1. a frictionless firetruck sprays water at 45° from its
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1.Africtionlessfiretrucksprayswaterat45°fromitson-boardwatertanks.Thewaterlandsadistancedaway.(Assumeresistance-freeprojectilemotion.)Halfoftheinitialmassofthetruckiswater.Thewaterissprayedataratek(massperunittime.)Whatisthespeedandpositionofthetruckwhenitrunsoutofwater?2.Ignoreairresistance.Aprojectileisfiredsothatitshouldlandonatarget200mawayonlevelground.Unfortunately,itbreaksintotwoequalmasspiecesinflight.Thepieceslandatthesametime,one130maway.Wheredoestheotheroneland?Isyouranswerthesameiftheylandatdifferenttimes?3.UsesphericalcoordinatestofindthecenterofmassofauniformsolidhemisphereofradiusR.4.
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