4. [#224] Artificial gravity a of Science fiction writers imagine a ship in deep space, accelerating at a constant 9.8 m.s 2, which gives the travellers a sensation similar to the weight they feel on the Earth, where falling objects accelerate at g = 9.8 m.s ?. Starting from rest (and ignoring effects due to special relativity), how long does it take such a ship to accelerate to 0.1 times the speed of light c (recalling that c= 3.0*10 m.s ), and how far does it travel during that time? (Note: 0.1 has only 1 sig fig!) Answer: The ship travels for and travels a distance of 4 days, 5 x 10* km 40 days, 5 x 104 km 40 days, 5 x 1010 km O 4 days, 5 x 104 km

4. [#224] Artificial gravity a of Science fiction writers imagine a ship in deep space, accelerating at a constant 9.8 m.s 2, which gives the travellers a sensation similar to the weight they feel on the Earth, where falling objects accelerate at g = 9.8 m.s ?. Starting from rest (and ignoring effects due to special relativity), how long does it take such a ship to accelerate to 0.1 times the speed of light c (recalling that c= 3.010 m.s ), and how far does it travel during that time? (Note: 0.1 has only 1 sig fig!) Answer: The ship travels for and travels a distance of 4 days, 5 x 10 km 40 days, 5 x 104 km 40 days, 5 x 1010 km O 4 days, 5 x 104 km

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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8. In a proton linear accelerator, protons are accelerated to have a kinetic energy of 550 MeV. What is their relativistic momentum? (The rest mass of a proton is 1.67 x 10-27 kg.) kg.m/s 16
B8] This question concerns two inertial frames S and S' with origins coinciding at t = t' = 0, and a set of events taking place along the x-axis, which defines the direction of relative motion. -8 a) The coordinates of event A in frame S are x = 12 m and t = 8x10 s. If the coordinates of this event in frame S' are x' = -3 m and t' = 7 x 10- s, show that the y factor for transformations between S and S' is 5/4. b) Events B and C take place in S' at a time t' = 6 × 10-* s at x' = 1 m and x' = 2 m respectively. What is their spatial separation in frame S? %3D -8- c) Event D takes place in S' at t' = 3 x 10 s and x' = 1 m. What is the time difference between events B and D in S? d) Is it possible for events A and D to take place at the same time in the frame of an observer moving along the x-axis?
24. A person in a spaceship passing Earth observes her own heart rate to be 75 beats / minute and her spaceship to be 60 m long. A person on Earth observes the spaceship person's heart rate to be 45 beats / minute and her spaceship to be long. A.36 m B. 48 m C. 60 m D. 75 m E. 100 m
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A1#The proper lifetime of a certain particle is 100 ns. i) How long does it live in the laboratory if it moves at a speed of 0.96?? ii) How far does it travel in the laboratory during that time? iii) What is the distance travelled in the laboratory according to the observer moving with the particle?
6. One of the potentially confusing things about special relativity is that it shows us that the time measured between two events depends upon your inertial frame of reference. In particular, two events that appear to be simultaneous in one inertial frame may be measured to occur at different times in a different inertial frame. Even more interesting is that Event 1 might occur either before or after (or at the same time as) Event 2, depending upon your reference frame! The proper interpretation of these facts is to say that nothing in physics forces two simultaneous events in one frame to be simultaneous in any other frame. However, what about the order of events when Event 1 CAUSES Event 2? For example, let's consider two events from a game of pool: 1) A cue ball, traveling at 10 m/s, hits the eight ball (of mass equal to the cue ball). An elastic collision transfers all the linear momentum of the cue ball to the eight ball. 2) 0.1 seconds later, the eight ball sinks in a corner…
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