A nucleus that captures a stray neutron [in a nuclear reactor, for example] 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 1.3 x 107 m/s is just barely captured by a nucleus with a diameter of 1.3 x 10-14 m. Assuming the strong force on the neutron is constant, find the magnitude of that force. (The neutron's mass is 1.67x10-27 kg.)
The Attempt at a Solution
So I do the following:
v^2 = v0^2-2ad -> 0^2 = 1.3*10^7 - 2a(1.3*10^-14)
a = -1.3*10^7/(2(1.3*10^-14)) = 2.20385 so * mass = 2.010423077E-5
But this is incorrect?