Part A A 2100 kg truck is traveling east through an intersection What is their s

Question

Part A A 2100 kg truck is traveling east through an intersection What is their speed just after the collision? at 2.0 m/s when it is hit simultaneously from the side and the rear. (Some people have all the luck!) One car is a 1200 kg compact traveling north at 5.0 m/s. The other is a 1500 kg midsize traveling east at 10 m/s. The three 419 vehicles become entangled and slide as one body. Part A What is their speed just after the collision? Express your answer with the appropriate units. Part B What is their direction just after the collision? Express your answer with the appropriate units.

Explanation / Answer

Conservation of momentum

m1 u1 + m2 u2 + m3 u3 = ( m1 + m2 + m3 ) v

v = ( m1 u1 + m2 u2 + m3 u3 ) / ( m1 + m2 + m3 )

v = ( 2100* 2 i + 1200*5 j + 1500*10 i ) / ( 2100 + 1200 + 1500 )

v = ( 4200 i + 6000 j + 15000 i ) / 4800

v = ( 19200 i + 6000 j ) / 4800 = 4 i + 1.25 j

Speed after the collision = sqrt(4^2 + 1.25^2) = 4.19 m/s

Direction after the collision = arctan(1.25/4) = 17.35 o north of east

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