So, I'm reading a brief history of time, and I'm at the part where it's describing newton's second law of motion. It's a bit hard to understand these concepts without being able to visualize them, but none the less I was wondering if an object accelerates slower proportionately to it's weight, then does that same principle apply to an object that's in outer space where isn't being counteracted by the friction of the ground under it? Like, I imagine a huge airplane trying to lift off, and it obviously will go a lot slower with the same engine as a much smaller plane, because it has more matter to move. But would that same airplane accelerate at a high speed in outer space, at the same speed as a smaller plane would with that smaller engine that was faster on earth?

Thank you.