Answer to Question #145696 in Physics for liam donohue

Question

A hammer falls from a shelf and strikes the ground at 12 ms-1
. Using kinetic
and potential energies in the calculation, determine what height did it fell from.

Answer 1

We can find the height from which the hammer was fell from the Law of Conservation of Energy:

$$PE=KE,$$ $$mgh=\dfrac{1}{2}mv^2,$$ $$h=\dfrac{v^2}{2g}=\dfrac{(12\ \dfrac{m}{s})^2}{2\cdot 9.8\ \dfrac{m}{s^2}}=7.35\ m.$$

Answer:

$h=7.35\ m.$