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 13 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 3.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 4.🏋️ A force of 100 N did 700 J of work. How many metres did the object move?
- 5.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 6.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 8.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 9.🏋️ Pushing a crate 7 m took 140 J of work. What force was used, in newtons?
- 10.🏋️ A force of 250 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 11.🏋️ Pushing a crate 9 m took 720 J of work. What force was used, in newtons?
- 12.🏋️ 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?
- 13.🏋️ A force of 100 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 9 m took 4410 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 4 m took 1520 J of work. What force was used, in newtons?
- 16.🏋️ Pushing a crate 2 m took 540 J of work. What force was used, in newtons?
- 17.🏋️ A force of 380 N did 1140 J of work. How many metres did the object move?
- 18.🏋️ A force of 30 N did 150 J of work. How many metres did the object move?
- 19.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) less effort (d) more effort
- 20.🏋️ A force of 340 N did 2380 J of work. How many metres did the object move?
- 21.🏋️ A force of 50 N did 50 J of work. How many metres did the object move?
- 22.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load ÷ effort (d) load × effort
- 23.🏋️ Pushing a crate 8 m took 2480 J of work. What force was used, in newtons?
- 24.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 25.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 26.🏋️ A force of 270 N did 540 J of work. How many metres did the object move?
- 27.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 28.🏋️ Pushing a crate 9 m took 4500 J of work. What force was used, in newtons?
- 29.🏋️ A force of 240 N did 960 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 200 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 200 N did 600 J of work. How many metres did the object move?
- 32.🏋️ Pushing a crate 10 m took 1400 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 1 m took 380 J of work. What force was used, in newtons?
- 34.🏋️ Pushing a crate 7 m took 3500 J of work. What force was used, in newtons?
- 35.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 36.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 420 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 38.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ Pushing a crate 4 m took 1360 J of work. What force was used, in newtons?
- 40.🏋️ A force of 350 N did 2450 J of work. How many metres did the object move?
Answer key
- 650
- 2
- joule (J)
- 7
- 90
- 600
- 5
- 4
- 20
- 500
- 80
- 20
- 500
- 490
- 380
- 270
- 3
- 5
- less effort
- 7
- 1
- load ÷ effort
- 310
- no, work stays the same
- 3
- 2
- 2
- 500
- 4
- 100
- 3
- 140
- 380
- 500
- through a distance
- 6
- 3780
- 150
- 340
- 7
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