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 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 350 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 3.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ Pushing a crate 3 m took 330 J of work. What force was used, in newtons?
- 5.🏋️ Pushing a crate 5 m took 800 J of work. What force was used, in newtons?
- 6.🏋️ 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?
- 7.🏋️ A force of 470 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 8.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 10.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 11.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 12.🏋️ Pushing a crate 1 m took 50 J of work. What force was used, in newtons?
- 13.🏋️ A force of 90 N did 360 J of work. How many metres did the object move?
- 14.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) yes, by half (d) only on Mondays
- 15.🏋️ A force of 210 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 16.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A 9 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 2 m took 320 J of work. What force was used, in newtons?
- 19.🏋️ 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)
- 20.🏋️ Pushing a crate 2 m took 820 J of work. What force was used, in newtons?
- 21.🏋️ Pushing a crate 2 m took 540 J of work. What force was used, in newtons?
- 22.🏋️ A force of 120 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 23.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 24.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 310 N did 310 J of work. How many metres did the object move?
- 26.🏋️ Pushing a crate 4 m took 360 J of work. What force was used, in newtons?
- 27.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Pushing a crate 10 m took 2400 J of work. What force was used, in newtons?
- 29.🏋️ Pushing a crate 1 m took 300 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 600 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 210 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 50 N did 150 J of work. How many metres did the object move?
- 33.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) effort ÷ load (d) load + effort
- 34.🏋️ A 13 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ Pushing a crate 5 m took 1000 J of work. What force was used, in newtons?
- 36.🏋️ Pushing a crate 8 m took 1200 J of work. What force was used, in newtons?
- 37.🏋️ A force of 300 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 320 N did 1600 J of work. How many metres did the object move?
- 39.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A 19 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 3
- 1750
- 50
- 110
- 160
- 70
- 3290
- 100
- through a distance
- joule (J)
- less effort
- 50
- 4
- no, work stays the same
- 1680
- 800
- 90
- 160
- 200
- 410
- 270
- 1080
- 5
- 5
- 1
- 90
- 200
- 240
- 300
- 200
- 1470
- 3
- load ÷ effort
- 520
- 200
- 150
- 1800
- 5
- 1000
- 190
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