Question

A bungee jumper hangs from a bungee cord with zero velocity. If the bungee cord has a spring constant of 76 N/m and the jumper has a mass of 110 kg, how stretched is the bungee cord past its natural length?

1) 1.45 m
2) 0.69 m
3) 14.2 m
4) 6.77 m

Answer 1

The bungee cord is not stretched past its natural length.

Step-by-step explanation:

To determine how stretched the bungee cord is past its natural length, we can use Hooke's Law. Hooke's Law states that the force exerted by a spring is directly proportional to the distance it is stretched or compressed. The formula for Hooke's Law is given by F = kx, where F is the force, k is the spring constant, and x is the displacement from the natural length.

In this case, the displacement is zero and the force is zero, so we can set up the equation as 0 = kx. Solving for x, we find that x = 0. Therefore, the bungee cord is not stretched past its natural length.