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 force of 110 N did 440 J of work. How many metres did the object move?
- 2.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) metre (m) (d) watt hour
- 4.🏋️ Pushing a crate 4 m took 360 J of work. What force was used, in newtons?
- 5.🏋️ Pushing a crate 3 m took 30 J of work. What force was used, in newtons?
- 6.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ 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?
- 8.🏋️ A force of 390 N did 3900 J of work. How many metres did the object move?
- 9.🏋️ 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?
- 10.🏋️ A force of 220 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 11.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) the same effort (d) more effort
- 12.🏋️ A force of 310 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 13.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 220 N did 1980 J of work. How many metres did the object move?
- 15.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 16.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ An 11 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ Pushing a crate 6 m took 1200 J of work. What force was used, in newtons?
- 19.🏋️ Pushing a crate 6 m took 60 J of work. What force was used, in newtons?
- 20.🏋️ A force of 60 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 10 N did 100 J of work. How many metres did the object move?
- 22.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 80 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 24.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 460 N did 2300 J of work. How many metres did the object move?
- 26.🏋️ A force of 470 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 260 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 28.🏋️ Pushing a crate 3 m took 450 J of work. What force was used, in newtons?
- 29.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 30.🏋️ A force of 260 N did 1820 J of work. How many metres did the object move?
- 31.🏋️ A force of 290 N did 2320 J of work. How many metres did the object move?
- 32.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A force of 390 N did 2730 J of work. How many metres did the object move?
- 34.🏋️ A force of 500 N did 3500 J of work. How many metres did the object move?
- 35.🏋️ Pushing a crate 6 m took 1320 J of work. What force was used, in newtons?
- 36.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 39.🏋️ Pushing a crate 2 m took 400 J of work. What force was used, in newtons?
- 40.🏋️ Pushing a crate 1 m took 420 J of work. What force was used, in newtons?
Answer key
- 4
- 350
- joule (J)
- 90
- 10
- 850
- 70
- 10
- 20
- 220
- less effort
- 2790
- 50
- 9
- 4
- 550
- 110
- 200
- 10
- 420
- 10
- 1000
- 400
- 150
- 5
- 1880
- 520
- 150
- load ÷ effort
- 7
- 8
- 100
- 7
- 7
- 220
- 200
- 450
- 6
- 200
- 420
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