Elasticity and Hooke's Law (Leaving Cert Physics): Flashcards

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Elasticity and Hooke's Law
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Elasticity

Property of objects returning to original shape after applied force is removed

Elastic limit

Boundary where objects become permanently deformed

Hooke's Law formula

F=kxF = kx

Spring constant (kk) meaning

Measures stiffness of spring (in N m⁻¹)

Large kk value indicates

Stiff spring, needs lot of force to stretch

Small kk value indicates

Spring stretches easily

Elastic potential energy formula

Ep=12kx2E_p = \frac{1}{2}kx^2

Work done stretching spring

W=12kx2W = \frac{1}{2}kx^2

If displacement doubles, energy changes by

Four times (energy ∝\propto displacement squared)

At equilibrium position: KE and PE states

KE is maximum, PE is zero

At turning points: KE and PE states

KE is zero, PE is maximum

Direction of restoring force relative to displacement

Opposite direction to displacement

Spring constant from force-extension graph

k=Fxk = \frac{F}{x} (gradient)

Extension caused by weight formula

x=mgkx = \frac{mg}{k}

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