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 500 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 2.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) joule (J) (d) watt hour
- 3.🏋️ Pushing a crate 7 m took 70 J of work. What force was used, in newtons?
- 4.🏋️ Pushing a crate 1 m took 320 J of work. What force was used, in newtons?
- 5.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 6.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ 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
- 8.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) through a distance (d) without moving it
- 9.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ Pushing a crate 8 m took 3760 J of work. What force was used, in newtons?
- 11.🏋️ Pushing a crate 2 m took 480 J of work. What force was used, in newtons?
- 12.🏋️ A 12 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 14.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 15.🏋️ A force of 200 N did 800 J of work. How many metres did the object move?
- 16.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 17.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 18.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 470 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 170 N did 510 J of work. How many metres did the object move?
- 21.🏋️ Pushing a crate 6 m took 1620 J of work. What force was used, in newtons?
- 22.🏋️ A 6 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 30 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 26.🏋️ Pushing a crate 2 m took 820 J of work. What force was used, in newtons?
- 27.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 30.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 470 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 300 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 33.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 34.🏋️ A force of 80 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 35.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 340 N did 340 J of work. How many metres did the object move?
- 37.🏋️ A force of 80 N did 160 J of work. How many metres did the object move?
- 38.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ Pushing a crate 1 m took 270 J of work. What force was used, in newtons?
- 40.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
Answer key
- 1000
- joule (J)
- 10
- 320
- 2
- 70
- no, work stays the same
- through a distance
- 380
- 470
- 240
- 240
- 2
- 4
- 4
- 3
- less effort
- 250
- 2350
- 3
- 270
- 180
- 600
- 5
- 240
- 410
- 750
- 400
- 3
- 4
- 470
- 1500
- load ÷ effort
- 80
- 150
- 1
- 2
- 150
- 270
- 6
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