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 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 2.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 3.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) effort ÷ load (d) load + effort
- 4.🏋️ A force of 470 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 230 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 6.🏋️ An 11 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ 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)
- 8.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 9.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2600 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A force of 60 N did 480 J of work. How many metres did the object move?
- 11.🏋️ Pushing a crate 8 m took 560 J of work. What force was used, in newtons?
- 12.🏋️ 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)
- 13.🏋️ A force of 210 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 14.🏋️ A machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 15.🏋️ A force of 250 N did 250 J of work. How many metres did the object move?
- 16.🏋️ A 2 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.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, always (d) yes, by half
- 18.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 90 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 440 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 21.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 22.🏋️ Pushing a crate 9 m took 2520 J of work. What force was used, in newtons?
- 23.🏋️ A force of 220 N did 880 J of work. How many metres did the object move?
- 24.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) the same effort (d) no effort
- 25.🏋️ A force of 140 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 26.🏋️ Pushing a crate 5 m took 1300 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 8 m took 160 J of work. What force was used, in newtons?
- 28.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 30.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A force of 100 N did 900 J of work. How many metres did the object move?
- 34.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ Pushing a crate 3 m took 930 J of work. What force was used, in newtons?
- 36.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 40 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 30 N did 240 J of work. How many metres did the object move?
- 39.🏋️ A force of 380 N did 3800 J of work. How many metres did the object move?
- 40.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
Answer key
- 2
- joule (J)
- load ÷ effort
- 4230
- 1610
- 330
- 250
- through a distance
- 650
- 8
- 70
- 450
- 840
- 5
- 1
- 80
- no, work stays the same
- 50
- 720
- 1760
- 2
- 280
- 4
- less effort
- 560
- 260
- 20
- 700
- 3
- 550
- 160
- 600
- 9
- 420
- 310
- 350
- 160
- 8
- 10
- 5
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