Answer:
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
- total mass (Mt) = [tex]\frac{T^{2}}{4π^{2}}k[/tex]
taking π as 3.142
total mass (Mt) = [tex]\frac{2.1^{2}}{4 x 3.142^{2}}600[/tex]
total mass (Mt) = 67 kg
therefore
mass of astronaut = 67 - 12 = 55 kg
