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 did 240 J of work. How many metres did the object move?
- 2.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 3.🏋️ Pushing a crate 10 m took 1400 J of work. What force was used, in newtons?
- 4.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) watt hour (d) newton (N)
- 6.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load × effort (d) load + effort
- 8.🏋️ 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?
- 9.🏋️ Pushing a crate 2 m took 200 J of work. What force was used, in newtons?
- 10.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) very slowly (d) only upwards
- 11.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 140 N did 840 J of work. How many metres did the object move?
- 13.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 14.🏋️ A force of 110 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 290 N did 870 J of work. How many metres did the object move?
- 16.🏋️ A force of 150 N did 1350 J of work. How many metres did the object move?
- 17.🏋️ Pushing a crate 3 m took 600 J of work. What force was used, in newtons?
- 18.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 400 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 20.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) no, work stays the same (d) yes, by half
- 21.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Pushing a crate 1 m took 180 J of work. What force was used, in newtons?
- 23.🏋️ Pushing a crate 2 m took 780 J of work. What force was used, in newtons?
- 24.🏋️ Pushing a crate 3 m took 780 J of work. What force was used, in newtons?
- 25.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A force of 210 N did 840 J of work. How many metres did the object move?
- 27.🏋️ A force of 30 N did 270 J of work. How many metres did the object move?
- 28.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 270 N did 1890 J of work. How many metres did the object move?
- 30.🏋️ A force of 130 N did 520 J of work. How many metres did the object move?
- 31.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 80 N did 800 J of work. How many metres did the object move?
- 33.🏋️ A force of 300 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 10 N did 30 J of work. How many metres did the object move?
- 35.🏋️ A force of 190 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 36.🏋️ A 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ 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?
- 38.🏋️ A force of 100 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 8 m took 2160 J of work. What force was used, in newtons?
- 40.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 1
- 6
- 140
- 550
- joule (J)
- 550
- load ÷ effort
- 540
- 100
- through a distance
- 300
- 6
- less effort
- 220
- 3
- 9
- 200
- 5
- 400
- no, work stays the same
- 100
- 180
- 390
- 260
- 300
- 4
- 9
- 6
- 7
- 4
- 6
- 10
- 2400
- 3
- 950
- 180
- 320
- 700
- 270
- 50
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