Answer:
1.43 J
Explanation:
PE = mgh = (0.04 kg)(9.80 m/s2)(3.6576 m) = 1.43 J
You have to convert g to kg, and feet to m
A piano tuner stretches a steel piano wire with a tension of 765 n. the steel wire has a length of 0.900 m and a mass of 6.75 g. What is the frequency fi of the string's fundamental mode of vibration?
Fundamental Frequency of the String is 177.42 Hz.
What does "frequency of a wave" mean?The quantity of waves emitted by a source per second is known as a wave's frequency. Additionally, it is the quantity of waves per second that pass a specific spot. The hertz is a measure of frequency (Hz).
How can you determine a wave's frequency?The equation f=v f = v, where is the wavelength in meters and v is the wave speed in m/s, can be used to determine the frequency of a wave if the wavelength and speed of the wave are known. This also provides the wave's frequency in Hertz.
The Tension in the String is 765 N.
Steel wire length L is 0.900 m
Mass of the string m is 6.75 g = 6.75 * 10^-3 kg.
Frequency of the string = n *(Velocity of the wave on the String/(2L) )
v = 319.37 m/sec
For Fundamental Frequency n = 1
Frequency = V / 2L
f = 319.37 / (2*0.9)
f = 177.42 Hz
How do frequency and wavelength differ?The wavelength, which will also apply to troughs, is the separation between two wave crests. The frequency is measured in cycles per second (Hz), which is the quantity of vibrations that cross a specific area in a second (Hertz).
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sealed beam headlights are being discussed. technician a say the lens of a sealed beam headlight has convex prisms molded into its inner surface to concentrate the light into a narrow beam. technician b says a sealed beam is an airtight assembly containing a filament, reflector, and lens. who is correct?
Technician A says the lens of a sealed beam headlight has convex prisms molded to the inner surface. Technician B says it’s an airtight assembly containing a filament, reflector, and lens. The correct statement is told by: both technicians.
What is a sealed beam component?A sealed beam lamp is an enclosed bulb in front of a glass lens we can find in a headlamp. Each part of the sealed beam cannot be replaced separately. The sealed beam headlights have parabolic aluminized reflectors in the form of convex prisms molded to inner surface. It also contains a filame, reflector, and lense. Hence, both statement from the technicians are true.
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A car goes around a circular track at 30 m/s. If the radius of the curve is 90 m, what is the centripetal acceleration of the car in m/s2 ?.
The centripetal acceleration of the car on the circular track is found to be 10m/s².
The car is running on a circular track at a speed of 30m/s. The radius of the circular curve is 90 m.
The centripetal acceleration of the car is given by the relation,
a = v²/r
Where is the centripetal acceleration we is the speed of the car and R is the circular radius of the curve,
Putting values,
a = (30)²/90
a = 10m/s²
So, the centripetal acceleration of the car is 10m/s².
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provide a procedure how to solve the related rate problem: a l foot ladder is resting in a wall and start slipping along the wall at a rate of k m/sec. how fast is the based of the ladder moving away from the wall when the ladder is at the high h meters?
There are two methods:
Pythagorean Theorem
Take the Derivative with Respect to Time
Pythagorean theorem:
Let's name the horizontal distance from the wall to the bottom of ladder h, and the vertical distance from the ground to the top of ladder y. Then, because the ladder is l feet long, we may know at any time
This statement expresses the connection between
h² + y² = l²
the quantity you want (something about the vertical position of the ladder's top, y), and the quantity you've been given (something about the horizontal location of the ladder's bottom, x).
Take the Derivative with Respect to Time
h² + y² = l²
d/dt [h² + y²] = d/dt[l²]
2x dh/dt + 2y dy/dt = 0[*]
The last statement provides the necessary relationship between the unknown dy/dt and the known dh/dt.
So, once again, the problem is virtually solved.
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suppose the wavelength of the light is 500 nm . how much farther is it from the dot on the screen in the center of fringe e to the left slit than it is from the dot to the right slit?
The difference for the nth maxima is 500n farther is it from the dot on the screen in the center of fringe e to the left slit than it is from the dot to the right slit
The maximum intensity occurs at this location in a single-slit diffraction pattern as a result of secondary waves reinforcing one another there.
Distance from the screen's center dot
The difference is (500)(0) = 0 when viewed from the center (zeroth) fringe.
The difference for the first maximum is 500 nm.
It is equal to 500 x 2 1000 nm for the second.
As a result, we can say that the difference for the nth maxima is 500n.
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Rank the following areas in order of largest to the smallest change in average temperature since 1880.a. Northern Canadab. Western Europec. Southern Africad. Australiae. Eastern Pacific Oceanf. Antarctic Ocean
The geographical regions in different parts of the world are always characterized by different average temperatures during different given periods of time. Moreover, these average temperatures may increase or decrease, which depends on a lot of external geographical factors. The data representing the same has been mentioned above.
Since in 1880, the oceans can be sorted from largest to smallest based on their average temperature change. The order can be kept as-
1. Northern Canada
2. Western Europe
3. Australia
4. Southern Africa
5. Eastern Pacific Ocean
6. Antarctic Ocean
Therefore, the above order is the descending order of the area based on change in the temperature.
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What is the wavelength of 20 Hz?
The wavelength of wave is 0.15×10⁸m if its frequency is 20Hz.Waves need medium to travel from one place to another.
Expecting a sinusoidal wave moving at a proper wave speed, frequency is conversely corresponding to recurrence of the wave: waves with higher frequencies have more limited frequencies, and lower frequencies have longer wavelengths.
Frequency relies upon the mode (for instance, vacuum, air, or water) that a wave goes through. Instances of waves are sound waves, light, water waves and occasional electrical signs in a conduit.
For electromagnetic wave ,we know an expression
c=ν × λ
where c is the defined as the speed of wave in any medium,
ν is defined as the frequency of the wave and
λ is defined as the wavelength of the wave.
We know that value of c=3×10⁸m/sec and we have v=20Hz
Therefore,3×10⁸=20×λ
=>λ=(3×10⁸)/20
=>λ=0.15×10⁸m
Hence, wavelength of wave is 0.15×10⁸m.
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how can an emperor penguin on the outer edge of a huddle conserve heat as efficiently as a penguin in the middle of the huddle?
The penguin that is currently on the outside of the group will eventually be in the middle. Because huddles are dynamic structures, no penguin can stay on the edge for very long.
While swimming in the ocean, a penguin's fat coat shields them from the cold. However, on land, their feathers serve as a means of heat retention. Instead of being long and flat like those of flying birds, penguin feathers are short and contain an underlayer of soft, woolly down. When a penguin comes out of the water, its feathers are excellent at shedding water. They cross each other, creating a good streamlined effect in the water and excellent wind-shedding properties on land. Penguins can puff their feathers out when it's extremely cold to capture more air and provide better insulation.
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what fraction of ice is submerged when it floats in freshwater, given the density of water at 0 c is very close to 1000 kg / m3
The fraction of ice submerged when it floats in freshwater is 0.9.
Given that,
The density of water is 1000 kg/m³
The density of ice is 0.917 gm/cm³
Converting gm/cm³ to kg/m³
We get, 0.917 gm/cm³ = 917 kg/m³
Let ρ₁ = 1000 kg/m³, ρ₂ = 917 kg/m³
V₁ = Volume of water displaced = x V₂
V₂ = Volume of ice submerged
Archimedes principle states that buoyant force on the ice will be equal to the weight of the water displaced. It can be written as an equation as:
ρ₁ V₁ = ρ₂ V₂
V₁ = ρ₂ V₂/ ρ₁
x V₂ = 917 *V₂/ 1000
x = 0.9
Thus, the fraction of ice submerged in water is 0.9.
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You have a galaxy that is too far away to see individual stars, but you can see a little smudge of light from the galaxy.What would be the best way to find the distance to this galaxy?Group of answer choices- Red shift- Radar ranging- Triangulation- Cepheid variables- H-r diagram, brightness-distance- Type 1A supernova, brightness-distance
Using a high-resolution telescope like the Hubble space telescope is the most effective approach to determining the distance to a galaxy.
The most distant star ever observed is Icarus, a huge blue star that covers more than half the universe. Even with the biggest telescopes in the world, they are typically too faint to be seen.
However, scientists were able to find this far-off star and achieve new distance records because of a natural variation that considerably intensifies the star's feeble shine. Icarus was also used to test the dark matter hypothesis and investigate the makeup of nearby galaxy clusters.
This star is so far away, hidden in a very vast spiral galaxy, that it took nine billion years for its light to reach Earth. The cosmos seems to have existed when it was around 30% older than it is now.
This star can be seen because of gravitational lensing, a cosmic phenomenon. Light is bent and amplified by the gravity of large foreground galaxy clusters, which functions like a natural lens in the cosmos. A single backdrop object's light can produce several images. Light is bright enough to see extremely faint and far-off objects and is substantially intensified.
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Two forces act concurrently on an object. Their resultant force has the largest magnitude when the angle between the forces is.
Answer:
If the two forces are acting simultaneously on the body, then vector addition will supply us with the resultant force. Note that when the two forces are acting directly opposite each other, we expect the resultant to be smallest, and conversely, when they are acting in exactly the same direction, they will exert the greatest resultant force (simply the sum of the two force magnitudes).
if the pendulum is taken into the orbiting space station what will happen to the bob?
If the pendulum is taken into orbiting space it will continue to oscillate in a vertical plane with the same period.
Oscillation is the repetitive or periodic variation, normally in time, of some degree about a central price or among two or extra exclusive states. Acquainted examples of oscillation include a swinging pendulum and alternating present-day.
Oscillatory movement is defined because of the to and fro movement of the body about its constant function. An oscillatory movement is a form of periodic motion. Examples of oscillatory motion are vibrating strings, swinging of the swing, and so on.
As the pendulum acts closer to the other quit of its swing, all of the kinetic energy turns returned into potential power.
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Which electromagnetic radiation wavelength is efficiently observed using ground based telescopes?
The majority of electromagnetic energy from space cannot reach the Earth's surface. The only light that reaches sea level is radio waves, visible light, and some ultraviolet light.
Some infrared wavelengths can be observed by astronomers by mounting telescopes on mountain peaks. The majority of space-derived electromagnetic radiation cannot reach the surface of the Earth due to the atmosphere. This diagram demonstrates how deep into the atmosphere various EM spectrum wavelengths can go before being absorbed. Radio and visible light only partially make it to the surface.A typical natural eye can detect frequencies between 380 and 750 nanometers. This contrasts with a band nearby 400-790 terahertz in terms of repetition. These restrictions are not specifically stated and may vary from person to person. These limits of human insight can extend to wavelengths of 310 nm (bright) and 1100 nm under perfect conditions (close to infrared).To know more about electromagnetic energy
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imagine that the source is to the right of the listener, so that the positive reference direction (from the listener to the source) is in the x direction. if the listener is stationary, what value does fl approach as the source's speed approaches the speed of sound moving to the right?\
The cost of method because the source's pace procedures the velocity of sound transferring to the proper will be 1/2fs.
When each movements withinside the same route with same velocity n' = n, i.e. there can be no Doppler impact because of the truth relative motion amongst deliver and listener is zero.
The motion of the observer will adjust the frequency of the measured sound from a table certain deliver: An observer moving in the direction of the deliver measures a higher frequency. An observer moving a ways from the deliver measures a lower frequency.
The Doppler impact is an alteration withinside the determined frequency of a legitimate due to motion of each the deliver or the observer. The actual trade in frequency is called the Doppler shift.
It will cause an increase in frequency heard thru an observer at the same time as the deliver is moving withinside the direction of the observer and a decrease in frequency heard thru an observer at the same time as the deliver is moving a ways from the observer. The doppler impact can be determined at the same time as an ambulance with a siren on procedures and passes an observer.
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a moving car has 40,000 j of kinetic energy while moving at a speed of 7.0 m/s. a spring-loaded automobile bumper compresses 0.30 m when the car hits a wall and stops. What can you lean about the bumpers spring using the information?
The bumper's spring constant is 8.9 × 10^5 N/m.
Given that energy wasn't lost from the point when the car had 40,000 J of KE to when it impacted the wall, i.e. the energy was perfectly conserved (assumption)
The kinetic energy of the car would be converted to the Elastic potential energy of the bumper spring. According to the law of conservation of energy.
K.E = Elastic P.E = (1/2)kx^2. .....1
Where;
k = bumper spring constant.
x = compression length of spring.
From equation 1
k = 2K.E/x^2
K.E = 40,000J
x = 0.30m
k = 2(40000)/(0.30^2)
k = 80000/0.09
k = 888,888.89N/m
k = 8.9 × 10^5 N/m
So the bumper's spring constant is 8.9 × 10^5 N/m.
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If the acceleration of the body is towards the center what is the direction of the unbalanced force.
If the acceleration of the body is towards the center, the direction of the unbalanced force is also toward the center.
According to the Newton's 2nd law of motion, the direction of the acceleration is the same as the direction of the net force.
Hence, if the acceleration of the body is towards the center, the direction of the unbalanced force is also toward the center.
This is called a centripetal force and its direction is always toward the center. The magnitude of the force is given by:
F = mv²/r
Where:
F = centripetal force
m = mass of the object
v = tangential velocity
r = radius of the circle trajectory
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If Emily throws the ball at an angle of 30˚ below the horizontal with a speed of 12m/s, how far from the base of the dorm should Allison stand to catch the ball?
Assume the vertical distance between where Emily releases the ball and Allison catches it is 4.0m
Answer:
5 m
Explanation:
Allison is 4 m LOWER than Emily
vertical component = 12 * sin(-30) = - 6 m/s
vertical distance equation
d = do + vot + 1/2 at^2
- 4 = 0 + -6 t + 1/2 (-9.81) t^2
- 4.905 t^2 - 6t + 4 = 0 Use Quadratic Formula to find t =.479 s
So the ball flies with its HORIZONTAL component for .479 s then Alli catches it
Horizontal component = 12 cos(- 30) = 10.4 m/s
10.4 m/s * .479 s = 4.977 =~ 5 m
Refer to the photo taken.
Answer: 4.98m
(01. 03 MC)
An object i moving 10 m/ to the outh. After one minute, it moving at a rate of 15 m/. Explain what type of motion thi i decribing. Then explain
whether thi repreent a calar or vector quantity
The motion being described is linear motion, and since it has direction, it is a vector quantity.
What type of motion is linear?A linear motion is a style of motion in which the object's movement is inversely proportional to its speed and duration of motion.
This type of motion also happens in a straight line.
The following is the formula for final velocity in a linear type of motion:
v = u + at
where;
V is the object's final speed or moving rate.
u is an object's initial speed, and a represents its acceleration.
t is the object's motion in time.
Our equation is formed by the supplied statement as follows:
v = u + at
15 m/s = 10 m/s + 60a
Thus, the final velocity formula, which is a vector quantity, is shown by the equation above.
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the sun delivers an average power of 1.529 w/m2 to the top of neptune's atmosphere. find the magnitudes of max and max for the electromagnetic waves at the top of the atmosphere.
The magnitudes of Emax and Bmax for the electromagnetic waves at the top of the Neptune's atmosphere are 33.95 N / C and 11.31 * 10⁻⁸ T respectively.
I = ( Emax )² / ( 2 μo c )
I = Intensity
Emax = Maximum Electric field
μo = Absolute permeability of free space
c = Speed of light
μo = 4π * 10⁻⁷ H / m
c = 3 * 10⁸ m / s
I = 1.529 W / m²
Emax² = I * 2 μo c
Emax² = 1.529 * 2 * 4π * 10⁻⁷ * 3 * 10⁸
Emax² = 1152.25
Emax = 33.95 N / C
I = c Bmax² / ( 2 μo )
Bmax² = 2 μo I / c
Bmax² = ( 2 * 4π * 10⁻⁷ * 1.529 ) / ( 3 * 10⁸ )
Bmax² = 128 * 10⁻¹⁶
Bmax = 11.31 * 10⁻⁸ T
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What is the formula for internal energy change?
The formula of internal energy change is dU=nCdT and dU=q-w
In thermodynamics, the property or function of state that defines the energy of matter in the absence of the effects of capillarity and external electric, magnetic, or other fields.
Like other functions of state, the value of energy depends on the state of matter and not on the nature of the process by which matter reaches that state.
According to the first law of thermodynamics, when a system changes state by a process involving only work, work equals the change in internal energy.
This law also implies that if both heat and work are involved in a system's change of state, the change in internal energy is equal to the heat applied to the system minus the work done by the system.
dU=nCdT
dU=q-w
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The velocity of a proton in an accelerator is known to an accuracy of 0.250% of the speed of light. (This could be small compared with its velocity.) What is the smallest possible uncertainty in its position?
The smallest possible uncertainty in the position of the proton is 4.211×1/10¹⁴m.
The velocity of a proton in an accelerator is known to an accuracy of 0.250% of the speed of light.
∆x∆v = h/4πm
uncertainty in velocity, ∆v = 0.25×3×10⁸/100 = 4.211×1/10¹⁴m
What is a proton?
The number of protons in the nexus of an element is called the infinitesimal number. In the titles of any particular element, the number of protons in the capitals is always the same. A snippet of simple hydrogen has a nexus conforming of a single proton. The capitals of all other rudiments nearly always contain neutrons in addition to protons. Protons need not be confined to the capitals of titles. When protons are set up outside infinitesimal capitals, they acquire fascinating, crazy and potentially dangerous parcels, analogous to those of neutrons under analogous circumstances.To know more about proton, click the link given below:
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objects that radiate relatively well group of answer choices absorb radiation relatively well. reflect radiation relatively well. absorb and reflect radiation well.
They absorb radiation relatively well.
All bodies continuously emit and absorb radiation.
The rate of loss of heat from an warm object is proportional to temperature.
The perfect example of good emitter and absorber is black body, whereas a very shiny surface will be a poor emitter and absorber.
The intensity of radiation increases as body gets hotter and radiation is released.
Stars are also considered the best example of black body radiation.
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Which of the following is not important when shopping for a credit card?
a. the costs of the card
b. the features of the card
c. what the card looks like
d. how you plan to use the card
Answer:
C
Explanation:
You don't want to buy a 1000 dollar credit card.
The features are useful, like the little sync feature to automatically pay is awesome.
The plan of use for the card is important
the card aesthetic doesn't affect the card in any way, just your personal preference
mechanical energy is select one because the roller coaster select one energy due to friction and air resistance as it travels down the track.
Mechanical energy is not conserved because the roller coaster loses energy due to friction and air resistance as it travels down the track.
Mechanical energy refers to the sum of kinetic energy and potential energy. It refers to the energy of an object in motion or the energy that is stored in objects by their position. In a system, mechanical energy is constant when there are only gravitational forces acting in it or it is in an otherwise idealized system – a system which is lacking or reasonably negligible dissipative forces, such as friction and air resistance. Hence, mechanical energy is conserved when there are no frictional forces acting on the system. As the roller coaster loses energy due to friction and air resistance as it travels back down the track, the mechanical energy is not conserved.
Note: The question is incomplete. The complete question probably is: Mechanical energy is (conserved, not conserved) because the roller coaster (loses, gains) energy due to friction and air resistance as it travels down the track.
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A moving car has 40,000 \mathrm{J}40,000J of kinetic energy while moving at a speed of 7.0 \mathrm{m} / \mathrm{s}7.0m/s. A spring-loaded automobile bumper compresses 0.30 \mathrm{m}0.30m when the car hits a wall and stops. What can you learn about the bumper’s spring using this information? Answer quantitatively and list the assumptions that you made.
Assuming the car stops instantaneously and that the spring is the only force acting against the car's kinetic energy:
When the car hits the wall, the spring-loaded bumper compresses 0.30 m. This means that the spring must have exerted a force on the car in the opposite direction of its motion.
The spring must have stored a minimum of 286,000 J (40,000 J of kinetic energy + 0.3 m of potential energy) of energy to bring the car to a stop.
Assumptions:
- The car stops instantaneously
- The spring is the only force acting against the car's kinetic energy
- The spring is linear (i.e. Hooke's Law applies)
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An ostrich with a mass of 163 kg is running to
the right with a velocity of 14 m/s.
Find the momentum of the ostrich
Answer in units of kg · m/s.
The momentum of the ostrich is determined as 2,282 kg m/s.
What is momentum?
The momentum of an object is defined as the product of mass and velocity of the object.
The momentum of the ostrich running at the given velocity is calculated by applying the following formula as shown below.
P = m v
where;
m is the mass of the ostrichv is the velocity of the ostrichP = 163 kg x 14 m/s
P = 2,282 kg m/s
Thus, the momentum of the ostrich is a function of mass of the ostrich and velocity of the ostrich.
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Most of the radiation released from the failed nuclear reactor was from fission products.
a. True
b. False
Most of the radiation released from the failed nuclear reactor was from fission products is a true statement.
What is fission reaction?
Fission happens once a nucleon slams into a bigger atom, forcing it to excite and split into 2 smaller atoms—also called fission product. extra neutrons also are free which will initiate a sequence reaction. once every atom splits, an amazing quantity of energy is released
Most of the radiation released from the failing apparatus was from fission products iodine-131, cesium-134 and cesium-137. atomic number 53 features a comparatively short half-life of eight days, in line with UNSCEAR, however it's quickly eaten through the air and tends to localize within the thyroid gland.
In the atomic power plant, a specific style of radiation called ionising radiation, that may be a type of energy that is capable of removing electrons from atoms, is emitted each naturally from U and as a part of the fission process.
Therefore, the statement, "most of the radiation released from the failed nuclear reactor was from fission products" is a true statement.
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the temperature of a blackbody radiator is increased. what will happen to the most intense wavelength of light emitted as this increase occurs?
Answer:
As the temperature of a blackbody radiator is increased, the most intense wavelength of light emitted will shift to shorter wavelengths. This is because the emission spectrum of a blackbody radiator is a function of its temperature, and as the temperature increases, the peak of the emission spectrum will shift to shorter wavelengths.
This phenomenon is known as Wien's displacement law, which states that the most intense wavelength of light emitted by a blackbody radiator is inversely proportional to its temperature. In other words, as the temperature increases, the most intense wavelength of light will decrease. This shift can be observed in the emission spectra of different objects, such as the sun, which has a peak emission at shorter wavelengths (in the visible range) at higher temperatures.
Explanation:
What is the frequency of a sound wave with a period of 2 seconds?
The frequency of a sound wave with a period of 2 seconds is 0.5Hz..Frequency is said to be inversely proportional to time period.
Frequency suggests the amount of cycles in a particular unit of time. The avocation for why the sky is blue or anything contains assortment can be really figured out by it. In addition, it can similarly get a handle on why the voice of specific individuals is significant while for others it isn't significant. Moreover, recurrence plays a significant impact on the notes of a piano or different instruments.
This number of occasions is obviously a major property of a wave. The waves incorporate people reliably. Besides, light is an electromagnetic wave and the fan is a sound wave. A wave is certainly a vibration and conveys energy with it. By and large objective, the amount of waves passing by each second suggests the repeat of the wave. Additionally, its assessment occurs in Hertz (Hz).
So, we know a formula
Frequency=1/Time period
which states that frequency is just converse of time period.
=>v=1/2
=>v=0.5/sec
or v=0.5Hertz.
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How much energy is in the elastic potential energy store of a spring?
The elastic potential energy of a spring is the product of one-half of its spring constant and the square of its deformation.
The potential energy of the spring is defined as the potential energy stored as a result of the change in the shape of a particular elastic object or a spring.
The energy is stored before the force is removed, and the spring comes back to its original shape. It does work in the process. The deformation could involve compressing, stretching, or twisting the object.
It is calculated as the work done in stretching the spring, and it depends on the spring constant k, and the distance stretched.
The potential energy formula of a spring is given as
P.E = ½ k x2
Where,
k = the spring constant
x = the spring displacement
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