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.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 2.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) yes, always (d) only on Mondays
- 3.🏋️ A force of 150 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 80 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 5.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 6.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ Pushing a crate 3 m took 1200 J of work. What force was used, in newtons?
- 8.🏋️ A force of 410 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 9.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 350 N did 3150 J of work. How many metres did the object move?
- 11.🏋️ 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)
- 12.🏋️ A force of 80 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 20 N did 20 J of work. How many metres did the object move?
- 14.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 15.🏋️ A force of 10 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 16.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 18.🏋️ Pushing a crate 3 m took 960 J of work. What force was used, in newtons?
- 19.🏋️ Pushing a crate 7 m took 1260 J of work. What force was used, in newtons?
- 20.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 21.🏋️ Pushing a crate 4 m took 800 J of work. What force was used, in newtons?
- 22.🏋️ 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?
- 23.🏋️ Pushing a crate 10 m took 3400 J of work. What force was used, in newtons?
- 24.🏋️ A force of 140 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 25.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 26.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 27.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ Pushing a crate 5 m took 1550 J of work. What force was used, in newtons?
- 29.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) less effort (d) more effort
- 30.🏋️ Pushing a crate 8 m took 1040 J of work. What force was used, in newtons?
- 31.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 32.🏋️ Pushing a crate 5 m took 450 J of work. What force was used, in newtons?
- 33.🏋️ A force of 240 N did 1680 J of work. How many metres did the object move?
- 34.🏋️ 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)
- 35.🏋️ A 19 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ Pushing a crate 9 m took 4320 J of work. What force was used, in newtons?
- 37.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ Pushing a crate 2 m took 100 J of work. What force was used, in newtons?
- 39.🏋️ Pushing a crate 7 m took 1610 J of work. What force was used, in newtons?
- 40.🏋️ Pushing a crate 4 m took 200 J of work. What force was used, in newtons?
Answer key
- load ÷ effort
- no, work stays the same
- 1350
- 560
- through a distance
- 750
- 400
- 4100
- 3
- 9
- 650
- 640
- 1
- 4
- 80
- 150
- 3
- 320
- 180
- 2
- 200
- 280
- 340
- 280
- 3
- joule (J)
- 120
- 310
- less effort
- 130
- 5
- 90
- 7
- 350
- 190
- 480
- 450
- 50
- 230
- 50
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