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8 March, 03:20

A cable raises a mass of 158.0 kg with an acceleration of 1.8 m/s2. What force (in N) of tension is in the cable?

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  1. 8 March, 03:46
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    Force of Tension = 1832.8 N

    Explanation:

    Any mass of object supported or pulled by a rope or cable is subject to a force of tension. Since the mass is raised by a cable, tension is involved.

    Mathematically,

    Tension = mass * gravity (9.8 m/s²)

    Tension can be represented as

    T = (m * g) + (m * a)

    Where g is the acceleration due to gravity of the object the cable is supporting and a is the acceleration on the object the cable is supporting. And m is the mass of the object.

    mass = 158 kg

    a = 1.8 m/s²

    g = 9.8 m/s²

    T = mg + ma

    T = m (g + a)

    T = 158 (9.8 + 1.8)

    T = 158 * 11.6

    T = 1832.8 N
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