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 3 m took 1380 J of work. What force was used, in newtons?
- 2.🏋️ A force of 220 N did 1100 J of work. How many metres did the object move?
- 3.🏋️ A 10 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A force of 70 N did 350 J of work. How many metres did the object move?
- 5.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 6.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 8.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) load + effort (d) effort ÷ load
- 9.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ 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?
- 11.🏋️ Pushing a crate 2 m took 300 J of work. What force was used, in newtons?
- 12.🏋️ A force of 330 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 390 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 5 m took 650 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 6 m took 1680 J of work. What force was used, in newtons?
- 16.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) the same effort (d) no effort
- 17.🏋️ A force of 420 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 8 m took 1360 J of work. What force was used, in newtons?
- 19.🏋️ Pushing a crate 9 m took 3870 J of work. What force was used, in newtons?
- 20.🏋️ Pushing a crate 5 m took 1150 J of work. What force was used, in newtons?
- 21.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 490 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 23.🏋️ A 12 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.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 410 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 150 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 27.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 28.🏋️ A force of 440 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 460 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 30.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ Pushing a crate 9 m took 1800 J of work. What force was used, in newtons?
- 33.🏋️ A force of 420 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 10 m took 2500 J of work. What force was used, in newtons?
- 35.🏋️ A force of 170 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 36.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 37.🏋️ 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)
- 38.🏋️ A force of 430 N did 1720 J of work. How many metres did the object move?
- 39.🏋️ A force of 380 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 40.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 460
- 5
- 300
- 5
- 6
- 350
- through a distance
- load ÷ effort
- 750
- 320
- 150
- 1320
- 1950
- 130
- 280
- less effort
- 3780
- 170
- 430
- 230
- 5
- 980
- 600
- 750
- 2460
- 1200
- joule (J)
- 3960
- 2760
- 550
- 850
- 200
- 1680
- 250
- 1190
- no, work stays the same
- 350
- 4
- 1140
- 40
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