Question

The world's fastest humans can reach speeds of about 11 meters per second. In order to increase his gravitational potential energy by an amount equal to his kinetic energy at full speed, how high would such a sprinter need to climb?

Answer 1

Answer:

6.16717 m

Explanation:

m = Mass of person

g = Acceleration due to gravity = 9.81 m/s²

h = Vertical height

v = Velocity of person = 11 m/s

According to the question

$KE=PE\\\Rightarrow \dfrac{1}{2}mv^2=mgh\\\Rightarrow h=\dfrac{v^2}{2g}\\\Rightarrow h=\dfrac{11^2}{2\times 9.81}\\\Rightarrow h=6.16717\ m$

The height the person would need to climb is 6.16717 m