Question

Protons and neutrons (together called nucleons) are held together in the nucleus of an atom by a force called the strong force. At very small separations, the strong force between two nucleons is larger than the repulsive electrical force between two protons-hence its name. A well-established model for the potential energy of two nucleons interacting via the strong force is U = U_0[1 - e^{-x/x_0}] where x is the distance between the centers of the two nucleons, x_0 is a constant having the value x_0 = 2.0 × 10^{-15} m , and U_0 = 6.0 × 10^{-11} J . If two neutrons, treated as hard spheres, each with mass 1.67 × 10^{-27} kg and diameter 1.0 × 10^{-15} m , are released from rest a distance apart of 5.0 × 10^{-15} m , measured from their centers, then what is the approximate speed of each neutron when they crash together? (Ignore quantum and relativistic effects) Select one: a. 2.57 × 10^8 m/s b. 1.82 × 10^8 m/s c. 1.94 × 10^8 m/s d. 1.37 × 10^8 m/s e. 1.19 × 10^8 m/s

          Protons and neutrons (together called nucleons) are held together in the nucleus of an atom by a force called the strong force. At very small separations, the strong force between two nucleons is larger than the repulsive electrical force between two protons-hence its name. A well-established model for the potential energy of two nucleons interacting via the strong force is
U = U_0[1 - e^{-x/x_0}]
where x is the distance between the centers of the two nucleons, x_0 is a constant having the value x_0 = 2.0 × 10^{-15} m , and U_0 = 6.0 × 10^{-11} J .
If two neutrons, treated as hard spheres, each with mass 1.67 × 10^{-27} kg and diameter 1.0 × 10^{-15} m , are released from rest a distance apart of 5.0 × 10^{-15} m , measured from their centers, then what is the approximate speed of each neutron when they crash together? (Ignore quantum and relativistic effects)
Select one:
a. 2.57 × 10^8 m/s
b. 1.82 × 10^8 m/s
c. 1.94 × 10^8 m/s
d. 1.37 × 10^8 m/s
e. 1.19 × 10^8 m/s

Protons and neutrons (together called nucleons) are held together in the nucleus of an atom by a force called the strong force. At very small separations, the strong force between two nucleons is larger than the repulsive electrical force between two protons-hence its name. A well-established model for the potential energy of two nucleons interacting via the strong force is
U = U0[1 - e^-x/x0]
where x is the distance between the centers of the two nucleons, x0 is a constant having the value x0 = 2.0 × 10^-15 m , and U0 = 6.0 × 10^-11 J .
If two neutrons, treated as hard spheres, each with mass 1.67 × 10^-27 kg and diameter 1.0 × 10^-15 m , are released from rest a distance apart of 5.0 × 10^-15 m , measured from their centers, then what is the approximate speed of each neutron when they crash together? (Ignore quantum and relativistic effects)
Select one:
a. 2.57 × 10^8 m/s
b. 1.82 × 10^8 m/s
c. 1.94 × 10^8 m/s
d. 1.37 × 10^8 m/s
e. 1.19 × 10^8 m/s

Added by Richard W.

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