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.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 2.🏋️ Pushing a crate 3 m took 120 J of work. What force was used, in newtons?
- 3.🏋️ A force of 430 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 4.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) less effort (d) the same effort
- 5.🏋️ A force of 100 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 6.🏋️ A force of 260 N did 780 J of work. How many metres did the object move?
- 7.🏋️ A force of 40 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 8.🏋️ A force of 200 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 100 N did 800 J of work. How many metres did the object move?
- 10.🏋️ A force of 300 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 11.🏋️ Pushing a crate 8 m took 3360 J of work. What force was used, in newtons?
- 12.🏋️ Pushing a crate 8 m took 720 J of work. What force was used, in newtons?
- 13.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 14.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 15.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 16.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) metre (m) (d) watt hour
- 17.🏋️ A force of 30 N did 60 J of work. How many metres did the object move?
- 18.🏋️ A 14 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ Pushing a crate 9 m took 810 J of work. What force was used, in newtons?
- 20.🏋️ A force of 500 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 1 m took 20 J of work. What force was used, in newtons?
- 22.🏋️ A force of 430 N did 1290 J of work. How many metres did the object move?
- 23.🏋️ A force of 390 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 180 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 330 N did 1650 J of work. How many metres did the object move?
- 26.🏋️ A force of 190 N did 190 J of work. How many metres did the object move?
- 27.🏋️ A force of 500 N did 4000 J of work. How many metres did the object move?
- 28.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 50 N did 50 J of work. How many metres did the object move?
- 30.🏋️ A 6 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.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 160 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 34.🏋️ A machine lifts a load of 450 N when you push with 90 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 140 N did 420 J of work. How many metres did the object move?
- 36.🏋️ A force of 40 N did 280 J of work. How many metres did the object move?
- 37.🏋️ A force of 310 N did 1550 J of work. How many metres did the object move?
- 38.🏋️ Pushing a crate 9 m took 2790 J of work. What force was used, in newtons?
- 39.🏋️ Pushing a crate 5 m took 1400 J of work. What force was used, in newtons?
- 40.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
Answer key
- no, work stays the same
- 40
- 430
- less effort
- 600
- 3
- 160
- 1200
- 8
- 900
- 420
- 90
- through a distance
- load ÷ effort
- 4
- joule (J)
- 2
- 700
- 90
- 500
- 20
- 3
- 1170
- 900
- 5
- 1
- 8
- 850
- 1
- 120
- 850
- 3
- 960
- 5
- 3
- 7
- 5
- 310
- 280
- 3
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