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 machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 390 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 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) more effort (b) less effort (c) the same effort (d) no effort
- 5.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 6.🏋️ A force of 320 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 7.🏋️ Pushing a crate 2 m took 900 J of work. What force was used, in newtons?
- 8.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 9.🏋️ A 19 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A 5 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 force of 230 N did 460 J of work. How many metres did the object move?
- 12.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 13.🏋️ A force of 240 N did 1200 J of work. How many metres did the object move?
- 14.🏋️ A 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A 5 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ Pushing a crate 1 m took 390 J of work. What force was used, in newtons?
- 17.🏋️ Pushing a crate 8 m took 400 J of work. What force was used, in newtons?
- 18.🏋️ A force of 420 N did 2940 J of work. How many metres did the object move?
- 19.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 20.🏋️ 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
- 21.🏋️ A force of 140 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 350 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 220 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 9 m took 630 J of work. What force was used, in newtons?
- 25.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 280 N did 1120 J of work. How many metres did the object move?
- 28.🏋️ A 7 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A force of 10 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 30.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ Pushing a crate 1 m took 500 J of work. What force was used, in newtons?
- 32.🏋️ A force of 360 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 33.🏋️ Pushing a crate 10 m took 2000 J of work. What force was used, in newtons?
- 34.🏋️ A force of 70 N did 70 J of work. How many metres did the object move?
- 35.🏋️ A force of 160 N did 800 J of work. How many metres did the object move?
- 36.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 220 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 38.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A force of 380 N did 2660 J of work. How many metres did the object move?
- 40.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 4
- 3900
- load ÷ effort
- less effort
- joule (J)
- 2560
- 450
- 5
- 190
- 50
- 2
- through a distance
- 5
- 560
- 200
- 390
- 50
- 7
- 6
- no, work stays the same
- 280
- 1750
- 440
- 70
- 550
- 320
- 4
- 140
- 30
- 750
- 500
- 720
- 200
- 1
- 5
- 60
- 880
- 40
- 7
- 450
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