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 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 130 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 3.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A 14 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A machine lifts a load of 650 N when you push with 130 N. What is its mechanical advantage (MA)?
- 7.🏋️ A force of 40 N did 280 J of work. How many metres did the object move?
- 8.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
- 9.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 13.🏋️ A 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 15.🏋️ Pushing a crate 1 m took 20 J of work. What force was used, in newtons?
- 16.🏋️ A 19 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.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, always (d) yes, by half
- 18.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 60 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 380 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 5 m took 500 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 3 m took 210 J of work. What force was used, in newtons?
- 23.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 24.🏋️ Pushing a crate 3 m took 300 J of work. What force was used, in newtons?
- 25.🏋️ 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)
- 26.🏋️ Pushing a crate 7 m took 490 J of work. What force was used, in newtons?
- 27.🏋️ A force of 50 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 28.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 29.🏋️ Pushing a crate 2 m took 160 J of work. What force was used, in newtons?
- 30.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ Pushing a crate 8 m took 400 J of work. What force was used, in newtons?
- 32.🏋️ A force of 410 N did 1640 J of work. How many metres did the object move?
- 33.🏋️ A force of 320 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 34.🏋️ An 11 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 36.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) effort ÷ load (d) load + effort
- 37.🏋️ Pushing a crate 3 m took 1470 J of work. What force was used, in newtons?
- 38.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 90 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 40.🏋️ Pushing a crate 6 m took 1620 J of work. What force was used, in newtons?
Answer key
- 2
- 1040
- 400
- 700
- 100
- 5
- 7
- less effort
- 50
- 100
- 450
- 4
- 500
- 3
- 20
- 570
- no, work stays the same
- 3
- 60
- 3800
- 100
- 70
- through a distance
- 100
- 950
- 70
- 300
- 6
- 80
- 250
- 50
- 4
- 320
- 330
- joule (J)
- load ÷ effort
- 490
- 5
- 90
- 270
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