AP Physics C: Mechanics Unit 3: Work, Energy, and Power

A motor lifts a 200 kg load at a constant velocity of $2$ m/s. What power does the motor deliver? ($g=10$ m/s²)

A spring ($k=500$ N/m) launches a 0.2 kg ball from rest after being compressed 0.2 m. Using energy conservation, find the ball's launch speed.

A 2 kg block slides 4 m down a frictionless incline inclined at 30°. Using the work–energy theorem, what is the final kinetic energy? ($g=10$ m/s²)

Using the work integral, derive the work done by a spring force $F_s=-kx$ as a block is displaced from $x=0$ to $x=A$.

A conservative force on a particle is $F(x)=-\frac{dU}{dx}$ where $U(x)=2x^3-x^2$ J. Find the force at $x=1$ m.

A variable force $F(x)=3x^2$ N acts on a particle along the $x$-axis. What is the work done from $x=0$ to $x=2$ m?

A particle moves in the $xy$-plane from $(0,0)$ to $(2,4)$ m under the force $\mathbf{F}=(3x^2)\hat{i}+(2y)\hat{j}$ N along the straight-line path $y=2x$. What is the total work done?

A constant force $F=10$ N is applied at $0°$ to a block that moves 5 m along a frictionless surface. How much work is done by $F$?

A 3 kg object moves from rest and reaches a speed of $4$ m/s. What is the net work done on it?

A 5 kg block is released from rest at the top of a frictionless ramp of height $h=3$ m and then slides along a rough horizontal surface (${\mu }_k=0.2$, $g=10$ m/s²). How far does it travel on the rough surface before stopping?

A spring with constant $k=200$ N/m is compressed 0.1 m from its natural length. How much elastic potential energy is stored?

A 4 kg block moves along the $x$-axis subject to force $F(x)=6x-2$ N. Starting from rest at $x=1$ m, find the kinetic energy at $x=3$ m.