The Hamiltonian of massless rod which has a point paricle at one of its ends, is Acos(ω0 t) + Bsin(ω0 t).
How to find Hamiltonian ?The Hamiltonian of a system in quantum mechanics is an operator that corresponds to the system's total energy, which includes both kinetic energy and potential energy.
It may be demonstrated that H = T + V, where T is the kinetic energy and V is the potential energy of the system—i.e., the Hamiltonian is equal to the total energy of the system—if the constraints in the issue do not depend explicitly on time.
Choose a coordinate system such that kˆ is pointing upwards
then the angular acceleration is given by
α = d^2 *θ /dt^2 * k
The torque about the center of mass is given in the statement of the problem as a restoring torque, therefore
τcm = −bθ kˆ .
The z-component of the rotational equation of motion is
−bθ = Icm * d^2 *θ / dt^2 .
This is a simple harmonic oscillator equation with solution is
θ(t) = Acos(ω0 t) + Bsin(ω0 t)
To learn more about Hamiltonian refer :
https://brainly.com/question/14946452
#SPJ4
if the human body has an average density of 989 kg/m3 , what fraction of a person is submerged when floating gently in fresh water?submerged fraction:what fraction of a person is submerged when floating gently in salt water, which has a density of 1027 kg/m3 ?submerged fraction:question credit: openstax college physics
The submerged fraction of a person when floating gently in fresh water is 0.989. The fraction of a person is submerged when floating gently in salt water with a density of 1027 kg/m³ is 0.963
fs = ρo / ρf
fs = Submerged fraction
ρo = Density of object
ρf = Density of fluid.
a ) For fresh water,
ρo = ρp = 989 kg / m³
ρf = ρw = 1000 kg / m³
fs = 989 / 1000
fs = 0.989
b ) For salt water,
ρo = ρp = 989 kg / m³
ρf = ρs = 1027 kg / m³
fs = 989 / 1027
fs = 0.963
Therefore,
a ) In fresh water, the submerged fraction is 0.989
b ) In salt water, the submerged fraction is 0.963
To know more about submerged fraction
https://brainly.com/question/12945895
#SPJ4
explain how your observation of the experiment either agreed with galileo or led you to a different conclusion. answer with three to five complete sentences and use proper grammar and mechanics.
My experiment disagreed with Galileo because Galileo's explanation for the tides was incorrect; the hypothesis that Earth orbits the Sun is right.
What part of Galileo's theory is incorrect?Galileo discovered evidence in 1595 that he believed supported the idea that Earth orbits the Sun. Galileo believed that the irregular motion of Earth around the Sun was the primary cause of the tides. Galileo's explanation for the tides was incorrect, even though the idea that Earth orbits the Sun is true.
Galileo presents his three top justifications for his contention that the earth revolves around the sun. One of these is his claim that "the ebbing and flowing of the ocean tides" supports his position.
There are high and low tides. Galileo thought that the earth's rotation was what created the tides. One of his absolute worst theories is this one.
The sun and moon's actions cause "the ebb and flow of the sea," as we now understand. That is the correct explanation for the tides, as stated by Newton. They result from gravitational forces, as Newton demonstrated.
To learn more about Galileo refer :
https://brainly.com/question/1419026
#SPJ4
If a girl is sitting on box and the girl weighs 10kg and the box weighs 50 kg, how much force will be
needed to accelerate the box 5 m/s2? If the same force is used, what will the acceleration be if the girl hops off the box?
If a girl is sitting on box and the girl weighs 10kg and the box weighs 50 kg, 30.61 N force will be needed to accelerate the box 5 m/s2
Total weight = 10 + 50 = 60 kg
weight = mg
60 = m * 9.8
m = 6.122 kg
Force = ?
acceleration = 5 [tex]m/s^{2}[/tex]
Force = mass * acceleration
= 6.122 * 5 = 30.61 N
To learn more about force here :
https://brainly.com/question/7362815
#SPJ1
according to the theory that active galactic nuclei are powered by supermassive black holes, the high luminosity of an active galactic nucleus primarily consists of .
According to the idea behind active galactic nuclei, heated plasma in an accretion disc that revolves around the black hole is principally responsible for the active galactic nucleus' high luminosity.
An active galactic nucleus (AGN) is a compact area at the Centre of a galaxy that exhibits features that indicate the luminosity is not coming from stars and is substantially brighter than usual over at least some of the electromagnetic spectrum. Is called active galactic nucleus.
A light-emitting object's radiant power, which is measured in absolute terms as luminosity, is the electromagnetic power that it radiates out over time. The total quantity of electromagnetic energy released by a star, galaxy, or other celestial object in a given amount of time is measured as luminosity in astronomy.
Learn more about galactic nucleus here
https://brainly.com/question/17135219
#SPJ4
a motorcycle has a constant speed of 25.0 m/s as it passes over the top of a hill whose radius of curvature is 126 m. the mass of the motorcycle and driver is 342 kg. find the magnitudes of (a) the centripetal force and (b) the normal force that acts on the cycle.
The centripetal force on the motorcycle at the top of the hill is 1696.42 N and the normal force is 1723.57 N.
The speed of the motorcycle is 25 m/s and the mass of the motorcycle is 342 kg and the radius of curvature of the hill is 126m.
(a) The centripetal force on any curvature is given by,
F =MV²/R
Where,
F is the centripetal force,
M is the mass of the motorcycle,
R is the radius of curvature of the hill,
V is the speed at which it is travelling.
Putting all the values,
F = 342 x 25 x 25/126
F = 1696.42 N.
The centripetal force is 1696.42 N.
(b) At the top of the hill, the centripetal force and the normal force will be away from the ground and in opposite direction of the weight of the motorcycle,
N = W- F
W is the weight,
F is centripetal force and N is the normal force.
Putting values,
N = 3420 - 1696.42
N = 1723.57N.
The normal force is 1723.57 N.
To know more about Centripetal force, visit,
https://brainly.com/question/20905151
#SPJ4
a lighthouse is located on a small island 5 km away from the nearest point p on a straight shoreline and its light makes eight revolutions per minute. how fast (in km/min) is the beam of light moving along the shoreline when it is 1 km from p? (round your answer to one decimal place.)
The movement of the beam of light is an illustration of distance and rates
The beam of light along the shoreline is moving at 261.5 km per minute when it is 1 km from P
What is rate of change of distance?The ratio of the distance traveled to the time required is used to compute average speed, which is the rate at which distance changes in relation to time.
[tex]\frac{d\theta}{dt}[/tex] = 8 rev min⁻¹ = 16 [tex]\pi[/tex] rad min⁻¹
tan [tex]\theta[/tex] = [tex]\frac{x}{5}[/tex]
Differentiate both sides with respect to t
[tex]sec^2 (\theta) \frac{d\theta}{dt} = \frac{1}{5} \frac{dx}{dt}[/tex]
[tex]\frac{d\theta}{dt}[/tex] = 16 [tex]\pi[/tex]
Then,
[tex]\frac{dx}{dt}[/tex] = [tex]sec^2 (\theta) X 80\pi[/tex]
From the question, x = 1. calculate the hypotenuse (h) side of the triangle, using the following Pythagoras theorem.
[tex]h^2 = 1+ 5^2\\[/tex]
h =[tex]\sqrt{26}[/tex]
sec ([tex]\theta[/tex]) = [tex]\frac{\sqrt{26} }{5}[/tex]
Substitute sec ([tex]\theta[/tex]) = [tex]\frac{\sqrt{26} }{5}[/tex] in [tex]\frac{dx}{dt}[/tex] = [tex]sec^2 (\theta) X 80\pi[/tex].
[tex]\frac{dx}{dt} = (\frac{\sqrt{26} }{5} )^2 . 80\pi[/tex]
= 83.2 [tex]\pi[/tex] = 261.48
Hence, the beam of light along the shoreline is moving at 261.5 km per minute when it is 1 km from P.
To learn more about Distance refer,
https://brainly.com/question/15283898
#SPJ4
After energy conversions, you end up with the same total amount of energy as the original amount energy. Which law explains this rule?.
The law that explains it is called the law of conservation of energy.
What does the law mean?The law of conservation of energy states that in an isolated system, the total energy remains constant, i.e., the total energy is conserved over time. Therefore, the initial energy of an isolated system is equal to the final energy of the system. As a result, energy can neither be destroyed nor created. Energy can only be transferred or transformed from one from to another.
The law of conservation of energy can be mathematically expressed as K₁ + U₁ = K₂ + U₂ where K₁ is the initial kinetic energy, U₁ is the initial potential energy, K₂ is the final kinetic energy and U₂ is the final potential energy.
Learn more about the law of conservation of energy here: https://brainly.com/question/27422874
#SPJ4
a subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large spring bumper at the end of its track. what is the force constant of the spring?
The force constant k of the spring is 781000 N/m
What is force?
Once applied, force is described as an external cause that alters or tends to modify the state of the body; if the body is in motion, it comes to rest, and if at rest, it comes to motion. It can also induce a shift in the body's direction, shape, or size. Pushing or pulling a door with force is an example.
Because force is a vector quantity, it has both magnitude and direction. Newton's second law defines force as the "product of a body's mass and acceleration."
In physics, a force is an effect that can change the velocity of an object. A force can cause a mass object's velocity to change (e.g., moving from rest), causing it to accelerate. Force can be thought of as either a push or a pull. Because it has both magnitude and direction, force is a vector quantity. It is measured in newtons, the SI mass unit (N). The letter F stands for force (formerly P).
In its original form, Newton's second law states that the net force acting on an object is equal to the rate at which its momentum varies with time.
Here,
let the force constant is k
Using conservation of energy
0.50 * 5 *10^5 * 0.50^2 = 0.50 * k * 0.40^2
solving for k
k = 781000 N/m
The force constant k of the spring is 781000 N/m
Learn more about force from given link
https://brainly.com/question/388851
#SPJ4
What is the relationship between generator and energy input
The relationship between the generator and the energy input is the fact that the generator uses mechanic energy as input to produce electricity.
What is an electrical generator device?An electrical generator device is any instrument capable of generating electrical activity using any source of energy as a source for such purpose, such as the movement (motion of mechanical energy) of a turbine.
Therefore, with this data, we can see that an electricity generator device is a given instrument used to generate electricity by exploiting the mechanical energy generated through a particular process.
Learn more about electrical generators here:
https://brainly.com/question/12475693
#SPJ1
For a mass on a spring simple harmonic oscillator, the maximum velocity occurs are the point where the spring is.
Position in equilibrium As the mass moves in the direction of x=+A, the greatest velocity occurs so at equilibrium position (x=0).
How do you figure out where equilibrium is?Q can be used to anticipate the direction of a reaction's equilibrium shift. In the event that K > Q, a reaction will proceed and transform reactants into products. If K Q, the reaction will go the other way and convert reactants into products. In the event where Q = K, the system
What occurs when you reach equilibrium?When all forces acting on a mechanical system are equal to zero, it is in equilibrium. Learn how to calculate the equilibrium position of such a mass oscillating on even a spring as well as the factors that influence it on this page.
To know more about equilibrium visit:
https://brainly.com/question/10374921
#SPJ4
the engine of a locomotive exerts a constant force of magnitude 6.5 105 n to accelerate a train to 60 km/h. determine the time taken for the train of mass 1.4 107 kg to reach this speed from rest.
The time taken for the train of mass 1.4 107 kg to reach the speed of 60 km/h is 362.39 seconds
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Calculation:-
mass of the train = 1.4 × 10⁷ kg
constant force F = 6.5 × 10⁵ N
Using Newton's second law
F = ma
a = F/m
= 6.5 × 10⁵ N /1.4 × 10⁷ kg
= 0.046 m/s²
This acceleration accelerates from
initial velocity u = 0
Final velocity v = 60 km/hr = 16.67 m/s
Using,
V = U + at
t = V - U/a
= 16.67 / 0.046
= 362.39 seconds
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
Learn more about acceleration here:- https://brainly.com/question/29110429
#SPJ4
in its daily prowl of the neighborhood, a cat makes a dis- placement of 120 m due north, followed by a 72-m displace- ment due west. (a) find the magnitude and direction of the dis- placement required for the cat to return home. (b) if, instead, the cat had first prowled 72 m west and then 120 m north, how would this affect the displacement needed to bring it home? explain.
To find a solution, we first know about magnitude and displacement.
What is magnitude?
Magnitude typically refers to size or distance. By comparing the size and movement speed of the object, we can relate magnitude to movement. The object's or quantity's size determines its magnitude.
What is displacement?
A one-dimensional quantity called displacement (symbolized as d or s), also known as length or distance, represents the separation between two specified points. The meter is the SI's (International System of Units) accepted displacement unit.
Given that the beginning displacement is 120 meters to the north, the ultimate displacement is 72 meters to the west.
R = (A2+B2)1/2 is the magnitude of the resulting vector A+B.
The angle formed with the west direction is = tan-1(A /B) when = 139.9428m.
(Southeast) = 59.03624 degrees (B) Instead, if the cat had first wandered 120 m north, then 72 m west.
Then the magnitude of the resulting quantity is the same as R, but the angle is different because of = tan-1(72m / 120m) = 30.96375degrees.
Therefore the magnitude is 139.9428m.
Learn more about Magnitude from the given link.
https://brainly.com/question/24256733
#SPJ4
Dear People Please Answer this questions
(1) When we whirl a stone round, What type of motion is executed ?
(2) Is the direction of the ball is same at every point?
(3)What are the factors that affect the change in direction?
(4)What causes for those changes?
please please please help me or I will get suspended !!!!!
I want expert to answer
1)
Circular Motion
2)
No; the direction changes.
3)
Velocity. Gravitational Pull. Force/Twist. Acceleration.
4)
The weight of the object, gravity pulling on it. The kinetic energy produced by you which caused acceleration in a certain vector direction. Location of the object.
what is the total number of electrons transported from the positive electrode to the negative electrode by the charge escalator from the time the battery is first used until it is completely dead?
The number of electrons transported is 8.1 x 10²² electrons.
The variety of electrons in a neutral atom is identical to the number of protons. The mass wide variety of the atom is the same as the sum of the range of protons and neutrons inside the nucleus. The number of neutrons is equal to the difference between the mass number of the atom and the atomic wide variety. The reduction half-response includes a -electron gain.
The LCM is consequently 6. The net equation is a six-electron transfer. The wide variety of electrons in an atom is identical to the atomic quantity of an element for neutrally charged species. this means the number of electrons and the number of protons in an element are identical. consequently, the variety of electrons in oxygen is 8. Ionic bonds are shaped among or extra atoms by using the switch of one or extra electrons among atoms.
Learn more about Electrons here:-https://brainly.com/question/860094
#SPJ4
A coin has a mass of 7.0g. It is made of a metal alloy of density 5.6g/cm cube. Calculate the volume of the coin.
Answer:
1.25 cm³
Explanation:
Datam = 7.0 g
d = 5.6 g/cm³
v = ?
CalculationUsing,
[tex] d \: = \frac{m}{v} [/tex]
[tex]v = \frac{m}{d} [/tex]
[tex]v = \frac{7}{5.6} [/tex]
[tex]v = 1.25 \: c {m}^{3} [/tex]
you hear a loud noise at 900 hz and look up to see a bird diving toward you. you are able to identify the type of bird and you know that they usually make noise at around 800 hz. how fast is the bird moving?
When you hear a loud sounds at 900 Hz and look up to see a bird diving frequency you, the bird is moving at a speed of 38.12 meter's per second (m/s). Knowing the species of bird and that their frequency.
When this frequency range is overused, the result might be honky or nasal. The teacher from the Charlie B. series serves as this range's audio guide.
Auditory identification of birds can be done by birders who are familiar with the various bird speed. A keen birder might start looking for nearby birds of prey after hearing an alarm cry, whereas someone who hears speed a begging call would start looking for a nest that is well-hidden.
f1=f(V+Vo/V-Vs)\s900/800=(343/343-Vs)
V=38.12 m/s
Learn more about speed here
https://brainly.com/question/13948890
#SPJ4
a transformer consists of two coils of wire wound on a common toroidal iron core. the mutual inductance of the pair is 184 mh and the current in the first coil decreases from 53 a to 0 in 1.4 s. what is the induced emf in the second coil? answer in units of v.
The second coil's induced emf is 13,652.8 V.Therefore, if current varying at a rate of 1 ampere/second in one coil produces an e.m.f. of 1 volt, two coils are said to have a mutual inductance of 1 henry.
Determine the induced emf.Therefore, if current varying at a rate of 1 ampere/second in one coil produces an e.m.f. of 1 volt, two coils are said to have a mutual inductance of 1 henry.
given,
I(t) = I₀ sin(ωt),
M = 184 H, I₀ = 1.4 A, ω = 53 rad/s.
a) magnitude of induced emf in terms of M and I
ε₂ = - M di/dt
The induced emf in the second coil is,
184 * 1.4 * 53 = 13,652.8 V.
To learn more about Indused emf refer to:
https://brainly.com/question/17329842
#SPJ4
The induced emf in the second coil is 13,652.8 V.
What is induced emf?When a bar magnet is moved into and out of the coil, an emf is produced in the coil. Motion in opposing directions generates emfs of the opposite signs, and reversing the poles likewise reverses the emfs. The relative motion is what matters; if the coil is moved instead of the magnet, the same effects are obtained. The induced emf is equal to (BA cos) = − d/dt. The magnetic field's strength might fluctuate over time. The area that the loop encloses is subject to vary throughout time. With time, the magnetic field's angle with the loop's normal can change.Therefore, if current varying at a rate of 1 ampere/second in one coil produces an e.m.f. of 1 volt, two coils are said to have a mutual inductance of 1 henry.
given,
I(t) = I₀ sin(ωt),
M = 184 H, I₀ = 1.4 A, ω = 53 rad/s.
a) magnitude of induced emf in terms of M and I
ε₂ = - M di/dt
The induced emf in the second coil is,
184 * 1.4 * 53 = 13,652.8 V.
To learn more about Indused emf refer to:
brainly.com/question/17329842
#SPJ4
Given newton’s first law of motion, what do we reasonably expect an object to do given the following scenarios?.
According to Newton’s first law of motion, we reasonably expect a stationary object will remain at rest or a moving object will have a uniform motion (have constant velocity) in a straight line.
Newton's first law of motion states, if there are no actions of an external force or forces, that are balanced, every object will remain at rest or in uniform motion in a straight line path. The formula ∑F = 0 with ∑F the external forces.
If an object is in a stationary condition, the object will remain at its rest.If an object is in motion, it will keep moving with a constant velocityThis law call law of inertia. Example
A boy sits on a chair, the weight force and the normal force from the chair keep the boy remain to sitting on the chair.A bus suddenly hit the brake, and people inside the bus will move slightly to the front and back, but they still sit on the chair.Learn more about Newton's first law here: https://brainly.com/question/10454047
#SPJ4
two forces whose resultant is 10N are perpendicular to each other. if one of them makes an angle of 60 with the resultant, calculate its magnitude
The magnitude of the resultant with respect to one of the vectors is [tex]10 \sqrt{3} \mathrm{~N}[/tex].
The resultant of two force is given by [tex]$F=\sqrt{A^2+B^2+2 A B \cos \theta}$[/tex] where, [tex]$A \& B$[/tex] are two vectors & [tex]$\theta$[/tex] is the angle between them.
Magnitude or resultant is [tex]$\sqrt{2 \times 10^2+2 \times 100 \cos 60^{\circ}}=10 \sqrt{3} \mathrm{~N}$[/tex].
A force is an influence in physics that can modify the velocity of an object. A force can cause a mass item to change its velocity, or accelerate. Intuitively, force can be described as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
The term "force" has a specific meaning in science. At this level, it is quite acceptable to refer to a force as a push or a pull. A force is not something that an object 'has in it.' Another object applies a force to another. The concept of a force is not limited to living or nonliving things.
To learn more about Magnitude visit:https://brainly.com/question/14452091
#SPJ9
Electromagnetic radiation consists of particles called , which exhibit both and particle behavior. The greater the momentum of a photon, the its wavelength.
Electromagnetic radiation consists of particles called photons, which exhibit both wavelike and particle-like behavior. The greater the momentum of a photon, the longer its wavelength.
What is electromagnetic radiation and what are photons?Electromagnetic radiation (or EM radiation) is energy that is transmitted through oscillating electric and magnetic fields at the speed of light. Electromagnetic radiation contains neither mass nor charge, but it travels in packets of radiant energy called photons. Electromagnetic waves carry energy and transfer it upon interaction with matter.
Electromagnetic radiation can take many forms, such as microwaves, infrared light, visible light, UV light, X-rays and the like.
Learn more about photons here: https://brainly.com/question/15946945
#SPJ4
A 0.90-kg block initially at rest on a frictionless, horizontal surface is acted upon by a force of 3.0 n for a distance of 3.0 m. how much farther would the force have to act for the block to have 56 j of kinetic energy?
The force would have to work on the block till a distance of 15.66m farther to have 56 joules of kinetic energy.
The work done is given by the product of the force applied and the distance covered along the direction of force.
So we can write,
W = F.s
Where w is the work done if is the force and S is the distance covered.
According to work energy theorem, the work done is equal to the change in kinetic energy.
The force applied in this case is 3 Newton and the body has no till a distance of 3m. Let us assume that the block is moved till a distance x in order to achieve a kinetic energy of 56 joules.
So, it can be written,
3(3+x) = 56
Solving,
9+3x = 56
3x = 47
x = 15.66 m.
So, it is required to move the body by a distance of 15.66 m.
To know more about kinetic energy, visit,
https://brainly.com/question/25959744
#SPJ4
2.10-kg block of wood is attached to a spring with a spring constant of 150 n/m. the block is free to slide on a horizontal frictionless surface once the spring is stretched and released. a 1.00-kg block of wood rests on top of the first block. the coefficient of static friction between the two blocks of wood is 0.450. what is the maximum speed that this
Knowing the kinetic static force coefficient.
What is oscillation ?
Oscillation is the process by which a quantity or measure varies in time around its equilibrium value. Another definition of oscillation is the periodic variation of a substance between two values or around its central value.
What is kinetic force?
A force that acts between moving surfaces is referred to as "kinetic friction." A force acting in opposition to the direction of a moving body on the surface is felt. The two materials' coefficients of kinetic friction will determine how much force is applied.
For both blocks to oscillate together w^2=K/((M+M))
Maximum accelartion =a_(n= w^2 ) A= K/((M+M))A
For ⏊ kg block, μmg = 〖ma〗(n= ) μg
μg =K/((M+M))A
= 0.45×9.8 = 150/((2.1+1)) A
A=0.0914m
Max speed, vm=wA= √(k/(M+M)) A
=√(150/((2.1+1))) × 0.0914
= v(m=) 0.636 m/s
Therefore, the maximum speed is 0.636 m/s.
Learn more about oscillation from the given link.
https://brainly.com/question/12622728
#SPJ4
what physical quantities do you need to measure to determine the electric power produced by a battery/power supply? what equation will you use?
Electrical power (P) can be defined as the sum of these two numbers if voltage (V) equals Joules per Coulombs (J/C) and amperes (I) = charge (coulombs) per second (A = Q/t). This is due to the fact that electrical power can also be expressed as P = V*I, or voltage times amperes.
Electric Power can be explained as:
Electric power is the rate at which electrical energy moves across an electric circuit. The SI unit of power is the watt, or one joule per second. The suffixes used to represent thousands, millions, and billions of watts are kilowatts, megawatts, and gigawatts, respectively. Watts are subject to the same standard suffixes as other SI units.
A power law is an equation in which, regardless of the initial sizes of the two values, a relative change in one quantity results in a corresponding relative change in the other.
The Equation:
Here, it is explained that Power equals Current times Voltage (P=VxI), Current equals Power divided by Voltage (I=P/V), and Voltage equals Power divided by Current (V=P/I).
To know more about electric power, click on the link below:
https://brainly.com/question/12371501
#SPJ4
what is the acceleration of the earth due to jupiter's gravitational attraction at their average separation?
acceleration of the earth due to jupiter's gravitational attraction at their average separation Is 246590.053 metre/sec²
what is acceleration due to gravity?Acceleration due to gravity is the acceleration gained by an object due to gravitational force. Its SI unit is m/s 2. It has both magnitude and direction, hence, it’s a vector quantity. Acceleration due to gravity is represented by g.
Enter the mass, radius and “x” for the unknown value in the respective input field
Now click the button “Calculate the Unknown” to get the acceleration due to gravity
Finally, the gravitational acceleration will be displayed in the output field.
learn more about acceleration :https://brainly.com/question/12792214
#SPJ4
A 263 kg crate slides 3.2 m until coming to a stop after being pushed by a large man. The effective coefficient of kinetic friction between the crate and the surface is 0.13. Calculate the work done by friction .
WORK OUT AND USE UNITS
The work done by friction when a crate of 263 kg slides 3.2 m is 1072.2 J.
What is friction?Friction is the force that opposes the motion of two bodies in contact.
To calculate the work done by friction, we use the formula below.
Formula:
W = mgdμ............ Equation 1Where:
W = Work done by frictionm = Mass of the crateg = Acceleration due to gravityd = Distance traveled by the crateμ = Coefficient of kinetic frictionFrom the question,
Given:
m = 263 kgh = 3.2 mg = 9.8 m/s²μ = 0.13Substitute these values into equation 1
W = (263×3.2×9.8×0.13)W = 1072.2 JHence, the work done by friction is 1072.2 J.
Learn more about friction here: https://brainly.com/question/23161460
#SPJ1
in which direction should he proceed in order to decrease the temperature most rapidly? how do you know? b. if the ship travels at e 8 meters per second, how fast will the temperature decrease if he proceeds in that direction?
a) in the z direction he should proceed in order to decrease the temperature most rapidly
b) The temperature decrease in the rate of −2√14e2 if he proceeds in that direction.
Taking the gradient of TT yields ∇T(x,y,z)=⟨−2xe(−x2−2y2−3z2),−4ye(−x2−2y2−3z2),−6ze(−x2−2y2−3z2)⟩, where we get the direction of maximum increase of any point (x,y,z). As we're at (1,1,1) so the appropriate vector in order for the maximum decrease is
−∇T(1,1,1)=⟨2e6,4e6,6e6⟩≈⟨0.0049575,0.00991501,0.0148725⟩
we normalize the upper result giving us :
⃗ =−∇T(1,1,1)∥−∇T(1,1,1)∥=⟨−1/√14,−√2/7, −3/√14⟩, here we are getting the direction of and along with an angle
Now, if r(t) is a parametrized path, then d/dtT(r(t))= change in T(r(t)).r ′(t)), in order for heading to the direction of maximum decrease, so UV =∥u∥ ∥v∥cosθ in here θ=0. So, the rate of decrease is ∥∇T(1,1,1)∥e8=2/√14e2 or -2/√14e2
To know more about temperature refer to the link https://brainly.com/question/11464844?referrer=searchResults.
#SPJ4
The temperature of the ship's hull when he is at location (x,y,z) will be given by T(x,y,z)=e−x2−2y2−3z2, where x,y, and z is measured in meters. He is currently at (1,1,1).
(A) In what direction should he proceed in order to decrease the temperature most rapidly?
(B) If the ship travels at e8 meters per second, how fast will the temperature decrease if he proceeds in that direction?
Can a spectrophotometer be used to measure the absorption of a particular wavelength of light that is not visible to the human eye?.
Yes, a spectrophotometer could be used to measure the absorption of a particular wavelength of light that is not visible to a normal human eye.
Although we cannot directly observe the absorption of this light, it is quantifiable. A spectrophotometer, which measures the absorption of light at certain wavelengths (whether visible or not) by a solution, may be used to compute the concentration. The popular and accessible technique of spectrophotometry may be used to determine the concentration of compounds in a solution or the degree of light absorption.
When a light beam is focused through the sample, each component either absorbs or transmits light of a certain wavelength. They are combined with quantifiable and visible colored byproducts. Another is that, as observed by a spectrophotometer, colorless substances generally absorb light from the region of the spectrum that is imperceptible to the human eye.
Learn to know more about Spectrophotometer on
brainly.com/question/24864511
#SPJ4
if a wave train (group of swell) in the open ocean has an average wavelength (l) of approximately 140 meters and a period (t) of 10 seconds, what is the celerity of these waves?
The celerity of a wave train (group of swell) in the open ocean is 14 meter per second.
oceanography :
The study of all aspects of the ocean is known as oceanography. Oceanography includes a wide range of topics, including marine life and ecosystems, currents and waves, sediment movement, and seafloor geology.average wavelength of open ocean, l = 140 meters
time period, t = 10 seconds
speed of the train is calculated as :
140/10 = 14m/s
speed of train = 14m/s
The celerity of a wave train (group of swell) in the open ocean is 14 meter per second.
To know more about wavelength
https://brainly.com/question/13533093
#SPJ4
a student suspends a 0.3 kg mass from an ideal spring and measures the equilibrium displacement of the spring to be 5.5 cm. calculate the spring constant.
The value of the spring constant of the ideal spring is 106.9 N/m.
The mass suspended by the student is 0.3 kg from the ideal soring and the equilibrium displacement is 5.5 cm or 0.055 cm.
The work done by the gravity will be equal to the work done by the spring,
Mgx = 1/2Kx²
Where,
x is the equilibrium displacement,
K is the spring constant,
M is the mass,
g is acceleration due to gravity,
Putting values,
0.3 x 9.8 x 0.055 = 0.5 x K x 0.055 x 0.055
K = 106.9 N/m.
The spring constant is 106.9 N/m.
To know more about spring constant ,visit,
https://brainly.com/question/29291341
#SPJ4
what is a wavelength? a. The distance from the crest to its neighboring trough in a ways. b. The number of ways in a given period of time. c. The distance between two neighboring troughs in a wave. d. The direction of the wave
Wavelength is (c) the distance between two neighboring troughs in a wave.
What is wavelength?Wavelength is the separation between identical points (adjacent crests) in successive cycles of a waveform signal travelling through space or over a wire. Si unit of wavelength is meter. In wave motion, velocity of wave = wave length × frequency.
Hence, wavelength is a distance between two neighboring identical points such as troughs of a wave. so, option (c) is current answer.
Learn more about wavelength here:
https://brainly.com/question/13533093
#SPJ1