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Two car approach an intersection at a right angle to each other.  If an inelastic collision occurs...

Two car approach an intersection at a right angle to each other.  If an inelastic collision occurs at the intersection, determine the x component of the final momentum of the combined vehicles.  Car 1 of mass 882.7 kg approaches the intersection from the left with a speed of 28.45 m/s.  Car 2 of mass 1,778.35 kg approaches the intersection from the south with a speed of 10.68 m/s.

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Answer #1

Mass of the first car = m1 = 882.7 kg

Mass of the second car = m2 = 1778.35 kg

Initial velocity of the first car = V1 = 28.45 m/s

X-component of the initial velocity of the first car = V1x = 28.45 m/s

Y-component of the initial velocity of the first car = V1y = 0 m/s

Initial velocity of the second car = V2 = 10.68 m/s

X-component of the initial velocity of the second car = V2x = 0 m/s

Y-component of the initial velocity of the second car = V2y = 10.68 m/s

Initial momentum of the system in the X-direction = P1x

P1x = m1V1x + m2V2x

P1x = (882.7)(28.45) + (1778.35)(0)

P1x = 25113 kg.m/s

Final momentum of the system in the X-direction = P2x

Linear momentum in the X-direction is conserved during the collision therefore,

P2x = P1x

P2x = 25113 kg.m/s

X-component of the final momentum of the combined vehicle = 25113 kg.m/s

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