[ // Kinetic Energy { "name": "Kinetic Energy", "description": r""" Energy possessed by a moving object. $$KE = \frac{1}{2}mv^2$$ Where: - $m$: Mass (kg) - $v$: Velocity (m/s) ![Kinetic energy (Wikipedia)](https://upload.wikimedia.org/wikipedia/commons/thumb/4/44/Kinetic_energy.svg/1200px-Kinetic_energy.svg.png)""", "input": [ {"name": "m", "unit": "kilogram"}, {"name": "v", "unit": "meters per second"} ], "output": {"name": "KE", "unit": "joule"}, "d4rtCode": "KE = 0.5 * m * pow(v, 2);", "tags": ["physics", "energy", "mechanics"] }, // Work { "name": "Work", "description": r""" Energy transferred when a force moves an object. $$W = F d \cos(\theta)$$ Where: - $W$: Work (Joules) - $F$: Force (Newtons) - $d$: Displacement (meters) - $\theta$: Angle between force and displacement ![Work (diagram) (Wikipedia)](https://upload.wikimedia.org/wikipedia/commons/thumb/e/e7/Work.svg/800px-Work.svg.png)""", "input": [ {"name": "F", "unit": "newton"}, {"name": "d", "unit": "meter"}, {"name": "theta", "unit": "degree"} ], "output": {"name": "W", "unit": "joule"}, "d4rtCode": """ var thetaRad = theta * (pi / 180); W = F * d * cos(thetaRad); """, "tags": ["physics", "energy", "mechanics"] }, // Power { "name": "Power", "description": r""" Rate at which work is done or energy is transferred. $$P = \frac{W}{t}$$ Where: - $P$: Power (Watts) - $W$: Work or energy (Joules) - $t$: Time (seconds) ![Power (diagram) (Wikipedia)](https://upload.wikimedia.org/wikipedia/commons/thumb/9/90/Power_equation.svg/800px-Power_equation.svg.png)""", "input": [ {"name": "W", "unit": "joule"}, {"name": "t", "unit": "second"} ], "output": {"name": "P", "unit": "watt"}, "d4rtCode": "P = W / t;", "tags": ["physics", "energy", "mechanics"] }, // Mass-Energy Equivalence { "name": "Mass-Energy Equivalence", "description": r""" Einstein's mass-energy equivalence relation. $$E = mc^2$$ Where: - $E$: Energy (Joules) - $m$: Mass (kg) - $c$: Speed of light $299{,}792{,}458\ \mathrm{m/s}$ This shows mass can be converted to energy and vice versa. ![Einstein formula (Wikipedia)](https://upload.wikimedia.org/wikipedia/commons/thumb/8/86/Einstein_light_beam.svg/800px-Einstein_light_beam.svg.png)""", "input": [ {"name": "m", "unit": "kilogram"} ], "output": {"name": "E", "unit": "joule"}, "d4rtCode": "E = m * pow(299792458, 2);", "tags": ["physics", "relativity", "energy"] } ]