Question

In an effort to determine where to travel for Christ- mas Break, you decide to throw a dart at a globe spinning with angular velocity w. To ensure where you travel is warmer than Long Beach, you suc- cessfully hit the equator of the globe with the dart. a) Draw all relevant states of the event, and deter- mine what quantities (if any) are conserved. b) If the mass of the dart is m and the mass of the globe is M (and I hollow sphere = Ma), find the final velocity of the dart after hitting the globe.

Answer 1

Hitting es a type of collision So, In any rotational mation orgular Conserve. entem which . Befor Lit) after hit of eighъ4) Angular momentum before hill. I, = 90 - Ema?) w Angular momentum ofree hit the = frist I dont IW! ma?) w = (Ins of Idart ) wl win Angular velbalty of > (² ma?) wa (2 ma?+maz) wl mazyw = (şma?) w Lirlere I after maleting > Twia un Herafv-wa} راه ا dartano подзе дизайнер - +] via The final delocity of the dart after setting