A vehicle with a mass of 1250.0 kg accelerates from 0 to 50 km/h in 10.0 s. What is the net force on the vehicle?

Question

A vehicle with a mass of 1250.0 kg accelerates from 0 to 50 km/h in 10.0 s. What is the net force on the vehicle?

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Linh Đan 2 months 2021-07-23T07:57:09+00:00 1 Answers 4 views 0

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    2021-07-23T07:58:52+00:00

    Answer:

    1,736.1N

    Explanation:

    The information we have is:

    mass: m==1,250kg

    initial velocity: v_{i}=0

    final velocity: v_{f}=50km/h

    we need to converto to m/s:

    v_{f}=\frac{50km}{h}*\frac{1h}{3,600s} *\frac{1000m}{1km}  \\v_{f}=13.89m/s

    time: t=10s.

    First we need to calculate the acceleration:

    a=\frac{v_{f}-v_{i}}{t}

    substituting the values:

    a=\frac{13.89m/s-0}{10s} \\a=1.389m/s^2

    and now we use Newton’s second law to calculate the net force:

    F=ma

    substituting the mass and acceleration:

    F=(1250kg)(1.389m/s ^2)\\\\F=1,736.1N

    the net force on the vehicle is in Newtons is: 1,736.1N

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