How to Use

Roller Coaster Simulator – Conservation of Energy, Loop, Height

Drag the cart to any height on the rail and let go, and it starts from there. The dashed line marks the height it can climb back to when there is no friction.

Uniform Acceleration SimulatorSlope is acceleration, area is displacementYou can solve it without the timeA negative acceleration is not always a slowdownFalling and throwing upward are one motion
Projectile Motion SimulatorHorizontal and vertical move separatelyWhat disappears is the timeThe farthest throw is at 45°
Friction SimulatorFriction does as it is toldIt is set by how hard the surface is pressedThe angle of slipping does not depend on weight
Leaning Ladder SimulatorBalanced forces can still topple itThe wall is smooth, the floor is roughThe more upright, the safer
Pulley SimulatorAdd the equations and the tension goesTension is not the weightIt takes weight to get it moving
Roller Coaster SimulatorThe path makes no differenceHeavy in the valley, light on the hillIt takes two and a half times the height
Conservation of Momentum SimulatorImpulse changes momentumThey cancel on the insideThe second equation is the restitution
Collision SimulatorThe wall carries the momentum offEvery bounce multiplies it by e²Infinitely many bounces, and it stops
Circular Motion SimulatorConstant speed and still acceleratingThere is no such force as centripetal forceThe flatter it lies, the faster it turns
Spring Pendulum SimulatorSimple harmonic motion is a circle's shadowVelocity and acceleration are shadows tooEnergy only changes its form
Simple Pendulum SimulatorA small swing is the same as a springHeight decides the speedIn an accelerating train the vertical tilts
Planetary Orbit SimulatorThe Moon is falling tooThe nearer in, the fasterThe period is set by the size of the orbitFast enough and it never returns