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Chapter 37: Q72P (page 1150)

Find the speed parameter of a particle that takes 2.0 y longer than light to travel a distance of 6.0 ly.

Short Answer

Expert verified

The speed of the particle is 0.75c.

Step by step solution

01

Light Year

A light-year is a unit of distance where 1 ly is the distance that light travels in one year.

So it will take 6 years for the light to cover 6 ly distance. And the particle takes 2 years longer than light for the same distance. Hence the total time taken for the particle is 8 years.

02

The speed of the particle

The speed of the particle is

speed=totaldistancetotaltime=6ly8y=6×9.46×1015m8×3.156×107s=2.25×108m/s=0.75c

The speed of the particle is 0.75c.

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Most popular questions from this chapter

Space cruisers A and B are moving parallel to the positive direction of an x axis. Cruiser A is faster, with a relative speed of v=0.900c, and has a proper length of L=200m. According to the pilot of A, at the instant (t = 0) the tails of the cruisers are aligned, the noses are also. According to the pilot of B, how much later are the noses aligned?

A particle with mass m has speed c/2 relative to inertial frame S. The particle collides with an identical particle at rest relative to frame S. Relative to S, what is the speed of a frame S’ in which the total momentum of these particles is zero? This frame is called the center of the momentum frame.

Reference frame S’ is to pass reference frame S at speed v along the common direction of the and x axes, as in Fig. 37-9. An observer who rides along with frame S’ is to count off a certain time interval on his wristwatch. The corresponding time interval ∆t is to be measured by an observer in frame S. Figure 37-22 gives ∆tversus speed parameter βfor a range of values for . The vertical axis scale is set by ta 14.0 s. What is interval ∆t if v = 0.98c?

The center of our Milky Way galaxy is about 23000ly away. (a) To eight significant figures, at what constant speed parameter would you need to travel exactly (measured in the Galaxy frame) in exactly 23000ly (measured in your frame)? (b) Measured in your frame and in light-years, what length of the Galaxy would pass by you during the trip?

In Fig. 37-26a, particle P is to move parallel to the x and x' axes of reference frames S and S' , at a certain velocity relative to frame S. Frame S'" width="9">x axis of frame S at velocity v. Figure 37-26b gives the velocity localid="1664359069513" u'of the particle relative to frame localid="1664359072841" S' for a range of values for v. The vertical axis scale is set by ua'=0.800c. What value willu' have if (a)v=0.90c and (b) v→c?
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