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31 August, 04:05

A painter lifts a 2.8 kg bucket using a rope. if the acceleration of the bucket in 3.1 m/s2, what is the tension in the rope (in n) ? selected:

a. 27.4 n

b. 9.8 n

c. 8.68 n

d. 36.1 n

e. 2.94 n f. 0 n

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Answers (2)
  1. 31 August, 04:12
    0
    The problem indicate that the mass is moving upward, calculate first the "Weight" of an object, W=mg W = (2.8Kg) (3.2m/s²) = 8.68N. The tension on the wire will be proportional to the weight of an object because "Tension" is acting upward and weight is acting "downward".
  2. 31 August, 04:20
    0
    Refer to the diagram shown below

    Given:

    m = 2.8 kg, the mass of the bucket

    a = 3.1 m/s², the acceleration of the bucket

    Therefore

    W = 2.8*9.8 = 27.44 N, the weight of the bucket.

    Let T = the tension in the rope.

    From the free body diagram, the net force accelerating the bucket is

    T - W = m*a

    That is,

    T = W + m*a

    = 27.44 + 2.8*3.1 N

    = 36.12 N

    Answer: d. 36.1 N
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