Two cars (with masses 2000 kg and 1000 kg) collide head on an icy road. Before the collision, the more massive vehicle was moving at 10 m/s to the right and the less massive vehicle was moving at 15 m/s to the left. Immediately after the collision, the more massive vehicle was moving at 7.0 m/s to the left. How fast was the less massive Vehicle immediately after the collision?

Question

Physics

Karly Baird

9 February, 03:52

Two cars (with masses 2000 kg and 1000 kg) collide head on an icy road. Before the collision, the more massive vehicle was moving at 10 m/s to the right and the less massive vehicle was moving at 15 m/s to the left. Immediately after the collision, the more massive vehicle was moving at 7.0 m/s to the left. How fast was the less massive Vehicle immediately after the collision?

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Answers (1)

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Ann · Answer 1

v₂' = 19 m/s

Explanation:

given,

mass of car one = m₁ = 2000 Kg

mass of car two = m₂ = 1000 Kg

velocity of car one in right (v₁) = 10 m/s

velocity of car two in left (v₂) = 15 m/s

after collision

velocity (v₁') = 7 m/s

v₂' = ?

using conservation of momentum

m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'

m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'

2000 x 10 - 1000 x 15 = - 2000 x 7 + 1000 v₂'

1000 v₂' = 19000

v₂' = 19 m/s