Friction between the skaters and the ice is negligible.
Ann has a mass of M, a moment of inertia of3Ioand has a velocity of va = -2voi+ 7voj. She is spinning with an angular velocity10ωo up.
Bob has a mass of 2M, a moment of inertia of5Io and has a velocity of vb = 4voi + voj. He is spinning withan angular velocity 2ωo down.
The two ice dancers join together (collide) and hold onto eachother taking time Δt for this to occur. Assume that themoment of inertia of the pair joined together is equal to the sumof their individual moments of inertia.
Answer the following questions in terms ofM,Io,vo,ωo,andΔt.
(A) What quantities are conserved during the collision (when theskaters join together)? List all conserved quantities that areuseful to calculate the velocity and angular velocity after thecollision. Â
(B) What is the velocity of the pair after joining together?Write in component vector form.
(C) What is the y component of the average force that Ann exertson Bob during the collision?
(D) What is the final angular velocity of the pair after joiningtogether? (Give magnitude of the angular velocity and whether it isup or down.)
(E) What is the total rotational kinetic energy after thecollision?
