Picture a six-year old child bouncing on a trampoline. The trampoline basically
ID: 1468701 • Letter: P
Question
Picture a six-year old child bouncing on a trampoline. The trampoline basically acts like a spring, catching the child, storing its energy, and returning it. If we assume when the trampoline catches the child from her jump it stretches halfway to the ground, estimate a possible *spring constant* of the trampoline. GIVE A NUMERICAL VALUE.
Explain how you got your answer, clearly state your assumptions and how you came to the numbers you estimated, since grading on this problem will be based on reasoning, not on the numerical answer.
Explanation / Answer
Child at a height of 2 m and mass 30 Kg,
acceleration due to gravity 10 m/s2 .
child jumps and goes on other side by 1m.
Change in heigt 3 m . trampoline strecthes by 1m.
energy of the child = mgh = 30 *9.8 *3 =900 J
this goes into the energy of the spring = 0.5 kx^2
K/2=900
K=1800 N/m