Astronauts measure their mass by measuring the period of oscillation when sitting in a chair connected to a spring. the body mass measurement device on skylab, 1970s space station, had a spring constant of 600 n/m. the empty chair has a mass of 12 kg. what is the mass of an astronaut who oscillates with a period of 2.1 sec when sitting in the chair?

55 kg

Explanation:

spring constant (k) = 600 N/m

mass of chair (Mc) = 12 kg

period of oscillation of chair and man (T) = 2.1 s

what is the mass of the astronaut (Ma) ?

mass of the astronaut (Ma) = total mass (Mt) - mass of chair (Mc)

where

       taking π as 3.142

       total mass (Mt) =

       total mass (Mt) = 67 kg

therefore

mass of astronaut = 67 - 12 = 55 kg

answer: 2×10^-2kg

explanation: density= mass per volume

vol=mass/density

converting to s.i units we have;

3÷1000kg = 0.003

1.5÷100m = 0.15

0.003/0.15 = 0.02kg