When you start blowing up the baloon, the rubber its made of is stiff and thick (compared to what happens next). When you blow air into it, you can feel that it quickly stretches a lot, and then it gets easier to blow it up completely. That is also why its much easier to blow up a baloon which was once filled with air and deflated.
Kind of like with tight pants. You struggle to get them on because fabric is new. Once you wear them for even few minutes, they become easier to put on again.
Latest Answers