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 1 m took 90 J of work. What force was used, in newtons?
- 2.🏋️ Pushing a crate 2 m took 520 J of work. What force was used, in newtons?
- 3.🏋️ Pushing a crate 4 m took 200 J of work. What force was used, in newtons?
- 4.🏋️ 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?
- 5.🏋️ Pushing a crate 8 m took 2400 J of work. What force was used, in newtons?
- 6.🏋️ Pushing a crate 1 m took 210 J of work. What force was used, in newtons?
- 7.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 9.🏋️ A force of 250 N did 1000 J of work. How many metres did the object move?
- 10.🏋️ Pushing a crate 8 m took 2160 J of work. What force was used, in newtons?
- 11.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 12.🏋️ A force of 140 N did 420 J of work. How many metres did the object move?
- 13.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 290 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 15.🏋️ Pushing a crate 2 m took 1000 J of work. What force was used, in newtons?
- 16.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 40 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 230 N did 690 J of work. How many metres did the object move?
- 19.🏋️ A force of 270 N did 1620 J of work. How many metres did the object move?
- 20.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 21.🏋️ A force of 280 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 22.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 210 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 390 N did 2730 J of work. How many metres did the object move?
- 25.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ An 11 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ Pushing a crate 9 m took 2160 J of work. What force was used, in newtons?
- 28.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 20 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 120 N did 120 J of work. How many metres did the object move?
- 32.🏋️ A force of 80 N pushes a cart 10 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 150 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) watt hour (d) newton (N)
- 35.🏋️ A force of 460 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 36.🏋️ Pushing a crate 1 m took 290 J of work. What force was used, in newtons?
- 37.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 470 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 39.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) more effort (d) the same effort
Answer key
- 90
- 260
- 50
- 80
- 300
- 210
- 100
- no, work stays the same
- 4
- 270
- load ÷ effort
- 3
- 400
- 1450
- 500
- 5
- 280
- 3
- 6
- through a distance
- 560
- 850
- 420
- 7
- 400
- 220
- 240
- 800
- 750
- 60
- 1
- 800
- 50
- joule (J)
- 1380
- 290
- 700
- 1410
- 150
- less effort
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