Nuclear Force Scales $($Similar to Problems $12\mathrm{.}13$ and $12\mathrm{.}14)$ a$.$ The strong force is what keeps the nucleus bound. A model for the strong force in atomic nuclei is to treat the nucleons as exchanging a particle. Based on Heisenberg$$s uncertainty principle, and assuming nuclei are smaller than $1$fm$,$ what is the approximate mass of this particle? b$.$ The weak force is responsible for beta decay. We now know that the mass of the Weak force carriers are ~$80-90/2.$ Based on Heisenberg$$s uncertainty principle, what is the approximate length scale of the Weak