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 35.4kg chair alone oscillates with a period of 1.50s , and the period with the astronaut sitting in the chair is 2.25s .

Find the force constant of the spring.

k=?N/m

Find the mass of the astronaut

m=?kg

Explanation / Answer

1.5 = 2*pie*(35.4/K)^0.5
K = 621.62

2.25 = 2*pie *(m+35.4/621.62)^0.5

m = 44.249 Kg

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