A cable is lifting a construction worker and a crate, as the drawing shows. The weights of the worker and crate are 965 and 1510 N, respecti

Question

A cable is lifting a construction worker and a crate, as the drawing shows. The weights of the worker and crate are 965 and 1510 N, respectively. The acceleration of the cable is 0.620 m s 2 , upward. What is the tension in the cable (a) below the worker and ( b) above the worker

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Bình An 5 years 2021-07-15T03:36:54+00:00 1 Answers 184 views 0

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    2021-07-15T03:38:20+00:00

    Answer:

    Explanation:

    a)

    Below  the worker , the tension in cable  is pulling  the crate . Let the tension be T₁ .

    weight of  crate is acting downwards .

    Total weight  1510  N.

    Net force acting on both = T₁ – 1510

    Applying second law of Newton ,

    T₁ – 1510 = 1510 / 9.8 x 0.62                [ 1510 / 9.8 = mass of  crate ]

    T₁ – 1510 = 95.5

    T₁  = 1605.5  N.

    b )

    Above the worker , the tension in cable  is pulling both the worker and the crate . Let the tension be T₂ .

    weight of both worker and crate is acting downwards .

    Total weight = 965 + 1510 = 2475 N.

    Net force acting on both = T₂ – 2475

    Applying second law of Newton ,

    T₂ – 2475 = 2475 / 9.8 x 0.62  [ 2475 / 9.8 = mass of both worker and crate ]

    T₂ – 2475 = 156.6

    T₂  = 2631.6 N.

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