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.🏋️ Pushing a crate 6 m took 2280 J of work. What force was used, in newtons?
- 2.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 3.🏋️ A force of 10 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 20 N did 200 J of work. How many metres did the object move?
- 5.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) yes, always (d) no, work stays the same
- 6.🏋️ 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?
- 7.🏋️ A force of 150 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 8.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) less effort (d) the same effort
- 10.🏋️ Pushing a crate 9 m took 3420 J of work. What force was used, in newtons?
- 11.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) effort ÷ load (d) load + effort
- 12.🏋️ Pushing a crate 1 m took 490 J of work. What force was used, in newtons?
- 13.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) very slowly (d) through a distance
- 14.🏋️ Pushing a crate 1 m took 330 J of work. What force was used, in newtons?
- 15.🏋️ A 13 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ 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?
- 17.🏋️ A force of 230 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 330 N did 660 J of work. How many metres did the object move?
- 19.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 20.🏋️ Pushing a crate 9 m took 4140 J of work. What force was used, in newtons?
- 21.🏋️ A force of 380 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 22.🏋️ Pushing a crate 2 m took 580 J of work. What force was used, in newtons?
- 23.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 350 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 50 N did 300 J of work. How many metres did the object move?
- 26.🏋️ 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?
- 27.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 28.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 29.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1750 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ Pushing a crate 4 m took 480 J of work. What force was used, in newtons?
- 31.🏋️ A force of 80 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 4 m took 1480 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 6 m took 840 J of work. What force was used, in newtons?
- 34.🏋️ Pushing a crate 8 m took 1360 J of work. What force was used, in newtons?
- 35.🏋️ A force of 80 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 270 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 37.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ 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?
- 39.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 40.🏋️ Pushing a crate 1 m took 60 J of work. What force was used, in newtons?
Answer key
- 380
- 6
- 50
- 10
- no, work stays the same
- 220
- 1050
- 150
- less effort
- 380
- load ÷ effort
- 490
- through a distance
- 330
- 650
- 390
- 690
- 2
- 4
- 460
- 760
- 290
- 850
- 1050
- 6
- 190
- 6
- joule (J)
- 350
- 120
- 80
- 370
- 140
- 170
- 640
- 1080
- 550
- 320
- 6
- 60
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