How does the currently accepted model of the nucleus provide evidence of the existence of the strong nuclear force?

The protons have like charges and should repel, so to stay near each other in the nucleus, there is a strong force holding them together.
The electrons have like charges and should repel each other, which is why they are scattered in the electron cloud.
The protons and neutrons have opposite charges and should attract each other, so to keep them apart, there must be a strong force in the nucleus.
The particles in the nucleus are separated by type, showing the existence of a strong force that keeps them apart.

Consider the particle-in-a-box problem in 1d. a particle with mass m is confined to move freely between two hard walls situated at x = 0 and x = l. the potential energy function is given as (a) describe the boundary conditions that must be satisfied by the wavefunctions ψ(x) (such as energy eigenfunctions). (b) solve the schr¨odinger’s equation and by using the boundary conditions of part (a) find all energy eigenfunctions, ψn(x), and the corresponding energies, en. (c) what are the allowed values of the quantum number n above? how did you decide on that? (d) what is the de broglie wavelength for the ground state? (e) sketch a plot of the lowest 3 levels’ wavefunctions (ψn(x) vs x). don’t forget to mark the positions of the walls on the graphs. (f) in a transition between the energy levels above, which transition produces the longest wavelength λ for the emitted photon? what is the corresponding wavele

John throws .4 kg ball with velocity of 18 m/s. hits .2 kg bottle and bottle flies 25 m/s. how fast is ball traveling after hitting the bottle?

Zamir and talia raced through a maze. zamir walked 2 m north, 2 m east, 4 m south, 2 m east, 4 m north, 2 m east, 3 m south, 4 m east and 4 m north. talia walked 2 m north, 6 m east, 3 m south, 4 m east, and 4 m north. compare their displacements: zamir's displacement is talia's displacement.