Question

5. When an 80.0-kg man stands on a pogo stick, the spring is compressed 0.120 m.

(a) What is the force constant of the spring? (b) Will the spring be compressed more when he hops down the road?

Please include all of the steps.

Answer 1

• Mass=m=80kg
• Distance=x=0.120m

Apply Hooke's law

`\\ \rm\rightarrowtail F=kx`

`\\ \rm\rightarrowtail mg=kx`

`\\ \rm\rightarrowtail 80(10)=0.120k`

`\\ \rm\rightarrowtail 800=0.12k`

`\\ \rm\rightarrowtail k=6666.67N/m`

• No spring constant remains same so spring won't be compressed.