M2 Energy Demo

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Slide 1: 

Release 1.0 - 1st Jauary, 2010 Copyright © MathsCentric Limited 2007-10 1 Mechanics M2 Work, Energy and Power (Sample) Mechanics M2

Slide 2: 

Release 1.0 - 1st Jauary, 2010 Copyright © MathsCentric Limited 2007-10 2 The Work-Energy Principle Mechanics M2 The work - energy equation can be made more general by consider the effect of a force acting at an arbitrary angle to the horizontal, assume that our Bugatti look-a-like breaks down and has to be towed: θ° F F cosθ° Using Newton’s 2nd Law: R The Work Done term on the left now includes the work done to overcome any resistive forces and it is the net work done in the direction of motion that is equal to gain in kinetic energy of the car. Continued on next slide

Slide 3: 

Release 1.0 - 1st Jauary, 2010 Copyright © MathsCentric Limited 2007-10 3 The Work-Energy Principle Mechanics M2 Now the hapless driver has lost the towing- truck and is rolls down a hill. RH Continued on next slide α° mgsinα° mgcosα° α° mg The force “driving” the car down the hill is now the component of the car’s weight (mgsinα°) and the resistance to motion is RH. Using Newton’s 2nd Law: s m

Slide 4: 

Release 1.0 - 1st Jauary, 2010 Copyright © MathsCentric Limited 2007-10 4 The Work-Energy Principle Mechanics M2 To add a little realism, assume that m = 1800 kg, s = 100 m, u = 0 ms-1and v = 5 ms-1and α = 25°. Find the value of the resistance RH. RH 25° mgsinα° mgcosα° α° mg The force “driving” the car down the hill is now the component of the car’s weight (mgsinα°) and the resistance to motion is RH. Using Newton’s 2nd Law: 100 m

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