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Formula for final velocity in constant acceleration
𝑣_𝑡 = 𝑣_0 + 𝑎𝑡
Formula for displacement in constant acceleration
𝑥_𝑡 = 𝑥_0 + 𝑣_0𝑡 + rac{1}{2}𝑎𝑡²
Acceleration definition
𝑎 = rac{∆𝑣}{∆𝑡}
Momentum formula
⃗ 𝑝 = 𝑚⃗ 𝑣
Gravitational acceleration value
𝑔 = 9.8 m/s²
Change in kinetic energy formula
∆𝑈 = 𝑚𝑔∆𝑦
Mechanical energy equation
E_mech = K + U
Isolated system
A system where momentum is conserved.
Kinetic energy equation
K ≡ rac{1}{2}𝑚𝑣²
Elastic collision
A collision where total kinetic energy is conserved.
Inelastic collision
A collision where total kinetic energy is not conserved.
Newton's cradle example
A demonstration of non-dissipative interactions.
Dissipative interactions
Interactions such as air resistance that cause energy loss.
Force conceptualization
An abstract concept that describes how objects interact.
Newton's Laws significance
Provide a fuller picture of motion and forces.
Transfer of momentum
Occurs at contact during collisions.
Potential energy types
Gravitational and elastic energy.
Conservation of mechanical energy statement
ΔE_mech = 0 for closed systems.