2. Astronauts in space cannot use a regular scale to monitor their body mass, so they must sit in a special spring-mounted chair (called a body-mass measuring device) and use information about their oscillations to calculate their mass. The chair has a mass of 45-kg and an effective spring constant of 7000 N/m. When an astronaut is strapped into the chair and set into motion, it makes 12 complete oscillations every 10 seconds. (a) What is the angular frequency of the oscillations? (b) What is the astronaut's mass? Note that the total moving mass is equal to the astronaut's mass plus the Chair's mass. (c) Would the angular frequency of the empty chair be greater than, less than, or the same as What you found in part (a)? (d) The astronaut's speed as she passes through the equilibrium position is 2.5 this. What is the amplitude of her motion