You have carefully measured the period for the oscillation of the empty chair, w

Question

You have carefully measured the period for the oscillation of the empty chair, which is attached to an ideal spring. You already determined the mass of the empty chair to be 18 kg. With and astronaut strapped into the chair, the period of the oacillation increases by 148 %. What is the mass of the astronaut?**** note: A common problem inside orbiting space stations is monitoring astronauts weight, or better said mass. The apparent weightlessness does not allow the use of conventional scales (note that due to the close proximity to earth, the astronauts weight did not really change drastically.) Thanks!!

Explanation / Answer

T = 2(m/k)

T1/T2 = (m1/m2)

T1/(T1 + 1.48*T1) = 18/(18 + m)

1/2.48 = 18/(18 + m)

m = 92.7 kg

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