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Physics

Energy park

Energy conservation on a track: kinetic ↔ potential ↔ heat.

Energy park — Actual application image
Actual application image

What happens

A cart on a roller-coaster track with one strict accountant: energy. On every hill speed is traded for height and bought back on the way down; the stacked chart shows the sum staying constant, until friction quietly skims its share into heat and the cart settles into the deepest valley.

Equations used in the module
Equations
E = ½mv² + mgh + Q
Q_friction = ∫ mβv² dt
Q_impact = ½m(v_before²−v_after²)
N = m(g cos θ + v²κ)
N ≥ 0

Related experiments

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Rolling race — Actual application image

Physics

Rolling race

A hoop, a shell, a cylinder and a ball race down one incline. The order is fixed by where the inertia sits, not by mass or size.

Charge on conductors — Actual application image

Physics

Charge on conductors

Explore charge on a conductor: sample the surface, measure induction without contact, then transfer charge to a Faraday pail.

Quadcopter and control — Actual application image

Physics

Quadcopter and control

Four rotors, a cascaded controller and gains you can break: fly a course or catch a shove.