Suppose you lift a suitcase from the floor to a table. The work you do on the suitcase depends on which of the following: (a) whether you lift it straight up or along a more complicated path, (b) the time the lifting takes, (c) the height of the table, and (d) the weight of the suitcase?

The work done on lifting any particular body is affected by the difference in height, the mass of the body, or the weight of the body. In the SI system, the work done is measured in joule (J).

When a person lifts a suitcase from the floor to a table, it does not depend on the time of the lift and the path of the lift. So, options (a) and (b) are incorrect.

The work (W) in the case of lifting depends on the change in gravitational potential energy, which is equivalent to the weight of the suitcase times the change in height.

\(\begin{aligned}W &= F \times (h - 0)\\W &= mgh\end{aligned}\)

Here, F is the force needed to lift the suitcase whose value is equivalent to the weight of the suitcase, h is the height of the table, m is the mass of the suitcase, and g is the gravitational acceleration.

As seen from the above relation, the work done relies on the height of the table and the suitcase's weight.

Thus, options (c) and (d) are the correct choices.