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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

Respuesta :

samuraijack
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".
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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