Final answer:
The Lorentz factor γ for a relative speed of V=0.7c is approximately 1.4007. It is calculated using the formula γ = 1 / √(1 - (v^2/c^2)).
Step-by-step explanation:
The question asks to calculate the Lorentz factor (often denoted by the Greek letter gamma γ) when the relative speed between two coordinate frames is V=0.7c. The Lorentz factor is calculated using the formula γ = 1 / √(1 - (v^2/c^2)), where v is the relative velocity and c is the speed of light. Plugging in the given velocity, we get γ = 1 / √(1 - (0.7^2)), which simplifies to γ = 1 / √(1 - 0.49) = 1 / √(0.51). Calculating that gives us a Lorentz factor of approximately γ = 1.4007. So, when the relative speed between two frames is 0.7 times the speed of light, the Lorentz factor γ is about 1.4.