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 pushes a cart 3 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 30 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 3.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load + effort (d) load × effort
- 4.🏋️ A force of 170 N did 170 J of work. How many metres did the object move?
- 5.🏋️ Pushing a crate 1 m took 300 J of work. What force was used, in newtons?
- 6.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ 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)
- 8.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 9.🏋️ Pushing a crate 10 m took 700 J of work. What force was used, in newtons?
- 10.🏋️ 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?
- 11.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) very slowly (d) only upwards
- 13.🏋️ Pushing a crate 4 m took 1000 J of work. What force was used, in newtons?
- 14.🏋️ A force of 330 N did 1320 J of work. How many metres did the object move?
- 15.🏋️ A force of 40 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 450 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 17.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ Pushing a crate 4 m took 1160 J of work. What force was used, in newtons?
- 19.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 20.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 22.🏋️ A force of 20 N did 120 J of work. How many metres did the object move?
- 23.🏋️ A force of 440 N did 1320 J of work. How many metres did the object move?
- 24.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 20 N did 200 J of work. How many metres did the object move?
- 26.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 430 N did 430 J of work. How many metres did the object move?
- 28.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) the same effort (d) no effort
- 29.🏋️ A force of 420 N did 840 J of work. How many metres did the object move?
- 30.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) no, work stays the same (d) only on Mondays
- 31.🏋️ A force of 320 N did 1600 J of work. How many metres did the object move?
- 32.🏋️ A force of 400 N did 800 J of work. How many metres did the object move?
- 33.🏋️ A force of 260 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 34.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 35.🏋️ Pushing a crate 1 m took 440 J of work. What force was used, in newtons?
- 36.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 37.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 38.🏋️ Pushing a crate 7 m took 1820 J of work. What force was used, in newtons?
- 39.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 470 N did 3290 J of work. How many metres did the object move?
Answer key
- 330
- 300
- load ÷ effort
- 1
- 300
- 600
- 500
- 2
- 70
- 20
- 700
- through a distance
- 250
- 4
- 80
- 900
- 100
- 290
- 6
- 750
- joule (J)
- 6
- 3
- 550
- 10
- 350
- 1
- less effort
- 2
- no, work stays the same
- 5
- 2
- 1560
- 2
- 440
- 3
- 5
- 260
- 550
- 7
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