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Chapter 37: Q. 11 (page 1081)

Event A occurs at space-time coordinates (300m, 2渭蝉). a. Event B occurs at space-time coordinates(1200m, 6渭蝉). Could A possibly be the cause of B? Explain. b. Event C occurs at space-time coordinates(2400 m, 8渭蝉). Could A possibly be the cause of C? Explain

Short Answer

Expert verified

Event A is the cause of event B; But A isn't the cause of event C

Step by step solution

01

Part  (a) Step 1: Given information

The space time coordinates of Event A and B are given as (300m, 2渭蝉) and(1200m, 6渭蝉) respectively.

02

Part  (a) Step 2: Explanation:

鈭�xis the difference between the position, and 鈭�tis the difference between time coordinates.

螖x=900m;螖t=4渭s

We can conclude:

v=螖x螖t=900m4渭s=225m/渭s<c

which is less than the 300 m of event A.

Therefore Event A is the cause of Event B.

03

Part (b) Step 1: Given information:

The spacetime coordinates of Event C are given as(2400 m, 8渭蝉).

04

Part(b) Step 2: Explanation:

As:

螖x=2100m;螖t=6渭s

and

谓=螖x螖t=2100m6渭s=350m/渭s<c

which is greater than 300 m of Event A,

Therefore, Event A couldn't have been the cause of C.

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