A piece of paper falls slowly to the ground because of air resistance. The large surface area of the paper interacts with air molecules, creating a force that opposes its downward motion, causing it to fall more slowly than heavier objects with less surface area.
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In a vacuum, both a ball and a piece of paper will fall at the same rate and hit the ground at the same time because they are subject to the same gravitational acceleration. However, in reality, the paper may experience more air resistance and fall more slowly than the ball.
In a vacuum, a feather and a piece of paper would fall at the same rate due to gravity. However, in Earth's atmosphere, the feather would fall more slowly due to air resistance.
Both the book and the piece of paper will fall to the ground at the same rate due to gravity. The book may reach the ground faster due to its greater mass and air resistance, but they will still fall at the same rate in a vacuum.
When a piece of paper is rolled up, it creates more air resistance due to its irregular shape compared to when it's flat. The increased air resistance slows down the fall of the rolled up paper compared to the flat paper.
You can crumple the paper up to increase its air resistance, which will slow down its rate of fall. This will cause the paper to fall more slowly, closer to the rate at which the book is falling.