Question

Lions can run at speeds up to approximately 80.0 km/h. A hungry 110 kg lion running northward at top speed attacks and holds onto a 36.5 kg Thomson's gazelle running eastward at 79.5 km/h. Find the final speed up of the lion-gazelle system just after the lion attacks. Uf = m/s Find the angle between the final velocity of the lion-gazelle system and the East axis, with positive angles measured counterclockwise from the East axis. =

Answer 1

answer

a) 17.56 m/s

b) 71.73^o

AN Page No. Date Rosultant 198+ E AL id Momentum condorvoel momentum of hioo pe mare mass a velocity oro llox foz 8800 kg km/h 2 Momentum of gazało P= 36 5x79.5=2901-75 g Revaldanh momentum = J P ² + Pg 7 2PLPg Los 90 = √ P2? + Pg² 8800²+ 2901.75 = 9265084 kg km/no Total man after l10+ 36'5 canching 2 = 146.5 kg final volonty Final momentem Tohal mass 9265.84 = 68.24 km Ind 146.5 Conoroh to m/s VAZ 63.24 x rooo 17.56 mis 60x60 Tand = AC PL 8800 = 3.03 @AB Pg 8901.75 tan' (3.03) 71.73° Towards North-East D 2 cs ed with am Sonner