Chapter 28, Problem 17PE

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

Chapter
Section

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

# (a) How fast would an athlete need to be running for a 100-m race to look 100 yd long? (b) Is the answer consistent with the fact that relativistic effects are difficult to observe in ordinary circumstances? Explain.

To determine

(a)

The speed would an athlete need to be running for a 100-m race to look 100 yd long.

Explanation

Given info:

â€ƒâ€ƒc=3Ã—108Â msâˆ’1

â€ƒâ€ƒL0â‰ˆ100Â m

â€ƒâ€ƒLâ‰ˆ100Â ydLâ‰ˆ91.44Â m

Formula used:

For length calculation, the relation between length and relativistic factor is

â€ƒâ€ƒL0â‰ˆÎ³L

â€ƒâ€ƒÎ³â‰ˆL0L

Relativistic factor is

â€ƒâ€ƒÎ³â‰ˆ11âˆ’v2c2

Velocity can

â€ƒâ€ƒvâ‰ˆc1+

To determine

(b)

The answer consistent with the fact that relativistic effects are difficult to observe in ordinary circumstances.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started