Answer:0.182m/s
Explanation:
We assume that the direction of motion of the car be in the positive x-direction.
Before the dump the momentum of the car was in the x-direction with magnitude
p = mv = 30000 x 0.850= 2.55 x 104 kgm/s.
The x- component of the momentum of the scrap metal was zero,
so the total initial momentum in the x-direction was pi = 2.55*104 kgm/s.
According to the law of conservation of linear momentum. Momentum before collision is equal to momentum after collision and
since no external forces act on the objects in the x-direction, therefore the x-component of the total momentum is conserved.
pfinal = (Mcar + Mmetal)Vfinal
(110,000 + 30000 kg)Vfinal = pinitial
140000Vf = 2.55*104 kgm/s.
vVfinal = (2.55*104 kgm/s)/(140,000 kg)
Ans= 0.182 m/s.
