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

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

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".