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 35.6kg chair alone oscillates with a period of 1.30s , and the period with the astronaut sitting in the chair is 2.23s . i know the mass of the astronaut is 69.2 kg. Find the force constant of the spring in N/m. i got 944 N/m for that but its wrong

Respuesta :

Answer: 864.36N/m

Explanation:

Using formula for the amplitude

T =2¶(m/k)^0.5

T is the amplitude

M is the mass

K is the force constant

It becomes;

1.30 = 2* 3.142* (35.5/k)^0.5

Solving algebraically gives

K = 29.4^2

K = 864.36 N/m

NB: this is calculated from the period and mass of the chair alone.