Object A is moving due east, while object B is moving due north. They collide an

Question

Object A is moving due east, while object B is moving due north. They collide and stick together in a completely inelastic collision. Momentum is conserved. Object A has a mass of mA = 16.0 kg and an initial velocity of V0A = 8.48 m/s, due east. Object B, however, has a mass of mB = 29.3 kg and an initial velocity of V0B = 5.42 m/s, due north. Find the (a) magnitude and (b) direction of the total momentum of the two-object system after the collision. (a) Pf =_________(and select the appropriate units) (b) ? = _________

Explanation / Answer

a)
x component:
(16)(8.48) + (29.3)(0) = (16 + 29.3)(Vx)
135.68 = 45.3Vx
Vx = 2.995m/s3m/s

y component:
(16)(0) + (29.3)(5.42) = (16 + 29.3)Vy
158.806 = 45.3Vy
Vy= 3.505 m/s3.5m/s

Vr2 = Vx2 + Vy2
Vr2 = (3)2 + (3.5)2
Vr = 4.61m/s

b) tan = oppiste side/adjacent side
tan = 3.5/3
= 49.4o north of east

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