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.🏋️ Pushing a crate 2 m took 200 J of work. What force was used, in newtons?
- 2.🏋️ Pushing a crate 3 m took 810 J of work. What force was used, in newtons?
- 3.🏋️ A force of 220 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 4.🏋️ Pushing a crate 2 m took 320 J of work. What force was used, in newtons?
- 5.🏋️ A force of 340 N did 1360 J of work. How many metres did the object move?
- 6.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A force of 260 N did 520 J of work. How many metres did the object move?
- 8.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load × effort (d) load + effort
- 9.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 10.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 50 N did 50 J of work. How many metres did the object move?
- 12.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 210 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 14.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 20 N did 140 J of work. How many metres did the object move?
- 17.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 18.🏋️ A force of 280 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 19.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 5000 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 21.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 22.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ Pushing a crate 3 m took 1200 J of work. What force was used, in newtons?
- 26.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 27.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 29.🏋️ Pushing a crate 6 m took 2340 J of work. What force was used, in newtons?
- 30.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) yes, by half (d) only on Mondays
- 31.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 140 N did 1260 J of work. How many metres did the object move?
- 33.🏋️ A force of 430 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 34.🏋️ A 17 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A 15 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.🏋️ A force of 310 N did 2480 J of work. How many metres did the object move?
- 37.🏋️ A force of 70 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 38.🏋️ Pushing a crate 6 m took 2460 J of work. What force was used, in newtons?
- 39.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ Pushing a crate 4 m took 960 J of work. What force was used, in newtons?
Answer key
- 100
- 270
- 2200
- 160
- 4
- 100
- 2
- load ÷ effort
- less effort
- 5
- 1
- 5
- 2100
- 90
- 3
- 7
- through a distance
- 2800
- 1000
- 4
- joule (J)
- 360
- 400
- 200
- 400
- 5
- 350
- 3
- 390
- no, work stays the same
- 800
- 9
- 860
- 340
- 150
- 8
- 560
- 410
- 80
- 240
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