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 machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 340 N did 2380 J of work. How many metres did the object move?
- 3.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 4.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) metre (m) (d) watt hour
- 5.🏋️ A force of 140 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 6.🏋️ Pushing a crate 6 m took 2580 J of work. What force was used, in newtons?
- 7.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load + effort (d) load × effort
- 8.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 9.🏋️ Pushing a crate 2 m took 420 J of work. What force was used, in newtons?
- 10.🏋️ Pushing a crate 4 m took 360 J of work. What force was used, in newtons?
- 11.🏋️ Pushing a crate 5 m took 1850 J of work. What force was used, in newtons?
- 12.🏋️ Pushing a crate 7 m took 350 J of work. What force was used, in newtons?
- 13.🏋️ A force of 120 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 14.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 15.🏋️ A force of 420 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 16.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 10 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 300 N did 2400 J of work. How many metres did the object move?
- 19.🏋️ A force of 460 N did 4600 J of work. How many metres did the object move?
- 20.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 90 N did 180 J of work. How many metres did the object move?
- 23.🏋️ A force of 190 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 24.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 320 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 26.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 27.🏋️ Pushing a crate 9 m took 180 J of work. What force was used, in newtons?
- 28.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 280 N did 1680 J of work. How many metres did the object move?
- 30.🏋️ A force of 350 N did 700 J of work. How many metres did the object move?
- 31.🏋️ A 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A force of 70 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 33.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 34.🏋️ Pushing a crate 5 m took 800 J of work. What force was used, in newtons?
- 35.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2600 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) no, work stays the same (d) yes, by half
- 37.🏋️ A force of 250 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 80 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 39.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 40.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 5
- 7
- 4
- joule (J)
- 840
- 430
- load ÷ effort
- less effort
- 210
- 90
- 370
- 50
- 840
- through a distance
- 3360
- 4
- 30
- 8
- 10
- 650
- 5
- 2
- 380
- 2
- 2880
- 5
- 20
- 3
- 6
- 2
- 560
- 70
- 6
- 160
- 650
- no, work stays the same
- 1750
- 640
- 3
- 650
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