A nucleus that captures a stray neutron must bring the neutron to a stop within the diameter of the nucleus by means of the strong force. That force, which "glues" the nucleus together, is approximately zero outside the nucleus. Suppose that a stray neutron with an initial speed of 1.4 x 10⁷ m/s is just barely captured by a nucleus with diameter d = 1.0 x 10^-14 m. Assuming the strong force on the neutron is constant, find the magnitude of that force. The neutron's mass is 1.67 x 10^-27 kg.