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.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 2.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A force of 320 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 4.🏋️ A 2 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.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 6.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 7.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) newton (N) (d) watt hour
- 11.🏋️ A force of 320 N did 2880 J of work. How many metres did the object move?
- 12.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) less effort (d) the same effort
- 13.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 180 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 480 N when you push with 120 N. What is its mechanical advantage (MA)?
- 16.🏋️ A 17 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 280 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 18.🏋️ A 1 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ Pushing a crate 10 m took 2600 J of work. What force was used, in newtons?
- 20.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 21.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A force of 380 N did 760 J of work. How many metres did the object move?
- 23.🏋️ Pushing a crate 6 m took 2040 J of work. What force was used, in newtons?
- 24.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) no, work stays the same (d) yes, always
- 25.🏋️ Pushing a crate 3 m took 1080 J of work. What force was used, in newtons?
- 26.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ 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?
- 28.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ Pushing a crate 9 m took 540 J of work. What force was used, in newtons?
- 30.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 230 N did 1610 J of work. How many metres did the object move?
- 32.🏋️ A force of 390 N did 390 J of work. How many metres did the object move?
- 33.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 490 N did 2940 J of work. How many metres did the object move?
- 35.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 9 m took 1260 J of work. What force was used, in newtons?
- 37.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
Answer key
- 3
- 900
- 2880
- 40
- through a distance
- load ÷ effort
- 100
- 50
- 70
- joule (J)
- 9
- less effort
- 150
- 1260
- 4
- 510
- 2800
- 20
- 260
- 6
- 450
- 2
- 340
- no, work stays the same
- 360
- 350
- 800
- 700
- 60
- 150
- 7
- 1
- 5
- 6
- 6
- 140
- 650
- 400
- 200
- 5
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