For waves in shallow water the phase velocity is about equal to the group velocity. What is the dependence of the phase velocity on the wavelength?

Q: A man of mass M=70 kg standing on ice kicks a rock of mass m = 1 kg giving it a velocity vmek =5 m/s...

A: Solution:   Given Values, Mass of man(M)=70 KgMass ofrock (m)=1 Kgvelcocity of rock(vrock)=5 m/s 

Q: In the positive x direction, a plane EM wave varies sinusoidally at 99 MHz and the peak value of the...

A: Wavelength of the wave λ=cf=3×108 m/s99 MHz1 MHz106 Hz=3.03 m

Q: Starting from a pillar, you run 200 m east (the +x-direction) at an average speed of 5.0 m>s and ...

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Q: An object undergoes simple harmonic motion of amplitude Aand angular frequency v about the equilibri...

A: The formula to calculate the initial energy of the object is, Ei=Ki+Ui Here, Ei is the initial energ...

Q: In the experiment by Jönsson, 50-keV electrons impinged on slits of width 500 nm separated by a dist...

A: Given: The voltage applied on slits isV=50 keV. The width of slit is x=500 nm. The distance between...

Q: A block of mass m is on a frictionless track, initially at a height h above the ground. The block sl...

A: Using conservation of energy of the first block ∆K=-∆Um2u2-0=mghu=2gh Using conservation of momentum...

Q: A 12-pack of Omni-Cola (mass 4.30 kg) is initially at rest on a horizontal floor. It is then pushed ...

A: Part (a) Given: The mass of pack is m=4.30 kg. The distance covered by pack is d=1.20 m. The horizo...

Q: Two large blocks of wood are sliding toward each other on the frictionless surface of a frozen pond....

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Q: Jonathan and Jane are sitting in a sleigh that is at rest on frictionless ice. Jonathan’s weight is ...

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Q: Please very soon full explanation all parts a, b,c

A: Given: The mass attached to spring is m=2 kg. The distance stretched by spring is x=20 cm. The addi...

Q: NA block of metal of mass 0.250 kg is heated to 150.0°C and dropped in a copper calorimeter of mass ...

A: Under thermal equilibrium, heat energy remains conserved. Therefore  Heat gained by one material  = ...

Q: A hockey puck of mass 4m has been rigged to explode, as part of a practical joke. Initially the puck...

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Q: a. A patient's chest is exposed to X-rays, and the X-rays passing through the patient are recorded o...

A: The wavelength of X-rays used for chest radiology is 0.5 A°. Then the energy of the X-ray photon is ...

Q: Apparently, Felix chose this tower as his testing location due to a strangely soft and cushiony rock...

A: Considering motion in vertical direction  , taking upward positive Given initial height yi = 10 m fi...

Q: An electron confined in a box of width 0.360nm makes a transition from the n = 1 to n = 4 level by a...

A: hcλ=E4-E1=h28mL2n2f-n2iλ=8mL2chn2f-n2i

Q: To separate a 0.21 C charge from another charge, 20 J of work is done. What is the electric potentia...

A: GIven: The value of the charge is 0.21 C. The amount of the work done is 20 J. Introduction: Electri...

Q: Two skaters collide and grab on to each other on frictionless ice. One of them, of mass 70.0 kg, is ...

A:  Since the two skaters skate on frictionless ice, then there is no external net force on the horizon...

Q: A parallel-plate capacitor is made of two plane circular plates separated by d cm of air. When a par...

A: Given: The thickness between the plates of the capacitor d = d cm. The thickness of the glass diele...

Q: Superman throws a 2400 N boulder at an adversary. What horizontalforce must Superman apply to the bo...

A: The weight of the boulder is W = mg Here, m is the mass of the boulder, g is the acceleration due to...

Q: A 475 nm wavelength spectral line is actually a doublet, 0.0043 nm separation. (a) What is the small...

A: Given information: The wavelength of the spectral line, λ=475 nm=475×10-9 m The separation between t...

Q: You’re pushing horizontally on a large crate, but it won’t budge. According to Newton’s third law, t...

A: According to Newton's third law, every action has a equal and opposite reaction. Initially, when you...

Q: 12) Draw a labelled free body diagram: A rightward constant force is applied to a book to move it ac...

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Q: please show all work

A: Given:     mass, m = 20 kg    distance travelled, S = 20 m

Q: The mass of the charged pion is 140 MeV/c2. Determine the range of the nuclear force if the pion is ...

A: Given: The mass of the charged pion is m=140 MeV/c2. The expression for the range R of nuclear for...

Q: At a recording station, a difference in time of arrival between p waves and s waves was observed to ...

A: The speed of the particle is given by Where S = distance covered, t = time taken

Q: Hi,  I am having trouble with two physics questions.  The answer I got for Q5 was '100%' but I am no...

A: Given:    Volume = 100 m3    Relative humidity (RH) at 20oC as 55%                   RH(at 20°C) = P...

Q: A loaded elevator with very worn cables has a total mass of2200 kg, and the cables can withstand a m...

A: The vector force diagram -

Q: 1. a) Show that if the pressure drop remains Constant, reduction of the Radius of the arteriole from...

A: According to Poiseuille's law P1- P2 = 8QηLπR4 where Q is flow of liquid ,R is radius of tube, L is ...

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Q: A block of mass m and a block of mass 3m are used to sandwich a massless spring with spring constant...

A: Given masses of blocks are  m and 3m Let vm is the velocity of mass m and v3m is the velocity of mas...

Q: If quantum mechanics replaces the language of Newtonian mechanics, why don’t we have to use wave fun...

A: Given: If quantum mechanics replace the language of Newtonian mechanics, We need to explain why don'...

Q: Mud particles are released from the edge of a wheel of radius b moving on the ground. If the forward...

A: Given: The radius of the wheel is b. The forward wheel speed is v0. Introduction: A projectile is an...

Q: Frick's law

A: Frick's law states that the diffusion of particles from the higher concentration region to a lower c...

Q: A hydrogen atom in an excited state emits a photon of wavelength 95 nm. What are the initial and fi n...

A: Given A hydrogen atom in an excited state emits a photon of wavelength 95 nm. What are the initial a...

Q: 15. Two boxes are placed on a horizontal frictionless surface, as shown above. Box A has a mass of 1...

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Q: *PLEASE ANSWER QUESTIONS #7* Make a sketch of the trajectory of a ball after it has been thrown. Dr...

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Q: A fountain of water is located at the center of a circular pool as seen in figure. Randy Marsh (fath...

A: Using trigonometry tanθ=hrh=rtanθh=C2πtanθ

Q: s seen in Figure 1, a 63.2 kg glacier climber finds herself dangling over theedge of an ice cliff. F...

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Q: A 76.0 kg rock is rolling horizontally at the top of a vertical cliff that is 20 m above the surface...

A: (a) According to kinematics equation, s=ut+12at2 Use the given values, 20=0+0.5×9.8t2t=2.02 s To tra...

Q: Help ASAP

A: Given: The mass attached to a spring is m=2 kg. The stiffness of spring is k=90 N/m. The damping co...