In order to study the long-term effects of weightlessness, astronauts in space m

Question

In order to study the long-term effects of weightlessness, astronauts in space must be weighed (or at least "massed"). One way in which this is done is to seat them in a chair of known mass attached to a spring of known force constant and measure the period of the oscillations of this system. The 34.8kg chair alone oscillates with a period of 1.00s , and the period with the astronaut sitting in the chair is 2.24s

a) Find the force constant of the spring.
k=________N/m

b)Find the mass of the astronaut.
m=___________kg

Explanation / Answer

t = 2pi sqrt (M/K)

K = 4pi2 * 34.8 / (1.00)2

K = 1373.8 N/m

---------------------------------

2.24 = 2pi sqrt((34.8 + m) / 1373.8)

34.8 + m = 174.6

mass of astronaut m = 139.8 kg

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

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