Answer to Question #271608 in Physics for jay

Question #271608

Estimate the stiffness (k) of a spring in a child’s pogo stick if the child has a mass of 35 kg and bounces once every 2.0 seconds. [ANS = 350 N m-1]


1
Expert's answer
2021-11-25T16:23:08-0500

Given:

m=35kgm=35\:\rm kg

T=2.0sT=2.0\:\rm s


The period of oscillation of a spring pendulum

T=2πmkT=2\pi \sqrt{\frac{m}{k}}

Hence, the stiffness of a spring

k=4π2mT2=43.142352.02=345.4N/m350N/mk=\frac{4\pi^2m}{T^2}=\frac{4*3.14^2*35}{2.0^2}=345.4\:\rm N/m\approx 350 \:N/m


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