Chapter 12, Problem 4P

### Inquiry into Physics

8th Edition
Ostdiek
ISBN: 9781337515863

Chapter
Section

### Inquiry into Physics

8th Edition
Ostdiek
ISBN: 9781337515863
Textbook Problem

# A computer in a laboratory requires to make a certain calculation, as measured by a scientist in the lab. To someone moving past the lab at a relative speed of 0.995c, how long will the same calculation take?

To determine

To someone moving past the lab at a relative speed of 0.995c, how long will the same calculation take?

Explanation

Given info:

A computer in a laboratory requires 2.50 p,s to make a certain calculation, as measured by a scientist in the lab.

Formula used:

Using the formula of time dilation.

Î”tâ€²=Î”t1âˆ’ v 2 c 2

Here v is the speed of particle and c is speed of light.

Calculation:

We have, Î”t=2.5Ã—10âˆ’6sâ€‰â€‰andÂ vâ€‰=Â 0.995c

Substituting the given values in above formula, we get

Î”tâ€²=2

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