Zak, helping his mother rearrange the furni- ture in their living room, moves a 48.9 kg sofa 3.3 m with a constant force of 21 N.
What is the work done by Zak on the sofa? Neglect friction.
Answer in units of J
Friction or not, the work done is
W = F.D (scalar product)
If force is applied in the same direction as the displacement, then work done is simply the product of the magnitude of the force and the distance travelled, namely
W= 21N*3.3m
= 69.3 J
To determine the work done by Zak on the sofa, we need to use the formula:
Work = Force x Distance
Given:
Force (F) = 21 N
Distance (d) = 3.3 m
Plugging these values into the formula, we get:
Work = 21 N x 3.3 m
Now, we just need to calculate this multiplication:
Work = 69.3 Nm
However, the unit for work is Joules (J), not Nm. The unit Nm represents the product of Newtons and meters, which is known as the Joule. Therefore, the answer is 69.3 J (Joules).