Engineering Worksheet: Mechanical Advantage and Work
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.
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- 1.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
- 2.🏋️ Pushing a crate 2 m took 480 J of work. What force was used, in newtons?
- 3.🏋️ A force of 200 N did 600 J of work. How many metres did the object move?
- 4.🏋️ A 6 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A force of 490 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 6.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 8.🏋️ A force of 470 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 9.🏋️ An 8 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A force of 200 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 11.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 12.🏋️ Pushing a crate 3 m took 780 J of work. What force was used, in newtons?
- 13.🏋️ Pushing a crate 6 m took 780 J of work. What force was used, in newtons?
- 14.🏋️ Pushing a crate 10 m took 3400 J of work. What force was used, in newtons?
- 15.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) the same effort (d) more effort
- 16.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 17.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 18.🏋️ Pushing a crate 6 m took 1500 J of work. What force was used, in newtons?
- 19.🏋️ A force of 20 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 320 N did 1920 J of work. How many metres did the object move?
- 21.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 23.🏋️ Pushing a crate 2 m took 140 J of work. What force was used, in newtons?
- 24.🏋️ A 20 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ An 8 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A force of 330 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 27.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Pushing a crate 6 m took 1920 J of work. What force was used, in newtons?
- 29.🏋️ Pushing a crate 1 m took 440 J of work. What force was used, in newtons?
- 30.🏋️ A force of 330 N did 1320 J of work. How many metres did the object move?
- 31.🏋️ A force of 460 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 240 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 33.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 34.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 35.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 220 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 37.🏋️ An 18 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ Pushing a crate 3 m took 60 J of work. What force was used, in newtons?
- 39.🏋️ 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?
- 40.🏋️ Pushing a crate 5 m took 300 J of work. What force was used, in newtons?
Answer key
- no, work stays the same
- 240
- 3
- 180
- 3430
- 720
- load ÷ effort
- 940
- 320
- 1600
- 4
- 260
- 130
- 340
- less effort
- 3
- joule (J)
- 250
- 20
- 6
- 120
- 2
- 70
- 800
- 80
- 1320
- 450
- 320
- 440
- 4
- 4140
- 2160
- 3
- 3
- 500
- 440
- 540
- 20
- 480
- 60
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