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

ID: 1695996 • Letter: O

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 = 16.5 kg and an initial velocity of varrowbolditalic0A = 7.90 m/s, due east. Object B, however, has a mass of mB = 27.5 kg and an initial velocity of varrowbolditalic0B = 5.05 m/s, due north. Find the magnitude and direction of the total momentum of the two-object system after the collision.

-I don't know how to do this problem at all

Explanation / Answer

mA=16.5kg

mB=27.5kg

vA=7.90m/s, 0°

vB=5.05m/s, 90°

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mAvA+mBvB=ptotal

16.5(7.90)+27.5(5.05)=ptotal

130.35+138.875=ptotal

269.225=ptotal=269

tan-1(138.875/130.35)=46.8°