Modern Physics For Scientists And Engineers
2nd Edition
ISBN: 9781938787751
Author: Taylor, John R. (john Robert), Zafiratos, Chris D., Dubson, Michael Andrew
Publisher: University Science Books,
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Chapter 1, Problem 1.23P
To determine
The speed of the rocket.
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At what speed, in m/s, would a moving clock lose 1.1 ns in 1.0 day according to experimenters on the ground?
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Chapter 1 Solutions
Modern Physics For Scientists And Engineers
Ch. 1 - Prob. 1.1PCh. 1 - Prob. 1.2PCh. 1 - Prob. 1.3PCh. 1 - Prob. 1.4PCh. 1 - Prob. 1.5PCh. 1 - Prob. 1.6PCh. 1 - Prob. 1.7PCh. 1 - Prob. 1.8PCh. 1 - Prob. 1.9PCh. 1 - Prob. 1.10P
Ch. 1 - Prob. 1.11PCh. 1 - Prob. 1.12PCh. 1 - Prob. 1.13PCh. 1 - Prob. 1.14PCh. 1 - Prob. 1.15PCh. 1 - Prob. 1.16PCh. 1 - Prob. 1.17PCh. 1 - Prob. 1.18PCh. 1 - Prob. 1.19PCh. 1 - Prob. 1.20PCh. 1 - Prob. 1.21PCh. 1 - Prob. 1.22PCh. 1 - Prob. 1.23PCh. 1 - Prob. 1.24PCh. 1 - Prob. 1.25PCh. 1 - Prob. 1.26PCh. 1 - Prob. 1.27PCh. 1 - Prob. 1.28PCh. 1 - Prob. 1.29PCh. 1 - Prob. 1.30PCh. 1 - Prob. 1.31PCh. 1 - Prob. 1.32PCh. 1 - Prob. 1.33PCh. 1 - Prob. 1.34PCh. 1 - Prob. 1.35PCh. 1 - Prob. 1.36PCh. 1 - Prob. 1.37PCh. 1 - Prob. 1.38PCh. 1 - Prob. 1.39PCh. 1 - Prob. 1.40PCh. 1 - Prob. 1.41PCh. 1 - Prob. 1.42PCh. 1 - Prob. 1.43PCh. 1 - Prob. 1.44PCh. 1 - Prob. 1.45PCh. 1 - Prob. 1.46PCh. 1 - Prob. 1.47PCh. 1 - Prob. 1.48PCh. 1 - Prob. 1.49PCh. 1 - Prob. 1.50PCh. 1 - Prob. 1.51PCh. 1 - Prob. 1.52PCh. 1 - Prob. 1.53P
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- I asked this problem already but was given the wrong solution. We are studying relativity Imagine two civilizations from different planets that have started an intergalactic war. During a space battle, a missile is shot from spaceship one toward spaceship two. The missile leaves the spaceship one at 0.960c (in spaceship one's reference frame) and approaches spaceship two at 0.752c (in spaceship two's reference frame). What is the relative velocity of the two spaceships in units of c? Hint: keep in mind that the two spaceships are approaching each other. Round your answer to three decimal places.arrow_forwardA particle has γ=18,399. a) Calculate c-v in m/s. (I would have asked for 1 - v/c, making the answer dimensionless, but the system doesn't seem to take numbers that small. Gamma is chosen to make the particle extremely close to the speed of light.) If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation. b) In a race to the moon, by 3/4ths the distance, light is one or ten meters ahead of the particle. We routinely approximate mass as zero, gamma as infinite, and speed as the speed of light. ("Massless particles" -- gamma and m have to be eliminated from the expressions. Light is a true massless particle.) If a massless particle has momentum 1,739 MeV/c, calculate its energy in MeV. Thank you so much!!arrow_forwardA particle has γ=18,399. a)Calculate c-v in m/s. (I would have asked for 1 - v/c, making the answer dimensionless, but the system doesn't seem to take numbers that small. Gamma is chosen to make the particle extremely close to the speed of light.) If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation. b) In the previous problem, in a race to the moon, by 3/4ths the distance, light is one or ten meters ahead of the particle. We routinely approximate mass as zero, gamma as infinite, and speed as the speed of light. ("Massless particles" -- gamma and m have to be eliminated from the expressions. Light is a true massless particle.) If a massless particle has momentum 1,739 MeV/c, calculate its energy in MeV.arrow_forward
- You are now in 20 years old. You are disappointed with the current situation. So, you decide to leave to the future of Earth. You plan a space journey for 5 years(go in 2.5 years and back in 2.5 years.) with a constant speed v? relative to Earth. If you wish to reach the Earth after 100 years when you are 25 years old, how fast the speed, v? you need to set for your spaceship? (Give your answer in 5 significant figures)arrow_forwardA 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?arrow_forwardYou are now in 20 years old. You are disappointed with the current situation. So, you decide to leave to the future of Earth. You plan a space journey for 5 years(go in 2.5 years and back in 2.5 years.) with a constant speed relative to Earth. If you wish to reach the Earth after 100 years when you are 25 years old, how fast the speed, you need to set for your spaceship? (Give your answer in 5 significant figures)arrow_forward
- Two atomic clocks are synchronized. One is placed on a satellite, which orbits around the earth at high speed for a whole year. The other is placed in a lab and remains at rest, with respect to the earth. You may assume that both clocks can measure time accurately to many significant digits. Imagine that the speed of light was much slower 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. I attached my answer but am not understanding why the variables are given the value of one, or what the answer represents.arrow_forwardA particle is accelerated from 0.975c to 0.992c as measured in a laboratory reference frame. This is a change in speed of only 1.7% and the ratio of the velocities is 1.017 (as measured in the lab frame). What is the ratio of the particle momentum when moving at 0.992c as compared to when it was moving at 0.975c? This ratio should be expressed as a decimal number. P2 P₁arrow_forwardYou wish to make a round trip from Earth in a spaceship, traveling at constant speed in a straight line for exactly 6 months (as you measure the time interval) and then returning at the same constant speed.You wish further, on your return, to find Earth as it will be exactly 1000 years in the future. (a) To eight significant figures, at what speed parameter b must you travel? (b) Does it matter whether you travel in a straight line on your journey?arrow_forward
- Suppose that the speed of light in a vacuum ( c), instead of being a whopping 3×108m/s, was a rather sluggish 40.0mph. How would that affect everyday life? Throughout this problem we are going to assume that c=40.0mph and that time dilation is in full effect. Let's start by assuming that it is fairly easy to accelerate to speeds close to 40.0mph. We will also ignore gravity throughout this problem. Otherwise, the earth (with an escape velocity of 11km/s11km/s) would have turned into a black hole long ago. Part A Suppose that a bored student wants to go to a restaurant for lunch, but she only has an hour in which to go, eat, and get back in time for class. Considering that it usually takes about 30 minutes in most restaurants to get served and to eat, what is the farthest restaurant the student can go to without being late for class? Assume in this part that the student has a car that can accelerate to its top speed in a negligible amount of time. Also, the local speed limit is 30 mph…arrow_forwardBecause of the earth’s rotation, a person living on top of a mountain moves at a faster speed than someone at sea level. The mountain dweller’s clocks thus run slowly compared to those at sea level. If the average life span of a hermit is 80 years, on average how much longer would a hermit dwelling on the top of a 3000-m-high mountain live compared to a sea- level hermit?arrow_forwardRecall, from this chapter, that the factor gamma (γ) governs both time dilation and length contraction, where When you multiply the time in a moving frame by γ, you get the longer (dilated) time in your fixed fame. When you divide the length in a moving frame by γ, you get the shorter (contracted) length in your fixed frame. Assume that rocket taxis of the future move about the solar system at half the speed of light. For a 1-hour trip as measured by a clock in the taxi, a driver is paid 10 stellars. The taxi-driver’s union demands that pay be based on Earth time instead of taxi time. If their demand is met, show that the new payment for the same trip would be 11.5 stellars.arrow_forward
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