Question

A bungee jumper hangs from a bungee cord with zero velocity. if the bungee cord has a spring constant of 54 n/m and the jumper has a mass of 68 kg, how stretched is the bungee cord past its natural length?

Answer 1

12.3 a p e x.

Step-by-step explanation:

Answer 2

The force that stretches the cord is the weight of the bungee jumper, which is given by:

`F=mg`
where m is the mass of the jumper and g the gravitational acceleration. Substituting, we find

`F=mg=(68 kg)(9.81 m/s^2)=667.1 N`

This force is equal to the elastic force that stretches the cord:

`F=kx`
where k is the spring constant and x is the elongation of the cord. Rearranging the equation, we find x:

`x= (F)/(k)= (667.1 N)/(54 N/m)=12.4 m`