How to make two objects collide without bouncing 2D

https://youtu.be/10y4BDnhadQ 55 sec long

Here is a player who should collide with stones(please ignore trees and caves). Sometimes it hits them, sometimes not. It should act the same everytime, like it does with the border. For example at ''38 the rabbit goes down when it should hit the stone. The stones should act like obstacles(the player should not move through them and remain where it is). The objects which appear at 'play' are randomly generated.