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Momentum, work, energy, power, centres of mass and circular motion

Mechanics · Lesson 6 of 6

Lesson 6 of 6

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Lesson 6 of 6 · Mechanics

Momentum, work, energy, power, centres of mass and circular motion

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By the end you’ll be able to

define and calculate linear momentum and impulse, and apply conservation of linear momentum to direct one-dimensional impacts and explosions of particles
distinguish between elastic and inelastic outcomes where required by the specification or question context, including use of conservation of momentum together with other stated conditions

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apply the principle of conservation of mechanical energy where appropriate, and use work-energy methods as an alternative to Newton’s second law in suitable problems

define and calculate power as the rate of doing work or energy transfer, including use of $P=\dfrac{W}{t}$ and, where appropriate, $P=Fv$ for motion in the line of action of the force

find the centre of mass of a system of particles in one or two dimensions and of simple uniform rods or laminae when required

apply the kinematics and dynamics of uniform circular motion, including speed $v$, angular speed $\omega$, radial acceleration $\dfrac{v^2}{r}$ and resultant radial force $\dfrac{mv^2}{r}$ directed towards the centre

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