A constant \(12\,\mathrm{N}\) force acts in the direction of a \(5\,\mathrm{m}\) displacement. Find the work done by the force.

A \(20\,\mathrm{N}\) friction force acts opposite a \(3\,\mathrm{m}\) displacement. Find the work done by friction.

A \(30\,\mathrm{N}\) force pulls an object \(4\,\mathrm{m}\) at \(40^\circ\) to the displacement. Find the work.

A normal force is perpendicular to the displacement of a sliding block. What work does the normal force do?

A \(50\,\mathrm{N}\) pull acts forward while a \(10\,\mathrm{N}\) friction force acts backward over \(8\,\mathrm{m}\). Find the net work.

A \(2.0\,\mathrm{kg}\) object is lifted upward by \(3.0\,\mathrm{m}\). Find the work done by gravity, taking \(g=9.8\,\mathrm{m\,s^{-2}}\).

For \(\vec{F}=6\hat{\imath}-2\hat{\jmath}\,\mathrm{N}\) and \(\Delta\vec{r}=3\hat{\imath}+4\hat{\jmath}\,\mathrm{m}\), find the work done by the force.

A \(40\,\mathrm{N}\) force does \(100\,\mathrm{J}\) of work over a \(5.0\,\mathrm{m}\) displacement. Find the angle between force and displacement.

A force \(\vec{F}=8\hat{\imath}+3\hat{\jmath}\,\mathrm{N}\) acts while a particle moves from \((1,2)\,\mathrm{m}\) to \((6,-1)\,\mathrm{m}\). Find the work.

A centripetal force acts toward the centre of a circular path. Explain why it does no work on an object moving at constant speed around the circle.

A force \(\vec{F}=5\hat{\imath}\,\mathrm{N}\) acts while a particle moves \(3\,\mathrm{m}\) east and then \(4\,\mathrm{m}\) north. Find the total work.

An object moves \(6\,\mathrm{m}\) along a horizontal floor while a \(15\,\mathrm{N}\) force pulls \(25^\circ\) above the horizontal. Find the work done by the pull.

A block moves \(4.0\,\mathrm{m}\) up a straight incline. Its weight component down the incline is \(18\,\mathrm{N}\), a rope pulls up the incline with \(25\,\mathrm{N}\), and friction is \(3.0\,\mathrm{N}\) down the incline. Find the net work from these forces.

A constant force has components \(\vec{F}=F_x\hat{\imath}+4\hat{\jmath}\,\mathrm{N}\). It does \(38\,\mathrm{J}\) of work over \(\Delta\vec{r}=5\hat{\imath}+2\hat{\jmath}\,\mathrm{m}\). Find \(F_x\), then the angle of \(\vec F\) measured from +x.

A constant force has magnitude \(10\,\mathrm{N}\). During displacement \(\Delta\vec{r}=3\hat{\imath}+4\hat{\jmath}\,\mathrm{m}\), it does \(40\,\mathrm{J}\) of work. Find the possible force vectors and the angle each makes with the displacement vector.

A \(6.0\,\mathrm{kg}\) crate is pulled \(5.0\,\mathrm{m}\) across a floor by a \(35\,\mathrm{N}\) force at \(30^\circ\) above horizontal. Friction has magnitude \(12\,\mathrm{N}\). The normal and weight do no work. If the crate starts at \(1.5\,\mathrm{m\,s^{-1}}\), find the net work and final speed.