the coefficient of static friction between the bed of a truck and a box resting on it is 0.67. The truck is traveling along a straight horiz

Question

the coefficient of static friction between the bed of a truck and a box resting on it is 0.67. The truck is traveling along a straight horizontal road at 30 m/s. what is the least distance in which the truck can stop if the box is not to slide/

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Đan Thu 2 months 2021-07-31T15:19:21+00:00 1 Answers 0 views 0

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    0
    2021-07-31T15:21:09+00:00

    Answer:

    68.46 m.

    Explanation:

    Given,

    coefficient of friction,μ = 0.67

    speed of truck, v = 30 m/s

    distance travel by the truck to stop = ?

    Now,

    Calculation of acceleration

    we know,

    f = m a

    and also

    f = μ N = μ mg

    Equating both the forces equation

    m a = μ mg

    a = μ g

    a = 0.67 x 9.81

    a = 6.57 m/s²

    Now, using equation of kinematics

    v² = u² + 2 a s

    0 = 30² – 2 x 6.57 x s

    s = 68.46 m

    Hence, the minimum distance travel by the truck is equal to 68.46 m.

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