Question

Chapter 07, Problem 36 GO Object A is moving due east, while object is moving due north. They collide and stick together in a completely inelastic collision. Momentum is conserved. Object A has a mass of ms -16.2 kg and an initial velocity of Tox - 7.34 m/s, due cast. Object B, however, has a mass of m -28.3 kg and an initial velocity of Pop - 5.40 m/s, due north. Find the (a) magnitude and (b) direction of the total nomentum of the two-object system after the colision. (a) Py Number Units (b) = Number Units north of east

Answer 1

MA = 16.2 MB, de to t Mo = 28.3 kg VAB to- o mA, eh (u is initial velocity, ne is final) re u = 7.34 î ms. Ug = 5-4 msnl a Mowentrum is always Consequeda, Total initial mowenteun Total final momentum, f : Along MAMA RA to molo (along 8)

het the final moneentun be denoted by ľ salong a-axis: (mat me) vcoso [het the final velocity is such that it makes o with acaris (MAT MB) ve sino , pa pa e ty - p » MAUA (MA+Mo) v cos o & MBUB (Mat Me) a sino Diriding, MAUA coso sino moue tamo 76.2 x 7.3% 28.3 5.4 =) 10 = 37.899

- 19 mo luo (MAXm3) sino =) : 5.59 ms an making angle 37.89° with (tre z-axis