Car A of mass 1500 kg travelling at 25 m/s collides with another car B of mass 1000 kg travelling at 15 m/s in the same direction. After col

Question

Car A of mass 1500 kg travelling at 25 m/s collides with another car B of mass 1000 kg travelling at 15 m/s in the same direction. After collision, the velocity of car A becomes 20 m/s. Calculate the velocity of car B after collision.

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Thiên Hương 2 months 2021-07-30T18:26:03+00:00 1 Answers 2 views 0

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    2021-07-30T18:27:19+00:00

    Answer:

    Apparently this has been asked a few years ago, so I copied this answer from deepikakvvk06 – – all credit goes to them!

    velocity of car ‘B’ after collision is 22.5m/s. //it’s a conservation of momentum question

    Explanation:

    Let ,

    mass = m

    initial velocity = u

    final velocity = v

    here ,

    m₁= 1500 kg

    m₂=1000 kg

    u₁ = 25 m/s

    u₂ = 15 m/s

    v₁ = 20 m/s

    we have to find v₂ !!

    v₂ is the velocity after collision

    Here is a formula relating the values given ,

    m₁u₁+m₂u₂ = m₁v₁ + m₂+v₂

    m₁u₁+m₂u₂ = 1500 × 25 + 1000 ×15

    = 37500 + 15000

    = 52500

    m₁v₁ + m₂+v₂ = 1500 × 20 + 1000 × v₂

    = 30000 + 1000v₂

    m₁u₁+m₂u₂ = m₁v₁ + m₂+v₂

    52500 = 3000 + 1000v₂

    1000v₂ = 52500 – 30000

    1000 v₂ = 22500

    v₂ = 22500/1000

    = 22.5 m/s

    Thus, velocity of car ‘B’ after collision is 22.5m/s.

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