Newton's Law of Restitution (Edexcel A-Level Further Mathematics): Quizzes

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Newton's Law of Restitution
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What does the coefficient of restitution ee equal?

speed of separationspeed of approach\frac{\text{speed of separation}}{\text{speed of approach}}

What is the valid range for the coefficient of restitution ee?

0≤e≤10 \leq e \leq 1

What happens in a perfectly elastic collision where e=1e = 1?

KE is conserved

What happens when the coefficient of restitution e=0e = 0?

Spheres stick together after collision

Which quantity is always conserved in a direct collision between two spheres?

Total momentum

Is kinetic energy generally conserved during a collision?

No, it is not generally conserved

When is the loss of kinetic energy maximum during a collision?

When e=0e = 0

For spheres AA and BB, what does Newton's law give as ee?

e=vB−vAuA−uBe = \frac{v_B - v_A}{u_A - u_B}

How is the loss of kinetic energy calculated?

ΔKE=KEinitial−KEfinal\Delta KE = KE_{\text{initial}} - KE_{\text{final}}

What do uAu_A and vAv_A represent in collision problems?

Initial and final velocities of sphere AA

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