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.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ Pushing a crate 1 m took 190 J of work. What force was used, in newtons?
- 3.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 410 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 5.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 500 N did 1500 J of work. How many metres did the object move?
- 7.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 8.🏋️ A force of 100 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 9.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 10.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 11.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 140 N did 980 J of work. How many metres did the object move?
- 13.🏋️ Pushing a crate 3 m took 630 J of work. What force was used, in newtons?
- 14.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 15.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 17.🏋️ Pushing a crate 5 m took 2400 J of work. What force was used, in newtons?
- 18.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) yes, always (d) only on Mondays
- 19.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 24.🏋️ Pushing a crate 1 m took 50 J of work. What force was used, in newtons?
- 25.🏋️ A force of 410 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 26.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 210 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 470 N did 2350 J of work. How many metres did the object move?
- 29.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 30.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 32.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 10 N did 70 J of work. How many metres did the object move?
- 34.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 300 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 36.🏋️ Pushing a crate 7 m took 840 J of work. What force was used, in newtons?
- 37.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 38.🏋️ Pushing a crate 5 m took 1800 J of work. What force was used, in newtons?
- 39.🏋️ A machine lifts a load of 600 N when you push with 150 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 250 N did 1500 J of work. How many metres did the object move?
Answer key
- 180
- 190
- 5
- 4100
- 6
- 3
- through a distance
- 600
- load ÷ effort
- 90
- 450
- 7
- 210
- less effort
- 50
- joule (J)
- 480
- no, work stays the same
- 120
- 700
- 250
- 700
- 4
- 50
- 2870
- 150
- 1680
- 5
- 3
- 900
- 5
- 3
- 7
- 4
- 900
- 120
- 6
- 360
- 4
- 6
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