Electromagnetic waves can travel through matter and a vacuum, and carry energy via their electric and magnetic fields. Meanwhile, ocean waves are mechanical, requiring water to move and don't carry energy in the same way. This fundamental difference in propagation and energy transfer sets the two apart.
Explanation:Electromagnetic waves and ocean waves differ significantly in their nature and behavior. Electromagnetic waves are disturbances in the electric and magnetic fields and do not require a medium to propagate. They can travel through both matter and a vacuum, such as outer space, and all electromagnetic waves move at the same speed in empty space. This makes them different from other waves, such as sound and water waves, which are mechanical and require a medium (like air or water) to travel through.
On the other hand, ocean waves are mechanical waves that require water to move. These can be modeled using sine or cosine functions, depending on their wavelength, amplitude, and frequency. Unlike electromagnetic waves, ocean waves cannot move through a vacuum or empty space.
Another key difference is in the way electromagnetic waves bring energy into a system due to their electric and magnetic fields. These fields can exert forces and move charges in the system and thus do work on them.
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Electromagnetic waves are produced by the vibration of charged particles, can travel through a vacuum, and always travel at the speed of light. Unlike them, ocean waves require a medium to travel and their properties are influenced by environmental factors.
Differences Between Electromagnetic Waves and Ocean Waves
Electromagnetic waves differ from ocean waves in several fundamental ways. While both are forms of energy propagation, electromagnetic waves are produced by the vibration of charged particles and do not require a medium, meaning they can travel through the vacuum of space. In contrast, ocean waves are mechanical waves that require a medium, such as water, to travel. Electromagnetic waves have both electric and magnetic components and travel at the speed of light, which is a constant 300 million meters per second, regardless of their frequency or wavelength.
Another key difference is in how the waves carry energy. Longer electromagnetic waves, like radio waves, carry less energy and have lower frequencies, while shorter waves, like gamma rays, carry more energy and have higher frequencies. Ocean waves, on the other hand, have their energy and properties determined by factors such as wind, the gravitational pull of the moon, and the Earth's topography.
. Suppose you have a device that extracts energy from ocean breakers in direct proportion to their intensity. If the device produces 10.0 kW of power on a day when the breakers are 1.20 m high, how much will it produce when they are 0.600 m high?
Answer:
4.988kW
Explanation:
According to the question, energy E extracted from the ocean breaker is directly proportional to the intensity I. It can be expressed mathematically as E ∝ I
E = kI where k is the constant of proportionality.
From the formula; k = E/I
This shows that increase in energy extracted will lead to increase in its intensity and vice versa.
If the device produces 10.0 kW of power on a day when the breakers are 1.20 m high
E = 10kW and I = 1.20m
k = 10/1.20
k = 8.33kW/m
To know how much energy E that will be produced when they are 0.600 m high, we will use the same formula
k = E/I where;
k = 8.33kW/m
I = 0.600m
E = kI
E = 8.33 × 0.6
E = 4.998kW
The device will produce energy of 4.998kW when they are 0.600m high.
Answer:
It will produce 2.5 Kw at 0.6m high
Explanation:
We are given;
Initial Power output of device; P_i = 10 Kw
Initial amplitude; A_i = 1.2m
Final Amplitude; A_f = 0.6m
We know that power is directly proportional to energy because
P = Energy(work done)/time taken
Thus; P ∝ E - - - - (eq1)
Now,from the question, we are told that Energy is proportional to the intensity. Thus;
E ∝ I - - - - (eq2)
where I is intensity
Now, from formula of Intensity, which is; I = (1/2)(ρ²•β²•ω²•A²)
We can see that I is directly proportional to square of Amplitude A²
Thus, I ∝ A² - - - - (eq3)
Combining eq 1,2 and 3,we can deduce that;
P ∝ E ∝ I ∝ A²
Thus, P ∝ A²
Now, let's set up the proportion as;
P_i/P_f = A_i²/A_f²
Since we are looking for final power, let us make P_f the subject.
So,
P_f = (P_i•A_f²)/A_i²
Plugging in the relevant values to obtain ;
P_f = (10 x 0.6²)/1.2² = 2.5 Kw
Water is traveling into what sphere during infiltration?
my teacher didnt explain this well and im lost
Explanation:
(a) The given figure is a convex lens.
(b) In this figure, the object is placed between F and optical center of a lens. Convex lens is a converging lens. It converges the beam of light falling on it after reflection. The image is formed on the same side of the lens as the object.
The formed image is enlarged and it is virtual and erect.
(i) Type : virtual
(ii) Orientation : upright
(iii) Size : Enlarged
Ice floats in water at 0°C. Why is this an example of physical equilibrium? a)The system is closed; nothing leaves the system. b)No new substances form when the water molecules change state. c)The forward and reverse processes occur at different rates.
Answer: Option (b) is the correct answer.
Explanation:
Physical equilibrium is defined as a system in which there will occur no change in the physical state of substance. For example, at zero degree celsius water is present in both liquid and solid state as follows.
[tex]H_{2}O(l) \rightleftharpoons H_{2}O(s)[/tex]
For a system to be present in physical equilibrium is as follows.
The system must be a closed system.
It should be dynamic in nature.
There will occur no change in measurable property along with change in time.
Thus, we can conclude that ice floats in water at [tex]0^{o}C[/tex] this an example of physical equilibrium because no new substances form when the water molecules change state.
Which colors of light represents the lowest visible frequency?
Answer:
Red
Explanation:
Red is a colour which has the lowest frequency. Violet has the highest frequency. Frequency has a direct relationship with energy. This means the higher the frequency, the higher the energy. Red has the lowest energy of all the colors too.
The frequency and Energy has an inverse relationship with the wavelength.
However Red has the longest wavelength of about 620 - 780 nanometer.
Do baking bread release or absorb energy
During a 78-ms interval, a change in the current in a primary coil occurs. This change leads to the appearance of a 4.1-mA current in a nearby secondary coil. The secondary coil is part of a circuit in which the resistance is 12 Ω. The mutual inductance between the two coils is 3.2 mH. What is the change in the primary current?
Answer:
1.2 A
Explanation:
We are given that
Time, dt=78 ms=[tex]78\times 10^{-3}s[/tex]
[tex]1 ms=10^{-3} s[/tex]
[tex]I_s=4.1mA=4.1\times 10^{-3} A[/tex]
[tex]1 mA=10^{-3}A[/tex]
[tex]R=12\Omega[/tex]
[tex]M=3.2mH=3.2\times 10^{-3} H[/tex]
We have to find the change in the primary current.
[tex]V_s=I_sR=4.1\times 10^{-3}\times 12=49.2\times 10^{-3} V[/tex]
[tex]V_s=M\frac{dI}{dt}[/tex]
[tex]dI=\frac{V_sdt}{M}=\frac{49.2\times 10^{-3}\times 78\times 10^{-3}}{3.2\times 10^{-3}}[/tex]
[tex]dI=1.2 A[/tex]
Gears can be used to change the direction of a motor output from clock wise to counter clockwise
True or false
Answer:
True
Explanation:
This can be done when the output gear is rotating in a counterclockwise direction. The initial direction of the clockwise gear changes when it comes in contact with the counter clockwise rotating gear. This will thus cause the motor to change its direction due to the counter clockwise rotating gear.
what is an example of friction
A) slipping on a patch of ice
B) dropping a book
C) diving into a swimming pool
D) wind blowing against you on a walk
Answer: slipping on a patch of ice (A)
Explanation: there is direct contact when you slip on a patch of ice: your body, and the ice. all of the other answers are either non contact, or it is not solid to solid (wind, water). hope that makes sense :)
How much energy must be transferred out of the system as heat q to lower its temperature to 0∘c? express your answer numerically in joules?
The energy transferred out of the system as heat is 3950 J, or in scientific notation, [tex]\rm \( 3.95 \times 10^3 \, \text{J} \)[/tex]
The amount of energy q required to change the temperature of a substance can be calculated using the formula:
[tex]\rm \[ q = m \cdot C \cdot \Delta T \][/tex]
Where:
m is the mass of the substance
C is the specific heat capacity of the substance
[tex]\rm\( \Delta T \)[/tex] is the change in temperature
Given that the change in temperature is from the system's current temperature to [tex]\( 0^\circ \text{C} \)[/tex], which is -T in Kelvin, and the specific heat capacity C is typically given in [tex]\rm \( \text{J/g}^\circ \text{C} \)[/tex], we can express the formula as:
[tex]\rm \[ q = m \cdot C \cdot (-T) \][/tex]
Given that the energy is to be expressed in joules, we need to use the SI unit for mass (kilograms) and convert the specific heat capacity to [tex]\rm \( \text{J/kg}^\circ \text{C} \)[/tex]
The conversion factor from [tex]\rm \( \text{J/g}^\circ \text{C} \)[/tex] to [tex]\( \text{J/kg}^\circ \text{C} \)[/tex] is 1000 since [tex]\( 1 \, \text{g} = 0.001 \, \text{kg} \)[/tex]:
[tex]\rm \[ C_{\text{SI}} = C_{\text{g}} \cdot 1000 \][/tex]
Now, we can use the formula to calculate q.
Given:
m (mass of the substance) = [tex]\rm \( 4.70 \, \text{kg} \)[/tex] (assuming mass)
C (specific heat capacity) = [tex]\rm \( 4.18 \, \text{J/kg}^\circ \text{C} \)[/tex]
T (temperature change) = [tex]\rm \( 0^\circ \text{C} - 20^\circ \text{C} = -20^\circ \text{C} \)[/tex]
Substitute the values:
[tex]\rm \[ q = (4.70 \, \text{kg}) \cdot (4.18 \, \text{J/kg}^\circ \text{C}) \cdot (-20^\circ \text{C}) \]\\\\rm q = -3949.6 \, \text{J} \][/tex]
Since the answer is expected in kilojoules (kJ), convert the value from joules to kilojoules:
[tex]\rm \[ q = -3949.6 \, \text{J} \\= -3.9496 \, \text{kJ} \][/tex]
Now, express the result with the correct number of significant figures:
[tex]\rm \[ q = -3.95 \, \text{kJ} \][/tex]
Since the question asks for the energy transferred out of the system as heat, take the absolute value:
[tex]\rm \[ q_{\text{abs}} = 3.95 \, \text{kJ} \\= 3950 \, \text{J} \][/tex]
Therefore, the energy transferred out of the system as heat is 3950 J, or in scientific notation, [tex]\rm \( 3.95 \times 10^3 \, \text{J} \)[/tex]
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To calculate the energy transfer in joules, we need the specific heat capacity of the substance, its mass, and the initial temperature. The formula for this is q = mcΔT. Without these values, we cannot provide a specific numerical answer.
Explanation:To calculate how much energy needs to be transferred out of the system as heat in order to lower its temperature to 0°C, you would need more information. A key factor of this calculation is the specific heat capacity of the substance in the system, as well as its mass. The formula for heat transfer is q = mcΔT, where m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature. Without the values of m and c as well as the initial temperature, it is not possible to provide a numerical answer in joules.
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What steps are involved in converting potential energy to kinetic energy
Answer:
Decreasing in altitude and increasing in velocity
Explanation:
The formula for potential energy is:
[tex]E_p = mgh[/tex]
where m is mass, g is constant gravitational energy and h is the potential altitude.
The formula for kinetic energy is:
[tex]E_k = mv^2/2[/tex]
where v is the velocity
Since m,g are constant, to convert from potential energy to kinetic energy, h must decreases while v increases. For example dropping an object from a height.
Answer:
Explanation:
Atractive forces tries to stop objects when they try to escape of the influence of these forces. Examples of this situation are the gravitational force and electric force.
When the object loses speed, its speed is decreasing, that is, its kinetic energy is decreasing, because the kinetic energy depends on speed:
[tex]E_k=\frac{1}{2}mv^2[/tex]
this lost of kinetic energy is equilibrated by the increase of the potential energy generated by the atractive force.
Because of this dynamic between the kinetic energy and the potential energy, the total mechanical energy of the object is conserved.
If 4,000J of energy is transferred and 2,500J is usefully stored, how much energy is wasted
If we do the simple equation of 4,000J subtracted by 2,500J we can easily see that the energy that wasn't useful or wasted is 1,500J
ANSWER = 1,500J
Answer:
4000J transfer and 2500J stored which means you have an energy produce power equals to 6500J. Therefore take 6500J and subtract it with 4000J transfer and there you left with 2500J. so the question is, how much energy is wasted? about 4000 of your energy is been transfer which means it moves out of the original source.
Explanation:
a spring stretches by 0.12 m when some apples weighing 3.2 N are supported from it. What is the Spring Constant?
Answer:
Fa==kx
ma=-kx
(3.2)(9.8)=-k(0.12)
k=27 N/M
The spring constant is 27 N/M.
What is Force?A force is defined as an effect that can change the motion of an object so that an object with mass can change its velocity, i.e., accelerate. Force can also be described simply as a push or pull. A force has both magnitude and direction which makes it a vector quantity.
Force is expressed as Mass times acceleration, i.e. F=ma. The SI unit of force is Newton (N).
F = -kx.
This proportional constant k is called the spring constant which is a measure of the spring's stiffness.
So, when we put both the equation together, we get
ma = -kx
Given, (3.2)(9.8)=-k(0.12)
k=27 N/M
Thus, the spring constant is 27 N/M.
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What is the relationship between wavelength and the amount of energy the wave carries?
Answer:
Energy is inversely proportional to wavelength.
Explanation:
The amount of energy, E, a wave carries is given as:
E = hf
where h = Planck's constant and f = frequency of the wave
Frequency and wavelength are related by the equation:
c = λf
=> f = c/λ
where λ = wavelength
Therefore, energy is:
E = hc/λ
This shows that energy is inversely proportional to wavelength. As wavelength increase, energy decreases and vice versa.
Momentum can be defined as "mass inmotion." All objects have mass; so if anobject is moving, then it has momentum - ithas its mass in motion. The amount ofmomentum which an object has is dependentupon two variables: how much stuff is movingand how fast the stuff is moving. Momentum depends upon the variablesmass and velocity. In terms of an equation, the momentum of an objectis equal to the mass of the object times the velocity of the object. T/F
Answer:
T
Explanation:
momentum=mass×velocity
The momentum of an object is equal to the mass of the object times the velocity of the object which is true.
What is momentum?In Mechanics, momentum is calculated as the combination of an object's weight and speed. It has both a magnitude and a direction, making it a vector quantity. If an entity has weight m and speed v, then its momentum is given by,
p = mv
Where 'p' is the momentum, 'm' is the mass, and 'v' is the velocity.
Mass in motion is a definition of momentum. All things have mass, thus when something moves, it has momentum because its mass is in motion. The amount of momentum an object possesses depends on two factors: how much and how quickly the material is moving.
It is correct to say that an object's momentum is equal to its mass times its velocity.
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Which graph best represents the relationship between the electric current and the rate at which a magnet is turning inside an electric generator?
Answer:
The second one.
Explanation:
The relationship between the electric current and the rate at which a magnet is turning inside an electric generator is linear in nature.
What is electric generator?A dynamo is an electric machine that converts mechanical energy into electrical energy. Steam turbines, gas turbines, and wind turbines typically supply mechanical energy to electric generators. Electrical generators supply nearly all of the power needed for electric power grids.
An electric motor converts electrical energy to mechanical energy in the opposite direction. Many similarities exist between motors and generators. However, in this article, we will concentrate primarily on electric generators and how they convert mechanical energy to electrical energy.
Hence, the relationship between the electric current and the rate at which a magnet is turning inside an electric generator is linear in nature.
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A carpenter has a mix of both iron nails and plastic nails in a jar. For a job, he needs only the iron nails. What physical properties could help him separate the nails?
Answer:
Magnetism
Explanation:
The carpenter can separate the iron nails from the plastic nails using a magnet. The iron nails have magnetic properties therefore they would be attracted to the magnet living only the plastic nails. This process is known as magnetic separation because it is based on the physical properties of the mixed components separating a mixture of components containing magnetic and non magnetic materials.
Use the drop-down menus to complete the sentences
Athin wire has resistance than a thick wire,
A short wire has resistance than a long wire
A warm wire has resistance than a cool wire,
Done
Answer:
A thin wire has a higher resistance than a thick wire
A short wire has a lower resistance than a long wire
A warm wire has a higher resistance than a cool wire
Explanation:
Here we have the formula for resistance by diameter given as follows
[tex]R = \frac{4 \times \rho \times l}{\pi } \times \frac{1}{d^2}[/tex]
Where:
R = Resistance
ρ = Resistivity of the wire
l = Length of the wire
d = Diameter of the wire
a. Therefore, since resistance is inversely proportional to diameter of the wire, a thin wire
A thin wire produces a higher resistance value than a thicker wire with larger diameter, d
b. Also as resistance is directly proportional to the length of the wire, a long wire has a higher resistance value than a short wire
c. The formula for resistance of a wire with temperature is as follows;
[tex]R_T = R_0 \times [1 + \alpha \times (T - T_{20})][/tex]
Where:
R₀ = Copper resistance at 20°
[tex]R_T[/tex] = Copper resistance at temperature T
T = Copper conductor temperature
T₂₀ = 20°
α = Copper coefficient of resistivity
Therefore, as the temperature increase, the resistance increases.
Answer:
thin wire has
✔ more
resistance than a thick wire.
A short wire has
✔ less
resistance than a long wire.
A warm wire has
✔ more
resistance than a cool wire.
Explanation:
If the velocity of a pitched ball has a magnitude of 47.0 m/s and the batted ball's velocity is 50.5 m/s in the opposite direction, find the magnitude of the change in momentum of the ball and of the impulse applied to it by the bat.
Answer:
The magnitude of change in momentum of the ball is [tex]97.5 m[/tex] and impulse is also [tex]97.5 m[/tex]
Explanation:
Given:
Velocity of a pitched ball [tex]v _{i} = 47[/tex] [tex]\frac{m}{s}[/tex]
Velocity of ball after impact [tex]v_{f} = -50.5[/tex] [tex]\frac{m}{s}[/tex]
From the formula of change in momentum,
[tex]\Delta P = m (v_{f} -v_{i} )[/tex]
Here mass is not given in question,
Mass of ball is [tex]m[/tex]
Change in momentum is given by,
[tex]\Delta P = m (-50.5 -47)[/tex]
[tex]\Delta P = -97.5 m[/tex]
Magnitude of change in momentum is
[tex]\Delta P = 97.5 m[/tex]
And impulse is given by
[tex]J = \Delta P[/tex]
[tex]J = -97.5 m[/tex]
So impulse and
Therefore, the magnitude of change in momentum of the ball is [tex]97.5 m[/tex] and impulse is also [tex]-97.5 m[/tex]
Help ASAP
Answer question 3 please!!!
Answer:
the answer is ture
Explanation:
because the energy substances must absorb in order to change from liquid to gas
The wave property that is related to the height of a wave is the
Answer:
Amplitude
Explanation:
The amplitude is maximum height a wave is measured from its rest position.
What is another term for a Lewis structure diagram?
Proton-electron ratio
Valence bond diagram
Bond pair visual
Electron-dot diagram
Final answer:
Another term for a Lewis structure diagram is an 'electron-dot diagram,' which represents the valence electrons of an atom as dots around the element's symbol and is used to visualize the bonding and non-bonding electrons in molecules.
Explanation:
Another term for a Lewis structure diagram is an electron-dot diagram. A Lewis structure diagram is a representation that shows the valence electrons of an atom as dots around the symbol of the element. The dots represent the number of valence electrons present in the atom and are arranged around the chemical symbol in a specific manner with a maximum of two dots on one side. For instance, the Lewis diagram for hydrogen would consist of the symbol 'H' with one dot next to it, representing its single valence electron.
The Lewis diagram is also referred to as a Lewis dot diagram and is used to visualize the bonding between atoms as well as non-bonding valence electrons. When atoms bond, the shared electrons are represented by lines, and lone pairs are depicted by dots surrounding the atoms. These diagrams help in predicting the shape of molecules and the arrangement of atoms.
The process of removing heat from a place where it is not wanted and transferring that heat to a place where it makes little or no difference is known as ____.
A. cooling
B. refrigeration
C. defrosting
D. temperature balancing
The process of removing heat from a place where it is not wanted and transferring that heat to a place where it makes little or no difference is known as B) refrigeration.
What is a refrigeration machine accountable for soaking up warmth into the system from something medium is to be cooled?
The evaporator in a refrigeration device must be chillier than the refrigerated space for the purpose to take in heat. The boiling factor of a refrigerant ought to be low sufficient at atmospheric strain to preserve the machine stress above 0 PSIG when working at low temperatures.
The evaporator can be thought of as a “warmness sponge.” Vapor is more dense than liquid and, because the liquid refrigerant boils, it has a tendency to sink. The handiest area wherein the refrigerant vapor is superheated is within the evaporator.
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If you push down the plunger of a bicycle pump the vhamber's volume is decreased. When that happens pressure in the chamber increases and the air then rushes out the pump and into your flat tire. What gas law does this represent?
Answer:
Boyle's Law
Explanation:
Robert Boyle in his experiment explained the relationship between the volume and the pressure of a gas. In his experiments, he discovered that the volume of a gas is inversely proportional to the pressure at constant temperature. This implies that as the volume of the gas increase, the pressure decreases and as the volume of the gas decrease, the pressure will increase.
Now applying this concenpt to the the plunger of a bicycle pump, you will discover that as the pressure of in the plunger increase, the volume of air inside the chamber is decreasing as it is send out to pump the flat tyre. This clearly indicates inverse proportionality between pressure and volume as explained by Boyle's law.
Therefore, the plunger of a bicycle pump clearly indicates Boyle's law in action.
The operation of a bicycle pump illustrates Boyle's Law. This law states that in a closed system at constant temperature, the volume and pressure of a gas are inversely proportional - as one increases, the other decreases.
Explanation:The situation you described is an application of Boyle's Law, a concept in physics. Boyle's Law states that the pressure and volume of a gas have an inverse relationship when held at a constant temperature. This means that as the volume of gas decreases, like when you push down the plunger of a bicycle pump, the pressure increases.
When the plunger is pushed down, the volume inside the pump decreases, thereby increasing the pressure. This high-pressure air then moves from an area of high pressure (inside the pump) to an area of low pressure (the flat tire), resulting in air being pumped into the tire.
A practical example aiding understanding is a deflated tire. As we start pumping air into it, its volume first increases with not much increase in pressure. However, once the tire is filled to a point where the walls resist further expansion, pressure increases as more air is pumped in. Therefore, Boyle's Law explains the mechanics of a bicycle pump and similar systems pretty well.
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When light bends or changes direction what is happening
Answer:
When light travels from air into water, it slows down, causing it to change direction slightly. This change of direction is called refraction. When light enters a more dense substance (higher refractive index), it 'bends' more towards the normal line
Hurricanes can involve winds in excess of 100 km/h at the outer edge. Make a crude estimate of the energy of such a hurricane, approximating it as a rigidly rotating uniform cylinder of air (density 1.3 kg/m3) of radius 88 km and height 4.4 km .
Answer:
[tex]2.7\cdot 10^{16} J[/tex]
Explanation:
We can approximate the hurricane as a rotating uniform cylinder, so its energy is the rotational kinetic energy, given by:
[tex]E=\frac{1}{2}I\omega^2[/tex] (1)
where
I is the moment of inertia
[tex]\omega[/tex] is the angular velocity
The moment of inertia of a cylinder rotating about its axis is
[tex]I=\frac{1}{2}MR^2[/tex]
where
M is the mass
R is the radius
So formula (1) can be written as
[tex]E=\frac{1}{2}(\frac{1}{2}MR^2)\omega^2=\frac{1}{4}MR^2\omega^2[/tex] (2)
For an object in rotation, the linear speed at the edge is related to the angular velocity by
[tex]v=\omega R[/tex]
So we can rewrite (2) as
[tex]E=\frac{1}{4}Mv^2[/tex]
where we have:
[tex]v=100 km/h = 27.8 m/s[/tex] is the speed at the edge of the hurricane
We have to calculate the mass of the cylinder. We have:
[tex]R=88 km = 88,000 m[/tex] (radius)
[tex]h=4.4 km = 4400 m[/tex] (height)
So the volume is
[tex]V=\pi R^2 h = \pi (88,000)^2 (4400)=1.07\cdot 10^{14} m^3[/tex]
The density is
[tex]\rho = 1.3 kg/m^3[/tex]
So the mass is
[tex]M=\rho V=(1.3)(1.07\cdot 10^{14})=1.39\cdot 10^{14} kg[/tex]
Therefore, the energy is
[tex]E=\frac{1}{4}(1.39\cdot 10^{14})(27.8)^2=2.7\cdot 10^{16} J[/tex]
a uniform disc and hollow right circular cone have the same formula for their moment of inertia when rotating about the central axis why is it so?
Answer:
This is as a result that about the central axis a collapsed hollow cone is equivalent to a uniform disc
Explanation:
The integration of the differential mass of the hollow right circular cone yields
[tex]I=\int\limits dmr^2 = \int\limits^a_b {\frac{2Mxr^2}{R^2 +H^2} } \, dx = \frac{2MR^2dx}{(R^2 +H^2)^2} \frac{(R^2 +H^2)^2}{4} = \frac{1}{2}MR^2[/tex]
and for a uniform disc
I = 1/2πρtr⁴ = 1/2Mr².
Final answer:
Both a uniform disc and a hollow right circular cone have the same formula for their moment of inertia when rotating about the central axis because their shapes and mass distributions result in similar rotational behavior.
Explanation:
Both a uniform disc and a hollow right circular cone have the same formula for their moment of inertia when rotating about the central axis because their shapes and distributions of mass result in similar rotational behavior.
The moment of inertia depends on the distribution of mass around an axis of rotation. In both objects, the mass is distributed symmetrically about the central axis, resulting in similar moment of inertia values.
For a uniform disc, the moment of inertia is given by the formula I = 1/2 MR², where M is the mass of the disc and R is its radius. Similarly, for a hollow right circular cone, the moment of inertia is also given by the formula I = 1/2 MR², where M is the mass of the cone and R is the radius of its base.
A 2kg book is moved from a shelf that is 2m off the ground to a shelf that is 1.5m off the ground, what is it’s change in gravitational potential energy
The change in gravitational potential energy of the book is 9.81 J.
What is it’s change in gravitational potential energy?The change in gravitational potential energy is calculated as follows:
ΔGPE = m * g * Δh
where:
ΔGPE is the change in gravitational potential energy (in joules)m is the mass of the object (in kilograms)g is the acceleration due to gravity (9.81 m/s²)Δh is the change in height (in meters)In this case, the mass of the book is 2 kg, the acceleration due to gravity is 9.81 m/s², and the change in height is 0.5 m (2 m - 1.5 m).
Therefore, the change in gravitational potential energy is:
ΔGPE = 2 kg * 9.81 m/s² * 0.5 m = 9.81 J
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The Tour de France is the biggest bicycle race in the world. The race lasts for three weeks and is one of the biggest sporting events of the year. At the end of each day of racing they give to the certain riders FOUR different colored jerseys. What are the four different colored jerseys AND what does it mean to the rider that gets to wear it the next day?
Answer:
Yellow, green, polka dot and white jerseys
Explanation:
Tour de France is the biggest bicycle race in the world held at France over a period of 23 days. At the end of each day of racing they give to the certain riders FOUR different colored jerseys:
The yellow jersey is given to the overall winner at each stage, this shows the rider who was the best in the previous stage.The green jersey is given to the best sprinter of each stage, The polka dot jersey is given to the rider who first reach the crest of designated hills and mountains at each stage.The white jersey is given to the fastest rider at each stage under 25 years at the beginning of the racing year.At the end of the competition, the total points are counted and the different jerseys are given to the overall winners.
Is the following sentence true or false? The three main types of
mechanical waves are water waves, longitudinal waves, and surface
waves.
Answer:
False
Explanation:
the three types are transverse, longitude, and boundary