edit* just re-read that you're making a sidescrolling hack n' slash. Ignore the top-down comments, but everything still apples otherwise.
Depending on your needs, you may not need a 3rd party physics engine and it may just be overkill for your game. You could program the gravity and collision yourself, and if you're making a top-down hack-n-slash, you're unlikely to even need gravity. I don't have a good tutorial for collision detection offhand, but if you'd like I could dig one up that I found helpful. There are a few methods for 2d collision with varying pros/cons.
For actual physics, your needs probably aren't all that demanding for a 2d hack and slash, but http://www.rodedev.com/tutorials/gamephysics/ is a pretty great start for basic game physics programming. Rigid bodies and torque and such may not actually be relevant to your game.
If you're set on using a physics engine, http://box2d.org/ is open-source and has most of your bases covered. There are certainly others though, and perhaps someone else will have a better recommendation.
Let me know if you need any clarification or links to resources,
here are a couple links for sfml collision I found useful:
bounding box collision:
tile map collision(easy):
Edited by Misantes, 30 August 2014 - 01:22 PM.