Frequency that the block oscillate with both springs attached is 45 Hz.
Let the spring constants be k₁ and k₂.
When displaced from equilibrium, the magnitude of the net force exerted by the springs is |k₁x + k₂x| acting in a direction so as to return the block to its equilibrium position ( x = 0 ).
Since the acceleration a = d²x / d², Newton’s second law yields,
m( d²x / d² ) = - k₁x - k₂x,
Substituting x = x(m) cos ( ωt + Φ) and simplifying we find
ω² = (k₁ + k₂) / m
where ω is in radians per unit time. Since there are 2π radians in a cycle, and frequency f measures cycles per second, we obtain
f = ω / 2π = 1 / 2π (√k₁ + k₂ / m)
The single springs each acting alone would produce simple harmonic motions of frequency
f₁ = 1 / 2π √(k₁ / m) = 30 Hz
f₂ = 1 / 2π √(k₂ / m) = 45 Hz
respectively, Comparing these expressions, the frequency will be
f = √(f₁² + f₂²)
f = √(30² + 45²)
f = 45 Hz
Therefore, frequency that the block oscillate with both springs attached is 45 Hz.
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No astronomical object that produces a continuous visible spectrum of light has ever been observed. However, there are many astronomical objects that produce emission or absorption spectra. Read the following descriptions of astronomical objects, and then sort the labeled images into the appropriate bins according to the type of spectrum each object produces
Emission spectrum:
- Emission nebula
- Planetary nebula
Absorption spectrum:
- Sun
- Atmosphere on Titan
Spectroscopy is a highly valuable method of astronomical investigation. Astronomers can determine the composition, density, and temperature of celestial bodies by interpreting the light they emit or absorb.
Emission Spectra
- Emission Nebula
- Planetary Nebula
Absorption Spectra
- Titan's Atmosphere
- Sun
Astrophysics is the science that applies the methods and principles of physics and chemistry to the study of celestial bodies and phenomena. As one of the founders of astrophysics put it, astrophysics is about ``determining the nature of celestial bodies, not where they are, not their positions and movements. ”. Stars, galaxies, exoplanets, the interstellar medium, and the cosmic microwave background. Emissions from these objects are examined across all parts of the electromagnetic spectrum, and properties examined include luminosity, density, temperature, and chemical composition. Because astrophysics is such a broad subject, astrophysicists study classical mechanics, electromagnetism, statistical mechanics, thermodynamics, quantum mechanics, relativity, nuclear physics, particle physics, atomic physics, molecular It applies concepts and methods from many fields of physics, such as physics.
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Listed following are distinguishing characteristics of different end states of stars. Match these to the appropriate consequence of stellar death. ► View Available Hint(s) Reset Help usually has a very strong magnetic feld sometimes appears as a pulsar In a binary system, it can explode as a supernova viewed from afar, time stops at its event horizon typically about the size (diameter) of Earth supported by electron degeneracy pressure has a mass no greater than 14 MSU size defined by its Schwarzschild radius White dwarf Neutron star Black hole
White Dwarfs are normally approximately the size (diameter) of Earth, Neutron Stars occasionally appear as pulsars, and Black Holes have sizes determined by their Schwarzschild radii. They are all maintained by electron degeneracy pressure.
Describe white dwarfs:The leftover cores of extinct stars are known as white dwarfs. White dwarfs with the same mass as the Sun are roughly the same size as the Earth, and electron degeneracy pressure protects them from the crushing effects of gravity.
What is a white dwarf's primary pressure source?White dwarfs mostly experience pressure from electron degeneracy, whereas neutron stars predominantly experience pressure from neutron degeneracy. It is the boundary past which nothing or anything can elude.
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what is the magnetic field amplitude of an electromagnetic wave whose electric field amplitude is 12 v/m ? express your answer to two significant figures and include the appropriate units.\
The magnitude of the amplitude of the ⁸magnetic field in the Electromagnetic wave is 36 x 10⁸ T.
The energy of an electromagnetic wave in terms of electric field is given by,
E = 1/2e₀E²
Where,
e₀ is the permittivity of free space,
E is the the electric field amplitude.
The energy of an electromagnetic wave in terms of magnetic field is given by,
E = B²/2u₀
Where,
u₀ is the permeability of free space,
B is the the Magnetic field amplitude.
Both these energies are equal hence,
We can write,
E/B = √e₀u₀
Putting the standard values of e₀ and u₀ and E,
B = 12 x 3 x 10⁸
B = 36 x 10⁸ T
So, the amplitude of the magnetic field is 36 x 10⁸ T.
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the wires of a toaster carry electrical current between the electrical outlet and the toaster. the wires inside the toaster also carry electrical current. during its operation, the wires inside the toaster get hot enough to glow, yet the wires to the outlet do not. list some factors that might determine how hot a wire will get when it conducts electricity. answer:
Some factors that might determine how hot a wire will get when it conducts electricity is Current, Material and Ambient temperature.
Resistance of the wire: The resistance of a wire determines how easily electricity can flow through it. Wires with higher resistance will tend to get hotter when conducting electricity because they resist the flow of current more than wires with lower resistance.
Current: The amount of current flowing through the wire can also affect how hot it gets. Higher current means more electrons are flowing through the wire, which can cause it to heat up more.
Length and diameter of the wire: The length and diameter of the wire can also affect how hot it gets. Longer wires or wires with a larger diameter will tend to have lower resistance, which means they will conduct electricity more easily and may not get as hot as shorter or thinner wires.
Material: The material of the wire can also play a role in how hot it gets. Different materials have different electrical conductivity and resistance properties, which can affect how hot the wire gets when conducting electricity.
Ambient temperature: The ambient temperature of the environment in which the wire is located can also influence how hot it gets. If the ambient temperature is higher, the wire may heat up more quickly due to increased thermal energy.
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a certain transformer doubles input voltage. if the primary coil draws 10 a of current, then the current in the secondary coil is
A certain transformer doubles input voltage. if the primary coil draws 10 a of current, then the current in the secondary coil is 5a
What is Voltage?The voltage represents the potential energy of an electrical charge at a certain location, if one were to place an electrical charge unit there. To put it another way, it is a measurement of the energy present in an electric field or an electric circuit at a certain location. It is equivalent to the amount of labour required to complete each unit of payment.The voltage can be mathematically stated as, where work is measured in joules and charge is measured in coulombs. The voltage is the difference in potential energy between two places in a circuit, according to our definition. The potential of one point is higher than that of the other points.To learn more about Voltage refer to:
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Jan Baptista van Helmont's famous experiment incorrectly showed that the plants produce most of their mass from:
Jan Baptista van Helmont's famous experiment incorrectly showed that the plants produce most of their mass from water.
In physics, mass is used to express inertia, a property common to all matter. In essence, it is the resistance of a mass of matter to changing its course or speed in response to the application of a force. The more mass a body has, the less of a change an applied force makes. Using Planck's constant, the kilogram, the ISU's unit of mass, is equivalent to 6.62607015 1034 joule seconds (SI). One kilogram is multiplied by one square meter per second to produce one joule. Since the second and the meter have already been defined in terms of other physical constants, the kilogram is determined by precise measurements of Planck's constant.
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In searching the bottom of a pool at night, a watchman shines a narrow beam of light from his flashlight, 1.3 m above the water level, onto the surface of the water at a point d = 2.9 m from his foot at the edge of the pool Where does the spot of light hit the bottom of the h = 2.2 m deep pool? Measure from the bottom of the wall beneath his foot. Express your answer to two significant figures and include the appropriate units.
The spot of light hit the bottom of the h = 2.2 m deep pool will hit the bottom at 4.98 m away.
Here ,
height h = 2.2 m
h1 = 1.3 m
d = 2.9 m
let the distance of spot where light hit bottom from side is l
angle of incidence , i = arctan(2.9/1.3)
i = 65.9 degree
Using Snell's law
1 * sin(i) = 1.33 * sin(r)
1 * sin(65.9) = 1.33 * sin(r)
r = 43.4 degree
Now , tan(r) = (l - 2.9)/h
tan(43.4 degree) = (l - 2.9)/2.2
solving for x
l = 4.98 m
the spot Light will hit the bottom at 4.98 m away
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Two long parallel copper wires carry currents of 5A each in opposite directions. If the wires are separated by a distance of 0.5m , then the force between the two wires is
A. 10â5N, attractive
B. 10â5N repulsive
C. 2Ã10â5N, attractive
D. 2Ã10â5N,repulsive
The force between the two wires is 10^-5 N repulsive. option B is the correct answer
The force is repulsive because the currents are in opposition.
From the question, we have
force (F)= μ*i1*i2/2πd
=2*10^-7*5*5/0.5
=10^-5 N
The force between the two wires is 10^-5 N repulsive.
Force:
Physics defines a force as an influence that has the power to change an object's motion. When changing its velocity, such as when moving away from rest, a massed object may accelerate as a result of a force. Being pushed or pulled is a simple way to convey force. Given its magnitude and direction, a force is a vector quantity. Using the newton SI unit, it is computed (N). The letter F represents force. As pushes or pulls are seen as forces, this can provide a clear explanation of how forces are described.
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1. When might an ASDS be most useful and why?
2. How do Trappist-E, -F, and -G contrast with Earth?
3. Why is the greenhouse effect significant? Explain your reasoning.
4. Do you agree that humans are contributing to greenhouse gas levels? Explain your answer.
5. When might a rover be useful and why?
ASDA is found to be very proficient at detecting swirls in a variety of synthetic data with various levels of noise, implying our subsequent scientific results are astute.
What is ASDA?Applying ASDA to photospheric observations with a pixel size of 39.2 km sampled by the Solar Optical Telescope on board Hinode suggests a total number of 1.62 × 105 swirls in the photosphere, with an average radius and rotating speed of ∼290 km and <1.0 km s−1, respectively.
Comparisons between swirls detected in Bifrost numerical MHD simulations and both ground-based and space-borne observations suggest that (1) the spatial resolution of data plays a vital role in the total number and radii of swirls detected, and (2) noise introduced by seeing effects could decrease the detection rate of swirls, but has no significant influences in determining their inferred properties.
All results have shown that there is no significant difference in the analyzed properties between counterclockwise or clockwise rotating swirls. About 70% of swirls are located in intergranular lanes.
Therefore, ASDA is found to be very proficient at detecting swirls in a variety of synthetic data with various levels of noise, implying our subsequent scientific results are astute.
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Answer:
When might an ASDS be most useful and why?
Autonomous Spaceport Drone Ships would be helpful when a spacecraft needs to land in the ocean, for example. These prevent the rocket from being damaged by the water. These are typically used when a spacecraft doesn’t have enough fuel to reach its planned landing spot.
How do Trappist-E, -F, and -G contrast with Earth?
Trappist-E, -F, and -G are the planets that orbit in the habitable zone. They all have a high possibility of having water, similar to Earth. These planets are about the same size as Earth but they have about 100 times more water.
Why is the greenhouse effect significant? Explain your reasoning.
Greenhouse gases is likely what has caused the increase of warmth on our planet (global warming). People add to these greenhouse gases and they trap heat. We don’t know exactly what will be the outcome of the rise in these gases, but so far they have largely contributed to global warming.
Do you agree that humans are contributing to greenhouse gas levels? Explain your answer.
Yes, I do agree. People add to the heat-trapping greenhouse gases, like carbon dioxide, methane, nitrous oxide, and chlorofluorocarbons. Methane, for example, is increased when landfills are made of coal is mined, both of which are human activities.
When might a rover be useful, and why?
A rover might be useful when we are exploring places that aren’t safe for people. Another time rovers might be helpful is when we are exploring places that humans literally can’t go to or conduct research on because of what the planet is made out of. Since a rover isn’t human it can’t experience feelings or get hurt (it can be damaged, but that wouldn’t lose a life) therefore, it’s safer to send a rover at least until we can find out if it’s safe or not.
Explanation:
I had to do this in class
if a capacitor is connected across the feedback resistor, the circuit acts as a practical integrated circuit.T/F
if a capacitor is connected across the feedback resistor, the circuit acts as a practical integrated circuit.is FALSE
What is practical integrated?
Because the mental process and learning information are applied, practical and integrated learning is the best type of learning. Because they are actively involved in the learning process, practical and integrated learning encourages students to greatly develop their learning skills.
The practical integrator is also called as lossy integrator as it integrates only frequencies greater than fa (i.e. higher frequencies) effectively. Thus we can have following observations from frequency response of practical integrator
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a cube of mass m sliding without frictionat speed v0. It undergoes a perfectly elastic collision with the bottom tip of a rod of length d and mass M = 2m. The rod is pivoted about a frictionless axle through its center, and initially it hangs straight down and is at rest. What is the cube's velocity - both speed and direction - after the collision?
The cube's velocity - both speed and direction - after the collision is [tex]v=\frac{v_0}{5}[/tex].
What is kinetic energy conservation?
Kinetic energy, which may be seen in the movement of an object, particle, or group of particles, is the energy of motion. Any moving item uses kinetic energy, such as a person walking, a baseball being thrown, a piece of food falling off a table, or a charged particle in an electric field.
From kinetic energy conservation:
[tex]\begin{gathered}\frac{m v_0^2}{2}=\frac{m v^2}{2}+\frac{I \omega^2}{2} \\I=\frac{M d^2}{12}=\frac{2 m d^2}{12}=\frac{m d^2}{6} \\\frac{m v_0^2}{2}=\frac{m v^2}{2}+\frac{m d^2 \omega^2}{12} \\v_0^2=v^2+\frac{d^2 \omega^2}{6} \Longrightarrow(1)\end{gathered}[/tex]
From angular momentum conservation:
[tex]\begin{gathered}\frac{m v d}{2}=I \omega \\\frac{m v_0 d}{2}=\frac{m d^2 \omega}{6} \\v_0=\frac{d \omega}{3} \\d^2 \omega^2=9 v_0^2 \Longrightarrow(2)\end{gathered}[/tex]
Substituting (2) into (1):
[tex]\begin{gathered}v^2=v_0^2-\frac{3 v_0^2}{2} \\v^2=-\frac{v_0^2}{2}\end{gathered}[/tex]
The correct answer is: [tex]v=\frac{v_0}{5}[/tex]
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match the feature on mars with the best terrestrial analogy. be sure to think broadly. the analogy can be geological, chemical, or conceptual.
The two planets are similar in size, inclination, structure, composition, and the presence of water on their surfaces. They also have many key differences.
While Earth has 23h 56m and 4 s period of rotation, Mars's period of rotation is about 24 hours and 40 minutes. Mars is inclined on its axis, similar to Earth., It is inclined at 25.19° to its orbital plane.
They are both terrestrial planets. This means that both have a dense metallic core and also an overlying mantle and crust, which is composed of less dense materials (like silicate rock).
Mars also has a surface covered by a mountain range. Ice water exists beneath much of the Martian surface. Radar data and soil samples have confirmed the presence of shallow subsurface water at the middle latitudes as well.
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T/F what is the semantic (meaning) of the following sentence? [0.5 pt] show detailed steps to decompose sentence into cnf format [0.5 pt]
The significance or understanding of a word or sentence is referred to as semantic. The way a statement in a multi-page report is understood; the semantic significance of the sentence—is an example of semantics.
What is semantics?
Semantics is the study of the significance of language. It could as well be used on entire texts or just a single word.
For instance, despite the fact that "objective" and "final stop" have identical meanings, semantics novices analyze their somewhat different shades of importance.
Example:
1) Sam was tired [ Adj. Description]
2) My interview was yesterday [Adv. Time].
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White light (400-700 nm) incident on a 600 line/mm diffraction grating produces rainbows of diffracted light.
What is the width of the first-order rainbow on a screen 2.0 m behind the grating?
the width of the first-order rainbow on a screen 2.0 m behind the grating is Δy=0.431m
Briefly:-Finding the angle from a diffraction grating with split space d is necessary to get the fringe location ym.
dSinα=mλ
Slit spacing for a grating with N slits or lines per mm is
d=1/N
d=(1/600mm)
d=1.67×10⁻³mm
At a wavelength of 400 nm:
α=Sin⁻¹(mλ/d)
α=13.9°
The first order lowest wavelength fringe is located in the following location on the screen:
y1= Ltanα
y1=.49445m
For 700nm wavelength:
α=Sin⁻¹(mλ/d)
α=24.8°
The first order highest wavelength fringe is located in the following location on the screen:
y2= Ltanα
y2= .99255m
The first order lowest and highest wavelength fringe's difference is
Δy=(0.925595 - 0.49445)m
Δy=0.431m
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in free fall the initial velocity of the object is always; inertia keeps the ball moving horizontally. the force of gravity acts on the object, causing; what is free fall in physics; what is the acceleration of an object in free fall; in the absence of air resistance, objects fall at constant; forces acting on a falling object; how does air resistance affect falling objects; free fall description
All objects descend toward the Earth's surface with a constant acceleration of g start text, g, end text in the absence of air resistance. g = 9.8 m s 2 g applies to Earth's surface.
When something descends without any air resistance, that is called free fall.Objects that are claimed to be falling freely do not actually experience much air resistance; instead, gravity is the only force acting on them as they fall. Regardless of their mass, all objects will fall with the same rate of acceleration under these circumstances.
What is an object's constant acceleration in free fall?The acceleration of a free falling object can be solved using algebra. The acceleration is constant and equal to the gravitational acceleration g, which at sea level on Earth is 9.8 meters per square second.
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the loop is in a magnetic field 0.40 t whose direction is perpendicular to the plane of the loop. at t=0, the loop has area A=0.285 m2
The emf induced in the loop at t = 0 is
Part a)
[tex]$$\text { EMF }=14 \times 10^{-3} \mathrm{~V}$$[/tex]
The emf induced in the loop at t = 1.00 s
Part b)
[tex]$$E M F=15.67 \times 10^{-3} \mathrm{~V}$$[/tex]
What is emf induced ?
As we know that magnetic flux through the loop is given as [tex]$\phi=B . A$[/tex]
now we have
[tex]$$\phi=B \pi r^2$$[/tex]
now rate of change in flux is given as
[tex]\frac{d \phi}{d t}=B(2 \pi r) \frac{d r}{d t}$$[/tex]
now we know that
[tex]$$\begin{aligned}& A=\pi r^2 \\& 0.285=\pi r^2 \\& r=0.30 m\end{aligned}$$[/tex]
Now plug in all data
[tex]$$\begin{aligned}& E M F=(0.20) \times 2 \pi \times(0.30) \times(0.037) \\& E M F=14 \times 10^{-3} V\end{aligned}$$[/tex]
Now the radius of the loop after [tex]$t=1 \mathrm{~s}$[/tex]
[tex]$$\begin{aligned}& r_1=r_0+\frac{d r}{d t} \\& r_1=0.30+0.037 \\& r_1=0.337 m\end{aligned}$$[/tex]
Now plug in data in above equation
[tex]$$\begin{aligned}& E M F=(0.20) \times 2 \pi \times(0.337) \times(0.037) \\& E M F=15.67 \times 10^{-3} V\end{aligned}$$[/tex]
Complete question:The loop is in a magnetic field 0.40 T whose direction is perpendicular to the plane of the loop. At t = 0, the loop has area A = 0.285 square m.Suppose the radius of the elastic loop increases at a constant rate, dr/dt = 3.70 cm/s .
A) Determine the emf induced in the loop at t = 0.
B)Determine the emf induced in the loop at t = 1.00 s .
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Stanley Milgram Shock experiment participants gave intense electric shocks to strangers if they were asked to do so by the experimenter No shocks were actually delivered but the participants believed that they were delivering the shocks and kept shocking the stranger (who was really an actor seated in another room) as punishment for responding incorrectly to a word problem
The Milgram Experiment with Shock By Saul McLeod, 2017 update One of the most well-known experiments on obedience in psychology was conducted by Yale University psychologist Stanley Milgram.
He conducted an experiment that looked at the tension between following orders and one's conscience. Stanley Milgram, a social psychologist at Yale University, conducted the Milgram experiment (or experiments) on compliance to authoritative persons. November 5, 2018 revision. Stanley Milgram, a psychologist, investigated the ideas of submission and authority in a number of research in the 1960s. His studies comprised giving study participants orders to shock an actor in a different room with shocks of increasing voltage; the actor would scream at first and then go silent as the shocks grew stronger.
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5. What is the difference in momentum between
a 50.0-kg runner moving at a speed of 3.00 m/s
and a 3.00×10³-kg truck moving at a speed of
only 1.00 m/s?
The difference in momentum between the runner and truck with different masses and velocities is 2850kgm/s.
What is momentum?Momentum in physics is the tendency of a body to maintain its inertial motion. It is the product of its mass and velocity, or the vector sum of the products of its masses and velocities.
Momentum, denoted by p, can be calculated as follows:
p = mv
According to this question, a 50.0-kg runner moving at a speed of 3.00 m/s and a 3.00×10³-kg truck moving at a speed of only 1.00 m/s.
Momentum of the runner = 50kg × 3m/s = 150kgm/sMomentum of truck = 3000kg × 1m/s = 3000kgm/schange in momentum (∆p) = 3000 - 150 = 2850kgm/s
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electromagnetic plane wave 0 points possible (ungraded) an electromagnetic plane wave is propagating in vacuum, and has a magnetic field given by: where and are positive quantities.
Electromagnetic waves propagate not only in air and solids but also in vacuum space.
Electromagnetic waves are different from sound waves because they don't need molecules to move. This means that electromagnetic waves can penetrate air solids and even outer space. Both electric and magnetic fields are sinusoidal in-plane electromagnetic waves. As you know, a sine wave has zero mean.
These are transverse waves and do not require a medium to travel. They do not obey the laws of reflection and refraction. Magnets do not require gravity or air. Instead, their power comes from the electromagnetic fields they generate themselves. A type of magnet called an electromagnet requires electricity to function. However, if you can run an electric current in space, it will still work.
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estimate the number of neutron stars black holes in the cluster relative to the number of main-sequence stars in the cluster.
According to estimates, the Night Sky alone contains between ten million and one billion supermassive black holes.
The contents of black holes.The singularity, the outside and inner event horizons, and black holes all have three "layers." A black wall's event horizon is the area surrounding its mouth beyond which light cannot travel. A particle cannot depart the event horizon once it has done so.
How might a black hole affect Earth?Black holes are numerous, but there is no need to be alarmed because they will not eat the Earth or the entire universe. The possibility of Earth ever being absorbed by a black storm is utterly remote. This is because their gravitational influence is less powerful at a distance.
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in this kind of amplifier, the output is exactly in phase to input. when a ve voltage is applied to the circuit, then the o/p will be positive. the o/p is non-inverted in terms of phase.
The amplifier is non-inverting amplifier.
What is amplifier?
A circuit that enlarges a signal is called an amplifier. The idea behind an amplifier is to create an output signal that is a copy of the input signal but with a stronger magnitude.
What is non-inverting amplifier?
An operational amplifier circuit with a non-inverting amplifier has an output voltage that is in phase with the input voltage. The inverting op amp, which generates an output signal that is 180 degrees out of phase, is its complement. Its output and input signal are in phase. It just amplifies the signal without altering its phase. It does not invert the phase of the signal, as its name would imply.
The amplifier is non-inverting amplifier.
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jose is standing on the beach along the shoreline. using his cellphone as a stopwatch, he records the time it takes for ten waves to crash to his feet. Which of the following waves characteristics is he mesuring? A. Frequency B. Ampltiude C. Wave Speed D. Wave Length
Jose uses his cellphone as a stopwatch, he records the time it takes for ten waves to crash to his feet therefore the waves characteristics which he is measuring is referred to as the frequency and is denoted as option A.
What is a Wave?This is referred to as a disturbance or variation that transfers energy progressively from point to point in a medium without the actual movement of the molecules.
Frequency on the other hand is referred to as the number of waves that pass a fixed point in a given amount of time and its unit is Hertz which is therefore the reason why it was chosen as the correct choice.
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A car moving at 18 m/s crashes into a tree and stops in 1.14 s. The mass of the passenger inside is 69 kg.Calculate the magnitude of the average force, in newtons, that the seat belt exerts on the passenger in the car to bring him to a halt.
The force the seat belt exerts on a passenger in the car to bring him to a halt is 0.6 × [tex]10^{3}[/tex]
A car moving at 18 m/s crashes into a tree and stops in 1.14 s. calculate the force the seat belt exerts on a passenger in the car to bring him to a halt. the mass. of the passenger. is 69. kg
Generally the equation for the net Force is mathematically given as
Fnet = mdv/dt
net = 69*10/1.14 = 0.6 × [tex]10^{3}[/tex]
When objects interact with one another, push and pull are generated. You can also describe force using words like stretch and squeeze.
Force is described as follows in physics:
A massed item changes its velocity in response to a push or pull.
Force is applied at a location known as the application, and the direction in which it is applied is referred to as the force's direction.
Using a spring balance, one can quantify the Force. Newton is the unit of force in the SI (N) The following list of consequences of the Force is not exhaustive.
A body at rest can move with enough force.
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momentum of the system is constant for elastic collisions, but momentum of the system is lost during inelastic collisions. t/f
Momentum of any system is constant in all over elastic collisions, but momentum for the system doesn't lost during inelastic collisions. so it's False.
An elastic collision is a collision wherein there's no internet loss in kinetic power withinside the gadget because of the collision. Both momentum and kinetic power are conserved portions in elastic collisions. Suppose comparable trolleys are journeying closer to every different with identical speed. They collide, bouncing off every different without a loss in speed. This collision is flawlessly elastic due to the fact no power has been misplaced.
In reality, examples of flawlessly elastic collisions aren't a part of our ordinary experience. Some collisions among atoms in gases are examples of flawlessly elastic collisions. However, there are a few examples of collisions in mechanics wherein the power misplaced may be negligible. These collisions may be considered elastic, despite the fact that they may be now no longer flawlessly elastic. Collisions of inflexible billiard balls or the balls in a Newton's cradle are such examples.
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A hiker of mass 69 kg is going to climb to the top of Mount Tam, which has an elevation of 2.574 ft. 4 50% Part (n) If the hiker starts climbing at an elevation of 395 ft what will their change in gravitational potential energy be, in joules, once they reach the top? Assume the zero of gravitational potential energy is at sea level AV- Grade Summary Deductions 0 Potential 100 Soheissions Atempts remaining: e per attempt detailed view sino cos tan cotano asino acos atan acotano sinho cosh tanho cotanho Degrees O Radians ( 7 8 9 ET 4 5 6 123 + - 0 vo Submit Hini I give up! Hints: deduction per hint. Hints remaining: Feedback deduction per feedback A 50% Part (b) Repeat the above calculation for the change in gravitational potential energy, but assume the gravitational potential is zero at the top of the mountain
a. The gravitational potential energy change is 449.105 kJ
b. The gravitational potential energy change is 449.105 kJ
What is gravitational potential energy?Gravitational potential energy is the energy due to the position of an object. It is given by U = mgh where
m = mass of object, g = acceleration due to gravity and h = height of objectPart (a) If the hiker starts climbing at an elevation of 395 ft what will their change in gravitational potential energy be, in joules, once they reach the top?Since the mountain is 2574 ft high, the gravitational potential energy change is given by ΔU = mg(h' - h) where
m = mass of man = 69 kgg = acceleration due to gravity = 9.8 m/s²h = height at top of mountain = 2574 ft = 2574 × 0.3048 m = 784.56 m and h' = height where he starts climbing = 395 ft = 395 × 0.3048 m = 120.40 mSubstituting the values of the variables into the equation, we have
ΔU = mg(h' - h)
ΔU = 69 kg × 9.8 m/s²(784.56 - 120.40) m
ΔU = 69 kg × 9.8 m/s² × 664.16 m
ΔU = 449104.992 J
ΔU = 449.104992 kJ
ΔU ≅ 449.105 kJ
So, the gravitational potential energy change is 449.105 kJ
Part (b) Repeat the above calculation for the change in gravitational potential energy, but assume the gravitational potential is zero at the top of the mountain?We know that the gravitational potential energy change is ΔU = U' - U = mg(h' - h) where
U' = gravitational potential energy at top = 0, U' = gravitational potential energy at starting point, m = mass of man = 69 kg g = acceleration due to gravity = 9.8 m/s²h = height at top of mountain = 2574 ft = 2574 × 0.3048 m = 784.56 m and h' = height where he starts climbing = 395 ft = 395 × 0.3048 m = 120.40 mSubstituting the values of the variables into the equation, we have
ΔU = U - U' = mg(h' - h)
ΔU = 0 - U' = 69 kg × 9.8 m/s²(784.56 - 120.40) m
ΔU = 69 kg × 9.8 m/s² × 664.16 m
ΔU = 449104.992 J
ΔU = 449.104992 kJ
ΔU ≅ 449.105 kJ
So, the gravitational potential energy change is 449.105 kJ
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please help and explain
King Kong carries Fay Wray up the 321-meter high Empire State Building. At the top of the skyscraper, Fay Wray’s shoe falls from her foot.
Neglecting air resistance, how long does it take for the shoe to reach the ground?
The time taken for the shoe to reach the ground is 8.1 seconds.
What is the time of motion of the shoe?
The time taken for the shoe to reach the ground is known as the time of motion of the shoe.
The value of the time of motion of the shoe is calculate using the following kinematic equation.
h = vt + ¹/₂gt²
where;
h is the height of fall of the shoev is the initial vertical velocity of the shoeg is acceleration due to gravityt is the time taken for the shoe to hit the groundThe initial vertical velocity of the shoe = 0
The new equation becomes;
h = 0 + ¹/₂gt²
t = √(2h/g)
t = √(2 x 321 / 9.8)
t = 8.1 seconds
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Describe the words the motion of the object from 0- 6.0s
The motion of the object from 0 to 6 seconds is a linear motion; the displacement of the object is zero between 0 to 2 seconds, afterwards between 2 to 6 seconds, the displacement of the object increased with increase in time of motion.
What is the motion of an object?
The motion of an object is described as the change in the position of an object with time.
The motion of an object can occur at;
constant velocityconstant accelerationuniform velocityincreasing velocityDuring the motion of an object at a constant velocity, the acceleration of the object for the time period is zero.
If the motion of the object occurs at uniform velocity, the acceleration of the object will be constant.
In the given graph, we can conclude the following based on the object's motion;
between 0 to 2 seconds : the displacement of the object is zerobetween 2 to 6 seconds: the displacement of the object increased with increase in time of motion.Learn more about motion of an object here: https://brainly.com/question/28180340
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An SUV's engine provides 3500 N of force for a vehicle that has a mass 2000 kg. If an engineer develops a new chassis for the SUV that is two times the mass, what is the acceleration of the vehicle with the new chassis?
A. 0.88 m/s^2
B. 5.7 m/s^2
C. 1.75 m/s^2
D. 1.14 m/s^2
Answer:
A. 0.88 m/s²
Explanation:
Newton's second law:
F = ma
The force is 3500 N, and the mass is 2×2000 kg = 4000 kg.
3500 N = (4000 kg) a
a = 0.88 m/s²
10- A block attached to a spring oscillates in simple harmonic motion along the x axis. The
limits of its motion are x = 10cm and x = 50 cm and it goes from one of these extremes to
the other in 0.25 s. Its amplitude and frequency are:
A 40 cm. 2Hz
B. 20 cm, 4Hz
C. 40cm, 2Hz
D. 25 cm, 4Hz
E. 20 cm, 2Hz
Answer:
Choice E.
Amplitude: [tex]20\; {\rm cm}[/tex].
Frequency: [tex]2\; {\rm Hz}[/tex].
Explanation:
The amplitude of a simple harmonic motion (SHM) is the maximum displacement from equilibrium.
In this question, the equilibrium is in the center of the two extremes. With one extreme at [tex]x = 10\; {\rm cm}[/tex] and the other at [tex]x = 50\; {\rm cm}[/tex], the center will be at [tex](1/2)\, (10 + 50)\; {\rm cm} = 30\; {\rm cm}[/tex].
The maximum displacement will be [tex](50\; {\rm cm} - 30\; {\rm cm}) = 20\; {\rm cm}[/tex] (or equivalently, [tex](30\; {\rm cm} - 10\; {\rm cm}) = 20\; {\rm cm}[/tex].
Frequency measures the number of cycles completed in unit time (e.g., one second.) In one full cycle of an SHM, the oscillator will travel from one extreme to another and then back to the original extreme. In this question:
Travel from one extreme to the other: [tex]0.25\; {\rm s}[/tex].Travel from the other extreme back to the original one: [tex]0.25\; {\rm s}[/tex].In other words, one full cycle of this SHM will take [tex]0.25\; {\rm s} + 0.25\; {\rm s} = 0.50\; {\rm s}[/tex]. The period of this SHM will be [tex]0.50\; {\rm s}[/tex]. Hence, the frequency of this SHM will be:
[tex]\begin{aligned} (\text{frequency}) &= \frac{1}{(\text{period})} \\ &= \frac{1}{0.50\; {\rm s}} \\ &= 2\; {\rm Hz}\end{aligned}[/tex].
A galaxy with constant mass density within 20,000 light-years of its center, and zero density beyond that distance.
The Milky Way's rotation curve provides evidence for dark matter. Here's why. The correct answer is in the image
The rotation curve extends far beyond the disk of the Milky Way. Our galaxy belongs to a cluster of about 54 galaxies, the so-called local group. This map shows the distribution of about three-quarters of the galaxy.
The Milky Way and Andromeda galaxies are the largest and most massive galaxies in the Local Group of galaxies. Evidence for the existence of gravitational dark matter is evident in astronomical observations, from early observations of large movements of galaxies within clusters and of the movement of stars and gas within galaxies.
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