52 lines
2.2 KiB
Text
52 lines
2.2 KiB
Text
[
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{"name":"Kinetic Energy","description":r"""
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Energy possessed by a moving object.
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$$KE = \frac{1}{2}mv^2$$
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Where:
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- $m$: Mass (kg)
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- $v$: Velocity (m/s)
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""","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"]},
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{"name":"Work","description":r"""
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Energy transferred when a force moves an object.
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$$W = F d \cos(\theta)$$
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Where:
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- $W$: Work (Joules)
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- $F$: Force (Newtons)
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- $d$: Displacement (meters)
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- $\theta$: Angle between force and displacement
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""","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"]},
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{"name":"Power","description":r"""
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Rate at which work is done or energy is transferred.
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$$P = \frac{W}{t}$$
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Where:
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- $P$: Power (Watts)
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- $W$: Work or energy (Joules)
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- $t$: Time (seconds)
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""","input":[{"name":"W","unit":"joule"},{"name":"t","unit":"second"}],"output":{"name":"P","unit":"watt"},"d4rtCode":"P = W / t;","tags":["physics","energy","mechanics"]},
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{"name":"Mass-Energy Equivalence","description":r"""
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Einstein's mass-energy equivalence relation.
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$$E = mc^2$$
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Where:
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- $E$: Energy (Joules)
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- $m$: Mass (kg)
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- $c$: Speed of light $299{,}792{,}458\ \mathrm{m/s}$
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This shows mass can be converted to energy and vice versa.
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""","input":[{"name":"m","unit":"kilogram"}],"output":{"name":"E","unit":"joule"},"d4rtCode":"E = m * pow(299792458, 2);","tags":["physics","relativity","energy"]}
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]
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