The change in internal energy will be 27J when heat is released.
Every time a process occurs, it is usually accompanied by an energy shift. Energy comes in many forms, such as heat, light, and work.
The generation or absorption of energy in various processes dictates that each substance must be associated with a certain amount of energy. Its actual value depends on the nature of the material and the conditions of temperature, pressure, volume and composition.
The sum of various types of energy associated with atoms and molecules, such as electronic energy (Ee), nuclear energy (En), chemical bond energy (Ec), potential energy (Ep), and kinetic energy (Ek). Sum of translational energy (Et), vibrational state energy (Ev), and rotational energy (Er).
Represented by the symbol U or E.
U or E = Ee + En + Ec + Ep + Ek
The energy stored in matter in this way is called internal energy.
U=65-38=27J
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From the point of view of conductive heat loss, which adaptations would be beneficial to animals living in extremely cold climates? (all that apply)
A. Large surface area
B. Lots of tissues, like fat, with low thermal conductivity
C. Lots of tissues, like muscle, with high thermal conductivity
D. Thick skin
E. Thin skin
F. Small surface area
The adaptive behavior that is beneficial to the animals that live in the extreme cold climates was found to be Lots of tissues, like fat, with low thermal conductivity.
define thermal conductivity ?
A material's thermal conductivity is a measure of its ability to conduct heat.
Heat transfer occurs at a slower rate in low thermal conductivity materials than in high thermal conductivity materials. Metals, for example, have high thermal conductivity and are particularly effective at transferring heat, whereas insulating materials like Rockwool or Styrofoam are the reverse. Materials with high thermal conductivity are commonly used in heat sink applications, while materials with low thermal conductivity are used as thermal insulation. Thermal resistivity is the counterpart of thermal conductivity.
Lots of tissues, such as fat, with low heat conductivity were discovered to be useful to animals living in extreme cold climates.
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1-kg of water (specific heat 4200 j/(kg c)) is mixed with 1-kg of a mystery substance. the water is initially at 35 c, and the mystery substance is initially at 20 c. the final temperature the mixture reaches is 25 c. what is the heat capacity of the mystery substance? answer in j/(kg c).
When 1 kg of water (specific heat 4200 j/(kg c)) and 1 kg of a mystery substance are combined, the mystery substance has a heat capacity of 8400 J/kg C. Initial water temperature is 35 c.
The quantity of heat that must be applied to an object in order to cause a unit change in temperature is known as the specific heat or thermal capacity of that object. Joules per kelvin (J/K) is the SI unit for heat capacity. An extensive property is heat capacity. The unidentified compound was discovered to be extremely similar to the drug fluoxetine but not exactly the same. In actuality, the two compounds are isomers, which are atoms that are bound to one another in distinct ways despite having the same number and type of atoms.
1*4200(35-25) = 1*C(25-20)
C = (1*4200*10)/5
C = 8400J/kg C
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how could we counteract the impact of fast fashion (select all that apply, there are one to four possible correct answers)?
Buy quality and consume less
Repurpose our clothes
Buy Second Hand Swap, & Rent Clothing
Change our attitudes toward fast fashion
Shop and drop for charity
Choose organic cotton
Rent or borrow clothes
Watch your washing
Even the greenest garment uses resources for production and transport to your home, creating some environmental impact.More and more fashion brands take into account the environmental and social impact of their production.Don’t throw your clothes in the normal bins! Most of them consist of synthetic, non-biodegradable fiber and will just pile up in the landfill.
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calculate the velocity of a non-relativistic electron whose de broglie wavelength is 3.637 nm.
The velocity of a non-relativistic electron whose de broglie wavelength is 3.637 nm is 5.82 x 10^6 m/s.
The velocity of a non-relativistic electron can be calculated using the formula v = h / mλ, where h = Planck's constant, m = the mass of the electron, and λ = the de Broglie wavelength of the electron.
Assuming the mass of the electron is 9.11 x 10^-31 kg, the velocity of the electron can be calculated as follows:
v = (6.63 x 10^-34 m^2 kg / s) / (9.11 x 10^-31 kg * 3.637 x 10^-9 m)
This works out to be approximately 5.82 x 10^6 m/s.
However, it's important to note that the de Broglie wavelength of a particle is generally only considered to be a meaningful quantity when the particle is moving at speeds that are comparable to the speed of light.For non-relativistic particles, such as an electron moving at a low velocity, the de Broglie wavelength is not a well-defined concept. Therefore, it's not meaningful to calculate the velocity of an electron based on its de Broglie wavelength.To know more about electrons visit:
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nutritionists express energy in calories, which are in fact 1000 real calories. one real calorie is equivalent to 4.18 joules, the universal energy unit. thus, one nutrition calorie is equivalent to
Nutritionists express energy in calories, which are in fact 1000 real calories. one real calorie is equivalent to 4.18 joules, the universal energy unit. thus, one nutrition calorie is equivalent to 4.18 kilojoules.
Joule is the fundamental energy unit of the metric system, or the International System of Units in a later, more thorough version (SI). In the end, the meter, kilogram, and second are used to characterize it.
Calorie: In the past, the definition of a calorie included the heating of water. Consequently, according to a conventional definition, one calorie is the quantity of heat needed to raise the temperature of one gram of water by one degree Celsius, from 14.5 to 15.5 degrees.
The "calorie" measured for other temperature ranges differs slightly from this, which is frequently referred to as the 15 °C calorie. The calorie has more recently been defined in terms of the joule; historically, the calorie and joule have been equivalent to mechanical heat.
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The velocity of a vehicle is typically expressed relative to which of the following?
A
other vehicles on the road
B
the surface of the road
C
the speed of Earth rotating
D
the speed of the tires rotating
The velocity of a vehicle is typically expressed relative to ground.
What is velocity?Velocity is the speed of something that is given direction.
velocity is the measurement to a body's "pace of change of the displacement in relation to time" whenever the main body is traveling through along a straight route.
It is common knowledge of that the word "linear" refers to be something that is totally straight; therefore, when the body moves in a straight path, it is said to be linear velocity .
Alternatively, velocity is the distance traveled by a body traveling in a specified to the direction during of a predetermined period of time. Thus, the fundamental idea of linear velocity is the provided by the union of these two quantities.
Because it always has the direction of velocity is a vector.
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which color stars have the highest surface temperature? group of answer choices blue red orange yellow
The majority of the energy emitted by stars with temperatures above 30,000 K is in the form of short wavelengths, which is why they appear blue. That is revealed by the blue.
Given that blue light has a higher frequency than red, it denotes a greater level of energy. As stars are dynamic beings that can have a variety of photospheric energies depending on their mass and stage of life, there are undoubtedly some limitations to this. The basic rule, in my opinion, is that blue light has a larger energy level (is hotter) than red light. The red giant Betelgeuse has a lower surface temperature but a higher core temperature than the Sun because the heat produced by fusion in the core is distributed across a larger area. Because the temperature in the center depends more on mass, over a much larger surface.
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The default setting shows two people holding one object each. The mass of the blue object is 50 kilograms and the red one is 200 kilograms. Note that the value of force each object applies on the other is the same (0.000000041712 newtons), but in the opposite direction. This value is written in standard notations. Express this value in scientific notation.
Please help
The value of 0.000000041712 N written in standard notations can be expressed as 41.712 × [tex]10^{-9}[/tex] N in scientific notation.
Scientific Notation in ScienceThis is a way of expressing large and small quantity as a simple number. The number will be multiply by a power of ten which is known as multiplying factor
Given that the value of force each object applies on the other is the same which is 0.000000041712 newtons, but in the opposite direction. This value is written in standard notations.
This number can be expressed as
0.000000041712 N = 41.712 nN
That is, 41.712 nano Newton
The multiplying factor of nano is [tex]10^{-9}[/tex]
To express this value in scientific notation, multiply the number 41.712 by the multiplying factor. That is,
0.000000041712 N = 41.712 × [tex]10^{-9}[/tex] Newtons
Therefore, the value of 0.000000041712 N of force each object in scientific notation is 41.712 × [tex]10^{-9}[/tex] N
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A spring is attatched at one end to support B and at the other end to collar A, as represented in the figure. Collar A slides along the vertical bar between points C and D.Part A when 0 = 28 degrees, what is the distance from point A to point B to the nearest tenth of a foot?Part B When the spring is stretched and the distanced from point A to point B is 5.2 feet, what is the valuue of 0 to the nearest tenth of a degree?
(A) The distance from point A to point B to the nearest tenth of a foot will be 3.4 ft.
(B) The value of 0 to the nearest tenth of a degree will be 54.8°
SOH, CAH, and TOA are the trigonometry ratios that need to be solved in order to find necessary measures or angles in a right triangle.
A) Reference angle = 28 degrees
Distance A-B = ?
Adjacent = 3 ft
We will calculate the distance between A-B by using the trigonometry function, CAH, that is:
Cos ∅ = adj ÷ hyp
Cos 28° = 3 ÷ A-B
A-B = 3 ÷ Cos 28°
A-B = 3.4 ft
B) Reference angle = ?
Distance A-B = 5.2 ft
Adjacent = 3 ft
We will calculate the distance between A-B by using the trigonometry function, CAH, that is:
Cos ∅ = adj ÷ hyp
Put the values
Cos ∅ = 3 ÷ 5.2
∅ = Cos⁻¹ (3 ÷ 5.2)
∅ = 54.8°
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How do you calculate potential energy stored?
Potential energy stored in spring is calculated by multiplying force with displacement.
Elastic potential energy is considered as the potential energy stored in spring when it is stretched or deformed. It is calculated as force multiplied by displacement. This energy is the energy stored in the spring by virtue of its position. It is the work done to stretch the spring.
When spring is stretched, it is displaced. It comes to its equilibrium position after the removal of the force. So, it exerts an equal and opposite force When it is stretched. Work is done by this force that is stored in the form of potential energy.
Since potential energy = force × displacement
and, force = spring constant × displacement
So, potential energy = spring constant × [tex](displacement)^{2}[/tex]
P.E. = k ×[tex]x^{2}[/tex]
Where,
k = spring constant
x = displacement caused due to stretching
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An olympic-size pool is 50. 0 m long and 25. 0 m wide. How many gallons of water (density = 1. 0 g/ml) are needed to fill the pool to an average depth of 4. 8 ft?.
In order to fill the pool to an average depth of 4.8 ft., the water needed is 483,101 gallons
The formula for the volume of rectangular cuboid is:
V = l x w x h
Where:
l = length
w = width
h = height
Parameters given in the problem:
l = 50 m
w = 25 m
h = 4.8 ft. = 1.463 m
Plug these parameters into the formula:
V = 50 x 25 x 1.463
V = 1,828.75 m³
1 m³ = 264.17 gallons
Hence,
V = 1,828.75 m³ = 1,828.75 x 264.17 gallons
V = 483,101 gallons
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a2.25m segment of wire supplying current to the motor of a submerged submarine carries750a and feels a3.5n repulsive force from a parallel wire 5.00 cm away. what is the magnitude of the current in the other wire in a?
For a 2.25 m segment of wire supplying current to the motor of a submerged submarine, which carries 750 a and feels a3.5 n, the magnitude of the current in the other wire is I2 = 518 A.
where,
The current in wire 1 is equal to 750 in I1. A
I2 is the wire 2 current, and it needs to be computed.
The wire's length is 2.25 m, while the spacing between the two wires is 5.00 cm, or 0.050 m.
Force is attractive if they are carrying current in the same direction.
Force is repellent if they are carrying the opposing stream.
The force in the question is 3.5 N and is repulsive in nature.
The current in wire 2 that is causing the force on wire 1 must be calculated. I2 = 3.5N*2*pi*0.05/Mo*750A*2.25m I2 = 518A can be expressed as the result of the equation above.
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an astronaut of mass 60 kg is on a space walk when suddenly someone throws a 3 kg book to her with speed 4m/s. she catches the book in an inelastic collision. find: a. the velocity of the astronaut book system after the collision. b. the initial kinetic energy of the system c. the final kinetic energy of the system d. the impulse exerted by the book on the astronaut..
There are 4 questions here that need to be solved.
a. The velocity of the astronaut & book system after the collision (using conservation of momentum) is 0.19 m/s
b. The initial kinetic energy of the system is 24J
c. The final kinetic energy of the system is 1.14J
d. The impulse exerted by the book on the astronaut is 11.43 kg.m/s
What is kinetic energy?In physics, the kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during acceleration, the body maintains this kinetic energy unless its speed changes.
Now, let's answer the question.
a.
m1 book = 3kg
m2 astronaut = 60kg
vi1 = 4m/s
vi2 = 0m/s
Vf = final speed after collision
Now, let calculate using conservation of momentum formula
ρi = ρf
m1 * vi1 + m2 * v2 = (m1 + m2) * vf
3 * 4 + 60 * 0 = (3 + 60) * vf
12 = 63vf
vf = 0.19 m/s (rounded)
So, the velocity of the astronaut-book system after the collision is 0.19 m/s.
b. Initial kinetic energy will be calculated using kinetic energy formula
KEi = 1/2 * m1 * Vi1^2
= 1/2 * 3 * 4^2
= 24J
So, the initial kinetic energy of the system is 24J
c. Final kinetic energy will be calculated as follows
KEf = 1/2 * (m1 + m2) * vf^2
= 1/2 * (3 + 60) * 0.19^2
= 1.137J
So, the final kinetic energy of the system is 1.137J
d. To calculate the impulse, it is basically the change in momentum of the book, calculated as follows
I (impulse) = m1 * (Vi1 - Vf)
= 3 * (4-0.19)
= 11.43 Kg.m/s
Therefore, the impulse exerted by the book on the astronaut is 11.43 Kg.m/s
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A 1,000 kg car experiences a net force of 3,500N from its engine.
Answer:Magnitude of the car's acceleration is 3.5 m/s²
Given:
Mass of car = 1,000 kg
Net force applied by car = 3,500 N
Find:
Magnitude of the car's acceleration
Computation:
Net force = Mass × Acceleration
So,
3,500 = 1,000 × Acceleration
Acceleration = 3,500 / 1,000
Acceleration = 3.5 m/s²
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How do you find the scale factor of a dilation example?
Scale factor is found by estimating the pixel and data of geometry or image.
A scale factor is a number that allows you to resize a geometric figure or shape relative to its original size. The ratio of the size of the original image and the enlarged image.Magnification can be represented by or .If the scale factor is greater than 1 (>1), the image will be enlarged.If the scale factor is less than 1 (0<<1), the image will be scaled down.If the scale factor is 1 (=1), the image remains the same.Magnification lets you increase or decrease the size of an object. The basic formula for determining the scaling coefficient of the extended illustration is[tex]scale. factor=\frac{x}{y} \\\\x=dim. new-shape\\y=dim.original-shape[/tex][tex]Scale factor = \frac{x}{y} \\\\x= new -shape\\y=original- shape[/tex]
Example -
Strain Scale 2: The center of strain in the coordinate plane is the origin (0, 0).
Let ABC be a triangle on the coordinate plane. The points in the coordinate plane are A(0, 2), B(2, 1), C(-2, -2).
If the scale factor is 2, each coordinate point of the original triangle is multiplied by a scale factor of 2.
So the triangle drawn is A'B'C' and the resulting coordinate points are A'(0 , 4), B'(4, 2), C'(-4, -4).
Stretch by a factor of 2, then multiply by 2.
(x,y) → (2x,2y)
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given the ideas presented here about how galaxies form, would you expect to find a giant elliptical galaxy in the local group? why or why not? is there in fact a giant elliptical in the local group?
Because of the size and variety of galaxies in the Local group, I would anticipate finding large elliptical galaxies there. There isn't a huge elliptical galaxy right now, but that could change when other galaxies develop and give rise to one.
A galaxy type known as an elliptical galaxies has an appearance that is smooth and almost featureless, and it has a roughly ellipsoidal form. These galaxies, along with spiral and lenticular galaxies, are one of the four primary kinds of galaxy that Edwin Hubble described in his 1936 book The Realm of the Nebulae and Hubble sequence. Elliptical (E) galaxies, lenticular (S0) galaxies with their large-scale disks, and ES galaxies with their intermediate-scale disks are all parts of the "early-type" galaxy population.
Most elliptical galaxies are made up of older, low-mass stars with scarce interstellar space and little star formation, and they frequently have a dense globular cluster population surrounding them. According to estimates, the Virgo Supercluster contains between 10% and 15% elliptical galaxies.
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a coil with a self-inductance of 16 mh and a resistance of 6.0 w is connected to an ac source whose frequency can be varied. at what frequency will the voltage across the coil lead the current through the coil by ? f
The frequency of the voltage across the coil is 60 Hz.
The tendency of a coil to resist internal current fluctuations is known as self-inductance. Every time a coil's current varies, an EMF is produced that is inversely proportional to the rate of change of the coil's current.
Given the self-inductance (L) is 16 mH and resistance is 6.0 Ω.
L = 16×10⁻³ H
The frequency can be calculated using the inductive resistance formula, [tex]f=\frac{X_L}{2\pi L}[/tex] where, XL is inductive resistance and L is inductance.
First, we have to find inductive resistance using the phase angle formula.
[tex]\begin{aligned}\tan\phi&= \frac{X_L-X_C}{R}\\X_L&=R\tan\phi\\&=6\times \tan 45^{\circ}\\&=6\times1\\&=\mathrm{6\;\Omega}\end{aligned}[/tex]
Then, frequency is
[tex]\begin{aligned}f&=\frac{6}{2\pi \times 16\times 10^{-3}}\\&=\mathrm{60\;Hz}\end{aligned}[/tex]
The answer is 60 Hz.
The complete question is -
A coil with a self-inductance of 16 mH and a resistance of 6.0 Ω is connected to an ac source whose frequency can be varied. At what frequency will the voltage across the coil lead the current through the coil by 45°?
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gold is sold by the troy ounce (31.103 g). what is the volume in cm3 of 1 troy ounce of pure gold (19300 kg/m3)?
The volume of the gold with given specs is 1.610 cm³.
Density of the gold as given in the question : 19300 kg/m³
Density of the gold in changed units i.e g/cm³ : 19.3 g/cm³
The measure of how densely a material is packed together is called density. As the mass per unit volume, it has that definition. Density Formula: = m/V, m is the object's mass, and V is its volume.
Density = Mass / volume
=> Volume = Mass / density
Substituting the values :
Volume = (31.103)/(19.3)
Volume = 1.610 cm³
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A Ferris wheel with a diameter
of 40 m makes one revolution
every 20 minutes. What is its
average speed in meter/min?
Answer:
6.3 m/min
Explanation:
Circumference of a circle = 2πr
r = D/2 = 40m/2 = 20m
C = 2π(20m) = 125.7 m
speed = distance/time = (125.7 m) / (20 min) = 6.3 m/min
a 0.4m rod of some material elongates 0.1 mm on heating from 30 to 118. determine the value of the linear coefficent of thermal expansion
The value of the linear coefficient of thermal expansion is : α= 2.841 * 10⁻⁶ (ºC)⁻¹
Li = 0.4m
ΔL = 0.1 mm = 0.0001m
T1 = 30ºC
T2 = 118ºC
ΔT = 88ºC
α =ΔL/(Li*ΔT)
α =0.0001m /(0.4m * 88ºC)
α = 2.841 * 10⁻⁶ (ºC)⁻¹
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if i want to find a sizeable collection of population ii stars in the milky way galaxy, where would be a good place to look?
Population II stars can be detected to be present in the halos of different spiral galaxies and in the huge globular clusters of the milky way galaxy.
It is known to us that -
There are populations I and II stars and stellar collections
These stars can be differentiated on the basis of their age from creation time, chemical constitution, and their location in the galaxy systems
Since, we want to identify the place where a sizeable collection of population II stars can be found in the milky way galaxy, let us first learn a bit about the population II stars.
Population II stars constitute of the oldest identified stars and clusters. These stars were created nearly 1,000,000,000 - 15,000,000,000 years ago.
These population II stars can be detected to be present in the halos of different spiral galaxies and in the huge globular clusters of the milky way galaxy.
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A tennis ball (0.23 kg) is thrown straight up in the air with a speed 4.8 m/s. How much potential
will it have when it reaches the highest point?
2.6496 J has the potential to reach its maximum point, according to the statement.
What does physics define as speed? Who established speed?Speed is the rate at which the position of an item shifts in any direction. Speed is defined as the proportion of the distance traveled to the time required to cover that distance. Speed is a scalar quantity because it has a velocity and no quantity. Galileo Galilei, an Italian physicist, is recognized with becoming the first to calculate speed by dividing it by the distance traveled and the time required. Galileo defined speed as the distance covered in a predetermined period of time.
Briefing:Potential energy becomes kinetic energy in this situation;
K.E. = ½ mv²
= ½ x 0.23 x (4.8)²
= 2.6496 J(joule)
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Gravitational force between objects ____________ as objects move farther apart, and it is ___________ between objects that are closer together.
Gravitational force between objects gets weaker as objects move farther apart, and it is stronger between objects that are closer together.
The gravitational force between two objects is given by:
F = G x M x m / r²
Where:
G = constant of gravity
M = mass of object 1
m = mass of object 2
r = distance between two objects
If the masses are constant, then the gravitational force is inversely proportional to the square of distance between those objects, or mathematically:
F ∝ 1/r²
By inversely proportional means if the distance between two objects decreases, the gravitational force increases or gets stronger; and if the distance between two objects increases, the gravitational force decreases or gets weaker.
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the wheels on a bicycle have a 10 inch radius. if the bike must travel exactly 2000 inches , how many revolutions are required? assume that no sliding or slipping occurs between the wheel and the road.
The wheels on a bicycle have a 10 inch radius. If the bike must travel exactly 2000 inches, the number of revolutions the wheel would make will be 31.85 revolutions.
The perimeter of the circle is called the circumference of circle.
Given, radius of the wheel = 10 inches
Diameter of the wheel = 20 inches
Length required to cover = 2000 inches
For one revolution, distance equal to the circumference moved.
1 rev = π D
1 rev = π * 20
1 rev = 62.8 inches
Number of revolutions to travel 2000 inches is 2000/62.8 = 31.85 rev
Thus, the number of revolutions required are 31.85 rev.
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photons can be produced by the impact of a high-energy electron with a target. if the electron is accelerated by a potential difference of 10.0 kv and produces a photon on impact, what is the minimum wavelength of photon?
[tex]1.24 * 10^{-10} m[/tex] is the minimum wavelength of photon.
The potential difference is ΔV = [tex]10 * 10^{3} V[/tex]
The charge on an electron is q = [tex]-1.6 * 10^{-19} C[/tex]
The change in the potential energy of a charged particle when it moves through a potential difference, ΔV, is
ΔU = qΔV
Here,
ΔU is the change in the potential energy.
q is the charge.
ΔV is the potential difference between the initial and the final position of the charge.
The change in the potential energy of the electron is:
ΔU = [tex]-1.6 * 10^{-19} * 10^{4} = -0.16 * 10^{-15} J[/tex]
According to the law of conservation of energy, the sun of the change in the kinetic and potential energy of the charge should be zero, since the electric field is conservative, and there are no other external forces.
ΔU + ΔK = 0
⇒ΔK = [tex]1.6 * 10^{-15} J[/tex]
Therefore, the kinetic energy acquired by the electron is:
Now when such an electron suddenly stops, it produces x-ray to compensate for the sudden release of energy. The maximum energy of this x-ray is equal to the kinetic energy of the electron.
K = [tex]1.6 * 10^{-15} J[/tex]
E = K
Also, the energy of an electromagnetic wave depends on its wavelength,
λ , by the following equation:
E = hc / λ
here;
h = [tex]6.626 * 10^{-34} J[/tex] is the planks constant
c = [tex]3 * 10^{8} m/s the speed of light[/tex]
Therefore, the minimum wavelength corresponds to the maximum possible energy,
E = K
hc / λ = [tex]1.6 * 10^{-15}[/tex]
λ = [tex]6.626 * 10^{-34} * 3 * 10^{8} / 1.6 * 10^{-15[/tex]
= [tex]19.878 * 10^{-26} / 1.6 * 10^{-15}[/tex]
= [tex]1.24 * 10^{-10} m[/tex]
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What do your observations show you about the forces exerted on objects in a collision?
When two objects collide, they exert forces on each other that can cause one or both of them to move in a certain direction and with a certain quantity of energy.
These forces can be calculated by considering the mass of each object, the velocity of each object, and the distance between them. Depending on the type of collision, the forces exerted on each object will differ.
Inelastic collisions occur when the objects stick together or the kinetic energy of the objects is not conserved. In this type of collision, the forces exerted on each object are equal in magnitude but opposite in direction. This means that one object is pushing the other in one direction, while the other object is pushing in the other direction. As a result, the objects will move in a combined direction with a decreased kinetic energy.
Elastic collisions occur when the objects bounce off one another and the kinetic energy of the objects is conserved. In this type of collision, the forces exerted on each object are still equal in magnitude but opposite in direction. However, the objects will move in opposite directions with the same kinetic energy as before.
The forces exerted on objects in a collision can also be affected by external factors such as friction, air resistance, and gravity. In a collision with friction, the forces exerted on each object will be in the same direction and the kinetic energy of the objects will be decreased due to the energy lost to heat. In a collision with air resistance, the forces exerted on each object will be in the same direction and the kinetic energy of the objects will be decreased due to the energy lost to air drag. In a collision with gravity, the forces exerted on each object will be in the same direction and the kinetic energy of the objects will be decreased due to the energy lost to gravity.
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a 5.0-m radius playground merry-go-round with a moment of inertia of 2000 kg m2 is rotating freely with an angular speed of 1.0 rad/s. two people, each of mass 60 kg, are standing right outside the edge of the merry-go-round and suddenly step onto the edge with negligible speed relative to the ground. what is the angular speed of the merry-go-round right after the two people have stepped on?
Angular speed = 0.4 rad/s , when a 5.0-m radius playground merry-go-round with a moment of inertia of 2000 kg m2 is rotating freely with an angular speed of 1.0 rad/s.
radius = 5 m
moment of inertia = 2000 kg-m²
angular speed = 1.0 rad/s
mass = 60 kg
to find out
angular speed
solution
Rotational momentum of merry-go-round = I?
The momentum we experience here is expressed as
momentum = 2000 × 1
momentum = 2000 kg-m²/s
and
Inertia of people will be here as
Inertia of people = mr² = 60 × 5²
Inertia of people = 1500 kg-m²
so Inertia of people for two people
1500 × 2 = 3000
and
Currently, angular momentum conservation
(Momentum + People's Inertia) = Moment of Inertia Angular Speed angular velocity
2000 × 1 = (2000 + 3000 ) ω
solve we get now
ω = 0.4 rad/s
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In a mechanical wave, the restoring force is the force that actually causes the oscillation. In which direction does a restoring force act?
For oscillation in mechanical wave, restoring force acts in a direction opposite to direction of displacement.
In physics, an object is said to be in equilibrium if there is no net force acting on the object. This can happen when the magnitude and direction of the forces acting on the object are perfectly balanced or simply because there are no forces acting on the object.Not all forces try to restore the object back to equilibrium, but forces that do so are called restoring forces.A restoring force is a force acting against the displacement in order to try and bring the system back to equilibrium.The restoring force is a function that depends on the position of an object or system. This type of force is responsible for generating oscillations and is necessary for an object to be in moving in simple harmonic motion. The restoring force is what causes the change in acceleration of an object in simple harmonic motion. A displacement from the equilibrium position results in the system storing potential energy.To know more about forces visit:
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According to Newton's 2nd law, when something is traveling 50cm with changing forces (in Newtons), why does acceleration = 1/t^2? Use kinematics to show/prove this.
The relation between acceleration and mass is inversely proportional, according to Newton's second law, and there is a direct relationship between acceleration and net external force.
What are the relation in forces and acceleration?One of the most significant laws in all physics is Newton's second law. F = ma, where F (force) and a (acceleration) are both vector values, can be used to represent a body whose mass m is constant. A body is accelerated according to the equation if there is a net force acting on it.
Therefore, An object will remain at rest or move in a straight path at constant speed in the absence of acceleration. A force that is not balanced causes an object to accelerate.
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a merry-go-round has a mass of 1440kg and a radius of 7.50m. how much net work is required to accelerate it from rest to a rotation rate of 1.00 revolution per 7.00s? assume it is a solid cylinder.
Work is required to accelerate it from rest to a rotation rate of 1.00 revolution per 7.00s is 12,640 Joules
The following equation is used to calculate the net work necessary to accelerate a merry-go-round from resting to a rotational speeds with one rotation every 7.00 secs:
Work is calculated as (mass x radius x angular acceleration) / 2.
In which: 1440 kg in mass
R = 7.50 meters
Angle acceleration is equal to 2/7.00s times 0.89 rad/s2.
Hence, this mathematical methodology is used to compute the net work needed:
Work is equal to (1440 kg x 7.50m2 x 0.89 rad/s2) / (2 x 7.50m x 1440 kg x 1 revolution/7.00s) / 2 = 5,524,000 J or 5.52 MJ.
Acceleration was its term for the variation in velocity. Generally speaking, and sometimes not, acceleration denotes a shift in speed. Regardless of whether an object is moving in a circle, its velocity route is still changing, therefore it keeps gaining speed.
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