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 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 2.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 3.🏋️ A force of 380 N did 3420 J of work. How many metres did the object move?
- 4.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 5.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 6.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ Pushing a crate 7 m took 630 J of work. What force was used, in newtons?
- 9.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 10.🏋️ A force of 410 N did 4100 J of work. How many metres did the object move?
- 11.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ Pushing a crate 3 m took 990 J of work. What force was used, in newtons?
- 15.🏋️ A force of 220 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 16.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 18.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 19.🏋️ Pushing a crate 1 m took 140 J of work. What force was used, in newtons?
- 20.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 100 N did 800 J of work. How many metres did the object move?
- 23.🏋️ 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?
- 24.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 25.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 340 N did 1360 J of work. How many metres did the object move?
- 27.🏋️ A machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 330 N did 660 J of work. How many metres did the object move?
- 29.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) only on Mondays (d) yes, always
- 31.🏋️ Pushing a crate 5 m took 2050 J of work. What force was used, in newtons?
- 32.🏋️ A force of 10 N did 30 J of work. How many metres did the object move?
- 33.🏋️ Pushing a crate 5 m took 250 J of work. What force was used, in newtons?
- 34.🏋️ A force of 110 N did 1100 J of work. How many metres did the object move?
- 35.🏋️ A force of 380 N did 1900 J of work. How many metres did the object move?
- 36.🏋️ Pushing a crate 3 m took 450 J of work. What force was used, in newtons?
- 37.🏋️ A force of 40 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 38.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 39.🏋️ Pushing a crate 8 m took 4000 J of work. What force was used, in newtons?
- 40.🏋️ A force of 160 N did 1120 J of work. How many metres did the object move?
Answer key
- 3
- 3
- 9
- through a distance
- less effort
- 450
- 30
- 90
- joule (J)
- 10
- 170
- 350
- 1000
- 330
- 220
- 550
- load ÷ effort
- 5
- 140
- 950
- 3
- 8
- 480
- 6
- 550
- 4
- 5
- 2
- 760
- no, work stays the same
- 410
- 3
- 50
- 10
- 5
- 150
- 240
- 4
- 500
- 7
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