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 machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 2.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 4.🏋️ A 14 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A force of 480 N did 960 J of work. How many metres did the object move?
- 6.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 7.🏋️ Pushing a crate 2 m took 140 J of work. What force was used, in newtons?
- 8.🏋️ Pushing a crate 4 m took 680 J of work. What force was used, in newtons?
- 9.🏋️ Pushing a crate 7 m took 2240 J of work. What force was used, in newtons?
- 10.🏋️ A force of 260 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 11.🏋️ Pushing a crate 10 m took 3500 J of work. What force was used, in newtons?
- 12.🏋️ Pushing a crate 6 m took 180 J of work. What force was used, in newtons?
- 13.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 14.🏋️ A force of 240 N did 2160 J of work. How many metres did the object move?
- 15.🏋️ A force of 470 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 16.🏋️ An 8 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 smooth ramp is 6 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 19.🏋️ Pushing a crate 4 m took 760 J of work. What force was used, in newtons?
- 20.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ Pushing a crate 4 m took 240 J of work. What force was used, in newtons?
- 22.🏋️ A force of 470 N did 2350 J of work. How many metres did the object move?
- 23.🏋️ A force of 290 N did 870 J of work. How many metres did the object move?
- 24.🏋️ Pushing a crate 10 m took 600 J of work. What force was used, in newtons?
- 25.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 26.🏋️ A force of 90 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 260 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 28.🏋️ Pushing a crate 9 m took 630 J of work. What force was used, in newtons?
- 29.🏋️ Pushing a crate 9 m took 1800 J of work. What force was used, in newtons?
- 30.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ 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?
- 32.🏋️ A force of 50 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 33.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 35.🏋️ Pushing a crate 4 m took 1120 J of work. What force was used, in newtons?
- 36.🏋️ Pushing a crate 10 m took 4600 J of work. What force was used, in newtons?
- 37.🏋️ A 12 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) no, work stays the same (d) yes, always
- 39.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
Answer key
- 5
- 650
- 2
- 140
- 2
- 3
- 70
- 170
- 320
- 1300
- 350
- 30
- joule (J)
- 9
- 3290
- 240
- 400
- load ÷ effort
- 190
- 130
- 60
- 5
- 3
- 60
- through a distance
- 270
- 520
- 70
- 200
- 650
- 420
- 100
- 1000
- less effort
- 280
- 460
- 480
- no, work stays the same
- 550
- 2
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