A 2000 kg car experiences a braking force of 10000N and skids to a 14 m stop. What was the speed of the car just before the brakes.

Question

A 2000 kg car experiences a braking force of 10000N and skids to a 14 m stop. What was the speed of the car just before the brakes.

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Acacia 3 years 2021-07-18T18:13:33+00:00 1 Answers 38 views 0

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    2021-07-18T18:14:54+00:00

    Answer:

    V = 11.83 m/s

    Explanation:

    Given the following data;

    Mass = 2000 kg

    Force = 10000N

    Distance = 14 m

    To find the final velocity of the car;

    First of all, we would determine the acceleration of the car;

    Acceleration = force/mass

    Acceleration = 10000/2000

    Acceleration = 5 m/s²

    Next, we would use the third equation of motion to find the final velocity;

     V^{2} = U^{2} + 2aS

    Where;

    V represents the final velocity measured in meter per seconds.

    U represents the initial velocity measured in meter per seconds.

    a represents acceleration measured in meters per seconds square.

    S represents the displacement measured in meters.

    Substituting into the equation, we have;

    V² = 0² + 2*5*14

    V² = 0 + 140

    V = √140

    V = 11.83 m/s

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