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.🏋️ A force of 360 N did 2520 J of work. How many metres did the object move?
- 2.🏋️ 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?
- 3.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 5.🏋️ Pushing a crate 10 m took 1200 J of work. What force was used, in newtons?
- 6.🏋️ Pushing a crate 7 m took 980 J of work. What force was used, in newtons?
- 7.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 8.🏋️ Pushing a crate 10 m took 800 J of work. What force was used, in newtons?
- 9.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
- 11.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) yes, by half (d) only on Mondays
- 13.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 14.🏋️ Pushing a crate 9 m took 630 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 6 m took 780 J of work. What force was used, in newtons?
- 16.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 18.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 19.🏋️ A force of 30 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 20.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 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.🏋️ Pushing a crate 3 m took 270 J of work. What force was used, in newtons?
- 23.🏋️ A force of 30 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 24.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 60 N did 300 J of work. How many metres did the object move?
- 26.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 27.🏋️ A 17 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ Pushing a crate 1 m took 350 J of work. What force was used, in newtons?
- 29.🏋️ Pushing a crate 9 m took 1080 J of work. What force was used, in newtons?
- 30.🏋️ A machine lifts a load of 450 N when you push with 90 N. What is its mechanical advantage (MA)?
- 31.🏋️ Pushing a crate 1 m took 270 J of work. What force was used, in newtons?
- 32.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) newton (N) (d) metre (m)
- 33.🏋️ Pushing a crate 8 m took 3200 J of work. What force was used, in newtons?
- 34.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A force of 120 N did 480 J of work. How many metres did the object move?
- 36.🏋️ A force of 240 N did 2160 J of work. How many metres did the object move?
- 37.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 260 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 9 m took 4140 J of work. What force was used, in newtons?
- 40.🏋️ Pushing a crate 5 m took 1050 J of work. What force was used, in newtons?
Answer key
- 7
- 40
- 950
- 2
- 120
- 140
- 2
- 80
- 550
- less effort
- 750
- no, work stays the same
- load ÷ effort
- 70
- 130
- 350
- 3
- through a distance
- 180
- 3
- 120
- 90
- 300
- 2
- 5
- 3
- 510
- 350
- 120
- 5
- 270
- joule (J)
- 400
- 950
- 4
- 9
- 300
- 520
- 460
- 210
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