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.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) watt hour (d) newton (N)
- 2.🏋️ A 20 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, by half (d) yes, always
- 4.🏋️ Pushing a crate 7 m took 910 J of work. What force was used, in newtons?
- 5.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) through a distance (d) without moving it
- 6.🏋️ 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?
- 7.🏋️ A machine lifts a load of 650 N when you push with 130 N. What is its mechanical advantage (MA)?
- 8.🏋️ 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?
- 9.🏋️ A force of 50 N did 100 J of work. How many metres did the object move?
- 10.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 11.🏋️ A force of 280 N did 560 J of work. How many metres did the object move?
- 12.🏋️ 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?
- 13.🏋️ A force of 130 N did 390 J of work. How many metres did the object move?
- 14.🏋️ Pushing a crate 6 m took 60 J of work. What force was used, in newtons?
- 15.🏋️ A force of 340 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 16.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 330 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 18.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 400 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 20.🏋️ Pushing a crate 3 m took 120 J of work. What force was used, in newtons?
- 21.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 22.🏋️ A force of 320 N did 1920 J of work. How many metres did the object move?
- 23.🏋️ A force of 220 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 6 m took 2520 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 3 m took 750 J of work. What force was used, in newtons?
- 26.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 220 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 320 N did 1600 J of work. How many metres did the object move?
- 29.🏋️ A force of 460 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 180 N did 1440 J of work. How many metres did the object move?
- 31.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A force of 380 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 50 N did 350 J of work. How many metres did the object move?
- 34.🏋️ Pushing a crate 1 m took 330 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 5 m took 200 J of work. What force was used, in newtons?
- 36.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 140 N did 840 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 39.🏋️ Pushing a crate 2 m took 240 J of work. What force was used, in newtons?
- 40.🏋️ 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)
Answer key
- joule (J)
- 600
- no, work stays the same
- 130
- through a distance
- 50
- 5
- 90
- 2
- load ÷ effort
- 2
- 80
- 3
- 10
- 3060
- 100
- 330
- 3
- 3600
- 40
- less effort
- 6
- 1320
- 420
- 250
- 950
- 1100
- 5
- 3680
- 8
- 120
- 3420
- 7
- 330
- 40
- 6
- 6
- 2
- 120
- 400
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