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The picture shows a van and a car traveling in the same direction. The
500 kg van going right at 5.0 m/s bumps into a 400 kg car moving in
the same direction at 2.0 m/s. The car has a final speed of 4.0 m/s.
What is the final velocity of the van? Assume there are no net external
forces and thus, momentum is conserved during the collision.

A. 2.5 m/s

B. 3.0 m/s

C. 3.4 m/s

D 4.3 m/s

The picture shows a van and a car traveling in the same direction The 500 kg van going right at 50 ms bumps into a 400 kg car moving in the same direction at 20 class=
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onyebuchinnaji

The final velocity of the van after the collision is determined as 3.4 m/s.

Final velocity of the van

The final velocity of the van can be determined by applying the principle of conservation of linear momentum as follows;

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

where;

  • u is the initial velocity of the objects
  • v is the final velocity of the objects
  • m is mass of the objects

500(5) + 400(2) = 500v₁ + 400(4)

3300 = 500v₁ + 1600

1700 = 500v₁

v₁ = 1700/500

v₁ = 3.4 m/s

Thus, the final velocity of the van after the collision is determined as 3.4 m/s.

Learn more about linear momentum here: https://brainly.com/question/7538238
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