Explanation Write the expression for the time difference in the round trip of cross stream paths. Δ t = 2 L c 1 − v 2 c 2 − 2 L c = 2 L c ( 1 − v 2 c 2 ) − 1 / 2 − 2 L c (1) Here, Δ t is the time difference in the round trip of cross stream paths, L is the length of interferometer, c is the velocity of light and v is the velocity. Neglect the higher order term in equation (1). Δ t = L c ( v c ) 2 (2) Conclusion: Substitute 11 m for L , 3 × 10 8 m / s for c and 2 × 10 − 15 s for Δ t in equation (2)

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Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience …

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2. In class, we discussed several different flow scenarios for which we can make enough assumptions to simplify the Navier-Stokes equations enough to solve them and obtain an exact solution. Consulting the cylindrical form of the Navier-Stokes equations copied below, please answer the following questions. др a 1 a + +0x- + +O₂ = Pgr + μl 18²v, 2 ave ²v₁] az2 + at or r de r Əz dr ar Vodvz др [18 + + +Or + +Vz = Pgz +fl at ar r 20 ôz ôz dr ave дов V,Ve ave +Or + + = pge at dr r 80 Əz + az2 a.) In class, we discussed how the Navier-Stokes equations are an embodiment of Newton's 2nd law, F = ma (where bolded terms are vectors). Name the 3 forces that we are considering in our analysis of fluid flow for this class. др a 10 1 ve 2 av 2200] + +μ or 42 30 b.) If we make the assumption that flow is "fully developed" in the z direction, which term(s) would go to zero? Write the term below, describe what the term means in simple language (i.e. do not simply state "it is the derivative of a with…

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Ch. 2 - Prob. 1Q Ch. 2 - Prob. 2Q Ch. 2 - Describe the situation of Figure 2.4 as it would...Ch. 2 - Does the Michelson–Morley experiment show that the...Ch. 2 - Suppose we made a pair of shears in which the...Ch. 2 - Light travels through water at a speed of about...Ch. 2 - Is it possible to have particles that travel at...Ch. 2 - How does relativity combine space and time...Ch. 2 - Einstein developed the relativity theory after...Ch. 2 - Explain in your own words the terms time dilation...

Ch. 2 - Does the Moon’s disk appear to be a different size...Ch. 2 - According to the time dilation effect, would the...Ch. 2 - Criticize the following argument. “Here is a way...Ch. 2 - Is it possible to synchronize clocks that are in...Ch. 2 - Suppose event A causes event B. To one observer,...Ch. 2 - Is mass a conserved quantity in classical physics?...Ch. 2 - “In special relativity, mass and energy are...Ch. 2 - Which is more massive, an object at low...Ch. 2 - Prob. 19Q Ch. 2 - Prob. 20Q Ch. 2 - You are piloting a small airplane in which you...Ch. 2 - A moving sidewalk 95 m in length carries...Ch. 2 - Prob. 3P Ch. 2 - Prob. 4P Ch. 2 - Prob. 5P Ch. 2 - An astronaut must journey to a distant planet,...Ch. 2 - The proper lifetime of a certain particle is 120.0...Ch. 2 - High-energy particles are observed in laboratories...Ch. 2 - Prob. 9P Ch. 2 - Two spaceships approach the Earth from opposite...Ch. 2 - Rocket A leaves a space station with a speed of...Ch. 2 - One of the strongest emission lines observed from...Ch. 2 - Prob. 13P Ch. 2 - Three rods are joined to form a 45–45–90 triangle,...Ch. 2 - In the Relativistic Heavy Ion Collider (an...Ch. 2 - Derive the Lorentz velocity transformations for ...Ch. 2 - Observer O fires a light beam in the y direction...Ch. 2 - A light bulb at point x in the frame of reference...Ch. 2 - A neutral K meson at rest decays into two π...Ch. 2 - A rod in the reference frame of observer O makes...Ch. 2 - Two events occur at locations separated by a...Ch. 2 - According to observer O, a blue flash occurs at xb...Ch. 2 - Suppose the speed of light were 1000 mi/h. You are...Ch. 2 - Suppose rocket traveler Amelia has a clock made on...Ch. 2 - Suppose Amelia traveled at a speed of 0.80c to a...Ch. 2 - Make a drawing similar to Figure 2.20 showing the...Ch. 2 - Two twins make a round-trip journey from Earth to...Ch. 2 - Agnes makes a round trip at a constant speed to a...Ch. 2 - (a) Using the relativistically correct final...Ch. 2 - Find the momentum, kinetic energy, and total...Ch. 2 - An electron is moving with a kinetic energy of...Ch. 2 - Prob. 32P Ch. 2 - Prob. 33P Ch. 2 - Prob. 34P Ch. 2 - Use Equations 2.32 and 2.36 to derive Equation...Ch. 2 - By carrying the binomial expansion one term...Ch. 2 - (a) According to observer O, a certain particle...Ch. 2 - An electron is moving at a speed of 0.85c. By how...Ch. 2 - Prob. 39P Ch. 2 - Find the kinetic energy of an electron moving at a...Ch. 2 - An electron and a proton are each accelerated...Ch. 2 - Prob. 42P Ch. 2 - A π meson of rest energy 139.6 MeV moving at a...Ch. 2 - An electron and a positron (an antielectron) make...Ch. 2 - It is desired to create a particle of mass 9460...Ch. 2 - A particle of rest energy mc2 is moving with speed...Ch. 2 - Let’s consider a different approach to Example...Ch. 2 - In the muon decay experiment discussed in Section...Ch. 2 - Derive the relativistic expression p2/2K = m +...Ch. 2 - Suppose we want to send an astronaut on a round...Ch. 2 - Prob. 52P Ch. 2 - Observer O sees a red flash of light at the origin...Ch. 2 - Several spacecraft leave a space station at the...Ch. 2 - Observer O sees a light turn on at x = 524 m when...Ch. 2 - Suppose an observer O measures a particle of mass...Ch. 2 - Prob. 59P Ch. 2 - A beam of 2.14 × 1011 electrons/s moving at a...Ch. 2 - An electron moving at a speed of vi = 0.960c in...Ch. 2 - A pion has a rest energy of 135 MeV. It decays...Ch. 2 - Prob. 63P

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