Elastic Collisions in 1D (Edexcel A-Level Further Mathematics): Flashcards

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Newton's Law of Restitution
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Coefficient of restitution (ee)

Measures the elasticity of a collision

Newton's Law (word form)

e=speed of separationspeed of approache = \frac{\text{speed of separation}}{\text{speed of approach}}

Newton's Law with variables

e=vBvAuAuBe = \frac{v_B - v_A}{u_A - u_B}

Range of ee

0e10 \leq e \leq 1

e=1e = 1 collision type

Perfectly elastic collision

e=0e = 0 collision type

Perfectly inelastic collision

Momentum conservation formula

mAuA+mBuB=mAvA+mBvBm_A u_A + m_B u_B = m_A v_A + m_B v_B

Is KE conserved in collisions?

Not generally conserved (except when e=1e = 1)

Loss of KE formula

ΔKE=KEinitialKEfinal\Delta KE = KE_{\text{initial}} - KE_{\text{final}}

When is KE loss maximum?

When e=0e = 0 (perfectly inelastic collision)

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