It's your birthday, and to celebrate you're going to make your first bungee jump. you stand on a bridge 100 m above a raging river and attach a 30-m-long bungee cord to your harness. a bungee cord, for practical purposes, is just a long spring, and this cord has a spring constant of 40 n/m . assume that your mass is 80 kg . after a long hesitation, you dive off the bridge. [take g

The distance is 15.21 m.

Explanation:

Given that,

Height of bridge h= 100 m

Length = 30 m

Spring constant = 40 N/m

Mass = 80 kg

Suppose we need to find the distance when the cord reaches its maximum elongation

We need to calculate the distance

We need to calculate the gravitational potential energy

Using formula of gravitational potential energy

Put the value into the formula

....(I)

We need to calculate the elastic energy in cord

Using formula of elastic energy in cord

.....(II)

We need to calculate the value of x

From equation (I) and (II)

Put the value of h into the formula

Cord will be extended by 85.21 m when jumper at maximum elongation of  the cord.

We need to calculate the distance

Negative sign shows the distance of under water.

Hence, The distance is 15.21 m.