When we see x-rays from an accretion disk in a binary system, we can't immediately tell whether the accretion disk surrounds a neutron star or a black hole. suppose we then observe each of the following phenomena in this system. Intense X-rays bursts would rule out the possibility of a black hole.
About accretion diskThis is rotating gas that forms around objects that have a large gravitational force. It can be found around black holes or stars where matter collapses due to gravity to a central object. Accretion disks are structures formed by matter orbiting very large objects. The object is usually a star.
Gravity pulls matter on the disk toward the object it is orbiting. The force of gravity and friction suppresses and raises the temperature of the material to form electromagnetic radiation. The frequency of the radiation depends on the mass of the object being surrounded.
The accretion disks of young stars and protostars form the infrared; The disk surrounding the neutron star and black hole forms X-rays. Research on accretion disks is called discoseismology.
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Which section shows the greatest rate of positive acceleration?
The rate at which an object changes its velocity is known as acceleration, a vector quantity.
What kind of positive acceleration is the greatest?When the rate of change of velocity in an increasing sense (the slope of the velocity-time curve) is at its highest positive value, acceleration will be at its maximum positive value.The rate of change in velocity is greater for the graph with the sharpest slope. That thing is moving with the most velocity.The velocity-time graph displays a line with an upward slope, indicating a positive acceleration; the line is situated in the graph's positive area (corresponding to a positive velocity).When the car accelerates positively, its speed rises. As the car slows down, its speed decreases.When an object accelerates in the same direction as its velocity, it is doing so in that same direction. This object is therefore moving at a positive rate.To learn more about greatest rate of positive acceleration refer to:
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If you are learning to juggle it would be good to slow the ball's acceleration. You can do this by using: A. Lighter balls B. Heavier balls C. More balls D. None of the above
The answer is None of the above.
What is acceleration?
Acceleration is the rate at which velocity changes over time, both in terms of speed and direction. A point or object travelling in a straight path is accelerated if it accelerates or decelerates.
The acceleration imparted to objects as a result of the combined influence of gravitation and centrifugal force.
During juggling, there is no way to slow down ball's acceleration. Gravity acts as a downward acceleration force as soon as a ball is thrown into the air. The only way a juggler may slow down a pattern is by changing the height of his throws because the acceleration of gravity is constant.
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when light passes from a material with a high index of refraction into material with a low index of refraction: is the meaning of?
When light passes from a material with a high index of refraction into material with a low index of refraction, it is the meaning of a)incident angle. So, correct option is a.
Refraction of light is quite possibly of the most regularly noticed peculiarity, however different waves like sound waves and water waves additionally experience refraction. Refraction makes it feasible for us to have optical instruments, for example, amplifying glasses, focal points and crystals. It is likewise a direct result of the refraction of light that we can shine light on our retina.
The refractive file, additionally called the record of refraction, depicts how quick light goes through the material.
The refractive index is dimensionless in nature. For a given material, the refractive record is the proportion between the speed of light in a vacuum (c) and the speed of light in the medium (v). On the off chance that the refractive record for a medium is addressed by n, it is given by the accompanying recipe:
n=c/v
where n is refractive index, c is the speed of light in vacuum and v is the speed of light in other medium.
Hence, correct option is a.
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(Complete question) is:
when light passes from a material with a high index of refraction into material with a low index of refraction: it is the meaning of?
a)incident angle
b)speed of light
c)refraction angle
d)all of the above
A loop of wire is at the edge of a region of space containing a uniform magnetic field B. The plane of the loop is perpendicular to the magnetic field. Now the loop is pulled out of this region in such a way that the area A of the coil inside the magnetic field region is decreasing at the constant rate . That is, dA/dt=−c , with c >0 . The induced emf in the loop is measured to be V. What is the magnitude B of the magnetic field that the loop was in? Express your answer in terms of some or all of the variables A ,c , and V. Homework Equations :
ϵ=|dΦm.dt| Φm=AB ϵ=lvB
The magnitude of the magnetic filed B at the loop is found as V/c.
Explain the term magnetic flux?A measurement of a total magnetic field that traverses a specific area is called magnetic flux. It is a helpful tool for explaining how the magnetic force affects things inhabiting a certain area.For the stated question-
The formula for magnetic flux;
Φ = BA
In which,
B = magnetic field A = areaNow,
Differentiate the flux with respect to time as putting B as constant;
dΦ/dt = B•dA/dt
Using Faraday's law, EMF induced is;
E = -dΦ/dt
However, we prefer to describe it in terms of V and E.M.F., which are also used to refer to voltage or potential difference.
V = -dΦ/dt
Thus, potential difference be-
-V = B•dA/dt
In term of a given area dA/dt = - c
-V = B•(-c)
V = Bc
B = V/c
Therefore, the magnitude of the magnetic filed B at the loop is found as V/c.
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The correct question is attached.
Two lasers are shining on a double slit, with slit separation d. Laser 1 has a wavelength of d/20, whereas laser 2 has a wavelength of d/ 15. The lasers produce separate interference patterns on a screen a distance 4.40 m away from the slits. Part What is the distance Aymamin between the second maximum of laser 1 and the third minimum of laser 2 on the same side of the central maximum? Express your answer in meters. View Available Hint(s) Ay mas ma 5867 k m Submit Previous Answers x incorrect: Try Again; 3 attempts remaining
the distance Aymamin between the second maximum of laser 1 and the third minimum of laser 2 on the same side of the central maximum is 0.4 m
For part be we can use the equation
ym = m*λ*L/d
so for the first max for each one m =1
so for laser 1
y = (d/20)*(6.0m)/d
y = 6.0m /20 = 0.3
for laser 2 we do the same thing
y = 6.0m/15 = 0.4
y ( laser1 ) < y ( laser2 )
(1) hence first maxima of laser1 is closest to central maxima
Δy = 0.4m -0 .3 m = 0.1m
For part C)
we use the same equation to find the y for laser 1, except m =2
y= 2*6.0 m / 20 = 0.6 m
Now for laser 2 we use:
ym=(m+1/2)*λ*L/d
since there is no central minimum the first minimum is at m = 0.that means that the third minimum is at m = 2
simplifying the equation we get
y = (2.5)*6.0 / 15 = 1m
now we solve
Δy= 1m - 0.6m = 0.4 m
Double Slit Experiment:
The double-slit experiment shows that light and matter can exhibit properties of both classically defined waves and particles. Furthermore, it demonstrates the fundamental stochastic nature of quantum mechanical phenomena.
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First-order analysis of a seismogram record allows seismologists to do all but which of the following?
First-order analysis of a seismogram record enables seismologists to do all except to develop a Modified Mercalli Intensity map.
First-order analysis of a seismogram record identifies the different kinds of seismic waves reaching to the earth's surface by the fault movement. This analysis records P waves.
The P wave will be the first wave to reach the surface. P waves are the fastest seismic waves. So, they will usually be the first ones that are recorded by a seismograph. The next seismic waves to record on a seismogram are the S waves.
A seismograph is the main instrument used to measure earthquakes. The seismograph produces a digital graphic recording of the ground motion caused by the reaching seismic waves on the earth surface. The digital recording is known as a seismogram.
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a system of volume v and temperature t consists of n independent, distinguishable particles, each of which can be in one of two states, with energy equal to 0 or e respectively. determine the partition function of the system
The partition function of a system of particles is a statistical measure that describes the distribution of particles over different energy states.
It is defined as:
Z = Σexp(-E_i/kT)
where Z is the partition function, E_i is the energy of the i-th particle, k is the Boltzmann constant, and T is the temperature of the system. The sum is taken over all possible energy states of the particles.
In the case of a system of volume v and temperature t consisting of n independent, distinguishable particles, each of which can be in one of two states with energy equal to 0 or e, the partition function can be expressed as:
Z = exp(-0/kT) + exp(-e/kT)
This is because there are two possible energy states for each particle (0 or e), and the partition function is a sum over all possible energy states of the particles.
Substituting the values of k, T, and e into the partition function equation, we can compute the value of Z:
Z = exp(-0/kT) + exp(-e/kT)
= exp(0) + exp(-e/kT)
= 1 + exp(-e/kT)
Thus, the partition function of the system is given by the equation:
Z = 1 + exp(-e/kT)
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2 forces act concurrently on an object. their resultant force has the largest magnitude when the angle between the forces is 0, 30, 90, 180
When the two forces act towards concurrently about an object, then their resultant kind of force will have the largest magnitude so that the angle among the forces is zero. Option (1).
Let θ₁ and θ₂ be two main angles among the the two forces with the direction of motion.
To maintain the motion in indicated direction, the net force will be,
F = cos θ₁ + cos θ₂
= (cos θ₁ + cos θ₂)
= cos [(θ₁+θ₂)/2] cos[(θ₁-θ₂)/2]
The maximum amount of value of the cosine function is always 1, which occurs when its argument will be zero.
Therefore the maximum value of F occurs when
θ₁ + θ₂ = 0
or
θ₁ - θ₂ = 0
Add the two equations to obtain
2 θ₁ = 0 => θ₁ = 0
Also, θ₂ = θ₁ = 0.
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Correct Question:
Two forces act concurrently on an object. their resultant force has the largest magnitude when the angle between the forces is
1. 0
2. 30
3. 90
4. 180
list and briefly define the 7 perspective/models of psychology
Cognitive, behavioral, psychodynamic, humanistic, biological, sociocultural, and evolutionary views are the perspective of psychology
How does psychology define and explain it from many angles?There are various psychological perspectives on and explanations for human behavior. When examining how people think, feel, and behave, psychologists draw on a range of views.
4 main psychological viewpoints
Psychoanalytical Viewpoint.Humanistic viewpointPerspective on traits.Social Cognitive Viewpoint.The majority of ideas and studies that aim to comprehend the cognitive, emotional, and behavioral processes that humans encounter on a daily basis are built around these objectives.
Cognitive, behavioral, psychodynamic, humanistic, biological, sociocultural, and evolutionary views are the main ones in psychology that have recently arisen.
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Problem Statement: Two 8-kg blocks A and B resting on shelves are connected by a rod of negligible mass. Knowing that the magnitude of a horizontal force P applied at C is slowly increased from zero, determine the value of P for which motion occurs, and what that motion is, when the coefficient of static friction between all surfaces is (a) js = 0.40, (b) ps = 0.50. Figure: с P 100 mm B 8 kg -200 mm 25° AO 8 kg
In comparison to protons and neutrons, electrons have a very low mass (9.10938356 10 31 kg). An electron weighs about 1837 times as much as a proton, with a mass of (1.67262191027kg). Atoms' nuclei almost entirely account for their mass. There are only protons and neutrons present inside the nucleus.
In physics, what is insignificant?
Negligible refers to the ability to ignore or neglect. There are occasions when a force in physics is so little that its impact on the overall phenomenon is negligible. When you throw an apple up, for instance, the apple draws the earth, yet the earth does not move because the force the apple exerts is very little or inconsequential.
Why is mass so small?
If object A weighs 1 gram and object B weighs 1 kilogram, then object A is said to have a negligible mass in comparison to object B because it weighs so little. In mathematical problems, we typically neglect trivial values to avoid adding complexity.
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three identical blocks, X, Y, and Z, hang up from identical strings, as shown in the figure. which of the following free-body diagrams could represent the forces exerted on block Y?
The free-body diagram that could represent the forces exerted on block Y is upward tension force due to block X and downward tension force due to block block Z and its own weight.
option D is the correct answer.
What is free body diagram?A free-body diagram is a sketch of all the forces acting on the given object with all the surrounding objects stripped away and all of the forces acting on the body shown in their respective direction.
For the three identical blocks, X, Y, and Z, hang up from identical strings, as shown in the figure, the following are the direction of the forces acting on the string.
weight of block X -----> acting downwards
weight of block Y ------> acting downwards
weight of block Z ------> acting downwards
According to Newton's third law of motion, acting and reaction are equal and opposite.
As the weight of the blocks are acting downwards, the tension in the rope supporting the weights will be acting upwards.
The total weights of the = downward force of gravity
The tension in the string = upward tension force
The free body diagram is sketched as;
↑ F (Tension Up)
Ф
↓ ↓ F (Gravity) + F (tension down)
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you are working for seti, the search for extraterrestrial intelligence. one day, you receive a radio communication from an alien intelligence. although you cannot understand their language, they have included some photos from an i love lucy episode. the photos allow you to determine that it is the episode in which lucy makes a television commercial on vitameatavegamin. this episode first aired on cbs on may 5, 1952. before running to your supervisor to tell him the news, you quickly determine how far away in light-years the alien civilization is. (enter the maximum possible distance.)
The maximum possible distance in light-years of the alien civilization that sent the radio communication containing photos from the "I Love Lucy" episode "Vitameatavegamin" is approximately 22.1 light-years.
To determine the maximum possible distance in light-years of an alien civilization that has sent you a radio communication containing photos from the "I Love Lucy" episode "Vitameatavegamin," you can use the fact that light travels at a constant speed of approximately 299,792,458 meters per second.
Since the episode "Vitameatavegamin" first aired on May 5, 1952, the maximum possible distance in light-years of the alien civilization would be the distance that light could have traveled in the time since the episode aired.
To calculate this distance, you can use the following formula:
d = c × t
Where d is the distance in meters, c is the speed of light in meters per second, and t is the time in seconds.
To convert the distance from meters to light-years, you can use the conversion factor 1 light-year = 9.46 x 10^15 meters.
Plugging in the values for the speed of light and the time since the episode aired (70 years), we get:
d = 299,792,458 m/s × (70 years × 365 days/year × 24 hours/day × 3600 seconds/hour)
= 2.09 x [tex]10^{17}[/tex] meters
Converting this distance to light-years using the conversion factor above, we get:
d = 2.09 x [tex]10^{17}[/tex] meters / (9.46 x [tex]10^{15}[/tex] meters/light-year)
= 22.1 light-years
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use equation 2 from the lab manual to predict the speed of sound (in m/s) in air at 27o c. never include units with a numerical answer.
The speed of the sound in air at a temperature of 29 degree celsius is 10.9m/s.
The speed of sound at any particular temperature can be calculated by using the formula,
V = √yRT/M
Where,
V is the speed of sound,
y is the adiabatic constant,
R is the gas constant,
T is the temperature and M is the molecular mass.
We can assume the molecular mass of the air to be 29 g/mol.
Also we can assume the year to be a diatomic gas so the value of the adiabatic constant will be 1.4.
Now assigning all the values,
V = √1.4 x 8.31 x 300/29
V = 10.9 m/s.
So, the speed of the sound in the air at a temperature of 27 degree Celsius is 10.9m/s.
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the state of stress on a thin-walled cylindrical vessel can be found through equilibrium equations and the assumption that the stresses in the wall thickness have a uniform distribution. summing the forces in the longitudinal direction can obtain the axial stress. this axial stress can be represented by which of the following equations?
In a thin wall pressure vessel, two stresses exist: the longitudinal stress and the hoop stress .
A cylinder is said to be "thin walled" if its radius to thickness (r/t) ratio is at least 10. The internal pressure that is still present in this region of the cylinder is depicted by the pressure field below. The pressure remains steady during the whole cut of the cylinder. Thick wall pressure vessels are determined by the relationship between the mean radius of the vessel and the wall thickness. If this ratio is greater than 10, the vessel is categorized as a thin wall pressure vessel.
A pressure vessel with a thick wall is one in which the ratio is less than 10.
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Constants A film contains a single thin slit of width a. When monochromatic light passes through this slit, the first two dark fringes on either side of the center on a distant screen are a distance x apart. Part A If you increase the width of the slit, these two dark fringes will move closer together. move farther apart. remain the same distance apart.
These two dark fringes will travel in closer proximity if the slit's width is increased for a Constants A film has just one a-width tiny slit. When this slit is open, monochromatic light enters.
The relationship between the slit width and the distance from the centre maximum to y is (m*(lamda)*D/a, where D is the separation between the slit and the screen and lamda is the wavelength of light, meaning that y is inversely proportional to 1/a. Therefore, monochromatic light is simply light of a single colour. It denotes light that has only one wavelength in scientific terminology. The term "light" refers to the visible and near-visible components of electromagnetic radiation. It is made up of propagating, perpendicularly oscillating sinusoidal waves in the magnetic and electric fields.
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Assignment 6.3: PRESSURE IN WATER PIPE
Water is flowing smoothly through a closed pipe system. At one point the speed of
water is 3 ms, while at another point 3 m higher, the speed is 4 ms. At lower
point the pressure is 80 kPa. Find the pressure at the upper point.
The pressure of water at the upper point of the closed pipe system is 47,100 Pa.
What is the pressure of water at the upper point?
The pressure of water at the upper point is calculated by applying Bernoulli's equation as shown below;
P₂ = (P₁ + ¹/₂ρv₁² + ρgh₁) - ( ¹/₂ρv₂² + ρgh₂)
where;
P₁ is the pressure at the lower point = 80 kPa = 80,000 Pav₁ is the velocity at the lower point = 3 m/sh₁ is the height at the lower point = 0 mv₂ is the velocity at upper point = 4 m/sh₂ is height at the upper point = 3 m ρ is density of water = 1,000 kg/m³P₂ = (P₁ + ¹/₂ρv₁² + ρg(0)) - ( ¹/₂ρv₂² + ρgh₂)
P₂ = (P₁ + ¹/₂ρv₁²) - ( ¹/₂ρv₂² + ρgh₂)
The pressure of water at the upper point of the closed pipe system is calculated as follows;
P₂ = ( 80,000 + ¹/₂(1000)(3)² ) - ( ¹/₂(1000)(4)² + (1000 x 9.8 x 3) )
P₂ = 84,500 - 37,400
P₂ = 47,100 Pa
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Generally, the maximum static friction force is greater than the kinetic frictional force. In which of these situations is this invalid? None of the other answers is correct since the rule is never violated. One of the bodies is moving with a very low velocity over the surface of the other. The normal pressure is very low. The normal pressure is very high.
None of the other answers is correct since the rule is never violated.(Option A).
Static and dynamic friction, When two systems are in contact with each other and at rest, the friction between them is called static friction. When two systems are in contact and moving relative to each other, the friction between them is called kinetic friction.The force required to induce motion (ie, overcome static friction) is greater than the force required to sustain motion (ie, overcome kinetic friction). Therefore, the sliding friction coefficient (μk) is smaller than the static friction coefficient (μs).
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Now use a handle in the middle to make the pipe narrower in the middle. Record the readings of the flux meter: Flow rate: 5000L/s, area: 1.1m2Which of these quantities stayed the same when you change the size of the pipe and why? Please also move the speed gauge around to see how the speed varies at different locations inside the pipe.
Flow rate stayed the same but why...?
The flow rate is given as 5000L/s, which means that 5000 liters of fluid pass through a cross-sectional area of 1.1m2 per second. If the size of the pipe is changed by using a handle to make it narrower in the middle, the cross-sectional area of the pipe will also change.
However, if the flow rate remains the same, it means that the volume of fluid passing through the pipe per unit of time is still constant.
To maintain the same flow rate, the velocity of the fluid must increase as the cross-sectional area decreases, and vice versa. This can be observed by moving the speed gauge around to different locations inside the pipe and measuring the speed of the fluid at those locations.
As the cross-sectional area of the pipe decreases, the velocity of the fluid will increase, and as the cross-sectional area increases, the velocity of the fluid will decrease.
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a projectile is fired at an angle of 55 above the horizontal and has a maximum up[ward vertical diusplacement
A projectile being fired at 55 degrees after the magnitude of the horizontal component of the projectile's displacement is 40.2m
Initial velocity of projectile (v) = 35 m/s
Given Angle (θ)= 55°
Estimating, horizontal components of velocity
[tex]v_{x}[/tex] = v cosθ
= 35 cos 55°
= 20.1 m/s
Calculating the horizontal components of displacement after t = 2
d₂ = [tex]v_{x}t[/tex]
= 20.1 x 2
= 40.2 m
Projectile motion refers to the motion of an object or particle that is launched into a gravitational field, such as from the surface of the Earth, and travels along a curved path while only being influenced by gravity. An object that is fired into the air and only reacts to the acceleration of gravity is called a projectile.
The projectile's path is the name for the object's trajectory. A projectile is any object that is sent into space with only gravity acting on it. The primary force affecting a projectile is gravity. This doesn't mean that other forces don't have an impact; it just means that they have a much smaller one compared to gravity.
Note that the full question is:
A projectile is fired at an angle of 55° above the horizontal with an initial speed of 35.0 m/s. What is the magnitude of the horizontal component of the projectile's displacement at the end of 2 s?
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What is the frequency of a red light( red light has a wavelength of 700 nanometers ) ( 1 nanometer: 1*10^9 meters)
When the wavelength is 700 NM, the frequency of red light is 4.29 x 1014 Hz.
What frequency is red light with a 700 nm wavelength?For instance, visible red light with a wavelength of 700 nm has a frequency of 4.29 x 1014 Hz and an energy of 2.84 x 10-19 J or 171 kJ per mole of photons (note that Avogadro's number is 6.02 1023 mol1).
How often does 700 occur?A significant portion of the spectrum that is available for both commercial wireless and public safety communications is the 700 MHz Band. The Band, which spans 108 megahertz of spectrum from 698 to 806 MHz, was created as a result of the switch to digital television.
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A computerized spin balance machine rotates a 25-inch-diameter tire at 430 revolutions per minute.
(a) Find the road speed (in miles per hour) at which the tire is being balanced. (Round your answer to two decimal places.)
Diameter D = 25 inch
Radius r= D/2 = 25/2 = 12.5 inch
"1 ft = 12 inch and 1 mile = 5280 feet". R = 12.5×(1/12)×(1/5280) mile
Revolution n =430 rev./minute , n=430 × 60 rev./hour
Angular speed=2 × pi × n =2 × pi × n radian per hour =2 × pi × 430 × 60
a) Road speed = r × angular speed
Road speed = 12.5 × (1/12) × (1/5280) × (2 × pi × 430 × 60)
Road speed = 31.98 miles per hour
What is a revolution?
A revolution is a radical transfer in the founded order, often the founded government and social institutions.
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The ______ model develops knowledge to observe, analyze, and critique physical activity and sport issues and topics in a variety of contexts.
The Cultural Studies model develops knowledge to observe, analyze, and critique physical activity and sports issues and topics in a variety of contexts.
Cultural Studies:
The science of comprehending contemporary society, with a focus on politics and power, is known as cultural studies. It is an all-encompassing phrase that is used to discuss a variety of topics, such as media studies like journalism and film, sociology, industrial culture, globalization, and social theory. By pursuing this field, one is attempting to unravel the human condition.
Students who want to work in the media or politics find this profession to be quite popular due to the variety of disciplines it offers. Understanding culture in connection to power is one of the goals of science. It examines the varied social and political systems found in many nations as well as how they relate to one another and the rest of the world.
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the output of the supply must be electrically isolated from the source and must contain some type of switching converter. the system is to use a feedback control to maintain proper output voltage throughout the full range of input voltages and frequencies.
The supply's output must have some sort of switching converter and must be electrically insulated from the source. Throughout the whole range of input voltages and frequencies, the system is to apply a feedback control to ensure proper output voltage.
Voltage, also referred to as electric tension, electric pressure, or (electric) potential difference, is the difference in electric potential between two places. It is equivalent to the labor required to transfer a test charge between two places in a static electric field. The derived unit for voltage in the metric system is referred to as a volt. One volt equals one joule (of work) for one coulomb, which is how to work per unit charge is defined in SI units (of charge). Power and current were employed in the earlier SI definition for the volt; starting in 1990, the quantum Hall and Josephson effect was applied; and most recently (as of 2019), fundamental physical constants were added to the definitions of all SI units and their derivative units.
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A hopper jumps straight up to a height of 1.3 m. With what velocity did he leave the floor
The velocity with which the jumper leaves the floor is 5.1 m/s.
What is the initial velocity of the jumper?
The initial velocity of the jumper or the velocity with which the jumper leaves the floor is calculated by applying the principle of conservation of energy as shown below.
Kinetic energy of the jumper at the floor = Potential energy of the jumper at the maximum height
¹/₂mv² = mgh
v² = 2gh
v = √2gh
where;
v is the initial velocity of the jumper on the floorh is the maximum height reached by the jumperg is acceleration due to gravityv = √(2 x 9.8 x 1.3)
v = 5.1 m/s
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The non-reflective coating in eyeglasses is based on:
A. total internal reflection
B. destructive interference
C. resonance
D. constructive interference.
The non-reflective coating in eyeglasses is based on: destructive interference. So, option (B) is correct.
What is destructive interference?When waves combine and totally cancel each other out, destructive interference occurs. Two waves must have the same amplitude travelling in opposing directions in order to interfere destructively.
Nature is home to a variety of fascinating wave phenomena that are not reducible to a single wave. We must look at the phenomenon of destructive interference based on the wave combination. We use the superposition principle, which states the following, to examine these:
The resulting wave function is the algebraic sum of the individual wave functions when two or more waves are passing through a medium.
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A mass oscillates on a spring with a period T and an amplitude 0.48 cm. The mass is at the equilibrium position x = 0 at t = 0, and is moving in the positive direction. Where is the mass at the times (a) t = T/8, (b) t = T/4, (c) t = T/2 and (d) t = 3T/4? (e) Plot your results for parts (a)through (d) with the vertical axis representing position and the horizontal axis representing time.
On a spring, mass oscillates with an amplitude and a time T. at T=3t/4 the mass will be at 0.48cm away from its mean postion.
What is SHM?Simple harmonic motion is described as the periodic motion of a point across a single direction with an acceleration that is always toward a fixed point in that lines and a distance from that point that is proportional to that acceleration.
Briefing:Mass at the time t = 3T/4
Given T=T, A=0.48cm
φ = -π/2 , x=0, t=0
ω = 2π/T
The position of SHM is given by:
x(t) = Acos(ωt+φ)
x(3T/4) = 0.48cos((2π/T)(3T/4)+(-π/2))
x = 0.48cos(π) = -0.48
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Each metal is illuminated with 400 nm (3.10 eV) light. Rank the metals on the basis of the maximum kinetic energy of the emitted electrons. (If no electrons are emitted from a metal, the maximum kinetic energy is zero, so rank that metal as smallest.) Rank from largest to smallest. To rank items as equivalent, overlap them. The correct ranking cannot be determined.
The metals on the basis of the maximum kinetic energy of the emitted electrons is Cesium > potasium > Beryllium = aluminum = Megnesium = Platinum.
From Einstein photo electic effect equation
E = 3.1 eV
E = Wo+ Kmax
Kmax = E - Wo
For Be: E< Wo, Kmax = 0
There is no emission of photo electron
For K : Kmax = 3.1 -2.3 = 0.8 eV
For Al : E< Wo, Kmax = 0
There is no emission of photo electron
For Mg: E< Wo, Kmax = 0
There is no emission of photo electron
For Cs: Kmax = 3.1 -2.1 = 1.0 eV
For Pt : E< Wo, Kmax = 0
There is no emission of photo electron
Cesium > potasium > Beryllium = aluminum = Megnesium = Platinum
Einstein photo electic effect:
Einstein said that energy is a beam of particles related to frequency according to Planck's formula. When this beam is directed at a metal, photons collide with atoms. If the photon frequency is high enough to knock off an electron, the collision will produce the photoelectric effect.
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A stick of length 2L and negligible mass has a point mass m affixed to each end. The stick is arranged so that it pivots in a horizontal plane about a frictionless vertical axis through its center. A spring of force constant k is connected to one of the masses. The system is in equilibrium when the spring and stick are perpendicular. The stick is displaced through a small angle theta. a) Determine the restoring torque when the stick is displaced from equilibrium through the small angle theta b) Determine the magnitude of the angular acceleration of the stick just after it has been released c) Write the differential equation whose solution gives the behavior of the system after it has been released d) Write the expression for the angular displacement theta of the stick as a function of time t after it has been released from rest
Answers:
a. τ = FLcos\Theta = FL = -kL2\Theta
b. a = -ke/2m
n
c. d2\Theta/dt2 = -k\Theta /2m
d. \Theta=\Theta0 cos (k/2m)1/2t
Please explain all the steps in arriving at the answers.
A stick of length 2L and negligible mass has a point mass m affixed to each end. The stick is arranged so that it pivots in a horizontal plane about a friction less vertical axis through its center, thus calculated values are:
(A) Torque (τ) = F × L cosθ
(B) α = - Kθ/2m
(C) d²θ/dt² = -Kθ/2m
(D) θ = cos ⁻¹ ( kθ t/2Lm)
What is torque?The term "torque" refers to the twisting force that an engine exerts as it works, and it expresses the rotating force. Everyday activities like turning a doorknob, opening a drink bottle, using a tool, or peddling a bicycle all involve torque.
(A)
General equation of torque (τ) will be product of force and perpendicular distance.
τ = F × (perpendicular distance)
In this case, restoring torque. Hence, force F we taken as restoring force, and the perpendicular distance x-axis is component of L.
or, τ = F × [tex]L_{x-axis}[/tex]
or, τ = F × L cosθ
(B)
Angular acceleration general equation is:
α = Δω/Δt
here, Δω = change in angular velocity.
Δt = change in time
As we know, acceleration = force/mass
now, angular acceleration = angular force / mass of body
so, α = - Kθ/2m
(C)
f(t) = α × (t²/2)
or, f(t) = - Kθ/2m × (t²/2)
or, f(t) = - Kθ t² / 4m
now differentiating with respect to t:
or, dθ/dt = -Kθ t/2m
differentiating again with respect to t:
d²θ/dt² = -Kθ/2m
(D)
The expression for angular displacement:
cos θ = adjacent side / opposite side
or, cos θ = adjacent side / 2L
or, θ = cos ⁻¹ ( kθ t/2Lm)
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Suppose you hear an echo 0.15 seconds after banging. How long
is the barn? (Remember the relationship between distance, time, and speed from sections on motion.)
If you hear an echo 0.15 seconds after banging, the barn is 25.725 m long.
What is echo?
An echo is a sound that results from the return of sound waves to the listener from a surface. It is the reflection of sound, which reaches the listener after the direct sound has passed.
Given data:
you hear an echo 0.15 seconds after banging.
we know that speed of sound in air is 343 m/s.
As in this time sound waves goes to the barn and returns back.
Hence, the barn is = 343×0.15/2 m long = 25.725 meter long.
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A cannon is mounted on a cart and carrying a cannonball. The total mass of the cart, cannon, and ball is M, and the cart is rolling with no friction at a velocity v in the positive x-direction as shown in the figure. The ball, of mass m, is fired with a velocity of Vball in the positive x-direction. What is the velocity of the cart (with cannon) after the ball is fired?
The velocity of the cart (with cannon) after the ball is fired is u₂ = Mv - mVb / ( M - m(ball) ).
option A is the correct answer.
What is the law of conservation of linear momentum?The law of conservation of linear momentum states that the sum of the initial momentum is equal to sum of the final momentum, provided that the system is Isolated.
Mathematically, the law of conservation of linear momentum is given as;
Pi = Pf
where;
Pi is the sum of the initial momentumPf is the sum of the final momentumm₁u₁ + m₂u₂ = v ( m₁ + m₂ )
where;
m₁ is the mass cannon ballu₁ is the final velocity of the cannon ballm₂ is the mass of the cartu₂ is the final velocity of the cartv is the initial velocity of the cannoncart-systemMass of the cannon ball + cart = M
mass of the cart only, m₂ = M - m(ball)
The final velocity of the cart is calculated as follows;
mVb + m₂u₂ = Mv
m₂u₂ = Mv - mVb
u₂ = Mv - mVb / m₂
u₂ = ( Mv - mVb ) / ( M - m(ball) )
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