3.3 Optional application 1 – mechanics

3.3.1 MA: Dimensional analysis

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MA1Finding dimensions of quantities; checking for dimensional consistency.
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MA2Prediction of formulae; finding powers in potential formulae.

3.3.2 MB: Momentum and collisions

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MB1Conservation of momentum for linear motion and cases where velocities are given as one or two dimensional vectors (resolving will not be required).
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MB2Coefficient of restitution and Newton’s Experimental Law. Use in direct collisions and impacts with a fixed smooth surface (resolving will not be required).
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MB3

Impulse and its relation to momentum (in one- or two-dimensions) (resolving will not be required).

Use of Ft=mv-mu

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MB4Impulse for variable forces. One dimension only. Use of I=Fdt .

3.3.3 MC: Work, energy and power

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MC1Work done by a force acting in the direction of motion or directly opposing the motion.
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MC2Gravitational potential energy. Use in conservation of energy problems.
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MC3Kinetic energy. Use in conservation of energy problems.
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MC4

Hooke’s Law including using modulus of elasticity.

Use of T=kx or T=λlx

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MC5

Work done by a variable force. Use of WD=Fdx .

Use in conservation of energy problems.

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MC6

Elastic potential energy using modulus of elasticity. Use of EPE=kx22 and EPE=λx22l .

Use in conservation of energy problems.

3.3.4 MD: Circular motion

 Content
MD1

Motion of a particle moving in a circle with constant speed (knowledge of radians assumed).

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MD2

Understand the definition of angular speed.

Use both radians and revolutions per unit time.

 Content
MD3Relationships between speed, angular speed, radius and acceleration. Use of v=rω , a=rω2 and a=v2r