Course review

A.2 Forces and momentum

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Learning objective

A.2.1—Newton’s three laws of motion

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• Newton’s three laws of motion.

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Learning objective

A.2.2—Forces as interactions between bodies

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• Forces as interactions between bodies.

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Learning objective

A.2.3—Free-body diagrams

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• Forces acting on a body can be represented in a free-body diagram.

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Learning objective

A.2.4—Resultant force from diagrams

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• Free-body diagrams can be analysed to find the resultant force on a system.

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Learning objective

A.2.5—Contact forces

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• Contact forces include normal, friction, tension, elastic restoring force, viscous drag and buoyancy.

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Learning objective

A.2.6—Normal force

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• Normal force FN acts perpendicular to the contact surface.

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Learning objective

A.2.7—Frictional force

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• Friction acts parallel to contact. • Static: Ff <= μsFN; dynamic: Ff = μdFN.

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Learning objective

A.2.9—Hooke’s law restoring force

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• Elastic restoring force follows Hooke’s law: FH = -kx.

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Learning objective

A.2.10—Viscous drag

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• Viscous drag on a small sphere: Fd = 6πηrv, opposite motion. • η is fluid viscosity, r sphere radius, v speed through fluid.

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Learning objective

A.2.11—Buoyancy

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• Buoyancy from displaced fluid: Fb = ρVg.

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A.2.12—Field forces

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• Know field forces: gravitational, electric and magnetic.

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Learning objective

A.2.13—Weight

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• Weight is gravitational force: Fg = mg.

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Learning objective

A.2.16—Linear momentum conservation

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• Linear momentum p=mv is conserved unless a resultant external force acts.

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Learning objective

A.2.17—Impulse

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• Impulse from resultant external force: J = FΔt = Δp.

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Learning objective

A.2.18—Impulse-momentum change

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• The applied external impulse equals the change in momentum of the system.

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Learning objective

A.2.19—Newton’s second law forms

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• Use F=ma for constant mass; use F=Δp/Δt when mass changes.

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Learning objective

A.2.20—Elastic and inelastic collisions

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• Elastic and inelastic collisions of two bodies.

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Learning objective

A.2.22—Collision energy

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• Compare energy in elastic collisions, inelastic collisions and explosions.

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Learning objective

A.2.23—Centripetal acceleration

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• Centripetal acceleration is radial: a=v^2/r=ω^2r=4π^2r/T^2. • Direction is radially toward the centre of the circle.

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Learning objective

A.2.24—Centripetal force

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• Circular motion is caused by a centripetal force acting perpendicular to the velocity.

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Learning objective

A.2.25—Direction change in circular motion

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• A centripetal force causes the body to change direction even if its magnitude of velocity may remain constant.

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Learning objective

A.2.26—Angular and linear speed

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• Circular motion relation: v=2πr/T=ωr. • Use angular velocity ω and period T to link angular and linear descriptions.

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