Asked by blooooop
what is kinetic energy
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Answered by
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Kinetic energy is the energy an object has because of its motion.
Key points
- For a point mass moving at non-relativistic speeds, KE = 1/2 m v^2, where m is mass and v is speed. (Scalar — depends on speed, not direction.)
- Unit: joule (J). 1 J = 1 kg·m^2/s^2.
- Example: a 2 kg object moving at 3 m/s has KE = 1/2·2·3^2 = 9 J.
- Rotational analogue: for a rigid body rotating about an axis, KE = 1/2 I ω^2 (I = moment of inertia, ω = angular speed).
- Work–energy theorem: the net work done on an object equals its change in kinetic energy.
- Frame dependence: kinetic energy value depends on the reference frame (it differs for observers moving relative to each other).
- Relativistic case (speeds near light speed): KE = (γ − 1)mc^2, where γ = 1/√(1 − v^2/c^2).
If you want, I can show derivations, more examples, or how kinetic energy converts to other forms (e.g., potential energy, heat).
Key points
- For a point mass moving at non-relativistic speeds, KE = 1/2 m v^2, where m is mass and v is speed. (Scalar — depends on speed, not direction.)
- Unit: joule (J). 1 J = 1 kg·m^2/s^2.
- Example: a 2 kg object moving at 3 m/s has KE = 1/2·2·3^2 = 9 J.
- Rotational analogue: for a rigid body rotating about an axis, KE = 1/2 I ω^2 (I = moment of inertia, ω = angular speed).
- Work–energy theorem: the net work done on an object equals its change in kinetic energy.
- Frame dependence: kinetic energy value depends on the reference frame (it differs for observers moving relative to each other).
- Relativistic case (speeds near light speed): KE = (γ − 1)mc^2, where γ = 1/√(1 − v^2/c^2).
If you want, I can show derivations, more examples, or how kinetic energy converts to other forms (e.g., potential energy, heat).
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