Consider a force F₁ = $A/\sqrt{x}$ which acts on an object during its journey along the x axis from x = 0.0 to x = 1.0m, where A = 3.0 Nm¹⸍². Show that during this journey, even though F₁ is infinite at x = 0.0, the work W done on the object by this force is finite, and determine W.

A 3.0-m-long steel chain is stretched out along the top level of a horizontal scaffold at a construction site, in such a way that 2.0 m of the chain remains on the top level and 1.0 m hangs vertically, Fig. 7–27. At this point, the force on the hanging segment is sufficient to pull the entire chain over the edge. Once the chain is moving, the kinetic friction is so small that it can be neglected. How much work is performed on the chain by the force of gravity as the chain falls from the point where 2.0 m remains on the scaffold to the point where the entire chain has left the scaffold? (Assume that the chain has a linear weight density of 24 N/m.)

Two forces, ${\vec{F}}_1=(1.50\hat{i}-0.80\hat{j}+0.70\hat{k})\text{ N}$ and ${\vec{F}}_2=(-0.70\hat{i}+1.20\hat{j})\text{ N}$, are applied on a moving object of mass 0.20 kg. The displacement vector of the object while the two forces act is $\overrightarrow{d}=(6.0\hat{i}-8.0\hat{j}+5.0\hat{k})\text{ m}$. What is the work done by the two forces?

How much work is done when a constant force of $60 N$ is used to pull a sled a distance of $5 m$ in the direction of the force?

You pull a 5kg box vertically up with a constant 100N force for 2m. How much work do you do?

You push a 3kg box against a wall for a distance of 2m with a force of 40N that makes a 53° angle with the horizontal, as shown. Calculate the work done by gravity.