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 6 m took 900 J of work. What force was used, in newtons?
- 2.🏋️ A force of 180 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 3.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 4.🏋️ A force of 150 N did 1500 J of work. How many metres did the object move?
- 5.🏋️ A force of 80 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 6.🏋️ A force of 300 N did 2100 J of work. How many metres did the object move?
- 7.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) without moving it (d) very slowly
- 8.🏋️ A force of 310 N did 1860 J of work. How many metres did the object move?
- 9.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 10.🏋️ A force of 140 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 11.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 100 N did 1000 J of work. How many metres did the object move?
- 13.🏋️ A 16 kg box is lifted straight up by 5 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 80 N did 240 J of work. How many metres did the object move?
- 16.🏋️ A force of 480 N did 4320 J of work. How many metres did the object move?
- 17.🏋️ A force of 70 N did 560 J of work. How many metres did the object move?
- 18.🏋️ Pushing a crate 2 m took 340 J of work. What force was used, in newtons?
- 19.🏋️ A force of 70 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 440 N did 440 J of work. How many metres did the object move?
- 21.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 22.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) yes, by half (d) only on Mondays
- 23.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 24.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 25.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 5000 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ Pushing a crate 1 m took 20 J of work. What force was used, in newtons?
- 28.🏋️ A force of 40 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 8 m took 400 J of work. What force was used, in newtons?
- 30.🏋️ An 11 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ Pushing a crate 4 m took 1000 J of work. What force was used, in newtons?
- 32.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 460 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 34.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 35.🏋️ Pushing a crate 2 m took 520 J of work. What force was used, in newtons?
- 36.🏋️ A force of 90 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 37.🏋️ Pushing a crate 3 m took 1020 J of work. What force was used, in newtons?
- 38.🏋️ A force of 130 N did 1300 J of work. How many metres did the object move?
- 39.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 40.🏋️ Pushing a crate 10 m took 300 J of work. What force was used, in newtons?
Answer key
- 150
- 1620
- joule (J)
- 10
- 640
- 7
- through a distance
- 6
- less effort
- 840
- 400
- 10
- 800
- 4
- 3
- 9
- 8
- 170
- 280
- 1
- 2
- no, work stays the same
- 3
- 2
- 1000
- 450
- 20
- 160
- 50
- 220
- 250
- 3
- 4600
- 4
- 260
- 180
- 340
- 10
- 2
- 30
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