Final answer:
Gamma, represented by the symbol γ, is the Lorentz factor or the factor by which time, length, and mass are modified as an object moves at relativistic speeds. In this case, if v = 0.100c, the value of γ is approximately 1.005.
Step-by-step explanation:
Gamma, represented by the symbol γ, is the Lorentz factor or the factor by which time, length, and mass are modified as an object moves at relativistic speeds. It is given by the equation γ = 1/sqrt(1 - (v/c)^2), where v is the velocity of the object and c is the speed of light. In this case, if v = 0.100c, we can substitute the values into the equation to find γ.
We have v = 0.100c, so v/c = 0.100. Plugging this value into the equation gives γ = 1/sqrt(1 - 0.100^2) = 1/sqrt(1 - 0.010) = 1/sqrt(0.990) = 1/0.995 = 1.005.
Therefore, the value of γ when v = 0.100c is approximately 1.005.