GCSE Further Maths – Dynamics – Primrose Kitten

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GCSE Further Maths – Dynamics

Last updated: 05/05/2020

CCEA GCSE Further Maths Mechanics GCSE Further Maths – Dynamics

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Question 1 of 45

1. Question
Calculate the acceleration of the forces acting on the object
- $a = (- 0.25 j) m s ⁻ ²$
- $a = (- 0.23 j) m s ⁻ ²$
- $a = (- 0.17 j) m s ⁻ ²$
- $a = (- 0.28 j) m s ⁻ ²$
Correct

Incorrect
Question 2 of 45

2. Question
Calculate the acceleration of the forces acting on the object
- $a = (- 1.50 j) m s ⁻ ²$
- $a = (- 2.25 j) m s ⁻ ²$
- $a = (- 1.00 j) m s ⁻ ²$
- $a = (- 1.36 j) m s ⁻ ²$
Correct

Incorrect
Question 3 of 45

3. Question
Calculate the acceleration of the forces acting on the object
- $a = (0.63 i) m s ⁻ ²$
- $a = (0.57 i) m s ⁻ ²$
- $a = (0.69 i) m s ⁻ ²$
- $a = (0.94 i) m s ⁻ ²$
Correct

Incorrect
Question 4 of 45

4. Question
Calculate the acceleration of the object
- $a = 0.17 m s ⁻ ²$
- $a = 0.15 m s ⁻ ²$
- $a = 0.11 m s ⁻ ²$
- $a = 0.18 m s ⁻ ²$
Correct

Incorrect
Question 5 of 45

5. Question
Calculate the acceleration of the object
- $a = 0.38 m s ⁻ ²$
- $a = 0.41 m s ⁻ ²$
- $a = 0.56 m s ⁻ ²$
- $a = 0.25 m s ⁻ ²$
Correct

Incorrect
Question 6 of 45

6. Question
Calculate the acceleration of the object
- $a = 0.50 m s ⁻ ²$
- $a = 0.45 m s ⁻ ²$
- $a = 0.75 m s ⁻ ²$
- $a = 0.55 m s ⁻ ²$
Correct

Incorrect
Question 7 of 45

7. Question
Calculate the acceleration of the object
- $a = 0.86 m s ⁻ ²$
- $a = 1.29 m s ⁻ ²$
- $a = 0.78 m s ⁻ ²$
- $a = 0.57 m s ⁻ ²$
Correct

Incorrect
Question 8 of 45

8. Question
Calculate the acceleration of the forces acting on the object
- $a = (0.75 i + 0.88 j) m s ⁻ ²$
- $a = (0.83 i + 0.96 j) m s ⁻ ²$
- $a = (0.68 i + 0.80 j) m s ⁻ ²$
- $a = (0.50 i + 0.58 j) m s ⁻ ²$
Correct

Incorrect
Question 9 of 45

9. Question
Calculate the acceleration of the forces acting on the object
- $a = (0.33 i + 0.33 j) m s ⁻ ²$
- $a = (0.30 i + 0.30 j) m s ⁻ ²$
- $a = (0.37 i + 0.37 j) m s ⁻ ²$
- $a = (0.50 i + 0.50 j) m s ⁻ ²$
Correct

Incorrect
Question 10 of 45

10. Question
Calculate the acceleration of the forces acting on the object
- $a = (0.50 i + 0.25 j) m s ⁻ ²$
- $a = (0.75 i + 0.38 j) m s ⁻ ²$
- $a = (0.55 i + 0.28 j) m s ⁻ ²$
- $a = (0.45 i + 0.23 j) m s ⁻ ²$
Correct

Incorrect
Question 11 of 45

11. Question
Calculate the acceleration of the forces acting on the object
- $a = (- 0.43 i + 0.71 j) m s ⁻ ²$
- $a = (- 0.64 i + 1.07 j) m s ⁻ ²$
- $a = (- 0.47 i + 0.79 j) m s ⁻ ²$
- $a = (- 0.29 i + 0.48 j) m s ⁻ ²$
Correct

Incorrect
Question 12 of 45

12. Question
Calculate the acceleration of the object
- $a = 6.71 m s ⁻ ²$
- $a = 7.38 m s ⁻ ²$
- $a = 5.37 m s ⁻ ²$
- $a = 4.47 m s ⁻ ²$
Correct

Incorrect
Question 13 of 45

13. Question
Calculate the acceleration of the object
- $a = 1.07 m s ⁻ ²$
- $a = 0.71 m s ⁻ ²$
- $a = 1.60 m s ⁻ ²$
- $a = 1.17 m s ⁻ ²$
Correct

Incorrect
Question 14 of 45

14. Question
Calculate the acceleration of the object
- $a = 0.53 m s ⁻ ²$
- $a = 0.42 m s ⁻ ²$
- $a = 0.58 m s ⁻ ²$
- $a = 0.79 m s ⁻ ²$
Correct

Incorrect
Question 15 of 45

15. Question
Calculate the acceleration of the object
- $a = 1.32 m s ⁻ ²$
- $a = 1.98 m s ⁻ ²$
- $a = 1.65 m s ⁻ ²$
- $a = 0.88 m s ⁻ ²$
Correct

Incorrect
Question 16 of 45

16. Question
Two forces act on an object: (-80i+20j) N and (-10i+60j)N Calculate the acceleration of the forces acting on an object of mass 70kg
- $a = (- 1.29 i + 1.14 j) m s ⁻ ²$
- $a = (- 0.86 i + 0.76 j) m s ⁻ ²$
- $a = (- 1.17 i + 1.04 j) m s ⁻ ²$
- $a = (- 1.41 i + 1.26 j) m s ⁻ ²$
Correct

Incorrect
Question 17 of 45

17. Question
Two forces act on an object: (-50i+50j)N and (-60i+60j) N Calculate the acceleration of the forces acting on an object of mass 30kg
- $a = (- 3.67 i + 0.33 j) m s ⁻ ²$
- $a = (- 2.44 i + 0.22 j) m s ⁻ ²$
- $a = (- 3.33 i + 0.30 j) m s ⁻ ²$
- $a = (- 5.50 i + 0.50 j) m s ⁻ ²$
Correct

Incorrect
Question 18 of 45

18. Question
Two forces act on an object: (-50i-40j) N and (80i-30j) N Calculate the acceleration of the forces acting on an object of mass 40kg
- $a = (0.75 i - 1.75 j) m s ⁻ ²$
- $a = (0.83 i - 1.93 j) m s ⁻ ²$
- $a = (0.50 i - 1.17 j) m s ⁻ ²$
- $a = (0.68 i - 1.59 j) m s ⁻ ²$
Correct

Incorrect
Question 19 of 45

19. Question
Two forces act on an object: (40i-50j) N and (-60i-60j) N Calculate the acceleration of an object of mass 70kg
- $a = 0.32 m s ⁻ ²$
- $a = 0.48 m s ⁻ ²$
- $a = 0.35 m s ⁻ ²$
- $a = 0.40 m s ⁻ ²$
Correct

Incorrect
Question 20 of 45

20. Question
Two forces act on an object: (20i-70j) N and (-50i-60j) N Calculate the acceleration of an object of mass 30kg
- $a = 1.05 m s ⁻ ²$
- $a = 1.58 m s ⁻ ²$
- $a = 0.96 m s ⁻ ²$
- $a = 0.70 m s ⁻ ²$
Correct

Incorrect
Question 21 of 45

21. Question
Two forces act on an object: (-20i-50j)N and (-30i-10j)N Calculate the acceleration of an object of mass 60kg
- $a = 1.07 m s ⁻ ²$
- $a = 1.60 m s ⁻ ²$
- $a = 0.71 m s ⁻ ²$
- $a = 0.85 m s ⁻ ²$
Correct

Incorrect
Question 22 of 45

22. Question
Two forces act on an object: (-10i-50j) N and (20i-60j) N Calculate the acceleration of an object of mass 20kg
- $a = 0.71 m s ⁻ ²$
- $a = 0.47 m s ⁻ ²$
- $a = 0.64 m s ⁻ ²$
- $a = 0.78 m s ⁻ ²$
Correct

Incorrect
Question 23 of 45

23. Question
Three forces act on an object: (-50i-10j) N,(70i-70j) N and (0i-30j) N Calculate the acceleration of the forces acting on an object of mass 90kg
- $a = (0.22 i - 0.56 j) m s ⁻ ²$
- $a = (0.24 i - 0.61 j) m s ⁻ ²$
- $a = (0.15 i - 0.37 j) m s ⁻ ²$
- $a = (0.33 i - 0.83 j) m s ⁻ ²$
Correct

Incorrect
Question 24 of 45

24. Question
Three forces act on an object: (50i+40j)N,(20i+90j)N and (0i+0j)N Calculate the acceleration of the forces acting on an object of mass 40kg
- $a = (1.75 i + 3.25 j) m s ⁻ ²$
- $a = (2.63 i + 4.88 j) m s ⁻ ²$
- $a = (1.59 i + 2.95 j) m s ⁻ ²$
- $a = (1.17 i + 2.17 j) m s ⁻ ²$
Correct

Incorrect
Question 25 of 45

25. Question
Three forces act on an object: (-50i-60j) N, (50i-30j)N and (50i-90j) N Calculate the acceleration of the forces acting on an object of mass 70kg
- $a = (0.71 i - 0.86 j) m s ⁻ ²$
- $a = (0.79 i - 0.94 j) m s ⁻ ²$
- $a = (1.07 i - 1.29 j) m s ⁻ ²$
- <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo stretchy="false">(</mo><mn>0.65</mn><mi>i</mi><mo>−</mo><mn>0.78</mn><mi>j</mi><mo stretchy="false">)</mo><mi>m</mi><mi>s</mi><mrow class="MJX-TeXAtom-ORD"><mo>⁻</mo></mrow><mrow class="MJX-TeXAtom-ORD"><mo>²</mo></mrow></math>
Correct

Incorrect
Question 26 of 45

26. Question
Three forces act on an object: (70i-60j) N,(50i-80j)N and (60i-50j) N Calculate the acceleration of the forces acting on an object of mass 90kg
- $a = (2.00 i - 0.33 j) m s ⁻ ²$
- $a = (3.00 i - 0.5 j) m s ⁻ ²$
- $a = (1.82 i - 0.3 j) m s ⁻ ²$
- $a = (2.20 i - 0.37 j) m s ⁻ ²$
Correct

Incorrect
Question 27 of 45

27. Question
Three forces act on an object: (-70i-50j) N,(50i-50j) N and (-90i-20j) N Calculate the acceleration of an object of mass 50kg
- $a = 2.72 m s ⁻ ²$
- $a = 4.08 m s ⁻ ²$
- $a = 2.47 m s ⁻ ²$
- $a = 1.81 m s ⁻ ²$
Correct

Incorrect
Question 28 of 45

28. Question
Three forces act on an object: (30i+30j) N, (0i+60j) N and (90i+30j) N Calculate the acceleration of an object of mass 60kg
- $a = 2.24 m s ⁻ ²$
- $a = 1.79 m s ⁻ ²$
- $a = 1.49 m s ⁻ ²$
- $a = 2.80 m s ⁻ ²$
Correct

Incorrect
Question 29 of 45

29. Question
Three forces act on an object: (70i+60j) N,(30i+50j)N and (50i+50j)N Calculate the acceleration of an object of mass 70kg
- $a = 3.13 m s ⁻ ²$
- $a = 4.70 m s ⁻ ²$
- $a = 3.92 m s ⁻ ²$
- $a = 3.45 m s ⁻ ²$
Correct

Incorrect
Question 30 of 45

30. Question
a=3.13ms⁻²”Three forces act on an object: (-50i-50j) N,(0i-30j) N and (0i-80j) N Calculate the acceleration of an object of mass 40kg
- $a = 4.19 m s ⁻ ²$
- $a = 5.24 m s ⁻ ²$
- $a = 3.35 m s ⁻ ²$
- $a = 4.61 m s ⁻ ²$
Correct

Incorrect
Question 31 of 45

31. Question
Work out X if the mass of the object is 70kg and the acceleration is (0.43i)ms⁻²
- $X = 20 N$
- $X = 10 N$
- $X = 30 N$
- $X = 0 N$
Correct

Incorrect
Question 32 of 45

32. Question
Work out X if the mass of the object is 70kg and the acceleration is (0.00i)ms⁻²
- $X = 50 N$
- $X = 40 N$
- $X = 60 N$
- $X = 30 N$
Correct

Incorrect
Question 33 of 45

33. Question
Work out X if the mass of the object is 80kg and the acceleration is (0.63i)ms⁻²
- $X = 90 N$
- $X = 100 N$
- $X = 80 N$
- $X = 70 N$
Correct

Incorrect
Question 34 of 45

34. Question
Work out X and Y if the mass of the object is 30kg and the acceleration is (0.67i-0.33j)ms⁻²
- $X = 30 N, Y = 20 N$
- $X = 30 N, Y = 10 N$
- $X = 40 N, Y = 20 N$
- $X = 40 N, Y = 30 N$
Correct

Incorrect
Question 35 of 45

35. Question
Work out X and Y if the mass of the object is 20kg and the acceleration is (-2.50i+0.50j)ms⁻²
- $X = 80 N, Y = 60 N$
- $X = 90 N, Y = 50 N$
- $X = 90 N, Y = 60 N$
- $X = 70 N, Y = 70 N$
Correct

Incorrect
Question 36 of 45

36. Question
Work out X and Y if the mass of the object is 90kg and the acceleration is (-0.22i+0.44j)ms⁻²
- $X = 50 N, Y = 80 N$
- $X = 50 N, Y = 70 N$
- $X = 40 N, Y = 90 N$
- $X = 50 N, Y = 90 N$
Correct

Incorrect
Question 37 of 45

37. Question
Work out X and Y if the mass of the object is 40kg and the acceleration is (1.00i-0.5j)ms⁻²
- $X = 70 N, Y = 30 N$
- $X = 80 N, Y = 20 N$
- $X = 80 N, Y = 40 N$
- $X = 70 N, Y = 20 N$
Correct

Incorrect
Question 38 of 45

38. Question
Work out the mass of the object with acceleration: (0.38i+0.88j)ms⁻²
- $M = 80 k g$
- $M = 70 k g$
- $M = 90 k g$
- $M = 100 k g$
Correct

Incorrect
Question 39 of 45

39. Question
Work out the mass of the object with acceleration: (-0.50i+2.00j)ms⁻²
- $M = 20 k g$
- $M = 0 k g$
- $M = 30 k g$
- $M = 40 k g$
Correct

Incorrect
Question 40 of 45

40. Question
Work out the mass of the object with acceleration: (1.50i+2.50j)ms⁻²
- $M = 20 k g$
- $M = 40 k g$
- $M = 10 k g$
- $M = 30 k g$
Correct

Incorrect
Question 41 of 45

41. Question
Work out the mass of the object with acceleration: (-1.00i-0.33j)ms⁻²
- $M = 30 k g$
- $M = 10 k g$
- $M = 20 k g$
- $M = 50 k g$
Correct

Incorrect
Question 42 of 45

42. Question
Work out the mass of the object with acceleration: 2.11ms⁻²
- $M = 30 k g$
- $M = 50 k g$
- $M = 40 k g$
- $M = 20 k g$
Correct

Incorrect
Question 43 of 45

43. Question
Work out the mass of the object with acceleration: 0.45ms⁻²
- $M = 70 k g$
- $M = 80 k g$
- $M = 50 k g$
- $M = 60 k g$
Correct

Incorrect
Question 44 of 45

44. Question
Work out the mass of the object with acceleration: 0.52ms⁻²
- $M = 70 k g$
- $M = 90 k g$
- $M = 50 k g$
- $M = 60 k g$
Correct

Incorrect
Question 45 of 45

45. Question
Work out the mass of the object with acceleration: 0.56ms⁻²
- $M = 40 k g$
- $M = 50 k g$
- $M = 30 k g$
- $M = 20 k g$
Correct

Incorrect

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