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.
NameDateTime takenScore ___ / 40
- 1.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Pushing a crate 8 m took 3120 J of work. What force was used, in newtons?
- 3.🏋️ Pushing a crate 9 m took 2160 J of work. What force was used, in newtons?
- 4.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 5.🏋️ A force of 40 N did 320 J of work. How many metres did the object move?
- 6.🏋️ A force of 470 N did 2350 J of work. How many metres did the object move?
- 7.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 8.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ Pushing a crate 1 m took 20 J of work. What force was used, in newtons?
- 10.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 11.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
- 12.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) load + effort (d) effort ÷ load
- 14.🏋️ 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
- 15.🏋️ A force of 210 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 60 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 17.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 19.🏋️ Pushing a crate 2 m took 700 J of work. What force was used, in newtons?
- 20.🏋️ A force of 330 N did 660 J of work. How many metres did the object move?
- 21.🏋️ Pushing a crate 2 m took 140 J of work. What force was used, in newtons?
- 22.🏋️ A force of 230 N did 2070 J of work. How many metres did the object move?
- 23.🏋️ A force of 280 N did 1960 J of work. How many metres did the object move?
- 24.🏋️ Pushing a crate 10 m took 1600 J of work. What force was used, in newtons?
- 25.🏋️ A force of 250 N did 500 J of work. How many metres did the object move?
- 26.🏋️ A force of 370 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 50 N did 300 J of work. How many metres did the object move?
- 28.🏋️ A force of 260 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 30 N did 60 J of work. How many metres did the object move?
- 30.🏋️ A force of 470 N did 3760 J of work. How many metres did the object move?
- 31.🏋️ A force of 70 N did 280 J of work. How many metres did the object move?
- 32.🏋️ A force of 20 N did 140 J of work. How many metres did the object move?
- 33.🏋️ A force of 130 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 4 m took 1040 J of work. What force was used, in newtons?
- 35.🏋️ A force of 50 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 36.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 240 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 38.🏋️ Pushing a crate 5 m took 1550 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 1400 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 490 N did 3430 J of work. How many metres did the object move?
Answer key
- 550
- 390
- 240
- through a distance
- 8
- 5
- 5
- 50
- 20
- 2
- less effort
- 350
- load ÷ effort
- no, work stays the same
- 1050
- 420
- 1000
- joule (J)
- 350
- 2
- 70
- 9
- 7
- 160
- 2
- 370
- 6
- 260
- 2
- 8
- 4
- 7
- 260
- 260
- 400
- 4
- 2160
- 310
- 350
- 7
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