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 3 m took 270 J of work. What force was used, in newtons?
- 2.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 3.🏋️ A force of 110 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 4.🏋️ An 8 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load + effort (d) load × effort
- 6.🏋️ A force of 10 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 7.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 8.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 9.🏋️ A force of 150 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 10.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 11.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 300 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 13.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 60 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 16.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A force of 230 N did 2300 J of work. How many metres did the object move?
- 18.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 20.🏋️ Pushing a crate 3 m took 660 J of work. What force was used, in newtons?
- 21.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 22.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A force of 160 N did 480 J of work. How many metres did the object move?
- 24.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, by half (d) yes, always
- 26.🏋️ Pushing a crate 2 m took 80 J of work. What force was used, in newtons?
- 27.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 380 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 390 N did 3120 J of work. How many metres did the object move?
- 30.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ 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?
- 33.🏋️ A force of 470 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 330 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 35.🏋️ An 18 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 30 N did 210 J of work. How many metres did the object move?
- 38.🏋️ Pushing a crate 2 m took 60 J of work. What force was used, in newtons?
- 39.🏋️ A force of 320 N did 960 J of work. How many metres did the object move?
- 40.🏋️ Pushing a crate 8 m took 1760 J of work. What force was used, in newtons?
Answer key
- 90
- 3
- 440
- 160
- load ÷ effort
- 80
- joule (J)
- less effort
- 150
- through a distance
- 2
- 900
- 400
- 300
- 6
- 450
- 10
- 240
- 4
- 220
- 3
- 40
- 3
- 750
- no, work stays the same
- 40
- 2
- 2660
- 8
- 700
- 150
- 60
- 3760
- 3300
- 540
- 350
- 7
- 30
- 3
- 220
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