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.🏋️ Pushing a crate 9 m took 90 J of work. What force was used, in newtons?
- 2.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) without moving it (d) only upwards
- 3.🏋️ A force of 270 N did 540 J of work. How many metres did the object move?
- 4.🏋️ Pushing a crate 10 m took 4600 J of work. What force was used, in newtons?
- 5.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load ÷ effort (d) load × effort
- 6.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 7.🏋️ A force of 90 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 8.🏋️ A force of 20 N did 200 J of work. How many metres did the object move?
- 9.🏋️ 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
- 10.🏋️ Pushing a crate 4 m took 640 J of work. What force was used, in newtons?
- 11.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 430 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 13.🏋️ A 17 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A force of 100 N did 400 J of work. How many metres did the object move?
- 15.🏋️ A force of 390 N did 390 J of work. How many metres did the object move?
- 16.🏋️ A force of 310 N pushes a cart 8 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 2200 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 19.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 20.🏋️ A force of 40 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 90 N did 180 J of work. How many metres did the object move?
- 22.🏋️ A force of 120 N did 720 J of work. How many metres did the object move?
- 23.🏋️ A force of 130 N did 130 J of work. How many metres did the object move?
- 24.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 150 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 26.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 30 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 28.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 310 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 3 m took 570 J of work. What force was used, in newtons?
- 31.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 33.🏋️ Pushing a crate 2 m took 560 J of work. What force was used, in newtons?
- 34.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A force of 40 N did 120 J of work. How many metres did the object move?
- 36.🏋️ Pushing a crate 9 m took 630 J of work. What force was used, in newtons?
- 37.🏋️ A force of 440 N did 4400 J of work. How many metres did the object move?
- 38.🏋️ A force of 260 N did 1040 J of work. How many metres did the object move?
- 39.🏋️ A force of 180 N did 540 J of work. How many metres did the object move?
- 40.🏋️ A 10 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 10
- through a distance
- 2
- 460
- load ÷ effort
- 6
- 270
- 10
- no, work stays the same
- 160
- 300
- 860
- 340
- 4
- 1
- 2480
- 550
- joule (J)
- less effort
- 160
- 2
- 6
- 1
- 3
- 1350
- 6
- 150
- 350
- 620
- 190
- 700
- 2
- 280
- 360
- 3
- 70
- 10
- 4
- 3
- 300
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