How do i deal with my mother?

I am 15 years old, i have been depressed for a long tim not knowing the cause, a couple mounths ago i figured out it was my mom, i am alot happyer now but the only thing stoping me to reach full happiness is my moms abuse, she emotionaly, verbally and physically abuses me, she is constantly yelling litteraly all the time, the rare times she is not yelling she is saying y i am a failure and how i am a and will never find a decent husband. on top of all this if i do the littlest mess up like forgot to do 1 of my daily chores she will hit me, sometimes worce then others, my mom is a single mom with to kids and she treats my little sister like a saint. i am very depressed and i dnt do well in school with the stress from my mom, i would like to move in with my dad but i while back my stepmom expressed how she hates me with every breath she takes, i love my mom despite all the abuse but i am tired of putting up with it, i would like to know how to get along with her. my mom is constantly calling me names, a lier and a stealer, i have never stolen anything in my life, i am stressed and tired and would like to have a better social life with my friends with out my mom getting in the way, whatdo i do?