Question

While skiing in Jackson, Wyoming, your friend Ben (of mass 61.5 kg) started his descent down the bunny run, 25.2 m above the bottom of the run. If he started at rest and converted all of his gravitational potential energy into kinetic energy, what is Ben’s kinetic energy at the bottom of the bunny run?Answer in units of J. What is his final velocity? Answer in units of m/s"

Answer 1

Answer:

$E_{k}=15204Joules$

$v=22.2m/s$

Explanation:

We can apply energy conservation law:

Initial Energy = Final Energy

In the beginning there is only potential energy, and in the end there is only kinetic energy.

$E_{k}=E_{p}=mgh=61.5*9.81*25.2=15204Joules$

And:

$E_{k} = \frac{1}{2}mv^2$

$v=\sqrt{2*E_{k}/m}=\sqrt{2*15204/61.5}=22.2m/s$