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

Question

Object A is moving due east, while object B is moving due north.They collide and stick together in a completely inelasticcollision. Momentum is conserved. Object A has a mass ofmA = 17.0 kg and an initial velocity ofv0A = 7.40m/s, due east. Object B, however, has a mass ofmB = 28.3 kg and an initial velocity ofv0B = 4.77m/s, due north. Find the (a) magnitude and(b) direction of the total momentum of thetwo-object system after the collision.

(a) Pf = kg*m^2kg*m/s^2kg*m/skg*mN*m
(b) = degrees north of east

Chapter 7, Problem 36 GO

Explanation / Answer

.      mA   = 17.0 kg ; vOA  = (7.40 m /s) i .    mB   = 28.3 kg ; vOB   = (4.77 m /s) j . As they stick together after collision , . From conservation of momentum : .       mA  vOA +  mB   vOB   = Pf   .    ==>   Pf   = 17.0 *7.40 i + 28.3 * 4.77 j .       = 125.8 i + 134.991 j . Magnitude is : .         Pf   = sqrt ((125.8)2   + (134.991)2 ) .       = 184.52 kg - m /s . Direction is : .       = tan-1  ( 134.991 /125.8 ) .       = ----------- degree . Hope this helps u!

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