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) only upwards (c) very slowly (d) through a distance
- 2.🏋️ A force of 500 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 3.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 4.🏋️ A force of 10 N did 70 J of work. How many metres did the object move?
- 5.🏋️ A 9 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 7.🏋️ A machine lifts a load of 600 N when you push with 150 N. What is its mechanical advantage (MA)?
- 8.🏋️ A force of 180 N did 1800 J of work. How many metres did the object move?
- 9.🏋️ A force of 150 N did 750 J of work. How many metres did the object move?
- 10.🏋️ 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?
- 11.🏋️ Pushing a crate 5 m took 1100 J of work. What force was used, in newtons?
- 12.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ Pushing a crate 8 m took 320 J of work. What force was used, in newtons?
- 15.🏋️ A force of 110 N did 990 J of work. How many metres did the object move?
- 16.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) the same effort (d) more effort
- 17.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 18.🏋️ Pushing a crate 6 m took 840 J of work. What force was used, in newtons?
- 19.🏋️ A force of 100 N did 1000 J of work. How many metres did the object move?
- 20.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 21.🏋️ Pushing a crate 9 m took 1350 J of work. What force was used, in newtons?
- 22.🏋️ A force of 440 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 480 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 24.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 470 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 26.🏋️ Pushing a crate 10 m took 1400 J of work. What force was used, in newtons?
- 27.🏋️ A 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A 6 kg box is lifted straight up by 1 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 1750 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 32.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 50 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 34.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 35.🏋️ A machine lifts a load of 840 N when you push with 140 N. What is its mechanical advantage (MA)?
- 36.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load + effort (d) load × effort
- 37.🏋️ A force of 70 N did 560 J of work. How many metres did the object move?
- 38.🏋️ A force of 60 N did 120 J of work. How many metres did the object move?
- 39.🏋️ Pushing a crate 4 m took 720 J of work. What force was used, in newtons?
- 40.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- through a distance
- 4000
- joule (J)
- 7
- 270
- no, work stays the same
- 4
- 10
- 5
- 510
- 220
- 400
- 650
- 40
- 9
- less effort
- 6
- 140
- 10
- 5
- 150
- 2640
- 4800
- 450
- 1410
- 140
- 500
- 600
- 60
- 350
- 3
- 4
- 50
- 3
- 6
- load ÷ effort
- 8
- 2
- 180
- 350
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