9. Work & Energy

In the context of a machine such as an inclined plane, how is the $W\_\mathrm{output}$ related to the $W\_\mathrm{input}$?

A block of mass $m$ is pulled up a frictionless inclined plane of angle $\theta$ by a constant force $F$ parallel to the incline, moving it a distance $d$ along the plane. What is the work done by the force $F$ on the block during this displacement?

Which of the following situations involves work being done on an object according to the physics definition of $\mathrm{work}$?

A proton is moved from point A to point B along a straight path parallel to the surface of an inclined plane in a uniform electric field of magnitude $E$ directed up the incline. The distance between A and B is $d$. What is the work done by the electric field in moving the proton from A to B, in joules?

In the context of work on inclined planes, in which of the following situations is no work considered to be done by a force?

Caroline uses $20N$ of force to move a box of books $15m$ along an inclined plane. How much work did she do?

A child pulls a $12-\mathrm{kg}$ wagon a distance of $4.3m$ with a constant force of $22N$ parallel to the direction of motion. How much work does the child do on the wagon?

A block of mass $m$ is pulled up a frictionless inclined plane of angle $\theta$ by a constant force $F$ parallel to the incline, moving it a distance $d$ along the plane. What is the work $W$ done by the force $F$ during this process?

Which of the following situations involves no work being done by the applied force on an object on an inclined plane?

A block of mass $m$ is pulled up a frictionless inclined plane of angle $\theta$ by a constant force $F$ parallel to the incline, moving it a distance $d$ along the plane. What is the work $W$ done by the force $F$ during this process?

In the context of an object moving on an inclined plane, does the work done on the system always result in a change in the system's kinetic energy ($K$)?

When water is pumped from a lower reservoir to a higher reservoir at a vertical height $h$, which expression gives the minimum work required to move a mass $m$ of water against gravity (neglecting friction and other losses)?

A block of mass $m$ is pulled up a frictionless inclined plane of angle $\theta$ by a constant force $F$ parallel to the incline, moving it a distance $d$ along the plane. What is the total work done by the force $F$ on the block during this displacement?

A book of mass $m$ slides a distance $d$ down a frictionless inclined plane that makes an angle $\theta$ with the horizontal. During this process, how much work does gravity do on the book?

When pushing a car up a frictionless inclined plane, which requires more work: increasing the car's speed from $0 mph$ to $30 mph$, or from $50 mph$ to $60 mph$?