9. Work & Energy

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?

Doug uses a 25 N horizontal force to push a 5.0 kg crate up a 2.0-m-high, 20° frictionless slope. What is the speed of the crate at the top of the slope?

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 ($K$)?

A grocery cart with mass of 16 kg is pushed at constant speed up a 12° ramp by a force F_P which acts at an angle of 17° below the horizontal. Find the work done by each of the forces (m$\overrightarrow{g}$, ${\overrightarrow{F_N}}_{}$, $\overrightarrow{F_N}$) on the cart if the ramp is 7.5 m long.

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 $60 mph$?