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30 May, 05:42

A toy car with a mass of 2kg starts at rest. A spring performs 196 joules of work on the car. What is the toy cars final velocity

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  1. 30 May, 05:53
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    W = work done by the spring on the toy car = 196 Joules

    m = mass of the toy car = 2 kg

    v₀ = initial velocity of the car when at rest = 0 m/s

    v = final velocity of the car after spring does work on it = ?

    According to work-change in kinetic energy, net work done on an object is same as the change in kinetic energy of the object. hence

    Net work done = Final kinetic energy - initial kinetic energy

    W = (0.5) m (v² - v₀²)

    inserting the values

    196 = (0.5) (2) (v² - (0) ²)

    v² = 196

    v = sqrt (196)

    v = 14 m/s
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