Complete the table below.
Symbol Atomic
Number
Na
Cl
Ar
Ca
11
20
Mass
Number
36
40
Number of
Protons
17
Number of Number of
Electrons
Neutrons
18
12
18
Answer:
Explanation:
Elements Atomic No. Mass No. Proton No. Electron No. Neutron No.
Na 11 23 11 11 12
Cl 17 35 17 17 18
Ar 18 36 18 18 18
Ca 20 40 20 20 20
Atomic number = Proton number
Electron number = proton number
Mass Number = proton no. + neutron no.
Neutron number = Mass no. - proton no.
When you prepare a kettle of stew over a camp fire, the stew is warmed in a variety of ways. Explain the combination of processes.
The combination of processes through which the stew is being warmed include conduction, convection and radiation.
What is heat transfer?Heat transfer is defined as the phenomenon whereby heat generated in a medium is being transferred to another location by phase changes.
The transfer of heat occurs in the following combination processes such as:
Thermal Conduction: the transfer of heat through direct contact of the pot of stew with the camp fire.Thermal Convection: the transfer of heated stew at the base of the pot to the stew of the topmost part is through this process.Thermal radiation: this is the heat waves from the camp fire that heats the pot of stew.Learn more about heat energy here:
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in the video, forces acting on the car that are parallel to the direction of motion are analyzed. how are these forces related?in the video, forces acting on the car that are parallel to the direction of motion are analyzed. how are these forces related?
The forces have a same magnitude, act in opposing directions, and result in a net force of zero. The forces produce a net force in the direction of motion that is in the same direction, but they are not equal in size.
All forces operating on an automobile travelling uniformly at a steady speed are balanced. In this instance, the two opposing forces air resistance and friction perfectly balance the force that the wheels are exerting on the ground. However, the instant your foot leaves the gas pedal, there is no longer an applied force, and the forces are out of balance: Now when the car is out of balance, the forces pushing backward on it cause it to slow down; this is known as negative acceleration.
Because there wasn't enough upward force (i.e., regular force from the chair) to balance the extra mass, you would speed downward as a result of the unbalanced force, possibly breaking your tailbone as you plunged through the chair to the floor.
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the radius of the planet mercury is 2.43*10^6m and its mass is 3.2*10^23 kg. find the period of a satellite orbiting mercury 265,000 m above its surface?
The period of a satellite orbiting mercury 265,000 m above its surface is 100 minutes if the radius of the planet mercury is 2.43*10^6m and its mass is 3.2*10^23 kg.
v = √ G M / r
r = R + d
v = Orbital velocity
G = Gravitational constant
M = Mass of planet
r = Radius of the orbit
R = Radius of planet ( mercury )
d = Distance from surface to satellite
m = 3.2 * [tex]10^{23}[/tex] kg
R = 2.43 * [tex]10^{6}[/tex] m
d = 265000 m
G = 6.67 * [tex]10^{-11}[/tex] N m² / kg²
r = R + d
r = 2.43 * [tex]10^{6}[/tex] + 265000
r = 2.695 * [tex]10^{6}[/tex] m
v = √ ( 6.67 * [tex]10^{-11}[/tex] * 3.2 * [tex]10^{23}[/tex] ) / 2.695 * [tex]10^{6}[/tex]
v = √ 7.92 * [tex]10^{6}[/tex]
v = 2.81 * 10³ m / s
v = 2.81 km / s
v = 2 π r / T
T = Time period
T = 2 * 3.14 * 2.695 * [tex]10^{6}[/tex] / 2.81 * 10³
T = 6.02 * 10³ s
T = 100 minutes
Therefore, the period of a satellite orbiting mercury is 100 minutes
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A ball is thrown upward with an initial velocity of 20ft/s.
a ) What is the acceleration of the ball on its way up?
b ) what is the velocity of the ball at the very top of its path?
c) what is the acceleration of the ball on its way down?
Answer: the acceleration is 63737737ey
the velpcoty is is 7-922=2929
the acceleration down is 99102>2929<92
Explanation: because when the ball goes up it has to come down due to gravity, physics, and your very kind and nice mother. I hope this helped you! i bet you will ace this assignment.
how do we estimate the age of the universe? how do we estimate the age of the universe? by measuring the recession velocities and the distances of distant galaxies and noticing that these parameters are intimately related to time. by observing the rotation rate of spiral galaxies and determining when they must have begun to rotate. by reading ancient texts, which instruct us on the origin of the universe. by examining the spectra of cepheid variable stars in neighboring galaxies.
By measuring the recession velocities and therefore the distant galaxies and noticing that these parameters are intimately related to time. Option A.
Find the oldest stars, measure the expansion rate of the universe, and extrapolate back to the large Bang. a bit like a detective can trace the origin of a sphere through a hole in the wall.
Current measurements put the world at about 4.54 billion years old and therefore the universe at About 13.8 billion years. Scientists measure the dimensions of the universe in a myriad of different ways. they will measure ripples from the early universe known as baryonic acoustic oscillations that fill the cosmic microwave background. you'll also use a standard candle, like a Type 1A supernova, to live within distance.
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One drops a penny from top of the Empire State Building on the ground below. The hight of the Empire State Building is 443m How long will it take for a penny yo strike the ground assuming no air resistance
Answer:
See below
Explanation:
Assuming no resistance
DISTANCE = 1/2 a t^2
443 = 1/2 (9.81)t^2 Shows t = 9.5 seconds
racing greyhounds are capable of running at very high speeds. a typical greyhound racing track has turns that are 49 m diameter semi-circles. a greyhound can run around these turns at a constant speed of 15 m/s. what is the greyhound's acceleration?
The acceleration of greyhound's is 0 m/s².
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
s = 49 m
vo = vt = 15 m/s
Find the acceleration
vt² = vo² + 2a . s
15² = 15² + 2 . a . 49
a = 0 m/s²
The acceleration is zero because the constant speed.
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Two drops of mercury each has a charge on 5.44 nC and a voltage of 235.15 V. If the two drops are merged into one drop, what is the voltage on this drop?
To find the voltage of the combined drops, we can just add the voltage of both drops together.
2(235.15) = 470.3 Volts
What would happen if the fusion rate in the core of the sun were increased but the core could not expand?.
If the fusion rate in the core of the sun were increased but the core couldn't expand then The Sun’s core would start to cool down and the rate of fusion would decrease.
When the core of sun is increased in that scenario, the reaction rate would in fact speed up and produce more energy, but the heat would also lead to a rise in pressure. The Sun would expand because the upward pressure force would outweigh the downward gravity force.
What is fusion?
A reaction known as fusion occurs when two or more atomic nuclei unite to create new atomic and subatomic particles (neutrons or protons). Energy is released or absorbed depending on how much mass there is between the reactants and products.
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What type of energy is the sum of kinetic and potential energy in an object that is used to do work?.
Mechanical energy type of energy is the sum of kinetic and potential energy in an object that is used to do work.
What is an example mechanical energy?Potential energy plus kinetic energy are combined to form mechanical energy. It refers to the power underlying an object's location and motion. A compressed spring, for instance, has mechanical energy in the form of potential energy, while a moving vehicle has mechanical energy in the form of kinetic energy.
How does mechanical energy become electrical energy?A sequence of blades installed on a rotor shaft in a turbine generator are pushed by a flowing fluid, including such air, water, steam, combustion gases, or water. A generator's rotor shaft rotates or spins due to the fluid's force on the blades. In turn, the generator converts the rotor's physical (kinetic) energy into electricity.
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1. keep sensor at a distance of 2 meter from charge. what is the value of electric field at this point? calculate the value by using formula of electric field. do both values match?
The value of electric field is 2.247 V/m. Yes, the observed value and calculated values of electric field match.
The electric field will be calculated using the formula -
E = kq/r². In this formula, E stands for electric field, k represents constant of proportionality, q is the charge of electron and r is the distance. As per the known fact, the value of k is 8.89×10⁹ N m²/C² and value of q is 1.6×[tex] {10}^{ - 19} [/tex] C.
Keep the values in formula for calculation of electric field.
E = (8.89×10⁹ × 1.6×[tex] {10}^{ - 19} [/tex])/2²
Taking square in denominator
E = (8.89×10⁹ × 1.6×[tex] {10}^{ - 19} [/tex])/4
Performing multiplication and division
E = 2.247 V/m
Thus, the observed and calculated electric field is 2.247 V/m, which is equal in both the cases.
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The complete question is attached in the diagram.
a boy pushes his little sister on a sled. the sled accelerates from 0 to 3.2 m/s . if the combined mass of his sister and the sled is 40.0 kg and 18 w of power were generated, how long did the boy push the sled?
The boy pushed the sled for 15 seconds. The Work-Energy theorem can be applied in circumstances when a rigid body must move while being subjected to several forces.
What is Energy Theorem?The Work - Energy theorem states that the work done by the sum of all forces acting on a particle equals the change in the kinetic energy of the particle.
The Work-Energy theorem can be applied in circumstances when a rigid body must move while being subjected to several forces. A rigid body can only have kinetic energy because of its rigid structure, which prevents it from storing potential energy in its lattice.
The sled is initially at rest → initial velocity (u) = 0.
Final velocity (v) = 3.2 m/s
Mass of boy and sled (M) = 40 kg
Power developed (P) = 18 W = 18 Joules/sec
According to work - energy theorem -
Work done (W) = Δ E(K) = E(f) - E(i)
Therefore -
W=[tex](1/2*40*3.2*3.2-1/2*40*0)[/tex]=204 joule
Now, Power is defined as the rate of doing work -
P =[tex]pw/dt[/tex]= [tex]w/t[/tex]
18 = 204/t
t = 15 seconds
Hence, the boy pushed the sled for 15 seconds.
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The boy pushed the sled for 15 seconds.
What is Energy Theorem?The Work - Energy theorem states that the work done by the sum of all forces acting on a particle equals the change in the kinetic energy of the particle.The Work-Energy theorem can be applied in circumstances when a rigid body must move while being subjected to several forces. A rigid body can only have kinetic energy because of its rigid structure, which prevents it from storing potential energy in its lattice.The sled is initially at rest → initial velocity (u) = 0.
Final velocity (v) = 3.2 m/s
Mass of boy and sled (M) = 40 kg
Power developed (P) = 18 W = 18 Joules/sec
According to work - energy theorem -
Work done (W) = Δ E(K) = E(f) - E(i)
Therefore -
[tex]$$\mathrm{W}=(1 / 2 * 40 * 3.2 * 3.2-1 / 2 * 40 * 0)=204 \text { joule }$$[/tex]
Now, Power is defined as the rate of doing work -
[tex]&\mathrm{P}=p w / d t=w / t \\[/tex]
[tex]&18=204 / \mathrm{t} \\[/tex]
[tex]&\mathbf{t}=15 \text { seconds }[/tex]
Hence, the boy pushed the sled for 15 seconds.
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an airplane travels from a to b and back with no wind in 4h and 48 min; same airplane travels from a to b and back, with wind speeds of 100mph, and this time takes 5hrs instead; what is the distance between a and b?
The distance between the points A and B is 6000 miles.
Let us assume that the distance between the points a and b is D.
Now, we know, airplane takes 4 hours and 48 minutes to move from a to b and back with no wind
Let us say the speed of the airplane is V.
So, we know,
Average Speed = total distance/total time
The distance between a to b and back is 2D.
So, we can write,
V = 2D/4.8
2D = V(4.8)
With wind of speed V'=100mph, it take 5 hours for the airplane to go from a to b ane back.
The average velocity of airplane in wind is,
V + V' = 2D/5
Putting value of 2D,
V + V' = V(4.8)/5
5(V + 100) = 4.8V
5V + 500 = 4.8V
0.2V = -500
V = -2500mph
The negative sign only means that we have taken the opposite direction, so that is not a problem and we can ignore it,
So,
We know,
2D =V(4.8)
D = 2500(4.8)/2
D = 6000 miles.
So, the distance between the two points is 6000 miles.
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a hockey puck is hit on a frozen lake and starts moving with a speed of 14.7 m/s. exactly 5.80 s later, its speed is 5.90 m/s. the acceleration of gravity is 9.81 m/s 2 . a) what is its average acceleration? answer in units of m/s 2 . how far does the puck travel during this 5.80 s interval? answer in units of m
The average acceleration of the hockey puck is 1.5172m/s² and the hockey puck travels 110.65 meters in the interval of 5.8 seconds.
The initial velocity of the player is 14.7m/s. The final velocity of the player is 5.90 m/s.
The time taken during the change of velocity is 5.8 seconds.
a) Average acceleration A of tha player,
A = ∆V/∆t
∆V total change in velocity,
∆t total change in time,
So, we can write,
A = 5.90-14.7/5.8
A = 1.5172m/s².
So, average acceleration is 1.5172m/s².
b) To find the distances travelled in the 5.8 second,
We can use the equation of motion,
S = Ut+1/2At²
U is initial velocity,
A is average acceleration,
t is the time,
S is the distance travelled,
Putting all the values,
S = 14.7(5.8)+1/2(1.51)(5.8)²
S = 110.65 meters.
So, the player travel 110.65 meters.
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what is happening in each section by looking at the slope
Answer:
a - constant speed walking north (positive)
b,c,d - accelerating north (positive)
e - stopped
f - negative walking at a constant speed
Explanation:
When the line is straight with a constant slope the person is hiking at a constant speed. If the line curves they are accelerating if it is flat they are not moving and if it has a negative slope the hiker is moving south
to stop your vehicle when the brakes fail, a. work the parking brake gradually to prevent locking up the wheels and sending the car out of control. b. pump your foot down on the accelerator. c. shift up to a higher gear to slow the car down. d. all of the above
The correct answer is option A.
To stop your vehicle when the brakes fail, work the parking brake gradually to prevent locking up the wheels and sending the car out of control.
Due to advanced technology, a complete brake failure has never occurred. However, there is the possibility of an unlikely scenario while driving your vehicle.
If you ever come across such an unfortunate situation where a brake failure occurs in your vehicle while driving here is the advice to act upon.
The few things which are essential to do are:
Keep pressing the brake pedal
Gradually pull down on the parking brake of your vehicle.
If it does not work, shift your attention to the lower gear and make sure one gear at a time to slow down your vehicle.
Drive into less hazardous areas make sure there are no people around you and do not turn off your engine until your vehicle is completely stopped.
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a charged particle of mass 0.0020 kg is subjected to a 6.0 t magnetic field which acts at a right angle to its motion. if the particle moves in a circle of radius 0.20 m at a speed of 5.0 m/s what is the magnitude of the charge on the particle?
The magnitude of the charge on the particle is 0.0083 C.
The centripetal force acting on the charged particle is equal tp the magnetic force.
[tex]\frac{mv^{2} }{r}[/tex] = qB
q = [tex]\frac{mv}{rB}[/tex]
= [tex]\frac{(0.0020kg)(5.0m/s))}{(0.20 m)(60T)}[/tex]
= 8.33 × 10⁻³ C 0r 0.0083 C
A magnetic field is a vector discipline that describes the magnetic influence on transferring electric fees, electric currents, and magnetic materials. A shifting charge in a magnetic subject experiences a pressure perpendicular to its very own pace and to the magnetic area.
This force causes the magnets to attract or repel each other. Examples of magnetic force are a compass, a motor, the magnets that maintain stuff at the fridge, educate tracks, and new roller coasters. All transferring costs deliver upward thrust to a magnetic subject and the costs that circulate via its regions, revel in pressure.
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Two electromagnetic waves are traveling through a material. Wave 1 has a maximum electric field strength that is three times the maximum field strength of wave 2. How do the average intensities of the waves compare?.
The correct answer is option C.
Two electromagnetic waves are traveling through a material. Wave 1 has a maximum electric field strength that is three times the maximum field strength of wave 2. The average intensity of Wave 1 is nine times the intensity of Wave 2.
By comparing the two electromagnetic waves, we get:
Maximum Electric Field Strength of Wave(1) = 3 x Maximum Electric Field Strength of Wave (2), i.e.
[tex]E_{1}[/tex] = 3 x [tex]E_{2}[/tex]
Now comparing the average intensities of the two waves. we get [tex]\frac{I1}{I2}[/tex]
The average intensity of electromagnetic wave 1 can be expressed as:
[tex]I_{1}[/tex] = [tex]\frac{1}{2}[/tex] x ε0 x [tex]E1^{2}[/tex] x c ------- (1)
Now, the average intensity of the electro-magnetic wave 2 can be expressed as:
[tex]I_{2}[/tex] = [tex]\frac{1}{2}[/tex] x ε0 x [tex]E2^{2}[/tex] x c -----(2)
Now comparing equations 1 and 2 we get.
[tex]\frac{I1}{I2}[/tex] = [tex]E1^{2}[/tex] / [tex]E2^{2}[/tex]
[tex]\frac{I1}{I2}[/tex] = ( 3 x [tex]E2)^{2}[/tex]/ [tex]E2^{2}[/tex]
[tex]\frac{I1}{I2}[/tex] = 9
Thus, we can say that the average intensity of Wave 1 is nine times the intensity of Wave 2.
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The complete question is:
Two electromagnetic waves are traveling through a material. Wave 1 has a maximum electric field strength that is three times the maximum field strength of Wave 2. How do the average intensities of the waves compare?
a. The average intensity of Wave 1 is three times the intensity of Wave 2.
b. The average intensity of Wave 2 is three times the intensity of Wave 1.
c. The average intensity of Wave 1 is nine times the intensity of Wave 2.
d. The average intensity of Wave 2 is nine times the intensity of Wave 1.
fish are hung on a spring scale to determine their mass. (a) what is the force constant of the spring in such a scale if it stretches 6.55 cm for a 17.8 kg load?
The force constant of the spring is 2,717 × [tex]10^{3}[/tex] N/m
To solve this problem, we should understand Hooke's Law. According to this law, the displacement or magnitude of a deformation is directly proportional to the deforming force or load for relatively modest deformations of an item. Mathematically, Hooke's Law could be stated in a form of equation as written below.
[tex]F = k[/tex] Δ[tex]x[/tex]
where [tex]F[/tex] is the force, [tex]k[/tex] is the spring constant, and Δ[tex]x[/tex] is the displacement.
In this question, we have already known the value of force (as a result of multiplication between weight of the load and gravity value) and displacement.
[tex]F = 178 N[/tex]
Δ[tex]x[/tex][tex]= 0.0655 m[/tex]
By using the formula of Hooke's Law, we could calculate the value of spring constant.
[tex]F = k[/tex] Δ[tex]x[/tex]
[tex]k=F/[/tex]Δ[tex]x[/tex]
[tex]k = 178 N / 0.0655[/tex]
[tex]k = 2717 N/m[/tex]
[tex]k = 2,717[/tex] × [tex]10^{3} N/m[/tex]
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a 500 gram stone tied to the end of 1.2 m cord is swung into a vertical circular motion with a radius equal to the cord length. find the speed of the stone at the bottom of the circle if the tension in the cord is three times the stone's weight.
The speed of the stone at the bottom of the circle is 4.85 ms⁻¹.
Speed is the time fee at which an object is moving alongside a course, even as the pace is the charge and path of an object's movement. The rate of speed of the function of an object in any course.
velocity is measured because of the ratio of distance to the time in which the space became blanketed. the pace is a scalar amount because it has the most effective route and no magnitude. Speed is the time fee at which an object is moving alongside a path, while the pace is the fee and direction of an item's motion. put another way, the pace is a scalar value, whilst pace is a vector.
At the bottom position,
T - mg = Fc = mv²/r
∴ (T - mg/m)r = v²
V² = (3mg - mg ) r/ m = 2mgr/m
v = [tex]\sqrt{2gr}[/tex]
= 4.85 ms⁻¹
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