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 force of 90 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 2.🏋️ Pushing a crate 4 m took 440 J of work. What force was used, in newtons?
- 3.🏋️ A force of 270 N did 1890 J of work. How many metres did the object move?
- 4.🏋️ Pushing a crate 3 m took 180 J of work. What force was used, in newtons?
- 5.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 6.🏋️ Pushing a crate 2 m took 440 J of work. What force was used, in newtons?
- 7.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Pushing a crate 5 m took 1550 J of work. What force was used, in newtons?
- 10.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 11.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) effort ÷ load (d) load × effort
- 13.🏋️ Pushing a crate 9 m took 2520 J of work. What force was used, in newtons?
- 14.🏋️ A machine lifts a load of 760 N when you push with 190 N. What is its mechanical advantage (MA)?
- 15.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 60 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 120 N did 600 J of work. How many metres did the object move?
- 19.🏋️ Pushing a crate 2 m took 800 J of work. What force was used, in newtons?
- 20.🏋️ Pushing a crate 8 m took 1360 J of work. What force was used, in newtons?
- 21.🏋️ 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?
- 22.🏋️ Pushing a crate 3 m took 30 J of work. What force was used, in newtons?
- 23.🏋️ 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)
- 24.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) only on Mondays (d) yes, by half
- 26.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 27.🏋️ A 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ Pushing a crate 6 m took 900 J of work. What force was used, in newtons?
- 29.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ Pushing a crate 3 m took 1380 J of work. What force was used, in newtons?
- 31.🏋️ Pushing a crate 3 m took 1260 J of work. What force was used, in newtons?
- 32.🏋️ A force of 380 N did 1900 J of work. How many metres did the object move?
- 33.🏋️ A force of 190 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 34.🏋️ A 13 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ Pushing a crate 9 m took 810 J of work. What force was used, in newtons?
- 36.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 37.🏋️ An 11 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ An 11 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 40.🏋️ 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?
Answer key
- 450
- 110
- 7
- 60
- less effort
- 220
- 50
- 600
- 310
- through a distance
- 250
- load ÷ effort
- 280
- 4
- 600
- 3
- 540
- 5
- 400
- 170
- 60
- 10
- 250
- 600
- no, work stays the same
- 6
- 500
- 150
- 600
- 460
- 420
- 5
- 950
- 260
- 90
- 4
- 110
- 220
- 2
- 420
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