Children are playing a game of ice hockey on a frozen lake. Oneof the children throws a 1200g water bottle with velocity 0.4 m/sto another kid, weighing 41 kg, sitting motionless on the ice whocatches the bottle 0.2 m from their COM at angle of impact of 12degrees. The child on the ice has a center mass moment of inertiaof 38 kg m^2. Assuming the ice is perfectly friction-less, answerthe following. 1.) How does the catch add to their moment ofinertia? 2.) What is the child's rotational motion after he bringsthe bottle closer to drink so it is now 0.1 m from their center ofmass? 3.) How does a greater angle of impact affect the child'srotational motion? 4.) What is the child's rotational motion if theangle of impact was 22 degrees? (please explain using introductoryphysics techniques, thank you).
