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.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 2.🏋️ Pushing a crate 8 m took 2960 J of work. What force was used, in newtons?
- 3.🏋️ Pushing a crate 1 m took 340 J of work. What force was used, in newtons?
- 4.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) joule (J) (d) newton (N)
- 5.🏋️ A force of 180 N did 540 J of work. How many metres did the object move?
- 6.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 7.🏋️ A force of 160 N did 320 J of work. How many metres did the object move?
- 8.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 11.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 12.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 10 N did 60 J of work. How many metres did the object move?
- 14.🏋️ A force of 260 N did 1040 J of work. How many metres did the object move?
- 15.🏋️ A force of 70 N did 140 J of work. How many metres did the object move?
- 16.🏋️ Pushing a crate 7 m took 2030 J of work. What force was used, in newtons?
- 17.🏋️ A force of 450 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 18.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 19.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 20.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 23.🏋️ Pushing a crate 10 m took 1400 J of work. What force was used, in newtons?
- 24.🏋️ Pushing a crate 2 m took 660 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 4 m took 720 J of work. What force was used, in newtons?
- 26.🏋️ A force of 70 N did 350 J of work. How many metres did the object move?
- 27.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ Pushing a crate 1 m took 140 J of work. What force was used, in newtons?
- 29.🏋️ A force of 250 N did 1500 J of work. How many metres did the object move?
- 30.🏋️ A force of 430 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 70 N did 700 J of work. How many metres did the object move?
- 32.🏋️ A force of 10 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 33.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) effort ÷ load (d) load + effort
- 35.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ Pushing a crate 5 m took 700 J of work. What force was used, in newtons?
- 37.🏋️ A force of 370 N did 3700 J of work. How many metres did the object move?
- 38.🏋️ Pushing a crate 6 m took 1560 J of work. What force was used, in newtons?
- 39.🏋️ Pushing a crate 10 m took 3300 J of work. What force was used, in newtons?
- 40.🏋️ Pushing a crate 5 m took 1200 J of work. What force was used, in newtons?
Answer key
- no, work stays the same
- 370
- 340
- joule (J)
- 3
- through a distance
- 2
- 950
- 950
- 4
- 3
- 6
- 6
- 4
- 2
- 290
- 4500
- 2
- less effort
- 300
- 120
- 4
- 140
- 330
- 180
- 5
- 160
- 140
- 6
- 2150
- 10
- 20
- 250
- load ÷ effort
- 800
- 140
- 10
- 260
- 330
- 240
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