Chapter 1, Problem 13P

(a) Does motion affect the rate of a clock as measured by an observer moving with it? (b) Does motion affect how an observer moving relative to a clock measures its rate?

Two atomic clocks are synchronized. One is placed on a satellite which orbits around the earth at high speeds for a whole year. The other is placed in a lab and remains at rest with respect to the earth. You may assume both clocks can measure time accurately to many significant digits. a)Will the two clocks still be synchronized after one year? b) imagine the speed of light is much lower than its actual value. How would the results of this experiment change if the speed of light was only twice the average speed of the satellite? Explain your reasoning using a calculation.

In the movie Interstellar, the main characters are on a planet where 1 hour = 7 years on Earth. If you are 30 years old on Earth how many hours have passed by on the planet?

Tony & Yuki are working at a particle linear accelerator  that is  414 meters long.  A particle is moving at 0.89 c in the  accelerator.  What is the length of the  particle accelerator in meters according to the particle?  Give your answer with no decimal places please.

Vector C has x-component -1.54 and a y-component -4.53. What is the angle measured counter clock wise from +x axis in degrees. Specify answer to one decimal.

Using video analysis, the motion of an object has been recorded as follows: Measurement No. time t (s) distance x (m) 1 0.300 1.59E-02 (i.e. 1.59 × 10−2) 2 0.500 4.31E-02 3 0.700 9.04E-02 4 1.20 2.70E-01   Questions Plot x vs. t on log-log paper. Label all axes properly, and draw a best-fit line through the data points. Determine the slope of the best-fit line. Based on the slope, what type of motion does the mass do?  Now assume that the motion is described by  From the given values for t and x, calculate the acceleration a for each measurement and write it down in a table. Be sure to add the proper unit.   For the acceleration, find the average, the standard deviation, standard deviation of the mean and 2σ-uncertainty. Report the final answer in standard form (mean ± uncertainty) with proper rounding and units.

A meter stick moves past you, with its motion relative to you parallel to its long axis. If you measure its length while in motion, you get 1.00 ft. At what speed is the meter stick moving relative to you?

A speeder tries to explain to the police that the yellow warning lights she was approaching on the side of the road looked green to her because of the Doppler shift. How fast would she have been traveling if yellow light of wavelength 580 nm had been shifted to green with a wavelength of 560 nm? Assume c=3x108 m/s and that light was moving not the car. Write your answer in percents of c rounded to a two decimals for example 1.25

A clock is moving at v =(4/5)c. c is the speed of light. The clock passes our clock when both clocks read t = 0. When the moving clock reads t = 30 s, what will the clocks in our frame read?