Applying a force to an object when pushing or pulling can change its acceleration, and the mass of said object can affect how much acceleration that object can take.
For example, if you push 20km into a huge rock, that rock is accelerating at 20km, but due to the mass of said object let's say 35kg, it could accelerate at 10km.
Now let's take into space and say there are two rockets both pushing an asteroid (100kg) with a combined speed of 200km (low number but bear with me) the asteroid would move with ease, but remove that one rocket and it becomes a much slower process since there's not much accelerating happening due to the single rocket pushing the asteroid at 100km, and if you increase the mass from 100kg to 200kg, it becomes an even slower process.
And if you have two rockets both going at 100km, pushing the same asteroid but going in opposite directions, the net force of the asteroid would be zero since they are applying the same force from both sides.
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