Engineering Worksheet: Mechanical Advantage and Work

Engineering lesson 15: Mechanical advantage and work · Set 831 · 40 questions

Engineer's tip (Less force, more distance): MA = load ÷ effort. Work (J) = force (N) × distance (m); force = work ÷ distance; distance = work ÷ force. Ideal ramp: MA = length ÷ height, effort = load ÷ MA.

1. 1.🏋️ Pushing a crate 3 m took 180 J of work. What force was used, in newtons?
2. 2.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
3. 3.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
4. 4.🏋️ A force of 490 N pushes a cart 7 m along the floor. How much work is done, in joules?
5. 5.🏋️ Pushing a crate 9 m took 3420 J of work. What force was used, in newtons?
6. 6.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
7. 7.🏋️ A 16 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
8. 8.🏋️ A force of 480 N did 2400 J of work. How many metres did the object move?
9. 9.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
10. 10.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
11. 11.🏋️ A force of 150 N did 150 J of work. How many metres did the object move?
12. 12.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) no, work stays the same (d) yes, always
13. 13.🏋️ Pushing a crate 6 m took 1260 J of work. What force was used, in newtons?
14. 14.🏋️ A force of 170 N pushes a cart 5 m along the floor. How much work is done, in joules?
15. 15.🏋️ A force of 310 N did 1860 J of work. How many metres did the object move?
16. 16.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
17. 17.🏋️ A force of 340 N pushes a cart 7 m along the floor. How much work is done, in joules?
18. 18.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) less effort (d) the same effort
19. 19.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load × effort (d) load + effort
20. 20.🏋️ Pushing a crate 2 m took 1000 J of work. What force was used, in newtons?
21. 21.🏋️ Pushing a crate 5 m took 300 J of work. What force was used, in newtons?
22. 22.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
23. 23.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
24. 24.🏋️ Pushing a crate 9 m took 900 J of work. What force was used, in newtons?
25. 25.🏋️ A force of 220 N pushes a cart 4 m along the floor. How much work is done, in joules?
26. 26.🏋️ A force of 110 N did 770 J of work. How many metres did the object move?
27. 27.🏋️ A force of 420 N pushes a cart 5 m along the floor. How much work is done, in joules?
28. 28.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
29. 29.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
30. 30.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
31. 31.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
32. 32.🏋️ Pushing a crate 4 m took 240 J of work. What force was used, in newtons?
33. 33.🏋️ Pushing a crate 6 m took 720 J of work. What force was used, in newtons?
34. 34.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
35. 35.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
36. 36.🏋️ Pushing a crate 4 m took 1480 J of work. What force was used, in newtons?
37. 37.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
38. 38.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
39. 39.🏋️ A force of 30 N pushes a cart 3 m along the floor. How much work is done, in joules?
40. 40.🏋️ Pushing a crate 2 m took 640 J of work. What force was used, in newtons?

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