Hurt and pain

Hurt
1.I hurt myself when I am going go siking.
2.My stomach hurts because I probably ate too much.
3.You better stay at home since your foot is badly hurt.
4.He didn't meant to hurt someone. I know he is kindly kind man.

Pain
I felt constantly pain in my chest.
Tom lost his son. it must be pains him. It must be paniful [OR] It must pain him.

Sometimes these two verbs are interchangeable when referring to feelings/emotions.

You could say "It hurts me when you say those mean things" [OR] "It pains me when you say those mean things". 

As an adjective though to say something physically hurts you must use "hurts" or "is in pain".

My foot hurts. [is equivalent to] My foot is in pain.

When used with "feel" though, "I feel hurt" [emotional hurt] or "I feel pain" [physical hurt] the meanings are different. 

English can be odd sometimes. I recommend you stick with memorizing usage little by little.

Hurt and pain

Hurt
1.I hurt myself when I am going siking skiing.
2.My stomach hurt,I probably ate too much.
3.You better stay at home,since your foot is badly hurt.
4.He didn't meant to hurt someone,I know he is kindly a king man.

Pain
I felt constantly constantly felt pain in my chest. (words of frequency more commonly placed before main verb)
Tom lost his son,it must be pains him. be painful for him/pain him

:)