a. The integral expression for the change in potential energy of the spring is ΔU = ∫kxdx
b. The change in potential energy of the spring is ΔU = k(x₂² - x₁²)/2
Since we are given the differential elastic potential energy, du, to find the integral expression, we integrate du.
a. The integral expression for the change in potential energy of the springThe integral expression for the change in potential energy of the spring is ΔU = ∫kxdx
Since the infinitesimal elastic potential energy of the spring du = kxdx, integrating both sides of the expression, we have
ΔU = ∫du
ΔU = ∫kxdx
So, the integral expression for the change in potential energy of the spring is ΔU = ∫kxdx
b. The elastic potential energy of the springThe change in potential energy of the spring is ΔU = k(x₂² - x₁²)/2
Performing the integration for the change in potential energy of the spring
ΔU, we have that integrating for change in length from x₁ to x₂
ΔU = ∫kxdx
ΔU = k[x²/2]₁²
ΔU = kx₂²/2 - kx₁²/2
ΔU = k(x₂² - x₁²)/2
So, the change in potential energy of the spring is ΔU = k(x₂² - x₁²)/2
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During anomalous expansion of water ,heat transfer is limited to conduction and radiation only ,explain.
Heat transfer is limited to conduction and radiation only in anomalous expansion of water simply because of the temperature at which the expansion occurs and density
What is anomalous expansion of water?Anomalous expansion of water is a property of water in which water expands instead of contracting.
Anomalous expansion of water makes water less dense. The major effect of this anomalous expansion it will still remain less dense and at the surface of water.Interestingly, this expansion occurs when it is cooled from 4°C to 0°C.Learn more about properties of water:
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Why is the ‘dark side’ of the moon a misnomer?
Answer:
For starters, “dark side” is a misnomer. The far side may be constantly facing away from Earth, but as it orbits the Earth it sometimes faces the sun just as the bright side does. Thus the far side is subject to the same day/night temperature extremes as the side facing Earth.
Explanation:
a 65 kg climber on top of Mount Everest (8800 m high). what is the gravitational potential energy?
Answer:
He has 5,609,404 J of potential energy
Explanation:
P.E. = M*G*H
65 * 9.8^2 * 8800
The potential energy of the climber whos weight is 65 kg at a height of 8800 m is 5.6 × 10⁶ Joules.
What is Potential energy?The potential energy of a body is defined as that generated by virtue of its position which is the form of energy stored in an object when it is at rest. When a body stops its motion, its kinetic energy is converted into potential energy.
Potential energy is related to the mass 'm' and height 'h' of the object from the ground and the acceleration due to gravity g is expressed as:
PE = m g h.
For above given information, mass of the climber = 65 Kg
Height of the mountain = 8800 m
g = 9.8 m/s²
Thus, PE = 65 kg × 8800 m × 9.8 m/s² = 5.6 × 10⁶ Joules.
Thus, the potential energy of the climber will be 5.6 × 10⁶ Joules.
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Which of the following statements is true?
A spark causes combustion in a gasoline engine.
All oxidation reactions cause explosions.
Batteries were invented during the 20th century.
All oxidation reactions absorb heat.
A satellite is in elliptical orbit with a period of 8.00 x l-0a s about a planet of mass 7.00 x t024 kg. At aphelion, at radius 4.5 x 1-07 m, the satellite's angular speed is 7.L58 x 10-s rad/s. What is its angular speed at perihelion
Given that the satelite's angular speed is given,The angular speed at the perihelion is : 9.2426 * 10⁻⁵ rad/s
Given data:
Satellite period = 8 * 10⁴ s
mass of planet (Wa) = 7 * 10²⁴ kg
Radius of Aphelion ( Ra ) = 4.5 * 10⁷ m
satellite angular speed ( Vp )= 7.158 * 10⁻⁵ rad/s
Determine the angular speed at the perihelionApplying kepler's law
VpRp = VaRa
where:
Vp = ( Ra / Rp ) Va
and
Wp = Vp / Rp = ( RA / Rp )² Wa ---- ( 1 )
Note : Assuming a is distance from the center oto the end of the satelite
Rp = 2a - Ra ---- ( 2 )
Next step : determine the value of a
applying the formula below
a = [tex](\frac{T\sqrt{Gmplanet} }{2\pi } )^{2/3}[/tex] --- ( 3 )
where ; T = 8 * 10⁴ s, G = 6.67 * 10⁻¹¹ , Mplanet = 7 * 10²⁴ kg
input values into ( 3 )
a = 42300747.03 m
Final step : determine the angula speed at perihelion
Back to equation ( 1 ) and ( 2 )
Wp = ( RA / 2a - Ra )² Wa
= 9.2426 * 10⁻⁵ rad/s.
Hence we can conclude that Given that the satelite's angular speed is given,The angular speed at the perihelion is : 9.2426 * 10⁻⁵ rad/s
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why do we see optical illusion?
Optical illusions occur because our brain is trying to interpret what we see and make sense of the world around us. Optical illusions simply trick our brains into seeing things which may or may not be real.
friction causes kinetic energy to be converted into
A. Potential energy
B. Thermal energy
C.mechanical energy
D. Electrical energy
Which one is it pls help me
Answer:
Thermal Energy
Explanation:
When friction acts between two surfaces that are moving over each other, some kinetic energy is transformed into heat energy. Otherwise known as thermal energy.
Without using a micrometer screw gauge, how do I find the average diameter of a long piece of thin wire using a metre rule and a uniform glass rod?
Answer:
Wind the long piece of thin wire around the uniform glass rod multiple times, find the length of the total diameters using the metre ruler, and divide by the number of times you wound it around the rod.
Explanation:
Since the diameter of one long piece of thin wire is too thin to be measured by a metre ruler, you can wind it multiple times and push it side by side to get a length you can measure.
For example, if you wound it around 20 times and the total length of 20 diameters of the wire side-by-side is 2.0 cm, one winding, which is the diameter would be 2.0cm ÷ 20 = 0.10cm or 1mm.
What are the differences between tidal power and hydroelectric power?
Thanks to anyone who helped
Answer: With Hydroelectric power water is artificially stored in a high place, so it can be released and flow to a low place and through a generator. With Tidal energy the movement of water is also used to power a generator, but the flow of water is caused by the changing tides.
Delusions of grandeur is the false belief that __________. a. one is being manipulated b. emphasizes self-importance c. emphasizes self-manipulation d. one is being harassed
The delusion of grandeur is a false belief that emphasizes self-importance. Option b is correct.
What are delusions?Delusions are characterized as persistent, erroneous beliefs that contradict reality. A person in a delusional condition is unable to let go of their convictions, despite opposing facts.
Misinterpretation of circumstances frequently reinforces delusions. Many illusions are accompanied by some degree of paranoia.
One of the most prevalent is delusions of grandeur. It's when you imagine you have more power, riches, intelligence, or other great qualities than you actually do.
The delusion of grandeur is a false belief that emphasizes self-importance.
Hence option b is correct.
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Answer:
B. emphasizes self-importance
Explanation:
got it right on edge 2022
how is the effect of balanced forces different from that of unblanced forces on the motion of an object
Answer:
Balanced forces do not result in any change in motion.
Explanation
forces applied to an object in opposite directions that are not equal in size. Unbalanced forces result in a change in motion. friction the force that opposes the motion or tendency toward motion of two objects that are in contact.
Answer:
balanced forces are equal in size and opposite in direction
An electron (me = 9.1 x 10-31 kg) traveling south at a constant speed of 5.0 x 106 m/s enters a
region where the downward component of earth's magnetic field is 3.5 x 10-5 T. What is the
magnitude and direction of the acceleration of the electron at this instant?
Answer:
F = Q V X B
V X B = south X downard = East - deflection is West
Since Q is negative the deflection = West
a = F / m = Q V B / m
a = 1.6E-19 * 5*E6 * 3.5E-5 / 9.1E-31
a = 1.6 * 5 * 3.5 / 9.1 * 10^13 m/s^2 = 3.1 * 10^13 m/s^2
Which planets are terrestrial? select three options. jupiter mars mercury uranus venus
Mars, mercury, and venus are the planets that are terrestrial planets.
What is the terrestrial planet?A terrestrial planet is one that is predominantly made up of silicate rocks or metals. The inner planets nearest to the Sun, are Mercury, Venus, Earth, and Mars, as terrestrial planets within the solar system.
Mars, mercury, and venus are the planets closest to the sun.
Hence mars, mercury, and venus are the planets that are terrestrial planets.
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What happens when a mixture is separated
A) A substance is lost
B) A new substance is formed
C) The substances stay the same
D) The mass of the substances change
Answer:
the answer would be c
Explanation:
How well do you think a model can demonstrate the principles of stratigraphy?
Stratigraphy is a discipline aimed at identifying layers of sedimentary and/or volcanic rocks, which is mainly based on the principle of superposition.
What is stratigraphy?
Stratigraphy refers to the science based on the identification of different layers in sedimentary and/or volcanic rocks.
Stratigraphy as a discipline is mainly cemented on the principle of superposition, which indicates that older layers of sediment are located on the bottom.
Stratigraphy allows us to understand the geological past of a region, which is important in different disciplines such as biogeography.
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why empty tin-cans ocillating for a longer time
Answer: When you speak into the can, your voice creates air vibrations that travel into the can, vibrate the bottom of the can, which in turn vibrates the string all the way over to the other can, in turn vibrating the other can's bottom, then the air again.
Explanation:
Cacharrerosdelaweb. Com 2019 12 que es keylogger html.
Los keyloggers son software o hardware que tienen la función de guardar la información que se escribe en el teclado de una computadora.
¿Qué es keylogger?Un keylogger es un término para referirse a un software o hardware que tiene la función de seguir y registrar todas y cada una de las pulsaciones que se hacen en el teclado de una computadora.
Generalmente, los keyloggers son formar ilícitas de obtener información confidencial del usuario de un computador sin su consentimiento. En los últimos años, se ha relacionado a los keyloggers con actividad digital delictiva debido a que es una de las formas que utilizan los criminales para robar información confidencial como cuentas bancarias.
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a material used by living things for growth and other life functions is a?
Answer:
I believe it wouled be Nutrients
Explanation:
hope this helps if not please let me know
A (1.03x10^2)-mA current is used to charge up a parallel plate capacitor. A large square piece of paper is placed between the plates and parallel to them so it sticks out on all sides. What is the value of the integral ∮B⃗ .ds⃗ around the perimeter of the paper? Express your result in T.m with three significant figures.
Since a 1.03 × 10² mA current is used to charge up the parallel plate capacitor and a large square piece of paper is placed between the plates and parallel to them so it sticks out on all sides, the value of ∫B.ds around the perimeter of the paper is 1.29 × 10⁻⁷ Tm
Ampere's LawThis shows the relationship between the magnetic field, B, the path of integration, ds and the current enclosed by the magnetic field, i.
Ampere's law is given mathematically as
∫B.ds = μ₀i where
B = magnetic field, ds = arc length of path of integration, μ₀ = permeability of free space = 4π × 10⁻⁷ Tm/A and i = current enclosed by the path of integration, ds.Given that for the large square piece of paper, the current used to charge the capacitor is
i = 1.03 × 10² mA = 1.03 × 10² × 10⁻³ A = 1.03 × 10⁻¹ A and ds = path length around the perimeter of the paperThe value of ∫B.ds around the perimeter of the paperSince ∫B.ds = μ₀i
Substituting the values of the variables into the equation, we have
∫B.ds = μ₀i
∫B.ds = 4π × 10⁻⁷ Tm/A × 1.03 × 10⁻¹ A
∫B.ds = 4.12π × 10⁻⁸ Tm
∫B.ds = 12.94 × 10⁻⁸ Tm
∫B.ds = 1.294 × 10⁻⁷ Tm
∫B.ds ≅ 1.29 × 10⁻⁷ Tm
So, the value of ∫B.ds around the perimeter of the paper is 1.29 × 10⁻⁷ Tm
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Which two energy sources can help a star maintain its internal thermal pressure?.
8.
A microscopic view of a sheet of paper is shown in the diagram at the
right. Would you expect this sheet of paper to cause light to undergo
regular or diffuse reflection?
Explain.
9.
From what type of surface do you think it would be easier to read?
From pages, which are rough, or from pages which are smooth and
glossy?
Explain your answer.
A microscopic view
of a sheet of paper.
10. Driving at night offers a great example of diffuse vs. regular reflection. A dry road is a diffuse
reflector, while a wet road is not. On the diagrams below, sketch the reflected light off a wet and dry
surface.
Dry Surface
Wet Surface
Why would the wet road appear to the driver to be darker than the dry road?
11. The diagram below contrasts the reflection of light off a smooth surface (left) with the reflection of
light off a rough surface (right). Compare the two diagrams and explain why the reflected rays for a
rough surface do not result in the formation of an image.
Based on the nature of reflection of light from surfaces, smooth surfaces produce regular reflection while rough surfaces produce diffuse reflection.
What is reflection of light waves?Reflection of light waves refers tobtye bouncing back of light waves when they hit a shiny surface.
Depending on the nature of the surface, reflection of light waves can either be regular if diffuse.
Smooth surfaces produce regular reflection while rough surfaces produce diffuse reflection.
Based on the properties of reflection:
A microscopic view of a sheet of paper shows that the surface is rough, thus it would produce diffuse reflection. Rough pages are easier to read from than smooth and glossy surfaces because they produce diffuse reflection while reading off smooth surface causes a glare due to intense regular reflectionA wet road appears darker because more light passes through and it reflects less light and looks darkerdiffuse reflection do not all pass through the principal focus, thus an image is not formed off a rough surfaceTherefore, it can be concluded that the rough surfaces produce diffuse reflection while smooth and glossy surfaces produce regular reflection.
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the reading on an electric meter was 2345 kWh, and one month later it was 3456 kWh. how much was the electric bill if the electricity costs $0.10 per kilowatt-hour?
An electric meter reads 2345 kWh and 3456 kWh a month later. At $0.10/kWh, the bill for this energy consumption will be $111.1.
What is a kiloWatt-hour?A kiloWatt-hour (kWh) is a unit of energy equal to one kilowatt of power for one hour.
Step 1. Calculate the energy consumption in one month.The energy consumption will be equal to the difference between both readings.
E = 3456 kWh - 2345 kWh = 1111 kWh
Step 2. Calculate the cost of the bill.The cost of electricity is $0.10/kWh.
1111 kWh × $0.10/kWh = $111.1
An electric meter reads 2345 kWh and 3456 kWh a month later. At $0.10/kWh, the bill for this energy consumption will be $111.1.
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Which types of electromagnetic waves have longer wavelengths than the waves that make up visible light? select three options. radio waves gamma rays microwaves infrared light ultraviolet light x-rays
Answer:
infrared light have longe rwave length
The three electromegnetic waves that have longer wavelengths that make up visible light will be microwaves, radio waves, and infrared light.
What is an electromagnetic wave?
EM waves are another name for electromagnetic waves. Electromagnetic radiations are made up of electromagnetic waves created when an electric field collides with a magnetic field.
Electromagnetic waves may alternatively be defined as the combination of oscillating electric and magnetic fields. Maxwell's equations are solutions to electromagnetic waves.
Of all electromagnetic waves, radio waves have the longest wavelength.
Hence the three electromegnetic waves that have longer wavelengths that make up visible light will be microwaves, radio waves, and infrared light.
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Has the United States always been a country with many formal organizations
Answer:
yes
because they love you
a car of mass 800 kg is travelling at 12m/s the car accelerates over a distance of 240 m there force causing this acceleration is 200 newton determine the work done on the car and its final velocity car
Answer:
See below
Explanation:
Force X distance = work
200 N * 240 m = 48 000 N-m = 48 000 j
F = ma
200 = 800 a
a = 1/4 m/s^2
d = v t + 1/2 a t^2
12 m/s t + 1/2 1/4 m/s^2 t^2 = 240
shows t = 17 sec (via Quadratic Formula)
final velocity = 12 + at = 12 + 1/4(17) = 16.26 m/s
He much current is needed to operate a radio with a power of 80 watts when a potential difference of 135v is applied across itl
Answer:
593 mAmps
Explanation:
Power = 80 watts = VI
80 = 135 I
80/135 = I =
Water vapor is an important greenhouse gas in Earth's atmosphere. The map here shows the average amount of water vapor in a column of atmosphere during one month in 2015.
Based on the data in the map where would you expect temperatures on Earth to be warmest?
• At higher altitudes
• Over the poles
• At the equator.
• Over landmasses
Answer:
The answer in C- At the equator
Explanation:
just took the test and got it correct
Based on the data in the map, the temperatures on Earth to be warmest will be at equator. The third option is correct.
What is greenhouse gas?The gases which get easily trapped inside the glasses and increase the temperature of the atmosphere causing the global warming level to increase overall.
Water vapor is an important greenhouse gas in Earth's atmosphere. The map here shows the average amount of water vapor in a column of atmosphere during one month in 2015.
Based on the data in the map, the temperatures on Earth to be warmest will be at equator.
Thus, third option is correct.
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Which statement describes the law of conservation of energy
Answer:
law of action and riactiond
use convention factors to convert
20kHz to Hz
Answer:
20kHz = 20000Hz
Explanation:
The frequency in hertz (Hz) is equal to the frequency in kilohertz (kHz) times 1000
Distance meters Time (seconds) Trial Tria 2 Trials Average 3 053 059 0.52 055 6 106 719 104 Uning the values trom the data table calculate the speed of the object that traveled 3 meters Round your value to two decimal places past the Decimal 5 4545 m/s 0.18 m/s 0183333 ms 545ms
Answer:
I'm pretty sure it's the last one, or D.
Explanation:
I did the math in my head so forgive me if I'm wrong :)