If two people, \(A\) and \(B\), pull on opposite ends of a rope that is at rest, each exerting a horizontal tensile force of magnitude \(F\), the tension in the rope is \(\mathcal{T}=F\). Suppose instead that one end of the rope is tied to a tree and A pulls on the other end by himself with the same force magnitude \(F\). Is the tension in the rope larger than, equal to, or smaller than the tension when \(A\) and \(B\) pull on opposite ends?