GCSE Further Maths – Forces – Primrose Kitten

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GCSE Further Maths – Forces

Last updated: 04/05/2020

Summer Start for A-Level Maths Vectors & Mechanics GCSE Further Maths – Forces

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Question 1 of 45

1. Question
The object is in equilibrium, resolve horizontally and vertically.
- $Resolve Horizontally: 50 + P - 20 = 0 Resolve Vertically: 70 + R - 40 = 0$
- $Resolve Horizontally: 50 + P + 20 = 0 Resolve Vertically: 70 + R + 40 = 0$
- $Resolve Horizontally: 70 + R - 40 = 0 Resolve Vertically: 50 + P - 20 = 0$
- $Resolve Horizontally: - 50 - P + 20 = 0 Resolve Vertically: - 70 - R - 40 = 0$
Correct

Incorrect
Question 2 of 45

2. Question
The object is in equilibrium, resolve horizontally and vertically.
- $Resolve Horizontally: 70 - F = 0 Resolve Vertically: 70 + R - 20 = 0$
- $Resolve Horizontally: 70 + F = 0 Resolve Vertically: 70 + R + 20 = 0$
- $Resolve Horizontally: - 70 + F = 0 Resolve Vertically: - 70 - R - 20 = 0$
- $Resolve Horizontally: 70 + R - 20 = 0 Resolve Vertically: 70 - F = 0$
Correct

Incorrect
Question 3 of 45

3. Question
The object is in equilibrium, resolve horizontally and vertically.
- $Resolve Horizontally: 70 + 80 - P = 0 Resolve Vertically: 50 - 80 - W = 0$
- $Resolve Horizontally: 70 + 80 + P = 0 Resolve Vertically: 50 + 80 + W = 0$
- $Resolve Horizontally: - 70 - 80 + P = 0 Resolve Vertically: - 50 - 80 - W = 0$
- $Resolve Horizontally: 50 - 80 - W = 0 Resolve Vertically: 70 + 80 - P = 0$
Correct

Incorrect
Question 4 of 45

4. Question
The object is in equilibrium, resolve horizontally and vertically.
- $Resolve Horizontally: 90 + F - 90 = 0 Resolve Vertically: 70 - W - 40 = 0$
- $Resolve Horizontally: 70 - W - 40 = 0 Resolve Vertically: 90 + F - 90 = 0$
- $Resolve Horizontally: 90 + F + 90 = 0 Resolve Vertically: 70 + W + 40 = 0$
- $Resolve Horizontally: - 90 - F + 90 = 0 Resolve Vertically: - 70 - W - 40 = 0$
Correct

Incorrect
Question 5 of 45

5. Question
The object is in equilibrium, resolve horizontally and vertically.
- $Resolve Horizontally: 20 + 60 - F = 0 Resolve Vertically: 80 - W - 70 = 0$
- $Resolve Horizontally: - 20 - 60 + F = 0 Resolve Vertically: - 80 - W - 70 = 0$
- $Resolve Horizontally: 20 + 60 + F = 0 Resolve Vertically: 80 + W + 70 = 0$
- $Resolve Horizontally: 80 - W - 70 = 0 Resolve Vertically: 20 + 60 - F = 0$
Correct

Incorrect
Question 6 of 45

6. Question
The object is in equilibrium, resolve horizontally and vertically.
- $Resolve Horizontally: 20 + 60 - F = 0 Resolve Vertically: 40 - 50 - W = 0$
- $Resolve Horizontally: - 20 - 60 + F = 0 Resolve Vertically: - 40 - 50 - W = 0$
- $Resolve Horizontally: 40 - 50 - W = 0 Resolve Vertically: 20 + 60 - F = 0$
- $Resolve Horizontally: 20 + 60 + F = 0 Resolve Vertically: 40 + 50 + W = 0$
Correct

Incorrect
Question 7 of 45

7. Question
The object is in equilibrium, resolve horizontally and vertically.
- $Resolve Horizontally: P - 60 = 0 Resolve Vertically: 30 + 50 - W = 0$
- $Resolve Horizontally: P + 60 = 0 Resolve Vertically: 30 + 50 + W = 0$
- $Resolve Horizontally: 30 + 50 - W = 0 Resolve Vertically: P - 60 = 0$
- $Resolve Horizontally: - P + 60 = 0 Resolve Vertically: - 30 - 50 - W = 0$
Correct

Incorrect
Question 8 of 45

8. Question
Find the values of the lettered forces.
- $F = 110 N, R = 0 N$
- $P = 120 N, R = 10 N$
- $P = 100 N, R = - 10 N$
- $P = 90 N, R = 100 N$
Correct

Incorrect
Question 9 of 45

9. Question
Find the values of the lettered forces.
- $P = 70 N, W = 110 N$
- $P = 60 N, W = 100 N$
- $P = 80 N, W = 120 N$
- $P = 90 N, W = 80 N$
Correct

Incorrect
Question 10 of 45

10. Question
Find the values of the lettered forces.
- $P = 70 N, W = 130 N$
- $P = 60 N, W = 120 N$
- $P = 80 N, W = 140 N$
- $P = 90 N, W = 80 N$
Correct

Incorrect
Question 11 of 45

11. Question
Find the values of the lettered forces.
- $P = 20 N, R = 20 N$
- $P = 0 N, R = 10 N$
- $P = 30 N, R = 30 N$
- $P = 40 N, R = 30 N$
Correct

Incorrect
Question 12 of 45

12. Question
Find the values of the lettered forces.
- $F = 90 N, W = 90 N$
- $F = 110 N, W = 100 N$
- $F = 70 N, W = 80 N$
- $F = 100 N, W = 100 N$
Correct

Incorrect
Question 13 of 45

13. Question
.Find the values of the lettered forces
- $P = 90 N, R = 90 N$
- $P = 100 N, R = 100 N$
- $P = 80 N, R = 80 N$
- $P = 70 N, R = 80 N$
Correct

Incorrect
Question 14 of 45

14. Question
Find the values of the lettered forces.
- $F = 30 N, W = 60 N$
- $F = 40 N, W = 70 N$
- $F = 10 N, W = 20 N$
- $F = 50 N, W = 40 N$
Correct

Incorrect
Question 15 of 45

15. Question
Find the values of the lettered forces.
- $F = 0 N, R = 110 N$
- $P = 10 N, R = 120 N$
- $P = - 20 N, R = - 10 N$
- $P = 20 N, R = 10 N$
Correct

Incorrect
Question 16 of 45

16. Question
Two forces act on an object:(-90i-50j)N and (70i+20j)N Find the magnitude and direction of the resultant force on the object.
- $Magnitude 36.1 N and Bearing 213.7 °$
- $Magnitude 32.8 N and Bearing 194.3 °$
- $Magnitude 39.7 N and Bearing 235.1 °$
- $Magnitude 24.0 N and Bearing 142.5 °$
Correct

Incorrect
Question 17 of 45

17. Question
Two forces act on an object:(-60i+60j)N and (-60i-50j)N Find the magnitude and direction of the resultant force on the object.
- $Magnitude 120 N and Bearing 274.8 °$
- $Magnitude 181 N and Bearing 412.1 °$
- $Magnitude 132 N and Bearing 302.2 °$
- $Magnitude 109 N and Bearing 249.8 °$
Correct

Incorrect
Question 18 of 45

18. Question
Two forces act on an object:(-80i-50j)N and (10i-40j)N Find the magnitude and direction of the resultant force on the object.
- $Magnitude 114 N and Bearing 217.9 °$
- $Magnitude 171 N and Bearing 326.8 °$
- $Magnitude 76.0 N and Bearing 145.2 °$
- $Magnitude 104 N and Bearing 198.1 °$
Correct

Incorrect
Question 19 of 45

19. Question
Two forces act on an object: (70/-60)N and (-90/-70) N Find the magnitude and direction of the resultant force on the object.
- $Magnitude 132 N and Bearing 188.7 °$
- $Magnitude 120 N and Bearing 171.6 °$
- $Magnitude 87.7 N and Bearing 125.8 °$
- $Magnitude 197 N and Bearing 283.1 °$
Correct

Incorrect
Question 20 of 45

20. Question
Two forces act on an object: (20/-50) N and (-70/30) N Find the magnitude and direction of the resultant force on the object.
- $Magnitude 53.9 N and Bearing 248.2 °$
- $Magnitude 49.0 N and Bearing 225.6 °$
- $Magnitude 35.9 N and Bearing 165.5 °$
- $Magnitude 80.8 N and Bearing 372.3 °$
Correct

Incorrect
Question 21 of 45

21. Question
Two forces act on an object: (-70/-10) N and (60/-20) N Find the magnitude and direction of the resultant force on the object.
- $Magnitude 31.6 N and Bearing 198.4 °$
- $Magnitude 21.1 N and Bearing 132.3 °$
- $Magnitude 34.8 N and Bearing 218.3 °$
- $Magnitude 47.4 N and Bearing 297.7 °$
Correct

Incorrect
Question 22 of 45

22. Question
Two forces act on an object: (-40/70) N and (-40/-40) N Find the magnitude and direction of the resultant force on the object.
- $Magnitude 85.4 N and Bearing 290.6 °$
- $Magnitude 128 N and Bearing 435.8 °$
- $Magnitude 77.7 N and Bearing 264.1 °$
- $Magnitude 94.0 N and Bearing 319.6 °$
Correct

Incorrect
Question 23 of 45

23. Question
Three forces act on an object (60i+50j)N,(-60i+60j) N and (70i – 30j) N Find the magnitude and direction of the resultant force on the object.
- $Magnitude 106 N and Bearing 041.2 °$
- $Magnitude 117 N and Bearing 45.3 °$
- $Magnitude 96.6 N and Bearing 37.4 °$
- $Magnitude 70.9 N and Bearing 27.5 °$
Correct

Incorrect
Question 24 of 45

24. Question
Three forces act on an object: (40i +0j) N,(70i -90j) N and (40i -20j )N Find the magnitude and direction of the resultant force on the object.
- $Magnitude 186 N and Bearing 126.3 °$
- $Magnitude 124 N and Bearing 84.2 °$
- $Magnitude 279 N and Bearing 189.4 °$
- $Magnitude 169 N and Bearing 114.8 °$
Correct

Incorrect
Question 25 of 45

25. Question
Three forces act on an object: (-20i-70j) N, (80i-90j) N and (70i+60j) N Find the magnitude and direction of the resultant force on the object.
- $Magnitude 164 N and Bearing 127.6 °$
- $Magnitude 246 N and Bearing 191.4 °$
- $Magnitude 180 N and Bearing 140.3 °$
- $Magnitude 109 N and Bearing 85.0 °$
Correct

Incorrect
Question 26 of 45

26. Question
Three forces act on an object: (-60i-20j) N, (50i+60j) N and (-80i+20j) N Find the magnitude and direction of the resultant force on the object.
- $Magnitude 108 N and Bearing 303.7 °$
- $Magnitude 98.3 N and Bearing 276.1 °$
- $Magnitude 162 N and Bearing 455.5 °$
- $Magnitude 72.1 N and Bearing 202.5 °$
Correct

Incorrect
Question 27 of 45

27. Question
Three forces act on an object: (70/-50) N, (70/50) N and (20/-90) N Find the magnitude and direction of the resultant force on the object.
- $Magnitude 184 N and Bearing 119.4 °$
- $Magnitude 275 N and Bearing 179.0 °$
- $Magnitude 122 N and Bearing 79.6 °$
- $Magnitude 167 N and Bearing 108.5 °$
Correct

Incorrect
Question 28 of 45

28. Question
Three forces act on an object: (-30/30) N, (60/-80) N and (90/20) N Find the magnitude and direction of the resultant force on the object.
- $Magnitude 124 N and Bearing 104.0 °$
- $Magnitude 112 N and Bearing 94.6 °$
- $Magnitude 136 N and Bearing 114.4 °$
- $Magnitude 82.5 N and Bearing 69.4 °$
Correct

Incorrect
Question 29 of 45

29. Question
Three forces act on an object: (-70/-20) N,(50/-90) N and (90/-20) N Find the magnitude and direction of the resultant force on the object.
- $Magnitude 148 N and Bearing 151.7 °$
- $Magnitude 221 N and Bearing 227.5 °$
- $Magnitude 134 N and Bearing 137.9 °$
- $Magnitude 162 N and Bearing 166.9 °$
Correct

Incorrect
Question 30 of 45

30. Question
Three forces act on an object: (80/-10) N, (-30/-10) N and (50/20) N Find the magnitude and direction of the resultant force on the object.
- $Magnitude 100 N and Bearing 090.0 °$
- $Magnitude 90.9 N and Bearing 81.8 °$
- $Magnitude 150 N and Bearing 135.0 °$
- $Magnitude 66.7 N and Bearing 60.0 °$
Correct

Incorrect
Question 31 of 45

31. Question
Find the magnitude and direction of the resultant force on the object.
- $Magnitude 20.0 N and Bearing 0.0 °$
- $Magnitude 22.0 N and Bearing 0.0 °$
- $Magnitude 30.0 N and Bearing 0.0 °$
- $Magnitude 18.2 N and Bearing 0.0 °$
Correct

Incorrect
Question 32 of 45

32. Question
Find the magnitude and direction of the resultant force on the object.
- $Magnitude 22.4 N and Bearing 333.4 °$
- $Magnitude 33.5 N and Bearing 500.2 °$
- $Magnitude 24.6 N and Bearing 366.8 °$
- $Magnitude 20.3 N and Bearing 303.1 °$
Correct

Incorrect
Question 33 of 45

33. Question
Find the magnitude and direction of the resultant force on the object.
- $Magnitude 10.0 N and Bearing 180.0 °$
- $Magnitude 6.67 N and Bearing 120.0 °$
- $Magnitude 9.09 N and Bearing 163.6 °$
- $Magnitude 15.0 N and Bearing 270.0 °$
Correct

Incorrect
Question 34 of 45

34. Question
Find the magnitude and direction of the resultant force on the object.
- $Magnitude 14.1 N and Bearing 225.0 °$
- $Magnitude 21.2 N and Bearing 337.5 °$
- $Magnitude 9.43 N and Bearing 150.0 °$
- $Magnitude 15.6 N and Bearing 247.5 °$
Correct

Incorrect
Question 35 of 45

35. Question
Find the magnitude and direction of the resultant force on the object.
- $Magnitude 40.0 N and Bearing 90.0 °$
- $Magnitude 44.0 N and Bearing 99.0 °$ #
- $Magnitude 36.4 N and Bearing 81.8 °$
- $Magnitude 60.0 N and Bearing 135.0 °$
Correct

Incorrect
Question 36 of 45

36. Question
Find the magnitude and direction of the resultant force on the object.
- $Magnitude 78.1 N and Bearing 230.2 °$
- $Magnitude 71.0 N and Bearing 209.3 °$
- $Magnitude 52.1 N and Bearing 153.5 °$
- $Magnitude 117 N and Bearing 345.3 °$
Correct

Incorrect
Question 37 of 45

37. Question
Find the magnitude and direction of the resultant force on the object.
- $Magnitude 30.0 N and Bearing 90.0 °$
- $Magnitude 45.0 N and Bearing 135.0 °$
- $Magnitude 27.3 N and Bearing 81.8 °$
- $Magnitude 33.0 N and Bearing 99.0 °$
Correct

Incorrect
Question 38 of 45

38. Question
Work out X and Y if the resultant force has magnitude 40.0N and bearing 270.0°
- $X = 20 N, Y = 80 N$
- $X = 20 N, Y = 90 N$
- $X = 10 N, Y = 80 N$
- $X = 10 N, Y = 90 N$
Correct

Incorrect
Question 39 of 45

39. Question
Work out X and Y if the resultant force has magnitude 40.0N and bearing 270.0°
- $X = 80 N, Y = 30 N$
- $X = 80 N, Y = 40 N$
- $X = 90 N, Y = 40 N$
- $X = 70 N, Y = 20 N$
Correct

Incorrect
Question 40 of 45

40. Question
Work out X and Y if the resultant force has magnitude 76.2N and bearing 293.2°
- $X = 90 N, Y = 70 N$
- $X = 80 N, Y = 80 N$
- $X = 100 N, Y = 80 N$
- $X = 100 N, Y = 70 N$
Correct

Incorrect
Question 41 of 45

41. Question
Work out X and Y if the resultant force has magnitude 31.6N and bearing 341.6°
- $X = 70 N, Y = 70 N$
- $X = 70 N, Y = 60 N$
- $X = 80 N, Y = 60 N$
- $X = 60 N, Y = 80 N$
Correct

Incorrect
Question 42 of 45

42. Question
Work out X and Y if the resultant force has magnitude 64.0N and bearing 128.7°
- $X = 10 N, Y = 10 N$
- $X = 20 N, Y = 0 N$
- $X = 0 N, Y = 0 N$
- $X = 10 N, Y = 0 N$
Correct

Incorrect
Question 43 of 45

43. Question
Work out X and Y if the resultant force has magnitude 63.2N and bearing 108.4°
- $X = 90 N, Y = 10 N$
- $X = 90 N, Y = 20 N$
- $X = 80 N, Y = 20 N$
- $X = 90 N, Y = 0 N$
Correct

Incorrect
Question 44 of 45

44. Question
Work out X and Y if the resultant force has magnitude 22.4N and bearing 243.4°
- $X = 80 N, Y = 70 N$
- $X = 70 N, Y = 60 N$
- $X = 70 N, Y = 80 N$
- $X = 90 N, Y = 70 N$
Correct

Incorrect
Question 45 of 45

45. Question
Work out X and Y if the resultant force has magnitude 14.1N and bearing 225.0°
- $X = 20 N, Y = 70 N$
- $X = 30 N, Y = 80 N$
- $X = 10 N, Y = 60 N$
- $X = 10 N, Y = 80 N$
Correct

Incorrect

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