Astronauts in space cannot weigh themselves by standing on a bathroom scale. Ins

Question

Astronauts in space cannot weigh themselves by standing on a bathroom scale. Instead, they determine their mass using simple harmonic motion.

Assume that an astronaut attached to the massing apparatur is modeled as a mass-on-a-spring . If the spring constant 1330 N/m, use the graph of the astronaut's motion to determine his approximate mass.

Please, show me the steps.

Astronauts in space cannot weigh themselves by standing on a bathroom scale. Instead, they determine their mass using simple harmonic motion. Assume that an astronaut attached to the massing apparatur is modeled as a mass-on-a-spring . If the spring constant 1330 N/m, use the graph of the astronaut's motion to determine his approximate mass.

Explanation / Answer

Here Time period = 4*(1.08 - 1.02)

= 0.24 sec'

As we know

T = 2pi*sqrt(m/k)

1330*0.24^2/(4pi^2) = m

m = 1.94 Kg

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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