Precise Ingredients

Classical Mechanics Level 3

You want to pour exactly \(300 \text{ g}\) of sugar into a bowl. You place the bowl on a scale and zero it. Then you pour sugar, from a constant height at a constant rate. When should you stop pouring to ensure that you have exactly \(300\text{ g} \) of sugar?

Details and Assumptions:

  • Ignore air resistance during the motion.

  • Pouring means that the sugar initially has zero velocity.

  • Once the sugar reaches the scale, it is brought to a full stop.

  • The time needed to pour the 300 g of sugar is longer than the falling time of the sugar.

Bonus: Will the answer change if the sugar bounces up and down a bit before finally settling?


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