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 240 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 2.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) no, work stays the same (d) only on Mondays
- 3.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
- 4.🏋️ A force of 160 N did 1280 J of work. How many metres did the object move?
- 5.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 480 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 7.🏋️ Pushing a crate 3 m took 870 J of work. What force was used, in newtons?
- 8.🏋️ A force of 160 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 9.🏋️ 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?
- 10.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 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.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
- 13.🏋️ A force of 130 N did 520 J of work. How many metres did the object move?
- 14.🏋️ A force of 120 N did 360 J of work. How many metres did the object move?
- 15.🏋️ A force of 480 N did 1440 J of work. How many metres did the object move?
- 16.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A force of 70 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 19.🏋️ Pushing a crate 9 m took 810 J of work. What force was used, in newtons?
- 20.🏋️ Pushing a crate 6 m took 1980 J of work. What force was used, in newtons?
- 21.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 22.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) effort ÷ load (d) load + effort
- 23.🏋️ A force of 380 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 5 m took 2400 J of work. What force was used, in newtons?
- 25.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 260 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 28.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 210 N did 420 J of work. How many metres did the object move?
- 31.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 200 N did 1000 J of work. How many metres did the object move?
- 33.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 34.🏋️ Pushing a crate 9 m took 1080 J of work. What force was used, in newtons?
- 35.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 36.🏋️ A force of 360 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 280 N did 2520 J of work. How many metres did the object move?
- 38.🏋️ Pushing a crate 9 m took 270 J of work. What force was used, in newtons?
- 39.🏋️ A force of 140 N did 700 J of work. How many metres did the object move?
- 40.🏋️ Pushing a crate 2 m took 220 J of work. What force was used, in newtons?
Answer key
- 720
- no, work stays the same
- through a distance
- 8
- 4
- 1440
- 290
- 1440
- 80
- 2
- 750
- less effort
- 4
- 3
- 3
- 350
- 300
- 700
- 90
- 330
- joule (J)
- load ÷ effort
- 3800
- 480
- 30
- 900
- 2600
- 70
- 3
- 2
- 4
- 5
- 3
- 120
- 4
- 2520
- 9
- 30
- 5
- 110
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