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 390 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 2.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, by half (d) yes, always
- 3.🏋️ A force of 110 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 250 N did 2500 J of work. How many metres did the object move?
- 5.🏋️ A force of 140 N did 1120 J of work. How many metres did the object move?
- 6.🏋️ Pushing a crate 1 m took 320 J of work. What force was used, in newtons?
- 7.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A force of 100 N did 900 J of work. How many metres did the object move?
- 9.🏋️ Pushing a crate 9 m took 360 J of work. What force was used, in newtons?
- 10.🏋️ A force of 230 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 11.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 12.🏋️ Pushing a crate 2 m took 580 J of work. What force was used, in newtons?
- 13.🏋️ A force of 130 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 5 m took 750 J of work. What force was used, in newtons?
- 15.🏋️ A force of 210 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 60 N did 540 J of work. How many metres did the object move?
- 17.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 19.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 20.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 120 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 23.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
- 24.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) load + effort (d) effort ÷ load
- 25.🏋️ A force of 230 N did 1380 J of work. How many metres did the object move?
- 26.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 28.🏋️ Pushing a crate 5 m took 600 J of work. What force was used, in newtons?
- 29.🏋️ A force of 190 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 3 m took 150 J of work. What force was used, in newtons?
- 31.🏋️ Pushing a crate 5 m took 900 J of work. What force was used, in newtons?
- 32.🏋️ A force of 480 N did 3840 J of work. How many metres did the object move?
- 33.🏋️ A force of 90 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 34.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 36.🏋️ 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)
- 37.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ 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)
- 40.🏋️ A force of 440 N did 1320 J of work. How many metres did the object move?
Answer key
- 1560
- no, work stays the same
- 330
- 10
- 8
- 320
- 400
- 9
- 40
- 1150
- 2
- 290
- 1040
- 150
- 1470
- 9
- 100
- joule (J)
- through a distance
- 60
- 550
- 1200
- less effort
- load ÷ effort
- 6
- 20
- 2
- 120
- 190
- 50
- 180
- 8
- 540
- 700
- 2
- 100
- 100
- 100
- 350
- 3
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