68.8k views
3 votes
There is a 90 kg woman attached at the end of a bungee cord (k = 35 N/m) that is experiencing simple harmonic motion. How long does it take the woman to complete one cycle?

User Zarah
by
4.6k points

1 Answer

4 votes

Answer:

The value is
T =10.1 \ s

Step-by-step explanation:

From the question we are told that

The mass of the woman is
m = 90 \ kg

The spring constant of the bungee cord is
k = 35 \ N/ m

Generally the period of the oscillation (i,e time taken to complete on cycle ) is mathematically represented as


T = 2 \pi * \sqrt{ (m)/(k) }

=>
T = 2 * 3.142 * \sqrt{ (90 )/( 35) }

=>
T =10.1 \ s

User Pencroff
by
4.7k points