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 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 2.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) no, work stays the same (d) only on Mondays
- 3.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 5.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 6.🏋️ A 16 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.🏋️ A force of 440 N did 3960 J of work. How many metres did the object move?
- 8.🏋️ Pushing a crate 2 m took 620 J of work. What force was used, in newtons?
- 9.🏋️ A 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A force of 240 N did 2160 J of work. How many metres did the object move?
- 11.🏋️ Pushing a crate 2 m took 320 J of work. What force was used, in newtons?
- 12.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 13.🏋️ A force of 90 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 14.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 15.🏋️ A force of 290 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 16.🏋️ 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?
- 17.🏋️ Pushing a crate 8 m took 3440 J of work. What force was used, in newtons?
- 18.🏋️ A force of 450 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 90 N did 720 J of work. How many metres did the object move?
- 20.🏋️ A force of 230 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 21.🏋️ 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)
- 22.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 24.🏋️ A force of 390 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 7 m took 1680 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 8 m took 1760 J of work. What force was used, in newtons?
- 27.🏋️ A force of 330 N did 1980 J of work. How many metres did the object move?
- 28.🏋️ A force of 120 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 7 m took 700 J of work. What force was used, in newtons?
- 30.🏋️ A force of 490 N did 490 J of work. How many metres did the object move?
- 31.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A force of 180 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 33.🏋️ Pushing a crate 3 m took 1110 J of work. What force was used, in newtons?
- 34.🏋️ A force of 340 N did 680 J of work. How many metres did the object move?
- 35.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 60 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 37.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 38.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 230 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 40.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
Answer key
- 3
- no, work stays the same
- 100
- 3
- 5
- 160
- 9
- 310
- 640
- 9
- 160
- through a distance
- 540
- load ÷ effort
- 2610
- 650
- 430
- 1800
- 8
- 1610
- 600
- 900
- 5
- 1950
- 240
- 220
- 6
- 960
- 100
- 1
- 400
- 1260
- 370
- 2
- 300
- 420
- 4
- 150
- 1150
- less effort
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