A physics professor claims in court that the reason he went through the red light (λ = 650 nm) was that, due to his motion, the red color was Doppler shifted to green (λ = 550 nm). How fast was he going?
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A: we know frequency of the light will not change We use cλ10=vλ1
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- Solve, with no calculus.. A) How fast would a motorist have to travel for a yellow traffic light (λ = 590. nm) to appear green (λ =500. nm) to him due to the Doppler shift? B) Would the motorist be traveling towards or away from the traffic light?George is in a spaceship, speeding away from planet Earth at , where is the speed of light in a vacuum. Anna is on George's ground crew, and she sends out a communication signal to George. Since Anna's communication signal is a radio wave, it is electromagnetic and travels at a speed of relative to Anna. From George's perspective, Anna's signal is approaching him at a speed of? c 0.5c 2c 0
- As shown in the figure, a stationary mirror is mounted in a reference frame S and a space shuttle moves toward the mirror at a speed v = 0.590c relative to the reference frame S. The instant the shuttle is a distance d = 5.00 × 10¹0 m from the mirror (as measured by an observer in S), it emits a light pulse that travels to the mirror and is reflected back to the shuttle. Determine the total travel time (in s) for the light pulse as seen by the following. (a) an observer in the S reference frame S (b) an observer on the shuttle S What If? If the light beam has an initial wavelength of 530 nm, determine the shift (in nm) in the wavelength of the light beam as measured by the following (use + for an increase and decrease). (c) an observer in the S frame nm Mirror (d) an observer on the shuttle nm for aThe distance between two light pulses moving along the x-axis of the frame S is 2km. What is the distance between them from the point of view of an observer moving at a speed of 0.2c along the x-axis relative to S?You have been posted to a remote region of space to monitor traffic. Near the end of a quiet shift, a spacecraft streaks past. Your laser-based measuring device reports the spacecraft’s length to be 85 m. The identification transponder reports it to be the NCXXB-12, a cargo craft of proper length 100 m. In transmitting your report to headquarters, what speed should you give for this spacecraft?
- Observer A sees two events at the same place (Ax = Ay = Az = 0) and separated in time by Ar = 10-6 s. A second observer B sees them to be separated by Ar' = 2 × 10-6 s. What is the separation in space of the two events according to B? What is the speed of B relative to A?Light travels through water at a speed of about 2.25 x 108 m/s. Is it possible for a particle to travel through water at a speed v greater than 2.25 × 108 m/s?I need help on Question 7!
- A galaxy G is moving away radially with speed with respect to an observer O. The relation between X, the wavelength of light emitted at G, and λo, the wavelength observed at O, is 入。 λ = λe λε 1+B 1- B' = where ẞ v/c (c is the speed of light). For ẞ < 1 find a power series expansion of the above formula up to and including terms of order ẞ³.Your video analysis of the motion of a marble gives it position in frame 23 as (x23, 923) = (0.134 m, 0.120 m) and its position in frame 24 as (x24, Y24) = (0.122 m, 0.112 m). You esti- mate that you can measure the x and y positions with uncertainty +0.003 m. The frame rate of the video is 30 frames/s, which means the time interval between frames is At = 0.033 333 s. The uncertainty of the frame rate of a video camera is VERY small. For the sake of this prob- lem, use (At) = 1 x 10-6 s. The mass of the marble is (2.031 +0.001) x 10-2 kg. Calculate the following quantities: 1. The value of the velocity component U = Xi+1Xi At and its uncertainty, Yi+1 Yi = and its uncertainty, At 2. The value of the velocity component vy 3. The value of the velocity magnitude v = 4. The value of the momentum component p 5. The value of the momentum component Py = muy and its uncertainty, and 6. The value of the kinetic energy K = =mv² = m(v²+v²) and its uncertainty. v2+2 and its uncertainty, = mv, and…