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 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?
- 2.🏋️ Pushing a crate 9 m took 2340 J of work. What force was used, in newtons?
- 3.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 4.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) more effort (d) less effort
- 5.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 370 N did 2960 J of work. How many metres did the object move?
- 7.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 8.🏋️ Pushing a crate 2 m took 800 J of work. What force was used, in newtons?
- 9.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 10.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 210 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 13.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 14.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 15.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 140 N did 1400 J of work. How many metres did the object move?
- 17.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A force of 30 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 21.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 130 N did 520 J of work. How many metres did the object move?
- 23.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 24.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 460 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 26.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 110 N did 770 J of work. How many metres did the object move?
- 28.🏋️ Pushing a crate 10 m took 500 J of work. What force was used, in newtons?
- 29.🏋️ A force of 310 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 9 m took 1260 J of work. What force was used, in newtons?
- 31.🏋️ A force of 150 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 120 N did 1080 J of work. How many metres did the object move?
- 33.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 34.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 36.🏋️ A force of 410 N did 2870 J of work. How many metres did the object move?
- 37.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 38.🏋️ Pushing a crate 4 m took 680 J of work. What force was used, in newtons?
- 39.🏋️ A force of 60 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 40.🏋️ Pushing a crate 6 m took 180 J of work. What force was used, in newtons?
Answer key
- 50
- 260
- load ÷ effort
- less effort
- 2
- 8
- 3
- 400
- no, work stays the same
- 1000
- 800
- 210
- through a distance
- 6
- 2
- 10
- 300
- 800
- 700
- 90
- 200
- 4
- 3
- 4
- 920
- 1000
- 7
- 50
- 2480
- 140
- 150
- 9
- 4
- 950
- 4
- 7
- 3
- 170
- 60
- 30
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