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1 A a 2 c i c c E = F = f = f g h I i I k L m p N n p = P = P = Q = r R Ω = r s t T T u u v v V = V W = x λ ρ

2 s = vt v u = at F = ma W = mg p = F/A p = ρgh p = mv p p = Ft a = v 2 /r F = mv 2 /r F = kx E = 1 2 kx2 E = Pt E = Fs E = 1 2 mv2 E = mgh Q = mc T Q = ml Q = It V = IR P = IV P = V 2 /R = I 2 R E = Pt = IVt V V = N N f = 1/T v = f λ I = P/A = P/(4πr 2 ) n = c/v n 1 sin(i) = n 2 sin(r) sin(i c ) = 1/n P = 1/ f 1/v = 1/ f 1/u p V T = p V T E = mc 2 In the questions on these worksheets, take Gravitational field strength (g) as 10 N/kg Acceleration of a dropped object on Earth without air resistance (g) as 10 m/s 2 Speed of light (c) as m/s Other data will be given on each worksheet when you need it.

3 Isaac Physics Skills Mastering GCSE Physics

4

5 16 75% x / y

6

7 Traditional approach 500 Use with Flipped Lessons

8

9 Significant figures Combining quantities x = 2.31 y = xy = x Standard form Significant figures in standard form n.nnn 10 n 191 = = = Answers to questions 3

10 Contents Notes for the Student and the Teacher Acknowledgements Suggestions for use in lessons Using Isaac Physics with this book Uncertainty and Significant Figures i ii iii iv v 1 Skills 1 2 Mechanics 20 s t v t

11 3 Electricity 66 4 Energy 91 5 Waves and Optics 116

12 6 Nuclear Gas 172

13 Skills Quantity Unit name Unit symbol

14 Prefix Multiply By Quantity Equation Unit in terms of SI base units A = L 2 a = (v u)/t p = mv E = 1 2 mv2 E = mgh Q = It

15 / 46 Additional Units Questions = 300 g = = = = / (v = s/t) 1.0

16 number in standard form = mantissa power of ten

17 = = 10 4 = = = 10 3 = = = 10 2 = 2 10 = 10 = 10 1 = 1 1 = 10 0 = = 1/10 = 1/10 1 = 10 1 = = 1/100 = 1/10 2 = 10 2 = = 1/1000 = 1/10 3 = 10 3 = 3 Number Power of Ten Exponent = = =

18 Number Mantissa Power of 10 Standard Form / n ) ( ) ) ( ) ) ( ) ) ( )

19 a = b + c a b b c b b c c a c = b + c c a c = b b b = a c y x = 2 y + z y z z x z = 2 y y (x z)/2 = y g 5 g = h + j 5 g = (h + j)/5 g = (h + j) 2 /25

20 17 / 22 p = mv m M = Fd d Q = It I V/R = I R v = s/t s P/I = V P F = ma a v = f λ λ W = mg m ρ = m/v V E = mgh m P 1 V 1 = P 2 V 2 v 2 = u 2 + 2as sin(c) = 1/n V p /V s = N p /N s P 2 a n N s v E = 1 2 mv2 u = 0 t s = ut at2 sin(r) n = sin(i) sin(r) x 10(x + y) = 5(x y) λ t = k/λ r F = kq 1Q 2 r 2 T ( ) 2π 2 r = GM T r 2

21 Quantity Vector or Scalar?

22

23 / 26

24

25 Variable Variable type Variable Variable type 9 / 12

26 x y y = mx + c y y x x m c y y = mx + c y x R V I V = IR I = (1/R) V V x y

27 m = y 2 y 1 (21 7) 14 = = = 1.4 x 2 x 1 (15 5) 10 2 y = 5 x = 0 5 y = 7 x = 1 8 y = 0 x = 5 11 / 13

28 10 10 s t = = 13.2 Using a formula s t s/t k k = s/t s = kt = k = /k k = / = 7.0 /14 = = /k = 3.0/0.50 = 6.0 (E V I) E = kiv k = E/(IV) = 340 /( ) =

29 7.08 I = E/(kV) = 640/( ) = 7.53 = e e e e

30 Inverse Proportionality 10 t 1/v v v t / = k / k = / = /8 = = k / = /125 = = =

31 80/ / Ω / 20 Additional Proportionality Questions W = mg W m pv = kt p V p = mv p v F = k Q 1Q 2 r 2 F r T = T T T a = 4π 2 r f 2 a f 2

32 Mechanics = / [v = s/t] v s Distance (m) Time (s) Speed (m/s)

33 Average speed Total distance Total time / 23

34 Additional Speed, Distance and Time Questions c = 2πr

35 sin θ = cos θ = tan θ =

36 8 / t = 0

37 s t y x y x y y

38 14 / 18

39 3 3 = / a = (v u)/t u v = a t = = = = (v u)/t = (0 31 )/(6.8 ) = ( 31 )/ (6.8 ) =

40 (v u)/t = ( 4.0 )/(5.0 ) = Acceleration (m/s 2 ) Velocity (m/s) after s

41 Starting velocity (m/s) Final velocity (m/s) Time taken (s) Acceleration (m/s 2 ) = = / 31

42 v t y x x x +

43

44

45 14 / 18

46 =

47 /50 =

48 60 /6 = ( ) = ( ) / ( ) a = F/m ( ) = ( ) ( ) F = ma Resultant Force (N) Mass (kg) Acceleration (m/s 2 )

49 Force (N) Forwards Backwards Resultant Mass (kg) Acceleration (m/s 2 ) / 44 Additional Resultant Force and Acceleration on-line

50 f

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