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.🏋️ Pushing a crate 5 m took 1050 J of work. What force was used, in newtons?
- 2.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) less effort (d) more effort
- 3.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 4.🏋️ 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)
- 5.🏋️ Pushing a crate 1 m took 470 J of work. What force was used, in newtons?
- 6.🏋️ Pushing a crate 2 m took 240 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.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) only on Mondays (d) yes, by half
- 9.🏋️ A 20 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A force of 200 N did 800 J of work. How many metres did the object move?
- 11.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 12.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 60 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 14.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 370 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 16.🏋️ Pushing a crate 6 m took 2340 J of work. What force was used, in newtons?
- 17.🏋️ Pushing a crate 2 m took 80 J of work. What force was used, in newtons?
- 18.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 19.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 20.🏋️ Pushing a crate 6 m took 2520 J of work. What force was used, in newtons?
- 21.🏋️ A force of 490 N did 490 J of work. How many metres did the object move?
- 22.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 23.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 420 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 25.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 100 N did 600 J of work. How many metres did the object move?
- 28.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 29.🏋️ Pushing a crate 8 m took 1680 J of work. What force was used, in newtons?
- 30.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 31.🏋️ 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?
- 32.🏋️ A force of 320 N did 1280 J of work. How many metres did the object move?
- 33.🏋️ Pushing a crate 5 m took 1850 J of work. What force was used, in newtons?
- 34.🏋️ Pushing a crate 3 m took 1410 J of work. What force was used, in newtons?
- 35.🏋️ A 9 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.🏋️ An 18 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 38.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 10 N pushes a cart 8 m along the floor. How much work is done, in joules?
Answer key
- 210
- less effort
- 3
- 350
- 470
- 120
- load ÷ effort
- no, work stays the same
- 800
- 4
- through a distance
- 2
- 120
- 750
- 2220
- 390
- 40
- joule (J)
- 4
- 420
- 1
- 5
- 600
- 3360
- 400
- 400
- 6
- 4
- 210
- 3
- 90
- 4
- 370
- 470
- 90
- 540
- 2
- 300
- 600
- 80
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