An astronaut with mass M floating at rest in the International Space Station catches a spinning frisbee that someone has thrown directly towards his or her center of mass. The frisbee has a mass m, a radius r, a moment of inertia of ⅔ mr2, and had a speed vo and was rotating around a vertical axis with angular speed when it was caught. Model the astronaut as having the mass distribution of a cylinder with some radius R. Assume the astronaut cradles the caught Frisbee very near his or her center of mass.
A) What is the astronaut’s final speed?
B) What is the astronaut’s final rotational speed?
C) What fraction of the Frisbee’s initial total energy must have been converted to thermal energy when the astronaut caught it?
D) Suppose we have M = 54kg, R=26 cm, m=180 g, r =13cm, (omega)= 5.0 rev/s and velocity= 4.0 m/s. Calculate the numerical results for parts a through c.
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