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5 November, 03:37

If the momentum of a 1000 kg car travelling at 10 m/s was transferred completely to a 20.0 kg traffic barrier, what would the final speed of the barrier be

a. 40 m/s

b. 50 m/s

c. 250 m/s

d. 500 m/s

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Answers (1)
  1. 5 November, 04:17
    0
    d. 500 m/s

    Explanation:

    Momentum: This is the product of the mass of a body to its velocity, The S. I unit of momentum is kgm/s.

    Mathematically, momentum can be expressed as,

    M = mv ... equation 1

    Where M = momentum, m = mass, v = velocity

    deduced from the question,

    Momentum of the car = momentum of the barrier.

    MV = mv ... Equation 1

    Where M = mass of the car, V = velocity of the car, m = mass of the barrier, v = velocity of the barrier.

    making v the subject of the equation,

    v = MV/m ... Equation 2

    Given: M = 1000 kg, V = 10 m/s, m = 20 kg.

    Substitute into equation 2

    v = 1000 (10) / 20

    v = 500 m/s.

    Hence the speed of the barrier = 500 m/s

    The right option is d. 500 m/s
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