The potential energy 17,, between a quark and an antiquark in a meson, due to the strong force interaction, is given by the equation where as a: 1 is the strong force coupling constant, T is the distance between the two quarks, and k is a constant (which arises from QCD) that gives the strength of the quark "confinement." At small distances, the potential energy can be approximated by _ _ & V; _ 3 'r ' which has a similar form to the potential due to the electric force. (Note that the electric force is also present in the interaction between quarks because they also carry electric charge.) The electric potential, intact, can be written as VEM = ,. where the electric force coupling constant is aEM w 1/137. v PartD Take 16 m 0.85 GeV/fermi and find the magnitude of the force FS holding the two quarks together. Consider the large- 1' case in which you can ignore the 1/? term in the potential. Express your answer in tons of force. Recall that 1 fermi = 10'15 m