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.
NameDateTime takenScore ___ / 40
- 1.🏋️ A force of 100 N did 300 J of work. How many metres did the object move?
- 2.🏋️ Pushing a crate 2 m took 280 J of work. What force was used, in newtons?
- 3.🏋️ Pushing a crate 1 m took 60 J of work. What force was used, in newtons?
- 4.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) effort ÷ load (d) load + effort
- 5.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 6.🏋️ Pushing a crate 6 m took 1740 J of work. What force was used, in newtons?
- 7.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Pushing a crate 2 m took 320 J of work. What force was used, in newtons?
- 9.🏋️ Pushing a crate 10 m took 700 J of work. What force was used, in newtons?
- 10.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 11.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ 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?
- 13.🏋️ A force of 200 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 420 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 15.🏋️ Pushing a crate 4 m took 80 J of work. What force was used, in newtons?
- 16.🏋️ A force of 250 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 420 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 1 m took 50 J of work. What force was used, in newtons?
- 19.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) newton (N) (d) watt hour
- 20.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 21.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 260 N did 1040 J of work. How many metres did the object move?
- 24.🏋️ 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
- 25.🏋️ A 20 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 7 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ Pushing a crate 9 m took 3600 J of work. What force was used, in newtons?
- 28.🏋️ Pushing a crate 7 m took 2730 J of work. What force was used, in newtons?
- 29.🏋️ A force of 330 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 3 m took 870 J of work. What force was used, in newtons?
- 31.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 220 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 33.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 34.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 35.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ Pushing a crate 6 m took 2220 J of work. What force was used, in newtons?
- 38.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 420 N pushes a cart 3 m along the floor. How much work is done, in joules?
Answer key
- 3
- 140
- 60
- load ÷ effort
- 3
- 290
- 450
- 160
- 70
- 2
- 750
- 510
- 200
- 420
- 20
- 500
- 2100
- 50
- joule (J)
- through a distance
- 150
- 3
- 4
- no, work stays the same
- 1000
- 280
- 400
- 390
- 2310
- 290
- 50
- 220
- less effort
- 5
- 280
- 650
- 370
- 150
- 3
- 1260
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