GCSE Further Maths – Inclined Planes
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Question 1 of 45
1. Question
A block of mass 66kg is released from rest on a smooth slope. The slope is inclined by 41°. Find the weight of the block.

Question 2 of 45
2. Question
A block of mass 55kg is released from rest on a smooth slope. The slope is inclined by 37°. Find the weight of the block.

Question 3 of 45
3. Question
A block of mass 26kg is released from rest on a smooth slope. The slope is inclined by 64°. Find the weight of the block.

Question 4 of 45
4. Question
A block of mass 28kg is released from rest on a smooth slope. The slope is inclined by 45°. Find the weight of the block.

Question 5 of 45
5. Question
A block of mass 37kg is released from rest on a smooth slope. The slope is inclined by 30°. Find the weight of the block.

Question 6 of 45
6. Question
A block of mass 50kg is released from rest on a smooth slope. The slope is inclined by 40°. Find the normal reaction force of the block

Question 7 of 45
7. Question
A block of mass 30kg is released from rest on a smooth slope. The slope is inclined by 58°. Find the normal reaction force of the block.

Question 8 of 45
8. Question
A block of mass 50kg is released from rest on a smooth slope. The slope is inclined by 28°. Find the normal reaction force of the block.

Question 9 of 45
9. Question
A block of mass 60kg is released from rest on a smooth slope. The slope is inclined by 64°. Find the normal reaction force of the block.

Question 10 of 45
10. Question
A block of mass 70kg is released from rest on a smooth slope. The slope is inclined by 39°. Find the normal reaction force of the block.

Question 11 of 45
11. Question
A block of mass 30kg is released from rest on a rough slope. The slope is inclined by 37° and the coefficient of friction is 0.5. Find the frictional force between the block and the slope.

Question 12 of 45
12. Question
A block of mass 60kg is released from rest on a rough slope. The slope is inclined by 27° and the coefficient of friction is 0.4. Find the frictional force between the block and the slope.

Question 13 of 45
13. Question
A block of mass 10kg is released from rest on a rough slope. The slope is inclined by 21° and the coefficient of friction is 0.2. Find the frictional force between the block and the slope.

Question 14 of 45
14. Question
A block of mass 70kg is released from rest on a rough slope. The slope is inclined by 26° and the coefficient of friction is 0.4. Find the frictional force between the block and the slope.

Question 15 of 45
15. Question
A block of mass 30kg is released from rest on a rough slope. The slope is inclined by 41° and the coefficient of friction is 0.1. Find the frictional force between the block and the slope.

Question 16 of 45
16. Question
A block of mass 20kg is released from rest on a smooth slope. The slope is inclined by 44°. Find the acceleration of the block.

Question 17 of 45
17. Question
A block of mass 80kg is released from rest on a smooth slope. The slope is inclined by 46°. Find the acceleration of the block.

Question 18 of 45
18. Question
A block of mass 50kg is released from rest on a smooth slope. The slope is inclined by 48°. Find the acceleration of the block.

Question 19 of 45
19. Question
A block of mass 90kg is released from rest on a smooth slope. The slope is inclined by 68°. Find the acceleration of the block.

Question 20 of 45
20. Question
A block of mass 40kg is released from rest on a smooth slope. The slope is inclined by 35°. Find the acceleration of the block.

Question 21 of 45
21. Question
A block of mass 40kg is released from rest on a smooth slope. The slope is inclined by 61°. Find the acceleration of the block.

Question 22 of 45
22. Question
A block of mass 70kg is released from rest on a smooth slope. The slope is inclined by 24°. Find the acceleration of the block.

Question 23 of 45
23. Question
A block of mass 70kg is released from rest on a smooth slope. The acceleration of the block is 4.45ms⁻²Find the slope’s angle of incline.

Question 24 of 45
24. Question
A block of mass 20kg is released from rest on a smooth slope. The acceleration of the block is 8.81ms⁻²Find the slope’s angle of incline.

Question 25 of 45
25. Question
A block of mass 70kg is released from rest on a smooth slope. The acceleration of the block is 8.95ms⁻²Find the slope’s angle of incline.

Question 26 of 45
26. Question
A block of mass 20kg is released from rest on a smooth slope. The acceleration of the block is 8.65ms⁻²Find the slope’s angle of incline.

Question 27 of 45
27. Question
A block of mass 20kg is released from rest on a smooth slope. The acceleration of the block is 6.93ms⁻²Find the slope’s angle of incline.

Question 28 of 45
28. Question
A block of mass 80kg is released from rest on a smooth slope. The acceleration of the block is 3.83ms⁻²Find the slope’s angle of incline.

Question 29 of 45
29. Question
A block of mass 50kg is released from rest on a smooth slope. The acceleration of the block is 8.95ms⁻²Find the slope’s angle of incline.

Question 30 of 45
30. Question
A block of mass 20kg is released from rest on a smooth slope. The acceleration of the block is 4.14ms⁻²Find the slope’s angle of incline

Question 31 of 45
31. Question
A block of mass 30kg is released from rest on a rough slope. The slope is inclined by 36° and the coefficient of friction is 0.4. Find the acceleration of the block.

Question 32 of 45
32. Question
A block of mass 60kg is released from rest on a rough slope. The slope is inclined by 29° and the coefficient of friction is 0.5. Find the acceleration of the block.

Question 33 of 45
33. Question
A block of mass 50kg is released from rest on a rough slope. The slope is inclined by 33° and the coefficient of friction is 0.2. Find the acceleration of the block.

Question 34 of 45
34. Question
A block of mass 50kg is released from rest on a rough slope. The slope is inclined by 60° and the coefficient of friction is 0.6. Find the acceleration of the block.

Question 35 of 45
35. Question
A block of mass 70kg is released from rest on a rough slope. The slope is inclined by 62° and the coefficient of friction is 0.3. Find the acceleration of the block.

Question 36 of 45
36. Question
A block of mass 80kg is released from rest on a rough slope. The slope is inclined by 65° and the coefficient of friction is 0.2. Find the acceleration of the block.

Question 37 of 45
37. Question
A block of mass 30kg is released from rest on a rough slope. The slope is inclined by 69° and the coefficient of friction is 0.7. Find the acceleration of the block.

Question 38 of 45
38. Question
A block of mass 20kg is released from rest on a rough slope. The slope is inclined by 47° and the acceleration of the block is 6.50ms⁻²Find the coefficient of friction of the slope.

Question 39 of 45
39. Question
A block of mass 70kg is released from rest on a rough slope. The slope is inclined by 57° and the acceleration of the block is 4.48ms⁻²Find the coefficient of friction of the slope.

Question 40 of 45
40. Question
A block of mass 80kg is released from rest on a rough slope. The slope is inclined by 20° and the acceleration of the block is 0.59ms⁻²Find the coefficient of friction of the slope.

Question 41 of 45
41. Question
A block of mass 10kg is released from rest on a rough slope. The slope is inclined by 52° and the acceleration of the block is 3.50ms⁻²Find the coefficient of friction of the slope.

Question 42 of 45
42. Question
A block of mass 40kg is released from rest on a rough slope. The slope is inclined by 25° and the acceleration of the block is 0.59ms⁻²Find the coefficient of friction of the slope.

Question 43 of 45
43. Question
A block of mass 30kg is released from rest on a rough slope. The slope is inclined by 30° and the acceleration of the block is 1.04ms⁻²Find the coefficient of friction of the slope.

Question 44 of 45
44. Question
A block of mass 50kg is released from rest on a rough slope. The slope is inclined by 42° and the acceleration of the block is 3.64ms⁻²Find the coefficient of friction of the slope.

Question 45 of 45
45. Question
A block of mass 60kg is released from rest on a rough slope. The slope is inclined by 66° and the acceleration of the block is 8.16ms⁻²Find the coefficient of friction of the slope.