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.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 2.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ Pushing a crate 3 m took 540 J of work. What force was used, in newtons?
- 5.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A force of 250 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 7.🏋️ 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?
- 8.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 90 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 11.🏋️ Pushing a crate 7 m took 2870 J of work. What force was used, in newtons?
- 12.🏋️ Pushing a crate 5 m took 1400 J of work. What force was used, in newtons?
- 13.🏋️ A force of 410 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 14.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 15.🏋️ A force of 230 N did 460 J of work. How many metres did the object move?
- 16.🏋️ Pushing a crate 8 m took 3840 J of work. What force was used, in newtons?
- 17.🏋️ Pushing a crate 6 m took 2460 J of work. What force was used, in newtons?
- 18.🏋️ Pushing a crate 4 m took 1560 J of work. What force was used, in newtons?
- 19.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 20.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 22.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 23.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) very slowly (d) only upwards
- 25.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) no, work stays the same (d) yes, by half
- 26.🏋️ A force of 300 N did 300 J of work. How many metres did the object move?
- 27.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 28.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load × effort (d) load + effort
- 29.🏋️ A force of 440 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 30.🏋️ 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?
- 31.🏋️ A force of 390 N did 1170 J of work. How many metres did the object move?
- 32.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 34.🏋️ Pushing a crate 8 m took 2480 J of work. What force was used, in newtons?
- 35.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 37.🏋️ Pushing a crate 3 m took 1170 J of work. What force was used, in newtons?
- 38.🏋️ A force of 400 N did 2800 J of work. How many metres did the object move?
- 39.🏋️ A force of 420 N did 420 J of work. How many metres did the object move?
- 40.🏋️ A force of 470 N pushes a cart 6 m along the floor. How much work is done, in joules?
Answer key
- joule (J)
- 350
- 700
- 180
- 10
- 750
- 320
- 900
- 6
- 810
- 410
- 280
- 1230
- less effort
- 2
- 480
- 410
- 390
- 2
- 50
- 3
- 5
- 450
- through a distance
- no, work stays the same
- 1
- 2
- load ÷ effort
- 440
- 390
- 3
- 550
- 2
- 310
- 250
- 3
- 390
- 7
- 1
- 2820
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