Question

In Dallas, the morning after a winter ice storm, a 1600kg car going eastward on Chestnut street at 40.0m/s collides with a 2800kg truck that is going southward across Chestnut street at 20.0m/s.If the two vehicles become attached together upon colliding:

a) Determine the mechanical energy lost in the collision

Answer 1

р у Де б а - А. и from conservation of momentum in East m, y, (m+m2) v Cos® » vcoso = m, ut m,1 мг- А у соѕ0 = 16oota x 40 m) S 160х8t280ok 5 V соѕ0 = 14.55 m/s from conservation of momentum in south ThV2 = (т 4+ 2) v Simo 5 vsi19 : 1h V2 1) + m2 » ( sjъө = 26ookx 2pm/s 16ookЯ t 2%Do9 A vr sitЮ = 12.23 )) s

V= s[vcoso )2 evsing)2 v=14.552 +12.73 mis Vs 19.33m)s mechanical energy lost ios collision tlost - Ime Ve?+ 1 m2 V22- (2+ m2) v2 - 2600kg x 60ml/5€ + 2rookgx@0915 3°440kg xQsabay] = 2035944.843 Elost = 2.036 x 1063 smic