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 36.2kg chair alone oscillates with a period of 1.15s , and the period with the astronaut sitting in the chair is 2.20s

part a: find the force constant of the spring.

part b: find the mass of the astronaut.

a. K = 1080.61 N/m

b. mₐ = 96.28 kg

Explanation:

T = 2π * √ m / K

T₁ = 2π * √m₁ / K , T₂ = 2π * √m₂ / K

m₁ = 36.2 kg , m₂ = m₁ + mₐ

T₁ = 1.15 s , T₂ = 2.2 s

Equal period to determine the force constant of the spring

a.

K = 4π²* m₁ / T₁²

K = 4π² * 36.2 kg / 1.15² s

K = 1080.61 N/m

So replacing and solve can find m₂

b.

m₂ = T₂² * m₁ / T₁²   ⇒  m₂ = 2.20² s * 36.2 kg  / 1.15 ² s

m₂ = 132.48

mₐ = m₂ - m₁

mₐ = ( 132.48 - 36.2 ) kg = 96.28 kg

this is an example of "committed" time.

committed time, as contracted time, takes need over essential and available time since it is seen as profitable work. it alludes to the time allotted to keep up a home and family. at the point when a man is commuting using committed time this individual may feel that the drive is an obligation to family, for example, strolling youngsters to class or driving a mate to work. contracted and committed time clients may feel that their commute could really compare to the commute of important or leisure time clients on the grounds that their commute is profitable work. in this manner, they might be more disposed to pick a mechanized method of movement.