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.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 2.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A force of 340 N did 2380 J of work. How many metres did the object move?
- 4.🏋️ A force of 180 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 5.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load + effort (d) load × effort
- 6.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
- 7.🏋️ A force of 400 N did 3600 J of work. How many metres did the object move?
- 8.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) no, work stays the same (d) yes, by half
- 9.🏋️ A force of 40 N did 120 J of work. How many metres did the object move?
- 10.🏋️ Pushing a crate 9 m took 1530 J of work. What force was used, in newtons?
- 11.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 12.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) watt hour (d) newton (N)
- 13.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 14.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 50 N did 500 J of work. How many metres did the object move?
- 16.🏋️ A 7 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A force of 440 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 3 m took 90 J of work. What force was used, in newtons?
- 19.🏋️ A force of 290 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 20.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 350 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 130 N did 260 J of work. How many metres did the object move?
- 24.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 200 N did 1400 J of work. How many metres did the object move?
- 26.🏋️ A force of 340 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 170 N did 1190 J of work. How many metres did the object move?
- 28.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ 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?
- 32.🏋️ Pushing a crate 9 m took 2250 J of work. What force was used, in newtons?
- 33.🏋️ 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?
- 34.🏋️ A force of 490 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 35.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 240 N did 1920 J of work. How many metres did the object move?
- 37.🏋️ 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)
- 38.🏋️ A force of 340 N did 1360 J of work. How many metres did the object move?
- 39.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 40.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- through a distance
- 550
- 7
- 540
- load ÷ effort
- less effort
- 9
- no, work stays the same
- 3
- 170
- 3
- joule (J)
- 3
- 200
- 10
- 210
- 2640
- 30
- 2320
- 300
- 2
- 350
- 2
- 250
- 7
- 340
- 7
- 550
- 80
- 800
- 150
- 250
- 340
- 980
- 50
- 8
- 850
- 4
- 2
- 130
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