Question

(a) What is $\gamma$ if v = 0.100c ? (b) If v = 0.900c ?

Final Answer

- 1.00504
- 2.294

### Solution video

# OpenStax College Physics, Chapter 28, Problem 2 (Problems & Exercises)

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Video Transcript

This is College Physics Answers with Shaun Dychko. We are going to calculate the Lorentz factor that's the name for this thing... this

*γ*, which equals 1 over the square root of 1 minus the relative velocity squared divided by the speed of light squared; we are going to calculate the value for*γ*given a speed of 0.100 times the speed of light*c*in part (a). So we have 1 over the square root of 1 minus 0.100*c*all squared divided by*c squared*and this*c*in the bracket becomes squared, which cancels with this*c squared*down here and we are left with 0.100 squared here and so we have 1 over the square root of 1 minus 0.100 squared, which is 1.00504. The value for*γ*when*v*is 0.900*c*is 1 over the square root of 1 minus 0.900 squared which is 2.294.