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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Question
Chapter 1, Problem 1.42P
To determine
(a)
The coordinates of the front and the back of the rocket for the arrival of light in the frame where it is at rest.
To determine
(b)
The coordinates
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A traveller in a rocketship of legth 200m sets up a coordinate system S' with an origin O' anchored at the exact center of the rocket, and the x' axis along the rocket's length. At t' = 0 she ignites a flashbulb at O'. (a) What are the coordinates x'_front, x'_back, t'_front, t'_back for the arrival of the light to the front and back of the ship? (b) Outside of the ship, another observer measures the rocket travelling with a velocity of v = .3c with respect to him. In his coordinate system S (which is in standard configuration with S'), what are the spacetime coordinates of the same events, x_front, t_front, and x_back, t_back?
The coordinate axes of the reference frame Sremain parallel to those of S, as Smoves away from S at a constant velocity vS,S = (4.0 ˆi+ 3.0 ˆj + 5.0 ˆk) m/s. (a) If at time t = 0 the origins coincide, what is the position of the origin Oin the S frame as a function of time? (b) How is particle position for r(t) and r(t), as measured in S and S, respectively, related? (c) What is the relationship between particle velocities v(t) and v(t)? (d) How are accelerations a(t) and a(t) related?
(u1, u, u3) in S'. Prove from the
Q.10 A particle has velocity u
velocity transformation foumulae that
(u1, u2, U3) in S and u =
%3D
(2 – u")(2 – v²)
(c2 + uv)2
2 - u?
Deduce that, if the speed of a particle is less than c in any one inertial frame, then it is less
than c in every inertial frame.
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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