A 100 kg bungee jumper leaps from a bridge. The bungee cord has an un-streched equilibrium length of 10 m, and a spring constant of 35 N/m. What is the greatest vertical distance below the bridge surface that the bungee jumper will reach? Enter your answer as a positive number in meters, but do not enter units.

Explanation:

From the question we are told that:

Mass

Length

Spring constant

Generally the equation for potential energy of mass is mathematically given by

Since

Where

 P.E_s =potential energy of spring

Therefore

Comparing the equation above with standard quadratic equation

Giving

Solving Quadratic equation the roots of the equation is given as

Since

can not be -ve

Therefore

The vertical distance attained by the bungee jumper is given as