A 1500kg car traveling due North with a speed of 25m/s collides head-on with a 4

Question

A 1500kg car traveling due North with a speed of 25m/s collides head-on with a 4500kg
Truck traveling due South with a speed of 15m/s. The 2 vehicles stick together after the collistion. A)What is the total momentum of the system priori to the collision?
B)What is the velocity of the 2 vehicles after the collision?
C)What is the total kinetic energy of the system before the collision?
D)What is the total kinetic energy of the system after the collision ?
E) is the collision elastic ? Why or Why not ?

Explanation / Answer

north is positive

intial momentum = 1500 x 25 - 4500 x 15 = -30000 kgm/s

momentum remain conserved

final momentum = [1500 + 4500] x v

v = -5 m/s or 5 m/s due south

KE = .5 x m x v^2

collision is plastic in nature as the 2 bodies stick together after collision

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