How large a net force is required to accelerate a 1600-kg SUV from rest to a speed of 25 m/s in a distance of 200 m

Question

How large a net force is required to accelerate a 1600-kg SUV from rest to a speed of 25 m/s in a distance of 200 m

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Ben Gia 2 months 2021-07-31T16:04:19+00:00 1 Answers 2 views 0

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    2021-07-31T16:05:48+00:00

    Answer:

    F=2496 N

    Explanation:

    Given that,

    Mass of SUV, m = 1600 kg

    Initial speed, u = 0

    Final speed, v = 25 m/s

    Distance, d = 200 m

    We need to find the net force. Firstly, let’s find acceleration using equation of motion.

    v^2-u^2=2ad\\\\a=\dfrac{v^2-u^2}{2d}\\\\a=\dfrac{(25)^2-(0)^2}{2\times 200}\\\\a=1.56\ m/s^2

    Net force, F = ma

    F=1600\times 1.56\\\\F=2496\ N

    So, the net force is 2496 N.

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