Question

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

Answer 1

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

Answer 2

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".