Question

On which of the following does the speed of a falling object depend?a.) v ∝ mb.)v ∝ mc.)v ∝ Δh

Answer 1

Given:

The falling object

To find:

The dependence on the speed of the falling object

Step-by-step explanation:

For an object falling freely, the total mechanical energy remains always constant. So, we can write, that the decrease in potential energy will be equal to the increase in the kinetic energy that is

`\begin{gathered} (1)/(2)mv^2=mgh \\ v^2=2gh \end{gathered}`

Hence, the speed of the falling object does not depend on the mass it depends on the height difference.