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=35\\:\\rm kg"

"T=2.0\\:\\rm s"


The period of oscillation of a spring pendulum

"T=2\\pi \\sqrt{\\frac{m}{k}}"

Hence, the stiffness of a spring

"k=\\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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