Question

A stone is dropped from a certain height and penetrates into mud. All else being equal, if it is dropped from twice the height, how much farther should it penetrate mud? trate 1. Farther than before, but less than twice as far 2. More than twice as far 3. Twice as far 4. Approximately as far

Answer 1

In order to solve this question, first let's analyze the potential energy of a mass:

`E_p=m\cdot g\cdot h`

The potential energy is directly proportional to the height of a mass.

Therefore, if the height doubles, the potential energy also doubles.

Since all the potential energy will be converted and used when the stone penetrates the mud, and in the second case the stone has double the energy, therefore the stone will penetrate twice as far in the mud.

So the correct option is 3.