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