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Chapter 37: 4P (page 1145)

(Come) back to the future. Suppose that a father is 20.00 y older than his daughter. He wants to travel outward from Earth for 2.000 y and then back for another 2.000 y (both intervals as he measures them) such that he is then 20.00 y younger than his daughter. What constant speed parameter 尾 (relative to Earth) is required?

Short Answer

Expert verified

The speed parameter is 0.9949 .

Step by step solution

01

Identification of given data

The duration of travel for father from Earth is t0=2y

The difference in age before and after travel for father is t=20y

The Lorentz factor is used to find the speed parameter which is the ratio of the speed of particle with speed of light.

02

Determination of speed parameter relative to Earth 

The speed parameter for travel is given as:

尾=1-2t02t2

Substitute all the values in equation.

尾=1-22y220y2尾=0.9949

Therefore, the speed parameter is 0.9949.

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Most popular questions from this chapter

Question: Temporal separation between two events. Events and occur with the following spacetime coordinates in the reference frames of Fig. 37-25: according to the unprimed frame,andaccording to the primed frame, (xA,tA)and(xB,tB). In the unprimed frame 鈭�t=tB-tA=1.00渭sand 螖x=xB-xA=240m. (a) Find an expression for 螖t'in terms of the speed parameter尾and the given data. Graph 螖t' versus 尾for the following two ranges of 尾: (b) 0 to 0.01and 0.1 (c) 0.1 to 1. (d) At what value of 尾is 螖t'minimum and (e) what is that minimum? (f) Can one of these events cause the other? Explain.

Inertial frame S'moves at a speed0.60cof with respect to frame (Fig. 37-9). Further,x=x'=0att=t'=0.Two events are recorded. In frame S , event1occurs at the origin att=0and event 2 occurs on the x axis atx=3.0kmat t=4.0渭s. According to the observerS' , what is the time of (a) event 1 and (b) event 2? Do the two observers see the same sequence or the reverse?

An electron of 尾=0.9999987moves along the axis of an evacuated tube that has a length of 3.00 m as measured by a laboratory observer S at rest relative to the tube. An observer S鈥� who is at rest relative to the electron, however, would see this tube moving with speed v ( =尾C).What length would observer S鈥� measure for the tube?

A rod is to move at constant speedvalong thexaxis of reference frame S, with the rod鈥檚 length parallel to that axis. An observer in frame Sis to measure the lengthLof the rod. Which of the curves in Fig. 37-15 best gives length L(vertical axis of the graph) versus speed parameter尾?

How much work must be done to increase the speed of an electron (a) from 0.18c to 0.19c and (b) from 0.98c to 0.99c? Note that the speed increase is 0.01c in both cases.
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