Question

just number 12

11. [1pt] 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 35.2 kg chair alone oscillates with a period of 1.03 s, and the period with the astronaut sitting in the chair is 1.77 s. Find the force constant of the spring. Correct, computer gets: 1.3le+03 N/m 12. [1pt] Find the mass of the astronaut. Answer: Submit All Answers

Answer 1

When the astronaut is sitting in the chair, the total mass of the system will be the mass of the astronaut plus mass of the chair. We use this along with the equation for time period to find the required mass as shown below

T = 2 => 1.775 = 28, 139 pune m=168.75 kg m .

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