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15 May, 06:05

A 1000-kg car is driving toward the north along a straight horizontal road at a speed of 20.0 m/s. The driver applies the brakes and the car comes to a rest uniformly in a distance of 200 m. What are the magnitude and direction of the net force applied to the car to bring it to rest?

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  1. 15 May, 09:50
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    Force will be acting southward and the magnitude of force will be 1000 N

    Explanation:

    given,

    mass of car = 1000 Kg

    initial speed of the car (u) = 20 m/s

    final speed of the car (v) = 0 m/s

    distance to stop the car = 200 m

    using equation of motion

    v² = u² + 2 a s

    0 = 20² + 2 x a x 200

    400 a = - 400

    a = - 1 m/s²

    Now, we know

    Force = mass x acceleration

    F = 1000 x - 1

    F = - 1000 N

    - ve sign of force represent force will be acting in the opposite direction of motion.

    Force will be acting southward and the magnitude of force will be 1000 N
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