To a physicist, mathematics is a toolbox

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Presentation transcript:

To a physicist, mathematics is a toolbox To a physicist, mathematics is a toolbox. Before attacking a particular problem, you should have the necessary tools for the job! Are your Maths tools sharp and good to go?

Maths Toolbox Algebra Calculator Right Angled Trigonometry Pythagoras Physics WoF Right Angled Trigonometry Calculator Pythagoras EXP button Maths Toolbox Estimation Exponents Fractions manipulations formulae Substitutions Rearrange Equations Solving Equations Algebra

Physics WoF Calculator EXP button Maths Toolbox

Calculation example: (2 × 103) × (3 × 105) = 6 × 108 Note! To enter a number like 1.5 × 1011 press 1.5 Exp 11 or 1.5 11 NOT 1.5 × 10 Exp 11

Look on Moodle for practice!

Physics WoF Calculator EXP button Maths Toolbox Estimation

Estimation - make it 1 sf ! 1.115 4𝟏2 (11.8𝟑𝟒) (5𝟑) = 𝟏𝟗.𝟗𝟔+ 𝟗.9015 2

Maths Toolbox Calculator EXP button Estimation formulae Substitutions Physics WoF Calculator EXP button Maths Toolbox Estimation formulae Substitutions

d = vit + ½ at2 calculate d when vi = 4 m s-1, t = 2 s, a = 9.8 m s-2 Substitution Substitute the values into the equation Calculate the answer to the correct significant figures Give the correct unit to your answer. d = vit + ½ at2 calculate d when vi = 4 m s-1, t = 2 s, a = 9.8 m s-2

Substitution Substitute the values into the equation Calculate the answer to the correct significant figures Give the correct unit to your answer. vf2 = vi2 + 2ad calculate vf when: vi = 3.0 m s-1, a = 9.8 m s-2, d = 15 m

Calculate F given

Look on Moodle for practice!

Maths Toolbox Calculator EXP button Estimation formulae Substitutions Physics WoF Calculator EXP button Maths Toolbox Estimation formulae Substitutions Rearrange Equations

Make the letter in brackets the subject of the equation. Equations Make the letter in brackets the subject of the equation.

Make the letter in brackets the subject of the equation. Equations Make the letter in brackets the subject of the equation. d = vit + ½ at2 (a) when vi = 0

Look on VLC for practice!

Maths Toolbox Algebra Calculator EXP button Estimation formulae Physics WoF Calculator EXP button Maths Toolbox Estimation formulae Substitutions Rearrange Equations Solving Equations Algebra

Look on Moodle for practice!

Maths Toolbox Algebra Calculator EXP button Estimation Fractions Physics WoF Calculator EXP button Maths Toolbox Estimation Fractions manipulations formulae Substitutions Rearrange Equations Solving Equations Algebra

upside down picnic table method Victoria eats ¼ of a pie and Laura eats 2/3 of a pie. a) What fraction do they eat altogether? b) What fraction of pie is left over?

Simplify where possible 1. 4. 2. 5. 3.

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Maths Toolbox Algebra Calculator EXP button Estimation Exponents Physics WoF Calculator EXP button Maths Toolbox Estimation Exponents Fractions manipulations formulae Substitutions Rearrange Equations Solving Equations Algebra

Y11 Algebra Review: Exponents / Indices

Maths Toolbox Algebra Calculator Pythagoras EXP button Estimation Physics WoF Calculator Pythagoras EXP button Maths Toolbox Estimation Exponents Fractions manipulations formulae Substitutions Rearrange Equations Solving Equations Algebra

5252 = 4502 + b2 73125 = b2 b = 270.42 b= 270 km

Maths Toolbox Algebra Calculator Right Angled Trigonometry Pythagoras Physics WoF Right Angled Trigonometry Calculator Pythagoras EXP button Maths Toolbox Estimation Exponents Fractions manipulations formulae Substitutions Rearrange Equations Solving Equations Algebra

First identify the sides of the triangle The longest side is called the… Hypotenuse. The side opposite is called the… Opposite. The remaining side is the… Adjacent HYP OPP θ ADJ

Right angled Trig Ratios HYP OPP θ ADJ SOHCAHTOA

SOHCAHTOA

SOHCAHTOA

Why would he not feel safe if the ladder angle is less than 70°? Joe buys a ladder which extends to 5.0 metres. However he would not feel safe if the angle of the ladder is less than 70 How far up the wall would the ladder extend at this angle of 70°? OPP Why would he not feel safe if the ladder angle is less than 70°? 70

Look on VLC for practice!