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 35.6 kg chair alone oscillates with a period of 1.30 s , and the period with the astronaut sitting in the chair is 2.23 s .

A) Find the force constant of the spring: k=________ N/m
B)Find the mass of the astronaut: m=_________kg

Explanation / Answer

m1/m2= (t1/t2)^2
35.6/m2= (1.30/2.23)^2

m2= 104.75 kg
mass of astraunaut= m2 - m1= 104.75 - 35.6 = 69.16 kg
Now 1.30 = 2* 3.14 * SQRT (35.6/k)
Spring constant k= 830.80 N/m

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