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

ID: 1908649 • Letter: I

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 35.6kg chair alone oscillates with a period of 1.30s , and the period with the astronaut sitting in the chair is 2.23s . i know the mass of the astronaut is 69.2 kg. Find the force constant of the spring in N/m. i got 944 N/m for that but its wrong

Explanation / Answer

Sorry buddy...i got confused with the answer that was posted above mine...Here you go... :) Assuming that you have calculated the mass of the astronaut correctly...i am only focusing on the "K" part : As stated, the 35.6 kg chair alone oscillates with a period of 1.3 s. T = 2* pi / w= 2* pi * (m / k)^0.5 1.3 = 2*3.14 * (35.6 / k)^0.5 K = 831.62 N /m

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