GCSE Further Maths – System of Forces
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Question 1 of 37
1. Question
A person of mass 56kg is in a lift with mass 288kg. The lift is accelerating upwards and the reaction force between the person and the lift is -218.4N. Work out the acceleration of the lift.
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Question 2 of 37
2. Question
A 12kg mass and a 2kg mass are connected by string on either side of a pulley. Work out the tension in the string.
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Question 3 of 37
3. Question
A person of mass 55kg is in a lift with mass 254kg. The lift is accelerating upwards and the reaction force between the person and the lift is -247.5N. Work out the acceleration of the lift.
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Question 4 of 37
4. Question
A 12kg mass and a smaller X kg mass are connected by string on either side of a pulley. Work out X if the acceleration is 2.6ms⁻²
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Question 5 of 37
5. Question
A person of mass 43kg is in a lift with mass 461kg. The lift is accelerating downwards and the reaction force between the person and the lift is 356.9N. Work out the acceleration of the lift.
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Question 6 of 37
6. Question
A car with mass 1519kg tows a trailer with mass 103kg. The car is accelerating at 5.8ms⁻², with 399N of air resitance. The trailer has 178N of air resitance. Work out the tension in the cable.
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Question 7 of 37
7. Question
A 14kg mass and a smaller X kg mass are connected by string on either side of a pulley. Work out X if the acceleration is 8.5ms⁻²
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Question 8 of 37
8. Question
A person of mass 59kg is in a lift with mass 500kg. The lift is accelerating upwards at 7.4ms⁻². Work out the tension in the cable.
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Question 9 of 37
9. Question
A car with mass 2781kg tows a trailer with mass 189kg. The car is accelerating at 9.5ms⁻², with 395N of air resitance. The trailer has 156N of air resitance. Work out the tension in the cable.
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Question 10 of 37
10. Question
A 14kg mass and a smaller X kg mass are connected by string on either side of a pulley. Work out X if the acceleration is 3.9ms⁻²
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Question 11 of 37
11. Question
A person of mass 34kg is in a lift with mass 427kg. The lift is accelerating downwards at 6.2ms⁻². Work out the tension in the cable.
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Question 12 of 37
12. Question
A car with mass 2206kg tows a trailer with mass 161kg. The car is accelerating at 6.3ms⁻², with 460N of air resitance. The trailer has 156N of air resitance. Work out the tension in the cable.
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Question 13 of 37
13. Question
A 18kg mass and a smaller X kg mass are connected by string on either side of a pulley. Work out X if the acceleration is 7.8ms⁻²
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Question 14 of 37
14. Question
A person of mass 72kg is in a lift with mass 293kg. The lift is accelerating downwards at 1.1ms⁻². Work out the tension in the cable.
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Question 15 of 37
15. Question
A car with mass 1005kg tows a trailer with mass 235kg. The car is accelerating at 3.1ms⁻², with 345N of air resitance. The trailer has 152N of air resitance. Work out the tension in the cable.
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Question 16 of 37
16. Question
A 1kg mass and a larger X kg mass are connected by string on either side of a pulley. Work out X if the tension in the string is 18.6N
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Question 17 of 37
17. Question
A person of mass 90kg is in a lift with mass 369kg. The lift is accelerating upwards at 6.8ms⁻². Work out the tension in the cable.
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Question 18 of 37
18. Question
A 4kg mass and a larger X kg mass are connected by string on either side of a pulley. Work out X if the tension in the string is 63.5N
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Question 19 of 37
19. Question
A person is in a lift with mass 388kg. The lift is accelerating upwards at 7.6ms⁻². Work out the mass of the person if the tension in the cable is -983.4N.
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Question 20 of 37
20. Question
A 1kg mass and a larger X kg mass are connected by string on either side of a pulley. Work out X if the tension in the string is 18.4N
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Question 21 of 37
21. Question
A person is in a lift with mass 276kg. The lift is accelerating downwards at 7.7ms⁻². Work out the mass of the person if the tension in the cable is 663.6N.
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Question 22 of 37
22. Question
A 7kg mass and a larger X kg mass are connected by string on either side of a pulley. Work out X if the tension in the string is 83.8N
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Question 23 of 37
23. Question
A person is in a lift with mass 389kg. The lift is accelerating upwards at 2.8ms⁻². Work out the mass of the person if the tension in the cable is -2996.0N.
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Question 24 of 37
24. Question
A person is in a lift with mass 440kg. The lift is accelerating downwards at 0.4ms⁻². Work out the mass of the person if the tension in the cable is 4794.0N.
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Question 25 of 37
25. Question
A 16kg mass and a 2kg mass are connected by string on either side of a pulley. Work out the acceleration of the masses.
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Question 26 of 37
26. Question
A car with mass 1423kg tows a trailer with mass 175kg. The car is accelerating at 4ms⁻², with 338N of air resitance. The trailer has 127N of air resitance. Work out the driving force of the car.
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Question 27 of 37
27. Question
A 19kg mass and a 9kg mass are connected by string on either side of a pulley. Work out the acceleration of the masses.
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Question 28 of 37
28. Question
A person of mass 82kg is in a lift with mass 332kg. The lift is accelerating downwards at 7.6ms⁻². Work out the reaction force between the person and the lift.
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Question 29 of 37
29. Question
A car with mass 1788kg tows a trailer with mass 293kg. The car is accelerating at 8ms⁻², with 371N of air resitance. The trailer has 117N of air resitance. Work out the driving force of the car.
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Question 30 of 37
30. Question
A 16kg mass and a 8kg mass are connected by string on either side of a pulley. Work out the acceleration of the masses.
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Question 31 of 37
31. Question
A person of mass 85kg is in a lift with mass 285kg. The lift is accelerating downwards at 5.1ms⁻². Work out the reaction force between the person and the lift.
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Question 32 of 37
32. Question
A car with mass 2400kg tows a trailer with mass 283kg. The car is accelerating at 4.5ms⁻², with 489N of air resitance. The trailer has 180N of air resitance. Work out the driving force of the car.
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Question 33 of 37
33. Question
A 13kg mass and a 7kg mass are connected by string on either side of a pulley. Work out the tension in the string.
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Question 34 of 37
34. Question
A person of mass 85kg is in a lift with mass 480kg. The lift is accelerating downwards at 4.5ms⁻². Work out the reaction force between the person and the lift.
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Question 35 of 37
35. Question
A 11kg mass and a 6kg mass are connected by string on either side of a pulley. Work out the tension in the string.
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Question 36 of 37
36. Question
A person of mass 42kg is in a lift with mass 355kg. The lift is accelerating downwards and the reaction force between the person and the lift is 344.4N. Work out the acceleration of the lift.
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Question 37 of 37
37. Question
A 14kg mass and a 6kg mass are connected by string on either side of a pulley. Work out the tension in the string.
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