The mass of the astronauts in a space station cannot be checked with the scales used on the Earth. Instead we use a spring balance, which oscillates when a mass is suspended from it. Imagine a seat of a mass of 20 kg, which, oscillates with a frequency of 2 Hz. After the astronaut sits in the seat the frequency decreases to 1 Hz. How much is the mass of the astronaut ?

The mass of the astronauts in a space station cannot be checked with t

1.	The mass of the astronauts in a space station cannot be checked with the scales used on the Earth. Instead we use a spring balance, which oscillates when a mass is suspended from it. Imagine a seat of a mass of 20 kg, which, oscillates with a frequency of 2 Hz. After the astronaut sits in the seat the frequency decreases to 1 Hz. How much is the mass of the astronaut ?
Answer» 40kg 60kg 80KG 100kg Solution :`T=2pisqrt((m)/(k))implies(T_(1))/(T_(2))=SQRT((m_(1))/(m_(2)))implies (f_(1))/(f_(2))=sqrt((m_(2))/(m_(1)))` `implies m_(2)=80kg,m_(a)=60kg` .

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