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23 January, 05:13

A 1400 kg car moving + 13.7 m/s makes an elastic collision with a 3200 kg truck, initially at rest. What is the velocity of the car after the collision?

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  1. 23 January, 06:05
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    The velocity of the car after the collision is - 5.36 m/s

    Step-by-step explanation:

    An elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remains the same.

    let the following:

    m₁ = mass of the car = 1400 kg

    m₂ = mass of the truck = 3200 kg

    u₁ = velocity of the car before collision = 13.7 m/s

    u₂ = velocity of the truck before collision = 0 m/s

    v₁ = velocity of the car after collision

    v₂ = velocity of the truck after collision

    v₁ = [ u₁ * (m₁ - m₂) + u₂ * 2m₂ ] / (m₁ + m₂)

    = [ 13.7 * (1400 - 3200) + 0 * 2 * 3200 ] / (1400 + 3200)

    = - 5.36 m/s

    So, the velocity of the car after the collision is - 5.36 m/s
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