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.
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- 1.🏋️ A 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) less effort (d) the same effort
- 3.🏋️ A 13 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ Pushing a crate 2 m took 360 J of work. What force was used, in newtons?
- 5.🏋️ A force of 330 N did 3300 J of work. How many metres did the object move?
- 6.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) effort ÷ load (d) load + effort
- 7.🏋️ A force of 60 N did 60 J of work. How many metres did the object move?
- 8.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 10 N did 100 J of work. How many metres did the object move?
- 10.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 13.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 15.🏋️ 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?
- 16.🏋️ A 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ Pushing a crate 1 m took 460 J of work. What force was used, in newtons?
- 20.🏋️ Pushing a crate 2 m took 460 J of work. What force was used, in newtons?
- 21.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A force of 270 N did 540 J of work. How many metres did the object move?
- 23.🏋️ A force of 150 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 24.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 25.🏋️ A force of 420 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 26.🏋️ Pushing a crate 9 m took 1350 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 7 m took 1330 J of work. What force was used, in newtons?
- 28.🏋️ A force of 320 N did 2560 J of work. How many metres did the object move?
- 29.🏋️ A force of 260 N did 520 J of work. How many metres did the object move?
- 30.🏋️ Pushing a crate 1 m took 300 J of work. What force was used, in newtons?
- 31.🏋️ A force of 200 N did 800 J of work. How many metres did the object move?
- 32.🏋️ A force of 410 N did 3280 J of work. How many metres did the object move?
- 33.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 390 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 470 N did 940 J of work. How many metres did the object move?
- 36.🏋️ Pushing a crate 2 m took 160 J of work. What force was used, in newtons?
- 37.🏋️ 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?
- 38.🏋️ A force of 80 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 39.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 40.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
Answer key
- 200
- less effort
- 390
- 180
- 10
- load ÷ effort
- 1
- 2
- 10
- 20
- 450
- joule (J)
- 760
- through a distance
- 120
- 640
- 750
- 720
- 460
- 230
- 100
- 2
- 150
- no, work stays the same
- 4200
- 150
- 190
- 8
- 2
- 300
- 4
- 8
- 450
- 2730
- 2
- 80
- 800
- 720
- 2
- 3
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