Final answer:
The Lorentz factor approaches 1 as an object's velocity becomes much less than the speed of light, which is when Newtonian mechanics is effectively recovered because relativistic corrections become negligible.
Step-by-step explanation:
Lorentz Factor and Newtonian Physics
The Lorentz factor is a dimensionless number that comes into play in special relativity to describe the time dilation, length contraction, and relativistic momentum of an object moving relative to an observer. As the object's velocity v approaches zero relative to the speed of light c, the Lorentz factor, given by the equation γ = 1/√(1-v^2/c^2), approaches 1. When γ is equal to 1, the modifications of Newtonian mechanics in special relativity become negligible, thus recovering the classic Newtonian physics conditions. In other words, for relatively slow speeds that are significantly less than the speed of light, the predictions of classical Newtonian mechanics align closely with experimental results and thus do not require relativistic corrections.