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.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load × effort (d) load + effort
- 2.🏋️ Pushing a crate 1 m took 50 J of work. What force was used, in newtons?
- 3.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) very slowly (d) without moving it
- 4.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 5.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 330 N did 330 J of work. How many metres did the object move?
- 7.🏋️ A force of 240 N did 960 J of work. How many metres did the object move?
- 8.🏋️ A force of 270 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 9.🏋️ 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?
- 10.🏋️ A force of 250 N did 500 J of work. How many metres did the object move?
- 11.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
- 13.🏋️ Pushing a crate 4 m took 1440 J of work. What force was used, in newtons?
- 14.🏋️ Pushing a crate 6 m took 600 J of work. What force was used, in newtons?
- 15.🏋️ A 7 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 18.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 400 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 20.🏋️ Pushing a crate 8 m took 1920 J of work. What force was used, in newtons?
- 21.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ Pushing a crate 8 m took 3680 J of work. What force was used, in newtons?
- 24.🏋️ 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?
- 25.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ Pushing a crate 8 m took 800 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 5 m took 400 J of work. What force was used, in newtons?
- 28.🏋️ A force of 260 N did 260 J of work. How many metres did the object move?
- 29.🏋️ A 4 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.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) metre (m) (d) joule (J)
- 31.🏋️ A force of 480 N did 4320 J of work. How many metres did the object move?
- 32.🏋️ Pushing a crate 6 m took 1440 J of work. What force was used, in newtons?
- 33.🏋️ A force of 370 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 34.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 35.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 36.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ 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?
- 39.🏋️ Pushing a crate 9 m took 3690 J of work. What force was used, in newtons?
- 40.🏋️ A force of 30 N did 30 J of work. How many metres did the object move?
Answer key
- load ÷ effort
- 50
- through a distance
- 90
- 5
- 1
- 4
- 540
- 600
- 2
- 500
- less effort
- 360
- 100
- 280
- 380
- 2
- 4
- 400
- 240
- 250
- 360
- 460
- 900
- 950
- 100
- 80
- 1
- 40
- joule (J)
- 9
- 240
- 1850
- 4
- 2
- 500
- 40
- 350
- 410
- 1
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