Godzilla is hanging Godzilla is hanging from the side of a building 50 stories a

Question

Godzilla is hanging

Godzilla is hanging from the side of a building 50 stories above the street and throws a screaming victim of weight m_v g down at the street with an initial speed v_0. The rescue team below has already planned for this and placed a bouncy mattress that can be modeled as a spring with force constant k supporting a plate with mass m_p. If the plate mass is much less than m_v, how high up does the victim bounce after landing on the mattress? How much work does the mattress do on the victim? What is a reasonable value for k (and your reasons for choosing that value)?

Explanation / Answer

The man falling from 50 stories approx 150 meters

v = (2gh)^1/2

The kinetic energy gained by the person just before hitting the matrices

=1/2 mvxV^2= 0.5xmvx2940 joules

= 1470 mv

This Entire kinetic energy is being absorbed by the spring plate arrangement

Work done by the person on the spring

K*X = 1470 mv

K approx could be 5000 N/m

In that case it would only stretch 0.294 meters

Related Questions

Navigate

• Browse (All)
• Browse G
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.