Teacher-curated, self-paced courses. Looking for a guided sequence through a full topic? See Learning Paths.
The restoring force that grows with the displacement, and the angular frequency it gives. A mass on a horizontal or a vertical spring, and springs in series and in parallel. The kinetic, potential and total energy of an oscillator.
A stretched wire stores energy, like a spring. A rope, a beam and a mountain all have a limit. In this course we find the elastic energy of a wire, we study wires in series and in parallel and the stress of a heated rod, and we use the safety factor to choose the rope of a crane, the shape of a beam and the greatest height of a mountain.
Why can a rocket leave the Earth, but a ball thrown up with the same speed as a bullet always comes back? In this course we define the gravitational field and the gravitational potential energy, we learn why the energy is negative, we find the field and the potential inside and outside a spherical shell and a solid sphere, and we find the escape speed of a planet.
You carry a heavy bag along a level road. Are you doing work? In physics, the answer may surprise you. In this course we define work with the scalar product of two vectors, we find that work changes the kinetic energy of a body, and we learn to find the work of a force that changes along the path, as the force of a spring does.
A stone held high, and a spring that is pressed, can both do work when we let them go. In this course we find which forces store energy and which do not, we write the potential energy of gravity and of a spring, and we use the conservation of energy to solve problems with slopes, pendulums, roller coasters and rough floors.
Two motors lift the same load to the same height, and one is faster. Two cars crash, and they stick together or bounce apart. In this course we measure how fast work is done with power, we study elastic and inelastic collisions in one and two dimensions, and we use the coefficient of restitution and the ballistic pendulum to find speeds that are hard to measure.
A student pushes hard against a wall for a long time and the wall does not move. Did the student do work? In physics the answer is no. Here we learn what work means, how to measure it in joules, and when it is positive, negative or zero.
A moving ball can break a window, and a stone on a roof can break it too, when it falls. Both have energy. In this course we find the energy of motion and the energy of position, and we learn how to calculate each one.
Energy changes form all the time, but the total stays the same. In this course we follow this law in a falling ball and a swinging pendulum. Then we ask how fast work is done, which is power, and we learn to read an electricity bill.
A ball is dropped, a car brakes, a pump fills a tank. You can solve each one with forces and time, but it is long. With energy it takes three lines. In this course you learn when to use the energy method and how to use it, solve ten harder problems on speed, braking, friction, power and efficiency, and then take a timed test.