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30 August, 06:10

A crane carries a 1600 kg car at 1.5 m/s^2 with a chain that has a negligible mass. If the coefficient of kinetic friction between the wheels of the car and the road is 0.3, what is the tension in the chain? a. 3.8 kN

b. 5.9 kN

c. 6.7 kN

d. 7.1 kN

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Answers (1)
  1. 30 August, 07:19
    0
    option (d) 7.1 kN

    Explanation:

    Given:

    Mass of the car, m = 1600 kg

    Acceleration of the car, a = 1.5 m/s²

    Coefficient of kinetic friction = 0.3

    let the tension be 'T'

    Now,

    ma = T - f ... (1)

    where f is the frictional force

    also,

    f = 0.3 * mg

    where g is the acceleration due to the gravity

    thus,

    f = 0.3 * 1600 * 9.81 =

    therefore,

    equation 1 becomes

    1600 * 1.5 = T - 4708.8

    or

    T = 2400 + 4708.8

    or

    T = 7108.8 N

    or

    T = 7.108 kN

    Hence,

    The correct answer is option (d) 7.1 kN
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